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%!PS-AdobeFont-1.1: CMB10 1.0
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%%CreationDate: 1991 Aug 20 16:34:36
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% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
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/FontInfo 7 dict dup begin
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/version (1.0) readonly def
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/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
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/FullName (CMB10) readonly def
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/FamilyName (Computer Modern) readonly def
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/Weight (Bold) readonly def
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/isFixedPitch false def
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/FontMatrix [0.001 0 0 0.001 0 0] readonly def
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0 1 255 {1 index exch /.notdef put} for
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dup 91 /bracketleft put
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dup 93 /bracketright put
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/FontBBox{-62 -250 1011 750}readonly def
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%%BeginFont: CMSLTT10
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%!PS-AdobeFont-1.1: CMSLTT10 1.0
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%%CreationDate: 1991 Aug 20 16:41:43
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% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
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/FontInfo 7 dict dup begin
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/version (1.0) readonly def
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/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
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/FullName (CMSLTT10) readonly def
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/FamilyName (Computer Modern) readonly def
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/Weight (Medium) readonly def
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/FontName /CMSLTT10 def
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%!PS-AdobeFont-1.1: CMSL10 1.0
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%%CreationDate: 1991 Aug 20 16:40:20
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% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
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/FontInfo 7 dict dup begin
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/version (1.0) readonly def
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/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
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/FullName (CMSL10) readonly def
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/FamilyName (Computer Modern) readonly def
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/Weight (Medium) readonly def
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/isFixedPitch false def
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/FontName /CMSL10 def
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/FontMatrix [0.001 0 0 0.001 0 0] readonly def
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%!PS-AdobeFont-1.1: CMSS10 1.0
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%%CreationDate: 1991 Aug 20 17:33:34
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% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
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/FontInfo 7 dict dup begin
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/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
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%!PS-AdobeFont-1.1: CMTT10 1.00B
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%%CreationDate: 1992 Apr 26 10:42:42
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% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
1318
/FontInfo 7 dict dup begin
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/FamilyName (Computer Modern) readonly def
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/Weight (Medium) readonly def
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/FontName /CMTT10 def
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/FontMatrix [0.001 0 0 0.001 0 0] readonly def
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0 1 255 {1 index exch /.notdef put} for
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dup 38 /ampersand put
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/FontBBox{-4 -235 731 800}readonly def
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%!PS-AdobeFont-1.1: CMTT9 1.0
1754
%%CreationDate: 1991 Aug 20 16:46:24
1755
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
1757
/FontInfo 7 dict dup begin
1758
/version (1.0) readonly def
1759
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
1760
/FullName (CMTT9) readonly def
1761
/FamilyName (Computer Modern) readonly def
1762
/Weight (Medium) readonly def
1764
/isFixedPitch true def
1766
/FontName /CMTT9 def
1769
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
1771
0 1 255 {1 index exch /.notdef put} for
1773
dup 38 /ampersand put
1774
dup 39 /quoteright put
1775
dup 40 /parenleft put
1776
dup 41 /parenright put
1777
dup 42 /asterisk put
1787
dup 59 /semicolon put
1813
dup 95 /underscore put
1814
dup 96 /quoteleft put
1842
/FontBBox{-6 -233 542 698}readonly def
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1958
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1960
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1961
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1962
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1963
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1964
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1966
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1967
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1968
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1969
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1970
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1971
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1972
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1973
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1974
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1975
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1976
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1977
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1978
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1979
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1980
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1981
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1982
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1983
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1984
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1985
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1986
2FD1D40C307D5146B5D262F28C6F939948B26FB104BBEFF7EF72D9DF5930F8CD
1987
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1988
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1989
2CB689630E12E723C9687FB697BA74A8E0E5D833F2732DFB33FADFE822F6A1F5
1990
8E5533E00D13212C04B217BD881B4B72948E22F7CBA51FF94F6B2A6FE282804E
1991
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1992
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1993
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1994
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1995
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1996
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1997
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1998
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1999
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2000
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2001
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2002
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2003
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2004
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2005
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2006
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2007
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2008
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2009
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2010
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2011
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2012
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2013
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2014
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2015
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2016
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2017
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2018
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2019
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2020
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2021
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2022
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2023
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2024
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2025
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2026
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2027
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2028
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2029
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2030
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2031
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2032
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2033
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2034
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2035
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2036
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2037
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2038
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2039
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2040
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2041
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2042
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2043
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2044
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2045
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2046
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2047
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2048
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2049
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2050
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2051
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2052
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2053
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2054
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2055
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2056
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2057
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2058
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2059
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2060
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2061
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2062
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2064
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2065
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2066
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2067
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2068
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2069
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2070
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2071
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2072
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2073
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2074
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2075
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2076
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2077
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2078
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2079
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2080
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2081
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2082
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2083
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2084
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2085
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2086
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2087
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2088
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2089
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2090
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2091
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2092
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2093
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2094
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2095
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2096
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2097
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2098
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2099
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2100
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2101
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2102
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2103
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2104
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2105
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2106
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2107
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2108
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2109
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2110
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2111
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2112
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2113
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2114
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2115
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2116
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2117
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2118
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2119
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2120
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2121
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2122
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2123
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2124
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2125
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2126
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2127
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2128
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2129
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2130
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2131
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2132
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2133
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2134
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2135
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2136
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2137
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2138
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2139
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2140
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2141
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2142
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2143
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2144
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2146
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2147
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2148
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2150
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2159
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2160
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2161
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2162
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2163
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2166
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2167
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2168
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%!PS-AdobeFont-1.1: CMSY10 1.0
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%%CreationDate: 1991 Aug 15 07:20:57
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% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
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/FontInfo 7 dict dup begin
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%!PS-AdobeFont-1.1: CMR10 1.00B
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%%CreationDate: 1992 Feb 19 19:54:52
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% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
2813
/FontInfo 7 dict dup begin
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/FamilyName (Computer Modern) readonly def
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/Weight (Medium) readonly def
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/isFixedPitch false def
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/FontName /CMR10 def
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/FontMatrix [0.001 0 0 0.001 0 0] readonly def
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0 1 255 {1 index exch /.notdef put} for
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dup 34 /quotedblright put
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dup 39 /quoteright put
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dup 40 /parenleft put
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dup 41 /parenright put
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dup 59 /semicolon put
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dup 60 /exclamdown put
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dup 62 /questiondown put
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dup 91 /bracketleft put
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dup 92 /quotedblleft put
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dup 93 /bracketright put
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dup 96 /quoteleft put
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3609
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3610
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3611
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3612
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3613
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3614
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3615
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3616
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3617
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3618
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3619
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3620
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3621
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3622
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3623
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3624
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3625
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3626
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3627
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3628
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3629
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3630
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3631
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3632
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3633
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3634
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3635
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3636
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3637
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3638
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3639
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3640
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3641
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3642
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3643
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3644
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3645
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3646
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3647
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3648
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3649
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3650
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3654
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3655
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3656
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3658
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3660
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3661
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3665
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3667
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3668
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3678
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3680
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3682
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3685
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3694
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3696
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3697
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3701
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3703
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3707
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3709
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3710
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3711
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3713
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3714
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3716
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3717
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3718
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3719
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3720
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3721
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3723
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3726
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3727
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3739
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3740
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3745
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3747
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3783
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3790
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3792
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3793
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3794
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3795
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3796
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3797
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3798
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3799
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3800
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3801
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3802
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3804
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3805
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3806
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3807
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3808
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3809
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3810
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3811
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3812
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3813
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3815
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3816
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3817
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3818
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3819
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3820
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3821
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3822
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3823
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3824
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3825
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3826
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3827
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3828
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3829
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3830
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3832
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3833
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3834
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3835
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3836
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3837
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3838
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3839
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3840
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3841
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3842
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3843
880 y(w)m(ork)c(with)g(that)g(Ma)5 b(jor)31 b(Comp)s(onen)m(t,)e(or)h
3844
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3845
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3846
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3847
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3848
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3849
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3850
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3851
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3852
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3853
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3854
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3855
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3856
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3857
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3858
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3859
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3860
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3861
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3862
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3863
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3864
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3865
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3866
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3867
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3868
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3869
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3870
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3871
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3872
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3873
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3874
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3875
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3876
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3877
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3878
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3879
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3880
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3881
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3882
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3883
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3884
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3885
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3886
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3887
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3888
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3889
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3890
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3891
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3892
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3893
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3894
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3895
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3896
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3897
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3898
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3899
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3900
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3901
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3902
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3903
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3904
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3905
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3906
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3907
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3908
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3909
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3910
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3911
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3912
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3913
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3914
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3915
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3916
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3917
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3918
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3919
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3920
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3921
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3923
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3924
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3925
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3926
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3927
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3928
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3929
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3930
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3931
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3932
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3933
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3934
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3935
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3936
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3937
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3938
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3939
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3940
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3941
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3942
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3943
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3944
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3945
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3946
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3947
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3948
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3949
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3950
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3951
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3952
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3953
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3954
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3955
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3956
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3957
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3958
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3959
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3960
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3961
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3962
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3963
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3964
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3965
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3966
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3967
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3968
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3969
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3970
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3971
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3972
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3973
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3974
b(,)30 b(along)h(with)f(an)m(y)510 3671 y(applicable)k(section)f(7)g
3975
(additional)h(terms,)f(to)h(the)e(whole)h(of)g(the)g(w)m(ork,)g(and)f
3976
(all)i(its)f(parts,)510 3780 y(regardless)h(of)g(ho)m(w)g(they)g(are)g
3977
(pac)m(k)-5 b(aged.)52 b(This)33 b(License)h(giv)m(es)h(no)f(p)s
3978
(ermission)e(to)j(license)510 3890 y(the)c(w)m(ork)h(in)f(an)m(y)g
3979
(other)h(w)m(a)m(y)-8 b(,)33 b(but)d(it)i(do)s(es)f(not)g(in)m(v)-5
3980
b(alidate)33 b(suc)m(h)e(p)s(ermission)f(if)h(y)m(ou)h(ha)m(v)m(e)510
3981
4000 y(separately)g(receiv)m(ed)f(it.)374 4143 y(d.)60
3982
b(If)36 b(the)h(w)m(ork)g(has)g(in)m(teractiv)m(e)j(user)c(in)m
3983
(terfaces,)k(eac)m(h)e(m)m(ust)f(displa)m(y)g(Appropriate)g(Legal)510
3984
4253 y(Notices;)49 b(ho)m(w)m(ev)m(er,)c(if)c(the)h(Program)f(has)g(in)
3985
m(teractiv)m(e)j(in)m(terfaces)e(that)g(do)f(not)h(displa)m(y)510
3986
4362 y(Appropriate)30 b(Legal)i(Notices,)g(y)m(our)f(w)m(ork)f(need)g
3987
(not)h(mak)m(e)g(them)g(do)f(so.)330 4539 y(A)38 b(compilation)h(of)f
3988
(a)g(co)m(v)m(ered)h(w)m(ork)f(with)f(other)h(separate)h(and)e(indep)s
3989
(enden)m(t)f(w)m(orks,)k(whic)m(h)330 4649 y(are)c(not)g(b)m(y)g(their)
3990
g(nature)f(extensions)h(of)g(the)g(co)m(v)m(ered)i(w)m(ork,)f(and)e
3991
(whic)m(h)h(are)g(not)g(com)m(bined)330 4758 y(with)27
3992
b(it)i(suc)m(h)e(as)h(to)h(form)e(a)h(larger)h(program,)f(in)f(or)h(on)
3993
g(a)g(v)m(olume)g(of)g(a)h(storage)g(or)f(distribution)330
3994
4868 y(medium,)43 b(is)f(called)g(an)g(\\aggregate")j(if)c(the)h
3995
(compilation)h(and)e(its)g(resulting)h(cop)m(yrigh)m(t)h(are)330
3996
4977 y(not)31 b(used)f(to)h(limit)h(the)e(access)i(or)f(legal)h(righ)m
3997
(ts)f(of)g(the)g(compilation's)h(users)e(b)s(ey)m(ond)g(what)h(the)330
3998
5087 y(individual)j(w)m(orks)h(p)s(ermit.)54 b(Inclusion)34
3999
b(of)h(a)h(co)m(v)m(ered)g(w)m(ork)f(in)g(an)g(aggregate)j(do)s(es)c
4000
(not)h(cause)330 5197 y(this)30 b(License)h(to)g(apply)f(to)h(the)g
4001
(other)g(parts)f(of)g(the)h(aggregate.)199 5340 y(6.)61
4002
b(Con)m(v)m(eying)31 b(Non-Source)g(F)-8 b(orms.)p eop
4005
TeXDict begin 6 9 bop 150 -116 a Fp(Chapter)30 b(1:)41
4006
b(GNU)31 b(GENERAL)f(PUBLIC)g(LICENSE)1588 b(6)330 299
4007
y(Y)-8 b(ou)29 b(ma)m(y)h(con)m(v)m(ey)g(a)f(co)m(v)m(ered)i(w)m(ork)e
4008
(in)f(ob)5 b(ject)30 b(co)s(de)f(form)f(under)g(the)h(terms)f(of)h
4009
(sections)h(4)g(and)330 408 y(5,)42 b(pro)m(vided)d(that)g(y)m(ou)h
4010
(also)g(con)m(v)m(ey)g(the)g(mac)m(hine-readable)g(Corresp)s(onding)e
4011
(Source)g(under)330 518 y(the)31 b(terms)f(of)g(this)h(License,)g(in)f
4012
(one)h(of)f(these)h(w)m(a)m(ys:)379 655 y(a.)61 b(Con)m(v)m(ey)32
4013
b(the)f(ob)5 b(ject)31 b(co)s(de)g(in,)g(or)g(em)m(b)s(o)s(died)f(in,)h
4014
(a)g(ph)m(ysical)h(pro)s(duct)d(\(including)i(a)g(ph)m(ys-)510
4015
765 y(ical)37 b(distribution)d(medium\),)j(accompanied)f(b)m(y)f(the)h
4016
(Corresp)s(onding)d(Source)j(\014xed)e(on)i(a)510 874
4017
y(durable)30 b(ph)m(ysical)h(medium)e(customarily)i(used)f(for)g(soft)m
4018
(w)m(are)i(in)m(terc)m(hange.)374 1011 y(b.)60 b(Con)m(v)m(ey)30
4019
b(the)f(ob)5 b(ject)30 b(co)s(de)f(in,)g(or)g(em)m(b)s(o)s(died)f(in,)h
4020
(a)g(ph)m(ysical)g(pro)s(duct)f(\(including)h(a)g(ph)m(ysi-)510
4021
1121 y(cal)k(distribution)e(medium\),)h(accompanied)h(b)m(y)e(a)i
4022
(written)f(o\013er,)g(v)-5 b(alid)33 b(for)e(at)i(least)g(three)510
4023
1230 y(y)m(ears)i(and)f(v)-5 b(alid)35 b(for)f(as)g(long)h(as)g(y)m(ou)
4024
g(o\013er)f(spare)h(parts)f(or)g(customer)h(supp)s(ort)d(for)i(that)510
4025
1340 y(pro)s(duct)c(mo)s(del,)i(to)g(giv)m(e)g(an)m(y)m(one)h(who)d(p)s
4026
(ossesses)h(the)h(ob)5 b(ject)32 b(co)s(de)f(either)h(\(1\))g(a)g(cop)m
4027
(y)g(of)510 1450 y(the)24 b(Corresp)s(onding)e(Source)i(for)g(all)h
4028
(the)f(soft)m(w)m(are)h(in)f(the)g(pro)s(duct)f(that)i(is)f(co)m(v)m
4029
(ered)h(b)m(y)f(this)510 1559 y(License,)30 b(on)g(a)f(durable)g(ph)m
4030
(ysical)h(medium)e(customarily)i(used)f(for)g(soft)m(w)m(are)i(in)m
4031
(terc)m(hange,)510 1669 y(for)k(a)g(price)h(no)f(more)g(than)g(y)m(our)
4032
g(reasonable)h(cost)g(of)f(ph)m(ysically)h(p)s(erforming)e(this)h(con-)
4033
510 1778 y(v)m(eying)f(of)f(source,)g(or)g(\(2\))h(access)g(to)g(cop)m
4034
(y)f(the)g(Corresp)s(onding)e(Source)i(from)f(a)h(net)m(w)m(ork)510
4035
1888 y(serv)m(er)e(at)g(no)f(c)m(harge.)384 2025 y(c.)61
4036
b(Con)m(v)m(ey)40 b(individual)e(copies)h(of)g(the)g(ob)5
4037
b(ject)40 b(co)s(de)f(with)g(a)g(cop)m(y)g(of)g(the)g(written)g
4038
(o\013er)g(to)510 2134 y(pro)m(vide)e(the)g(Corresp)s(onding)e(Source.)
4039
59 b(This)36 b(alternativ)m(e)k(is)c(allo)m(w)m(ed)j(only)e(o)s
4040
(ccasionally)510 2244 y(and)29 b(noncommercially)-8 b(,)31
4041
b(and)e(only)g(if)h(y)m(ou)f(receiv)m(ed)i(the)e(ob)5
4042
b(ject)31 b(co)s(de)e(with)g(suc)m(h)g(an)g(o\013er,)510
4043
2354 y(in)h(accord)h(with)f(subsection)h(6b.)374 2491
4044
y(d.)60 b(Con)m(v)m(ey)37 b(the)f(ob)5 b(ject)37 b(co)s(de)f(b)m(y)g
4045
(o\013ering)g(access)i(from)d(a)i(designated)f(place)h(\(gratis)g(or)f
4046
(for)510 2600 y(a)j(c)m(harge\),)k(and)c(o\013er)g(equiv)-5
4047
b(alen)m(t)41 b(access)f(to)g(the)f(Corresp)s(onding)e(Source)i(in)f
4048
(the)i(same)510 2710 y(w)m(a)m(y)30 b(through)f(the)g(same)h(place)h
4049
(at)f(no)f(further)f(c)m(harge.)41 b(Y)-8 b(ou)30 b(need)f(not)h
4050
(require)f(recipien)m(ts)510 2819 y(to)42 b(cop)m(y)h(the)f(Corresp)s
4051
(onding)e(Source)h(along)i(with)f(the)g(ob)5 b(ject)42
4052
b(co)s(de.)75 b(If)42 b(the)f(place)i(to)510 2929 y(cop)m(y)c(the)g(ob)
4053
5 b(ject)39 b(co)s(de)g(is)g(a)g(net)m(w)m(ork)g(serv)m(er,)i(the)e
4054
(Corresp)s(onding)e(Source)h(ma)m(y)h(b)s(e)f(on)510
4055
3039 y(a)45 b(di\013eren)m(t)g(serv)m(er)f(\(op)s(erated)h(b)m(y)f(y)m
4056
(ou)h(or)g(a)f(third)g(part)m(y\))h(that)g(supp)s(orts)d(equiv)-5
4057
b(alen)m(t)510 3148 y(cop)m(ying)35 b(facilities,)i(pro)m(vided)c(y)m
4058
(ou)h(main)m(tain)h(clear)g(directions)f(next)g(to)h(the)f(ob)5
4059
b(ject)35 b(co)s(de)510 3258 y(sa)m(ying)h(where)f(to)h(\014nd)d(the)i
4060
(Corresp)s(onding)f(Source.)55 b(Regardless)35 b(of)h(what)f(serv)m(er)
4061
g(hosts)510 3367 y(the)e(Corresp)s(onding)e(Source,)j(y)m(ou)f(remain)f
4062
(obligated)j(to)e(ensure)f(that)i(it)f(is)g(a)m(v)-5
4063
b(ailable)35 b(for)510 3477 y(as)c(long)g(as)f(needed)g(to)h(satisfy)g
4064
(these)g(requiremen)m(ts.)384 3614 y(e.)61 b(Con)m(v)m(ey)24
4065
b(the)g(ob)5 b(ject)24 b(co)s(de)f(using)g(p)s(eer-to-p)s(eer)h
4066
(transmission,)g(pro)m(vided)f(y)m(ou)h(inform)f(other)510
4067
3724 y(p)s(eers)d(where)g(the)h(ob)5 b(ject)22 b(co)s(de)f(and)f
4068
(Corresp)s(onding)f(Source)i(of)g(the)g(w)m(ork)g(are)g(b)s(eing)g
4069
(o\013ered)510 3833 y(to)31 b(the)g(general)g(public)f(at)h(no)f(c)m
4070
(harge)i(under)d(subsection)h(6d.)330 3998 y(A)35 b(separable)f(p)s
4071
(ortion)g(of)h(the)g(ob)5 b(ject)35 b(co)s(de,)h(whose)e(source)h(co)s
4072
(de)g(is)f(excluded)g(from)g(the)h(Cor-)330 4107 y(resp)s(onding)c
4073
(Source)h(as)h(a)g(System)f(Library)-8 b(,)33 b(need)f(not)h(b)s(e)e
4074
(included)h(in)g(con)m(v)m(eying)i(the)f(ob)5 b(ject)330
4075
4217 y(co)s(de)31 b(w)m(ork.)330 4354 y(A)h(\\User)g(Pro)s(duct")f(is)h
4076
(either)g(\(1\))g(a)g(\\consumer)g(pro)s(duct",)f(whic)m(h)h(means)f
4077
(an)m(y)h(tangible)h(p)s(er-)330 4463 y(sonal)g(prop)s(ert)m(y)g(whic)m
4078
(h)f(is)h(normally)h(used)e(for)h(p)s(ersonal,)g(family)-8
4079
b(,)35 b(or)e(household)f(purp)s(oses,)g(or)330 4573
4080
y(\(2\))26 b(an)m(ything)f(designed)f(or)h(sold)g(for)f(incorp)s
4081
(oration)h(in)m(to)h(a)f(dw)m(elling.)39 b(In)24 b(determining)h
4082
(whether)330 4682 y(a)30 b(pro)s(duct)e(is)h(a)h(consumer)f(pro)s
4083
(duct,)f(doubtful)h(cases)h(shall)g(b)s(e)e(resolv)m(ed)j(in)e(fa)m(v)m
4084
(or)h(of)g(co)m(v)m(erage.)330 4792 y(F)-8 b(or)42 b(a)g(particular)g
4085
(pro)s(duct)f(receiv)m(ed)i(b)m(y)e(a)h(particular)g(user,)i
4086
(\\normally)f(used")e(refers)g(to)i(a)330 4902 y(t)m(ypical)e(or)e
4087
(common)h(use)e(of)i(that)g(class)g(of)f(pro)s(duct,)h(regardless)g(of)
4088
f(the)h(status)f(of)h(the)f(par-)330 5011 y(ticular)d(user)e(or)h(of)h
4089
(the)f(w)m(a)m(y)h(in)f(whic)m(h)f(the)i(particular)f(user)g(actually)h
4090
(uses,)g(or)f(exp)s(ects)h(or)f(is)330 5121 y(exp)s(ected)d(to)g(use,)g
4091
(the)g(pro)s(duct.)43 b(A)32 b(pro)s(duct)f(is)g(a)h(consumer)f(pro)s
4092
(duct)g(regardless)h(of)g(whether)330 5230 y(the)h(pro)s(duct)f(has)h
4093
(substan)m(tial)g(commercial,)j(industrial)c(or)h(non-consumer)g(uses,)
4094
g(unless)f(suc)m(h)330 5340 y(uses)e(represen)m(t)g(the)h(only)f
4095
(signi\014can)m(t)i(mo)s(de)e(of)g(use)g(of)h(the)f(pro)s(duct.)p
4098
TeXDict begin 7 10 bop 150 -116 a Fp(Chapter)30 b(1:)41
4099
b(GNU)31 b(GENERAL)f(PUBLIC)g(LICENSE)1588 b(7)330 299
4100
y(\\Installation)31 b(Information")e(for)g(a)g(User)g(Pro)s(duct)f
4101
(means)g(an)m(y)i(metho)s(ds,)e(pro)s(cedures,)g(autho-)330
4102
408 y(rization)d(k)m(eys,)g(or)f(other)f(information)h(required)f(to)h
4103
(install)g(and)f(execute)i(mo)s(di\014ed)d(v)m(ersions)i(of)g(a)330
4104
518 y(co)m(v)m(ered)h(w)m(ork)e(in)g(that)h(User)f(Pro)s(duct)f(from)h
4105
(a)h(mo)s(di\014ed)e(v)m(ersion)h(of)h(its)f(Corresp)s(onding)f
4106
(Source.)330 628 y(The)30 b(information)h(m)m(ust)f(su\016ce)g(to)i
4107
(ensure)d(that)i(the)g(con)m(tin)m(ued)g(functioning)g(of)f(the)h(mo)s
4108
(di\014ed)330 737 y(ob)5 b(ject)34 b(co)s(de)f(is)g(in)f(no)h(case)h
4109
(prev)m(en)m(ted)f(or)g(in)m(terfered)g(with)g(solely)h(b)s(ecause)f
4110
(mo)s(di\014cation)g(has)330 847 y(b)s(een)d(made.)330
4111
981 y(If)38 b(y)m(ou)i(con)m(v)m(ey)g(an)f(ob)5 b(ject)40
4112
b(co)s(de)f(w)m(ork)g(under)e(this)i(section)h(in,)h(or)e(with,)i(or)e
4113
(sp)s(eci\014cally)g(for)330 1090 y(use)g(in,)i(a)e(User)g(Pro)s(duct,)
4114
i(and)e(the)g(con)m(v)m(eying)i(o)s(ccurs)d(as)i(part)f(of)g(a)g
4115
(transaction)h(in)f(whic)m(h)330 1200 y(the)d(righ)m(t)g(of)g(p)s
4116
(ossession)f(and)g(use)h(of)f(the)h(User)g(Pro)s(duct)f(is)g
4117
(transferred)g(to)i(the)e(recipien)m(t)i(in)330 1310
4118
y(p)s(erp)s(etuit)m(y)43 b(or)g(for)g(a)h(\014xed)e(term)i
4119
(\(regardless)g(of)f(ho)m(w)h(the)f(transaction)i(is)e(c)m
4120
(haracterized\),)330 1419 y(the)c(Corresp)s(onding)e(Source)i(con)m(v)m
4121
(ey)m(ed)i(under)c(this)i(section)h(m)m(ust)f(b)s(e)f(accompanied)i(b)m
4122
(y)f(the)330 1529 y(Installation)d(Information.)52 b(But)35
4123
b(this)f(requiremen)m(t)g(do)s(es)g(not)h(apply)f(if)g(neither)g(y)m
4124
(ou)h(nor)f(an)m(y)330 1638 y(third)28 b(part)m(y)i(retains)f(the)g
4125
(abilit)m(y)i(to)e(install)h(mo)s(di\014ed)e(ob)5 b(ject)30
4126
b(co)s(de)f(on)g(the)h(User)f(Pro)s(duct)f(\(for)330
4127
1748 y(example,)j(the)g(w)m(ork)f(has)g(b)s(een)g(installed)h(in)f(R)m
4128
(OM\).)330 1882 y(The)38 b(requiremen)m(t)g(to)h(pro)m(vide)g
4129
(Installation)g(Information)g(do)s(es)f(not)g(include)g(a)h(requiremen)
4130
m(t)330 1991 y(to)32 b(con)m(tin)m(ue)h(to)f(pro)m(vide)g(supp)s(ort)e
4131
(service,)j(w)m(arran)m(t)m(y)-8 b(,)33 b(or)f(up)s(dates)e(for)i(a)g
4132
(w)m(ork)f(that)h(has)g(b)s(een)330 2101 y(mo)s(di\014ed)37
4133
b(or)h(installed)h(b)m(y)g(the)f(recipien)m(t,)k(or)c(for)g(the)g(User)
4134
h(Pro)s(duct)e(in)h(whic)m(h)g(it)h(has)f(b)s(een)330
4135
2211 y(mo)s(di\014ed)29 b(or)h(installed.)42 b(Access)31
4136
b(to)g(a)g(net)m(w)m(ork)g(ma)m(y)g(b)s(e)e(denied)h(when)f(the)i(mo)s
4137
(di\014cation)f(itself)330 2320 y(materially)i(and)e(adv)m(ersely)h
4138
(a\013ects)h(the)e(op)s(eration)h(of)g(the)f(net)m(w)m(ork)h(or)g
4139
(violates)h(the)f(rules)f(and)330 2430 y(proto)s(cols)h(for)f(comm)m
4140
(unication)i(across)f(the)g(net)m(w)m(ork.)330 2564 y(Corresp)s(onding)
4141
26 b(Source)h(con)m(v)m(ey)m(ed,)j(and)d(Installation)i(Information)f
4142
(pro)m(vided,)g(in)f(accord)h(with)330 2673 y(this)d(section)i(m)m(ust)
4143
e(b)s(e)g(in)g(a)h(format)g(that)f(is)h(publicly)f(do)s(cumen)m(ted)g
4144
(\(and)g(with)g(an)h(implemen)m(ta-)330 2783 y(tion)i(a)m(v)-5
4145
b(ailable)29 b(to)f(the)g(public)e(in)h(source)h(co)s(de)f(form\),)h
4146
(and)f(m)m(ust)g(require)g(no)g(sp)s(ecial)h(passw)m(ord)330
4147
2892 y(or)i(k)m(ey)i(for)e(unpac)m(king,)g(reading)h(or)f(cop)m(ying.)
4148
199 3026 y(7.)61 b(Additional)31 b(T)-8 b(erms.)330 3160
4149
y(\\Additional)29 b(p)s(ermissions")e(are)h(terms)f(that)h(supplemen)m
4150
(t)f(the)h(terms)g(of)f(this)h(License)g(b)m(y)g(mak-)330
4151
3270 y(ing)41 b(exceptions)h(from)e(one)h(or)g(more)g(of)g(its)g
4152
(conditions.)72 b(Additional)42 b(p)s(ermissions)d(that)j(are)330
4153
3380 y(applicable)31 b(to)f(the)g(en)m(tire)h(Program)f(shall)g(b)s(e)f
4154
(treated)i(as)f(though)f(they)h(w)m(ere)h(included)e(in)g(this)330
4155
3489 y(License,)36 b(to)e(the)g(exten)m(t)i(that)e(they)g(are)g(v)-5
4156
b(alid)34 b(under)f(applicable)i(la)m(w.)52 b(If)33 b(additional)i(p)s
4157
(ermis-)330 3599 y(sions)27 b(apply)h(only)f(to)h(part)g(of)f(the)h
4158
(Program,)h(that)f(part)f(ma)m(y)h(b)s(e)f(used)g(separately)h(under)e
4159
(those)330 3708 y(p)s(ermissions,)31 b(but)g(the)h(en)m(tire)h(Program)
4160
f(remains)f(go)m(v)m(erned)i(b)m(y)f(this)g(License)g(without)g(regard)
4161
330 3818 y(to)f(the)g(additional)g(p)s(ermissions.)330
4162
3952 y(When)45 b(y)m(ou)g(con)m(v)m(ey)i(a)e(cop)m(y)h(of)f(a)g(co)m(v)
4163
m(ered)i(w)m(ork,)h(y)m(ou)e(ma)m(y)f(at)h(y)m(our)f(option)g(remo)m(v)
4164
m(e)i(an)m(y)330 4061 y(additional)30 b(p)s(ermissions)e(from)h(that)h
4165
(cop)m(y)-8 b(,)31 b(or)f(from)e(an)m(y)i(part)f(of)h(it.)41
4166
b(\(Additional)30 b(p)s(ermissions)330 4171 y(ma)m(y)41
4167
b(b)s(e)f(written)g(to)h(require)f(their)h(o)m(wn)f(remo)m(v)-5
4168
b(al)42 b(in)e(certain)h(cases)g(when)f(y)m(ou)g(mo)s(dify)g(the)330
4169
4281 y(w)m(ork.\))48 b(Y)-8 b(ou)33 b(ma)m(y)g(place)h(additional)f(p)s
4170
(ermissions)e(on)i(material,)i(added)d(b)m(y)g(y)m(ou)h(to)g(a)g(co)m
4171
(v)m(ered)330 4390 y(w)m(ork,)e(for)f(whic)m(h)g(y)m(ou)h(ha)m(v)m(e)g
4172
(or)g(can)f(giv)m(e)i(appropriate)f(cop)m(yrigh)m(t)g(p)s(ermission.)
4173
330 4524 y(Not)m(withstanding)e(an)m(y)g(other)g(pro)m(vision)f(of)h
4174
(this)f(License,)h(for)f(material)i(y)m(ou)f(add)f(to)h(a)f(co)m(v)m
4175
(ered)330 4634 y(w)m(ork,)40 b(y)m(ou)e(ma)m(y)g(\(if)g(authorized)g(b)
4176
m(y)g(the)g(cop)m(yrigh)m(t)h(holders)e(of)h(that)g(material\))h
4177
(supplemen)m(t)330 4743 y(the)31 b(terms)f(of)g(this)h(License)g(with)f
4178
(terms:)379 4877 y(a.)61 b(Disclaiming)31 b(w)m(arran)m(t)m(y)f(or)g
4179
(limiting)g(liabilit)m(y)h(di\013eren)m(tly)f(from)f(the)g(terms)g(of)h
4180
(sections)g(15)510 4987 y(and)g(16)h(of)g(this)f(License;)h(or)374
4181
5121 y(b.)60 b(Requiring)30 b(preserv)-5 b(ation)31 b(of)g(sp)s
4182
(eci\014ed)f(reasonable)h(legal)i(notices)f(or)e(author)h(attributions)
4183
510 5230 y(in)24 b(that)i(material)g(or)f(in)f(the)h(Appropriate)g
4184
(Legal)h(Notices)h(displa)m(y)m(ed)e(b)m(y)g(w)m(orks)f(con)m(taining)
4185
510 5340 y(it;)31 b(or)p eop end
4187
TeXDict begin 8 11 bop 150 -116 a Fp(Chapter)30 b(1:)41
4188
b(GNU)31 b(GENERAL)f(PUBLIC)g(LICENSE)1588 b(8)384 299
4189
y(c.)61 b(Prohibiting)23 b(misrepresen)m(tation)i(of)e(the)h(origin)g
4190
(of)f(that)i(material,)h(or)d(requiring)g(that)h(mo)s(d-)510
4191
408 y(i\014ed)30 b(v)m(ersions)h(of)f(suc)m(h)g(material)i(b)s(e)e
4192
(mark)m(ed)h(in)f(reasonable)h(w)m(a)m(ys)g(as)g(di\013eren)m(t)g(from)
4193
f(the)510 518 y(original)i(v)m(ersion;)f(or)374 664 y(d.)60
4194
b(Limiting)42 b(the)f(use)g(for)g(publicit)m(y)h(purp)s(oses)d(of)i
4195
(names)g(of)h(licensors)f(or)h(authors)e(of)i(the)510
4196
774 y(material;)32 b(or)384 920 y(e.)61 b(Declining)29
4197
b(to)f(gran)m(t)g(righ)m(ts)f(under)f(trademark)h(la)m(w)h(for)f(use)g
4198
(of)g(some)h(trade)f(names,)h(trade-)510 1029 y(marks,)i(or)h(service)g
4199
(marks;)f(or)397 1176 y(f.)60 b(Requiring)26 b(indemni\014cation)g(of)g
4200
(licensors)h(and)f(authors)f(of)i(that)f(material)i(b)m(y)e(an)m(y)m
4201
(one)h(who)510 1285 y(con)m(v)m(eys)45 b(the)e(material)h(\(or)g(mo)s
4202
(di\014ed)e(v)m(ersions)h(of)h(it\))g(with)e(con)m(tractual)k
4203
(assumptions)510 1395 y(of)40 b(liabilit)m(y)h(to)f(the)f(recipien)m
4204
(t,)k(for)c(an)m(y)h(liabilit)m(y)h(that)f(these)g(con)m(tractual)i
4205
(assumptions)510 1504 y(directly)31 b(imp)s(ose)f(on)g(those)h
4206
(licensors)g(and)f(authors.)330 1687 y(All)i(other)h(non-p)s(ermissiv)m
4207
(e)e(additional)i(terms)e(are)i(considered)e(\\further)g(restrictions")
4208
i(within)330 1797 y(the)j(meaning)f(of)h(section)g(10.)57
4209
b(If)35 b(the)h(Program)f(as)h(y)m(ou)g(receiv)m(ed)g(it,)i(or)d(an)m
4210
(y)h(part)f(of)h(it,)h(con-)330 1906 y(tains)f(a)g(notice)h(stating)g
4211
(that)f(it)g(is)g(go)m(v)m(erned)h(b)m(y)e(this)h(License)g(along)h
4212
(with)e(a)h(term)g(that)g(is)g(a)330 2016 y(further)24
4213
b(restriction,)k(y)m(ou)e(ma)m(y)g(remo)m(v)m(e)h(that)f(term.)39
4214
b(If)26 b(a)g(license)g(do)s(cumen)m(t)g(con)m(tains)g(a)g(further)330
4215
2125 y(restriction)33 b(but)f(p)s(ermits)g(relicensing)h(or)g(con)m(v)m
4216
(eying)h(under)d(this)i(License,)g(y)m(ou)g(ma)m(y)g(add)f(to)i(a)330
4217
2235 y(co)m(v)m(ered)g(w)m(ork)e(material)h(go)m(v)m(erned)h(b)m(y)e
4218
(the)g(terms)g(of)g(that)h(license)g(do)s(cumen)m(t,)g(pro)m(vided)e
4219
(that)330 2345 y(the)g(further)e(restriction)i(do)s(es)f(not)h(surviv)m
4220
(e)f(suc)m(h)g(relicensing)h(or)g(con)m(v)m(eying.)330
4221
2491 y(If)f(y)m(ou)g(add)g(terms)g(to)h(a)g(co)m(v)m(ered)h(w)m(ork)e
4222
(in)g(accord)h(with)f(this)g(section,)i(y)m(ou)e(m)m(ust)g(place,)i(in)
4223
e(the)330 2600 y(relev)-5 b(an)m(t)31 b(source)f(\014les,)g(a)g
4224
(statemen)m(t)h(of)f(the)g(additional)g(terms)g(that)g(apply)f(to)i
4225
(those)f(\014les,)g(or)g(a)330 2710 y(notice)i(indicating)f(where)f(to)
4226
h(\014nd)e(the)h(applicable)i(terms.)330 2856 y(Additional)37
4227
b(terms,)h(p)s(ermissiv)m(e)e(or)h(non-p)s(ermissiv)m(e,)h(ma)m(y)f(b)s
4228
(e)e(stated)j(in)e(the)h(form)f(of)g(a)h(sep-)330 2966
4229
y(arately)i(written)f(license,)i(or)e(stated)h(as)e(exceptions;)43
4230
b(the)38 b(ab)s(o)m(v)m(e)h(requiremen)m(ts)e(apply)g(either)330
4231
3075 y(w)m(a)m(y)-8 b(.)199 3221 y(8.)61 b(T)-8 b(ermination.)330
4232
3367 y(Y)g(ou)40 b(ma)m(y)g(not)f(propagate)i(or)e(mo)s(dify)g(a)g(co)m
4233
(v)m(ered)i(w)m(ork)f(except)g(as)g(expressly)f(pro)m(vided)g(un-)330
4234
3477 y(der)d(this)h(License.)62 b(An)m(y)37 b(attempt)h(otherwise)f(to)
4235
h(propagate)g(or)f(mo)s(dify)f(it)i(is)f(v)m(oid,)i(and)e(will)330
4236
3587 y(automatically)g(terminate)d(y)m(our)g(righ)m(ts)g(under)f(this)g
4237
(License)i(\(including)e(an)m(y)h(paten)m(t)h(licenses)330
4238
3696 y(gran)m(ted)c(under)e(the)h(third)g(paragraph)g(of)g(section)i
4239
(11\).)330 3842 y(Ho)m(w)m(ev)m(er,)j(if)e(y)m(ou)f(cease)i(all)f
4240
(violation)i(of)d(this)g(License,)i(then)e(y)m(our)h(license)g(from)f
4241
(a)h(particular)330 3952 y(cop)m(yrigh)m(t)k(holder)e(is)h(reinstated)h
4242
(\(a\))f(pro)m(visionally)-8 b(,)39 b(unless)c(and)g(un)m(til)h(the)g
4243
(cop)m(yrigh)m(t)h(holder)330 4061 y(explicitly)42 b(and)e(\014nally)h
4244
(terminates)g(y)m(our)g(license,)j(and)c(\(b\))h(p)s(ermanen)m(tly)-8
4245
b(,)43 b(if)e(the)g(cop)m(yrigh)m(t)330 4171 y(holder)34
4246
b(fails)h(to)g(notify)g(y)m(ou)g(of)f(the)h(violation)h(b)m(y)e(some)h
4247
(reasonable)g(means)g(prior)e(to)i(60)h(da)m(ys)330 4281
4248
y(after)31 b(the)f(cessation.)330 4427 y(Moreo)m(v)m(er,)k(y)m(our)d
4249
(license)i(from)e(a)h(particular)f(cop)m(yrigh)m(t)i(holder)e(is)h
4250
(reinstated)g(p)s(ermanen)m(tly)f(if)330 4536 y(the)d(cop)m(yrigh)m(t)h
4251
(holder)f(noti\014es)g(y)m(ou)g(of)g(the)g(violation)h(b)m(y)f(some)g
4252
(reasonable)h(means,)f(this)g(is)g(the)330 4646 y(\014rst)f(time)i(y)m
4253
(ou)f(ha)m(v)m(e)h(receiv)m(ed)g(notice)g(of)f(violation)i(of)e(this)f
4254
(License)i(\(for)f(an)m(y)g(w)m(ork\))g(from)f(that)330
4255
4755 y(cop)m(yrigh)m(t)33 b(holder,)g(and)e(y)m(ou)h(cure)g(the)g
4256
(violation)i(prior)d(to)i(30)f(da)m(ys)h(after)f(y)m(our)g(receipt)h
4257
(of)f(the)330 4865 y(notice.)330 5011 y(T)-8 b(ermination)28
4258
b(of)g(y)m(our)f(righ)m(ts)h(under)e(this)i(section)g(do)s(es)f(not)h
4259
(terminate)h(the)e(licenses)i(of)f(parties)330 5121 y(who)38
4260
b(ha)m(v)m(e)h(receiv)m(ed)h(copies)e(or)h(righ)m(ts)f(from)g(y)m(ou)g
4261
(under)f(this)h(License.)64 b(If)38 b(y)m(our)g(righ)m(ts)h(ha)m(v)m(e)
4262
330 5230 y(b)s(een)f(terminated)h(and)e(not)i(p)s(ermanen)m(tly)f
4263
(reinstated,)j(y)m(ou)e(do)f(not)h(qualify)f(to)h(receiv)m(e)h(new)330
4264
5340 y(licenses)31 b(for)f(the)h(same)g(material)h(under)c(section)k
4267
TeXDict begin 9 12 bop 150 -116 a Fp(Chapter)30 b(1:)41
4268
b(GNU)31 b(GENERAL)f(PUBLIC)g(LICENSE)1588 b(9)199 299
4269
y(9.)61 b(Acceptance)32 b(Not)g(Required)d(for)i(Ha)m(ving)g(Copies.)
4270
330 430 y(Y)-8 b(ou)38 b(are)g(not)g(required)f(to)h(accept)h(this)f
4271
(License)g(in)f(order)g(to)h(receiv)m(e)i(or)e(run)e(a)i(cop)m(y)g(of)g
4272
(the)330 540 y(Program.)i(Ancillary)27 b(propagation)g(of)g(a)g(co)m(v)
4273
m(ered)h(w)m(ork)e(o)s(ccurring)g(solely)i(as)f(a)g(consequence)g(of)
4274
330 650 y(using)i(p)s(eer-to-p)s(eer)g(transmission)g(to)h(receiv)m(e)h
4275
(a)e(cop)m(y)h(lik)m(ewise)h(do)s(es)d(not)i(require)e(acceptance.)330
4276
759 y(Ho)m(w)m(ev)m(er,)g(nothing)c(other)g(than)g(this)f(License)i
4277
(gran)m(ts)g(y)m(ou)f(p)s(ermission)f(to)i(propagate)g(or)f(mo)s(dify)
4278
330 869 y(an)m(y)34 b(co)m(v)m(ered)g(w)m(ork.)50 b(These)32
4279
b(actions)j(infringe)e(cop)m(yrigh)m(t)h(if)f(y)m(ou)h(do)f(not)g
4280
(accept)i(this)e(License.)330 978 y(Therefore,)f(b)m(y)f(mo)s(difying)g
4281
(or)g(propagating)h(a)g(co)m(v)m(ered)h(w)m(ork,)f(y)m(ou)g(indicate)g
4282
(y)m(our)g(acceptance)330 1088 y(of)f(this)f(License)h(to)g(do)f(so.)
4283
154 1219 y(10.)61 b(Automatic)32 b(Licensing)f(of)f(Do)m(wnstream)i
4284
(Recipien)m(ts.)330 1351 y(Eac)m(h)39 b(time)g(y)m(ou)g(con)m(v)m(ey)h
4285
(a)f(co)m(v)m(ered)h(w)m(ork,)h(the)d(recipien)m(t)i(automatically)h
4286
(receiv)m(es)f(a)f(license)330 1461 y(from)e(the)h(original)h
4287
(licensors,)h(to)f(run,)f(mo)s(dify)f(and)g(propagate)i(that)f(w)m
4288
(ork,)i(sub)5 b(ject)38 b(to)g(this)330 1570 y(License.)60
4289
b(Y)-8 b(ou)38 b(are)f(not)g(resp)s(onsible)e(for)i(enforcing)g
4290
(compliance)h(b)m(y)f(third)f(parties)h(with)f(this)330
4291
1680 y(License.)330 1811 y(An)43 b(\\en)m(tit)m(y)i(transaction")g(is)f
4292
(a)f(transaction)i(transferring)e(con)m(trol)h(of)g(an)f(organization,)
4293
49 b(or)330 1921 y(substan)m(tially)24 b(all)f(assets)g(of)g(one,)i(or)
4294
e(sub)s(dividing)d(an)j(organization,)j(or)d(merging)g(organizations.)
4295
330 2030 y(If)28 b(propagation)i(of)f(a)h(co)m(v)m(ered)g(w)m(ork)f
4296
(results)g(from)f(an)h(en)m(tit)m(y)i(transaction,)f(eac)m(h)g(part)m
4297
(y)g(to)f(that)330 2140 y(transaction)g(who)d(receiv)m(es)k(a)d(cop)m
4298
(y)i(of)e(the)h(w)m(ork)f(also)i(receiv)m(es)g(whatev)m(er)f(licenses)g
4299
(to)g(the)g(w)m(ork)330 2250 y(the)d(part)m(y's)g(predecessor)g(in)g
4300
(in)m(terest)h(had)e(or)h(could)g(giv)m(e)h(under)e(the)h(previous)f
4301
(paragraph,)i(plus)330 2359 y(a)31 b(righ)m(t)g(to)h(p)s(ossession)e
4302
(of)h(the)g(Corresp)s(onding)e(Source)i(of)g(the)f(w)m(ork)h(from)g
4303
(the)g(predecessor)f(in)330 2469 y(in)m(terest,)i(if)e(the)h
4304
(predecessor)f(has)g(it)h(or)f(can)h(get)h(it)e(with)h(reasonable)g
4305
(e\013orts.)330 2600 y(Y)-8 b(ou)36 b(ma)m(y)g(not)g(imp)s(ose)f(an)m
4306
(y)h(further)e(restrictions)j(on)e(the)h(exercise)g(of)g(the)g(righ)m
4307
(ts)g(gran)m(ted)g(or)330 2710 y(a\016rmed)27 b(under)f(this)h
4308
(License.)40 b(F)-8 b(or)28 b(example,)h(y)m(ou)f(ma)m(y)g(not)g(imp)s
4309
(ose)f(a)h(license)g(fee,)h(ro)m(y)m(alt)m(y)-8 b(,)31
4310
b(or)330 2819 y(other)d(c)m(harge)g(for)g(exercise)h(of)e(righ)m(ts)h
4311
(gran)m(ted)g(under)e(this)i(License,)h(and)d(y)m(ou)i(ma)m(y)g(not)g
4312
(initiate)330 2929 y(litigation)f(\(including)d(a)g(cross-claim)i(or)e
4313
(coun)m(terclaim)i(in)e(a)g(la)m(wsuit\))i(alleging)g(that)e(an)m(y)h
4314
(paten)m(t)330 3039 y(claim)j(is)g(infringed)e(b)m(y)i(making,)g
4315
(using,)g(selling,)h(o\013ering)f(for)f(sale,)i(or)e(imp)s(orting)g
4316
(the)h(Program)330 3148 y(or)i(an)m(y)h(p)s(ortion)f(of)h(it.)154
4317
3280 y(11.)61 b(P)m(aten)m(ts.)330 3411 y(A)41 b(\\con)m(tributor")h
4318
(is)f(a)g(cop)m(yrigh)m(t)i(holder)d(who)h(authorizes)g(use)g(under)e
4319
(this)i(License)h(of)f(the)330 3521 y(Program)35 b(or)f(a)h(w)m(ork)g
4320
(on)f(whic)m(h)g(the)h(Program)f(is)h(based.)53 b(The)34
4321
b(w)m(ork)g(th)m(us)g(licensed)h(is)g(called)330 3630
4322
y(the)c(con)m(tributor's)f(\\con)m(tributor)i(v)m(ersion".)330
4323
3762 y(A)g(con)m(tributor's)g(\\essen)m(tial)i(paten)m(t)e(claims")h
4324
(are)f(all)h(paten)m(t)f(claims)h(o)m(wned)e(or)h(con)m(trolled)h(b)m
4325
(y)330 3871 y(the)21 b(con)m(tributor,)j(whether)d(already)g(acquired)g
4326
(or)h(hereafter)f(acquired,)j(that)d(w)m(ould)g(b)s(e)g(infringed)330
4327
3981 y(b)m(y)27 b(some)h(manner,)g(p)s(ermitted)f(b)m(y)g(this)h
4328
(License,)h(of)e(making,)i(using,)f(or)f(selling)i(its)f(con)m
4329
(tributor)330 4091 y(v)m(ersion,)40 b(but)c(do)i(not)f(include)g
4330
(claims)i(that)f(w)m(ould)f(b)s(e)f(infringed)h(only)g(as)h(a)g
4331
(consequence)g(of)330 4200 y(further)33 b(mo)s(di\014cation)h(of)g(the)
4332
g(con)m(tributor)g(v)m(ersion.)52 b(F)-8 b(or)34 b(purp)s(oses)e(of)i
4333
(this)g(de\014nition,)h(\\con-)330 4310 y(trol")40 b(includes)f(the)g
4334
(righ)m(t)h(to)f(gran)m(t)h(paten)m(t)g(sublicenses)f(in)g(a)g(manner)g
4335
(consisten)m(t)h(with)f(the)330 4419 y(requiremen)m(ts)30
4336
b(of)h(this)f(License.)330 4551 y(Eac)m(h)44 b(con)m(tributor)h(gran)m
4337
(ts)f(y)m(ou)g(a)h(non-exclusiv)m(e,)j(w)m(orldwide,)f(ro)m(y)m(alt)m
4338
(y-free)g(paten)m(t)e(license)330 4661 y(under)26 b(the)h(con)m
4339
(tributor's)g(essen)m(tial)i(paten)m(t)f(claims,)h(to)f(mak)m(e,)h
4340
(use,)f(sell,)g(o\013er)g(for)f(sale,)i(imp)s(ort)330
4341
4770 y(and)h(otherwise)h(run,)e(mo)s(dify)g(and)h(propagate)i(the)e
4342
(con)m(ten)m(ts)i(of)f(its)g(con)m(tributor)f(v)m(ersion.)330
4343
4902 y(In)e(the)h(follo)m(wing)h(three)e(paragraphs,)h(a)g(\\paten)m(t)
4344
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4345
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4428
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Fd(a)12 b Ff(\))390 1801 y Fp(Create)29 b(a)g(cop)m(y)h(of)f(the)f
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4632
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4640
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Fe(v)m(oid)p Ff(\))32 b Fe(const)2805 2171 y Fp([Metho)s(d)f(on)f
4723
Fm(Array2<T>)p Fp(])-3602 b Fg(int)53 b(columns)48 b
4724
Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)2805 2338 y
4725
Fp([Metho)s(d)g(on)f Fm(Array2<T>)p Fp(])-3602 b Fg(T&)53
4726
b(elem)47 b Ff(\()p Fe(in)m(t)31 b Fd(i)p Fe(,)g(in)m(t)g
4727
Fd(j)12 b Ff(\))2805 2447 y Fp([Metho)s(d)31 b(on)f Fm(Array2<T>)p
4728
Fp(])-3602 b Fg(T&)53 b(checkelem)48 b Ff(\()p Fe(in)m(t)31
4729
b Fd(i)p Fe(,)g(in)m(t)g Fd(j)12 b Ff(\))2770 2614 y
4730
Fp([Indexing)30 b(on)g Fm(Array2<T>)p Fp(])-3602 b Fg(T&)53
4731
b(operator)i(\(\))46 b Ff(\()p Fe(in)m(t)31 b Fd(i)p
4732
Fe(,)g(in)m(t)g Fd(j)12 b Ff(\))2805 2780 y Fp([Metho)s(d)31
4733
b(on)f Fm(Array2<T>)p Fp(])-3602 b Fg(void)54 b(resize)47
4734
b Ff(\()p Fe(in)m(t)31 b Fd(n)p Fe(,)g(in)m(t)g Fd(m)12
4735
b Ff(\))2805 2890 y Fp([Metho)s(d)31 b(on)f Fm(Array2<T>)p
4736
Fp(])-3602 b Fg(void)54 b(resize)47 b Ff(\()p Fe(in)m(t)31
4737
b Fd(n)p Fe(,)g(in)m(t)g Fd(m)p Fe(,)g(const)g(T)e(&)p
4738
Fd(val)12 b Ff(\))3224 3056 y Fp([Constructor])-3600
4739
b Fg(Array3<T>)48 b Ff(\()p Fe(v)m(oid)p Ff(\))3224 3166
4740
y Fp([Constructor])-3600 b Fg(Array3<T>)48 b Ff(\()p
4741
Fe(in)m(t)31 b Fd(n)p Fe(,)g(in)m(t)g Fd(m)p Fe(,)g(in)m(t)g
4742
Fd(k)12 b Ff(\))3224 3276 y Fp([Constructor])-3600 b
4743
Fg(Array3<T>)48 b Ff(\()p Fe(in)m(t)31 b Fd(n)p Fe(,)g(in)m(t)g
4744
Fd(m)p Fe(,)g(in)m(t)g Fd(k)p Fe(,)g(const)g(T)f(&)p
4745
Fd(val)12 b Ff(\))3224 3385 y Fp([Constructor])-3600
4746
b Fg(Array3<T>)48 b Ff(\()p Fe(const)31 b(Arra)m(y3)p
4747
Fg(<)p Fe(T)p Fg(>)h Fe(&)p Fd(a)12 b Ff(\))2653 3552
4748
y Fp([Assignmen)m(t)31 b(on)f Fm(Array3<T>)p Fp(])-3602
4749
b Fg(Array3<T>&)55 b(operator)g(=)46 b Ff(\()p Fe(const)31
4750
b(Arra)m(y3)p Fg(<)p Fe(T)p Fg(>)g Fe(&)p Fd(a)12 b Ff(\))2805
4751
3718 y Fp([Metho)s(d)31 b(on)f Fm(Array3<T>)p Fp(])-3602
4752
b Fg(int)53 b(dim1)47 b Ff(\()p Fe(v)m(oid)p Ff(\))32
4753
b Fe(const)2805 3828 y Fp([Metho)s(d)f(on)f Fm(Array3<T>)p
4754
Fp(])-3602 b Fg(int)53 b(dim2)47 b Ff(\()p Fe(v)m(oid)p
4755
Ff(\))32 b Fe(const)2805 3937 y Fp([Metho)s(d)f(on)f
4756
Fm(Array3<T>)p Fp(])-3602 b Fg(int)53 b(dim3)47 b Ff(\()p
4757
Fe(v)m(oid)p Ff(\))32 b Fe(const)2805 4104 y Fp([Metho)s(d)f(on)f
4758
Fm(Array3<T>)p Fp(])-3602 b Fg(T&)53 b(elem)47 b Ff(\()p
4759
Fe(in)m(t)31 b Fd(i)p Fe(,)g(in)m(t)g Fd(j)p Fe(,)f(in)m(t)h
4760
Fd(k)12 b Ff(\))2805 4214 y Fp([Metho)s(d)31 b(on)f Fm(Array3<T>)p
4761
Fp(])-3602 b Fg(T&)53 b(checkelem)48 b Ff(\()p Fe(in)m(t)31
4762
b Fd(i)p Fe(,)g(in)m(t)g Fd(j)p Fe(,)g(in)m(t)g Fd(k)12
4763
b Ff(\))2770 4380 y Fp([Indexing)30 b(on)g Fm(Array3<T>)p
4764
Fp(])-3602 b Fg(T&)53 b(operator)i(\(\))46 b Ff(\()p
4765
Fe(in)m(t)31 b Fd(i)p Fe(,)g(in)m(t)g Fd(j)p Fe(,)g(in)m(t)f
4766
Fd(k)12 b Ff(\))2805 4547 y Fp([Metho)s(d)31 b(on)f Fm(Array3<T>)p
4767
Fp(])-3602 b Fg(void)54 b(resize)47 b Ff(\()p Fe(in)m(t)31
4768
b Fd(n)p Fe(,)g(in)m(t)g Fd(m)p Fe(,)g(in)m(t)g Fd(k)12
4769
b Ff(\))2805 4656 y Fp([Metho)s(d)31 b(on)f Fm(Array3<T>)p
4770
Fp(])-3602 b Fg(void)54 b(resize)47 b Ff(\()p Fe(in)m(t)31
4771
b Fd(n)p Fe(,)g(in)m(t)g Fd(m)p Fe(,)g(in)m(t)g Fd(k)p
4772
Fe(,)f(const)h(T)f(&)p Fd(val)12 b Ff(\))3224 4823 y
4773
Fp([Constructor])-3600 b Fg(DiagArray<T>)49 b Ff(\()p
4774
Fe(v)m(oid)p Ff(\))3224 4932 y Fp([Constructor])-3600
4775
b Fg(DiagArray<T>)49 b Ff(\()p Fe(in)m(t)31 b Fd(n)12
4776
b Ff(\))3224 5042 y Fp([Constructor])-3600 b Fg(DiagArray<T>)49
4777
b Ff(\()p Fe(in)m(t)31 b Fd(n)p Fe(,)g(const)g(T)f(&)p
4778
Fd(val)12 b Ff(\))3224 5151 y Fp([Constructor])-3600
4779
b Fg(DiagArray<T>)49 b Ff(\()p Fe(in)m(t)31 b Fd(r)p
4780
Fe(,)g(in)m(t)g Fd(c)12 b Ff(\))3224 5261 y Fp([Constructor])-3600
4781
b Fg(DiagArray<T>)49 b Ff(\()p Fe(in)m(t)31 b Fd(r)p
4782
Fe(,)g(in)m(t)g Fd(c)p Fe(,)g(const)g(T)f(&)p Fd(val)12
4783
b Ff(\))3224 5371 y Fp([Constructor])-3600 b Fg(DiagArray<T>)49
4784
b Ff(\()p Fe(const)31 b(Arra)m(y)p Fg(<)p Fe(T)p Fg(>)g
4785
Fe(&)p Fd(a)12 b Ff(\))p eop end
4787
TeXDict begin 16 19 bop 150 -116 a Fp(Chapter)30 b(3:)41
4788
b(Arra)m(ys)2778 b(16)3224 299 y([Constructor])-3600
4789
b Fg(DiagArray<T>)49 b Ff(\()p Fe(const)31 b(DiagArra)m(y)p
4790
Fg(<)p Fe(T)p Fg(>)i Fe(&)p Fd(a)12 b Ff(\))2462 455
4791
y Fp([Assginmen)m(t)31 b(on)f Fm(DiagArray<T>&)p Fp(])-3603
4792
b Fg(operator)55 b(=)45 b Ff(\()p Fe(const)32 b(DiagArra)m(y)p
4793
Fg(<)p Fe(T)p Fg(>)g Fe(&)p Fd(a)12 b Ff(\))2662 611
4794
y Fp([Metho)s(d)31 b(on)f Fm(DiagArray<T>)p Fp(])-3603
4795
b Fg(int)53 b(dim1)47 b Ff(\()p Fe(v)m(oid)p Ff(\))32
4796
b Fe(const)2662 720 y Fp([Metho)s(d)f(on)f Fm(DiagArray<T>)p
4797
Fp(])-3603 b Fg(int)53 b(rows)47 b Ff(\()p Fe(v)m(oid)p
4798
Ff(\))32 b Fe(const)2662 876 y Fp([Metho)s(d)f(on)f Fm(DiagArray<T>)p
4799
Fp(])-3603 b Fg(int)53 b(dim2)47 b Ff(\()p Fe(v)m(oid)p
4800
Ff(\))32 b Fe(const)2662 986 y Fp([Metho)s(d)f(on)f Fm(DiagArray<T>)p
4801
Fp(])-3603 b Fg(int)53 b(cols)47 b Ff(\()p Fe(v)m(oid)p
4802
Ff(\))32 b Fe(const)2662 1095 y Fp([Metho)s(d)f(on)f
4803
Fm(DiagArray<T>)p Fp(])-3603 b Fg(int)53 b(columns)48
4804
b Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)2662 1251
4805
y Fp([Metho)s(d)g(on)f Fm(DiagArray<T>)p Fp(])-3603 b
4806
Fg(T&)53 b(elem)47 b Ff(\()p Fe(in)m(t)31 b Fd(r)p Fe(,)g(in)m(t)g
4807
Fd(c)12 b Ff(\))2662 1361 y Fp([Metho)s(d)31 b(on)f Fm(DiagArray<T>)p
4808
Fp(])-3603 b Fg(T&)53 b(checkelem)48 b Ff(\()p Fe(in)m(t)31
4809
b Fd(r)p Fe(,)g(in)m(t)g Fd(c)12 b Ff(\))2627 1516 y
4810
Fp([Indexing)30 b(on)g Fm(DiagArray<T>)p Fp(])-3603 b
4811
Fg(T&)53 b(operator)i(\(\))46 b Ff(\()p Fe(in)m(t)31
4812
b Fd(r)p Fe(,)g(in)m(t)g Fd(c)12 b Ff(\))2662 1672 y
4813
Fp([Metho)s(d)31 b(on)f Fm(DiagArray<T>)p Fp(])-3603
4814
b Fg(void)54 b(resize)47 b Ff(\()p Fe(in)m(t)31 b Fd(n)p
4815
Fe(,)g(in)m(t)g Fd(m)12 b Ff(\))2662 1782 y Fp([Metho)s(d)31
4816
b(on)f Fm(DiagArray<T>)p Fp(])-3603 b Fg(void)54 b(resize)47
4817
b Ff(\()p Fe(in)m(t)31 b Fd(n)p Fe(,)g(in)m(t)g Fd(m)p
4818
Fe(,)g(const)g(T)e(&)p Fd(val)12 b Ff(\))275 1892 y Fp(The)27
4819
b(real)i(and)f(complex)h Fm(ColumnVector)24 b Fp(and)k
4820
Fm(RowVector)e Fp(classes)j(all)g(ha)m(v)m(e)g(the)g(follo)m(wing)h
4821
(func-)150 2001 y(tions.)39 b(These)23 b(will)i(ev)m(en)m(tually)g(b)s
4822
(e)f(part)f(of)h(an)g Fm(MArray<T>)d Fp(class,)26 b(deriv)m(ed)e(from)f
4823
(the)h Fm(Array<T>)e Fp(class.)150 2111 y(Then)29 b(the)i
4824
Fm(ColumnVector)c Fp(and)j Fm(RowVector)e Fp(classes)j(will)g(b)s(e)e
4825
(deriv)m(ed)i(from)f(the)g Fm(MArray<T>)e Fp(class.)275
4826
2270 y(Elemen)m(t)j(b)m(y)f(elemen)m(t)i(v)m(ector)g(b)m(y)e(scalar)i
4827
(ops.)150 2476 y Fg(RowVector)55 b(operator)g(+)46 b
4828
Ff(\()p Fe(const)31 b(Ro)m(wV)-8 b(ector)32 b(&)p Fd(a)p
4829
Fe(,)f(const)g(double)f(&)p Fd(s)12 b Ff(\))150 2585
4830
y Fg(RowVector)55 b(operator)g(-)46 b Ff(\()p Fe(const)31
4831
b(Ro)m(wV)-8 b(ector)32 b(&)p Fd(a)p Fe(,)f(const)g(double)f(&)p
4832
Fd(s)12 b Ff(\))150 2695 y Fg(RowVector)55 b(operator)g(*)46
4833
b Ff(\()p Fe(const)31 b(Ro)m(wV)-8 b(ector)32 b(&)p Fd(a)p
4834
Fe(,)f(const)g(double)f(&)p Fd(s)12 b Ff(\))150 2805
4835
y Fg(RowVector)55 b(operator)g(/)46 b Ff(\()p Fe(const)31
4836
b(Ro)m(wV)-8 b(ector)32 b(&)p Fd(a)p Fe(,)f(const)g(double)f(&)p
4837
Fd(s)12 b Ff(\))275 2914 y Fp(Elemen)m(t)31 b(b)m(y)f(elemen)m(t)i
4838
(scalar)f(b)m(y)g(v)m(ector)h(ops.)150 3120 y Fg(RowVector)55
4839
b(operator)g(+)46 b Ff(\()p Fe(const)31 b(double)f(&)p
4840
Fd(s)p Fe(,)g(const)h(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)12
4841
b Ff(\))150 3229 y Fg(RowVector)55 b(operator)g(-)46
4842
b Ff(\()p Fe(const)31 b(double)f(&)p Fd(s)p Fe(,)g(const)h(Ro)m(wV)-8
4843
b(ector)33 b(&)p Fd(a)12 b Ff(\))150 3339 y Fg(RowVector)55
4844
b(operator)g(*)46 b Ff(\()p Fe(const)31 b(double)f(&)p
4845
Fd(s)p Fe(,)g(const)h(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)12
4846
b Ff(\))150 3449 y Fg(RowVector)55 b(operator)g(/)46
4847
b Ff(\()p Fe(const)31 b(double)f(&)p Fd(s)p Fe(,)g(const)h(Ro)m(wV)-8
4848
b(ector)33 b(&)p Fd(a)12 b Ff(\))275 3558 y Fp(Elemen)m(t)31
4849
b(b)m(y)f(elemen)m(t)i(v)m(ector)g(b)m(y)e(v)m(ector)i(ops.)150
4850
3764 y Fg(RowVector)55 b(operator)g(+)46 b Ff(\()p Fe(const)31
4851
b(Ro)m(wV)-8 b(ector)32 b(&)p Fd(a)p Fe(,)f(const)g(Ro)m(wV)-8
4852
b(ector)32 b(&)p Fd(b)12 b Ff(\))150 3873 y Fg(RowVector)55
4853
b(operator)g(-)46 b Ff(\()p Fe(const)31 b(Ro)m(wV)-8
4854
b(ector)32 b(&)p Fd(a)p Fe(,)f(const)g(Ro)m(wV)-8 b(ector)32
4855
b(&)p Fd(b)12 b Ff(\))150 4029 y Fg(RowVector)55 b(product)48
4856
b Ff(\()p Fe(const)31 b(Ro)m(wV)-8 b(ector)32 b(&)p Fd(a)p
4857
Fe(,)f(const)g(Ro)m(wV)-8 b(ector)33 b(&)p Fd(b)12 b
4858
Ff(\))150 4139 y Fg(RowVector)55 b(quotient)48 b Ff(\()p
4859
Fe(const)31 b(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)p Fe(,)d(const)h(Ro)m
4860
(wV)-8 b(ector)33 b(&)p Fd(b)12 b Ff(\))275 4248 y Fp(Unary)30
4861
b(MArra)m(y)h(ops.)150 4454 y Fg(RowVector)55 b(operator)g(-)46
4862
b Ff(\()p Fe(const)31 b(Ro)m(wV)-8 b(ector)32 b(&)p Fd(a)12
4863
b Ff(\))275 4564 y Fp(The)35 b Fm(Matrix)g Fp(classes)i(share)f(the)g
4864
(follo)m(wing)i(functions.)58 b(These)35 b(will)i(ev)m(en)m(tually)h(b)
4865
s(e)e(part)g(of)g(an)150 4673 y Fm(MArray2<T>)23 b Fp(class,)28
4866
b(deriv)m(ed)f(from)e(the)h Fm(Array2<T>)e Fp(class.)40
4867
b(Then)25 b(the)i Fm(Matrix)d Fp(class)j(will)f(b)s(e)g(deriv)m(ed)150
4868
4783 y(from)k(the)g Fm(MArray<T>)e Fp(class.)275 4942
4869
y(Elemen)m(t)j(b)m(y)f(elemen)m(t)i(matrix)f(b)m(y)f(scalar)h(ops.)150
4870
5148 y Fg(Matrix)54 b(operator)h(+)46 b Ff(\()p Fe(const)31
4871
b(Matrix)g(&)p Fd(a)p Fe(,)g(const)g(double)f(&)p Fd(s)12
4872
b Ff(\))150 5257 y Fg(Matrix)54 b(operator)h(-)46 b Ff(\()p
4873
Fe(const)31 b(Matrix)g(&)p Fd(a)p Fe(,)g(const)g(double)f(&)p
4874
Fd(s)12 b Ff(\))150 5367 y Fg(Matrix)54 b(operator)h(*)46
4875
b Ff(\()p Fe(const)31 b(Matrix)g(&)p Fd(a)p Fe(,)g(const)g(double)f(&)p
4876
Fd(s)12 b Ff(\))p eop end
4878
TeXDict begin 17 20 bop 150 -116 a Fp(Chapter)30 b(3:)41
4879
b(Arra)m(ys)2778 b(17)150 299 y Fg(Matrix)54 b(operator)h(/)46
4880
b Ff(\()p Fe(const)31 b(Matrix)g(&)p Fd(a)p Fe(,)g(const)g(double)f(&)p
4881
Fd(s)12 b Ff(\))275 408 y Fp(Elemen)m(t)31 b(b)m(y)f(elemen)m(t)i
4882
(scalar)f(b)m(y)g(matrix)f(ops.)150 618 y Fg(Matrix)54
4883
b(operator)h(+)46 b Ff(\()p Fe(const)31 b(double)f(&)p
4884
Fd(s)p Fe(,)g(const)h(Matrix)h(&)p Fd(a)12 b Ff(\))150
4885
727 y Fg(Matrix)54 b(operator)h(-)46 b Ff(\()p Fe(const)31
4886
b(double)f(&)p Fd(s)p Fe(,)g(const)h(Matrix)h(&)p Fd(a)12
4887
b Ff(\))150 837 y Fg(Matrix)54 b(operator)h(*)46 b Ff(\()p
4888
Fe(const)31 b(double)f(&)p Fd(s)p Fe(,)g(const)h(Matrix)h(&)p
4889
Fd(a)12 b Ff(\))150 946 y Fg(Matrix)54 b(operator)h(/)46
4890
b Ff(\()p Fe(const)31 b(double)f(&)p Fd(s)p Fe(,)g(const)h(Matrix)h(&)p
4891
Fd(a)12 b Ff(\))275 1056 y Fp(Elemen)m(t)31 b(b)m(y)f(elemen)m(t)i
4892
(matrix)f(b)m(y)f(matrix)h(ops.)150 1265 y Fg(Matrix)54
4893
b(operator)h(+)46 b Ff(\()p Fe(const)31 b(Matrix)g(&)p
4894
Fd(a)p Fe(,)g(const)g(Matrix)g(&)p Fd(b)12 b Ff(\))150
4895
1375 y Fg(Matrix)54 b(operator)h(-)46 b Ff(\()p Fe(const)31
4896
b(Matrix)g(&)p Fd(a)p Fe(,)g(const)g(Matrix)g(&)p Fd(b)12
4897
b Ff(\))150 1534 y Fg(Matrix)54 b(product)48 b Ff(\()p
4898
Fe(const)31 b(Matrix)g(&)p Fd(a)p Fe(,)g(const)g(Matrix)g(&)p
4899
Fd(b)12 b Ff(\))150 1644 y Fg(Matrix)54 b(quotient)48
4900
b Ff(\()p Fe(const)31 b(Matrix)h(&)p Fd(a)p Fe(,)e(const)h(Matrix)g(&)p
4901
Fd(b)12 b Ff(\))275 1753 y Fp(Unary)30 b(matrix)g(ops.)150
4902
1963 y Fg(Matrix)54 b(operator)h(-)46 b Ff(\()p Fe(const)31
4903
b(Matrix)g(&)p Fd(a)12 b Ff(\))275 2072 y Fp(The)31 b
4904
Fm(DiagMatrix)e Fp(classes)k(share)f(the)g(follo)m(wing)i(functions.)45
4905
b(These)31 b(will)i(ev)m(en)m(tually)h(b)s(e)d(part)h(of)150
4906
2182 y(an)26 b Fm(MDiagArray<T>)d Fp(class,)28 b(deriv)m(ed)e(from)g
4907
(the)h Fm(DiagArray<T>)c Fp(class.)40 b(Then)25 b(the)i
4908
Fm(DiagMatrix)c Fp(class)150 2291 y(will)31 b(b)s(e)e(deriv)m(ed)i
4909
(from)f(the)g Fm(MDiagArray<T>)d Fp(class.)275 2451 y(Elemen)m(t)k(b)m
4910
(y)f(elemen)m(t)i(MDiagArra)m(y)h(b)m(y)d(scalar)h(ops.)150
4911
2660 y Fg(DiagMatrix)55 b(operator)g(*)46 b Ff(\()p Fe(const)31
4912
b(DiagMatrix)i(&)p Fd(a)p Fe(,)e(const)f(double)g(&)p
4913
Fd(s)12 b Ff(\))150 2770 y Fg(DiagMatrix)55 b(operator)g(/)46
4914
b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p Fd(a)p Fe(,)e(const)f(double)g
4915
(&)p Fd(s)12 b Ff(\))275 2879 y Fp(Elemen)m(t)31 b(b)m(y)f(elemen)m(t)i
4916
(scalar)f(b)m(y)g(MDiagArra)m(y)h(ops.)150 3088 y Fg(DiagMatrix)55
4917
b(operator)g(*)46 b Ff(\()p Fe(const)31 b(double)f(&)p
4918
Fd(s)p Fe(,)h(const)f(DiagMatrix)j(&)p Fd(a)12 b Ff(\))275
4919
3198 y Fp(Elemen)m(t)31 b(b)m(y)f(elemen)m(t)i(MDiagArra)m(y)h(b)m(y)d
4920
(MDiagArra)m(y)i(ops.)150 3407 y Fg(DiagMatrix)55 b(operator)g(+)46
4921
b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p Fd(a)p Fe(,)e(const)f
4922
(DiagMatrix)j(&)p Fd(b)12 b Ff(\))150 3517 y Fg(DiagMatrix)55
4923
b(operator)g(-)46 b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p
4924
Fd(a)p Fe(,)e(const)f(DiagMatrix)j(&)p Fd(b)12 b Ff(\))150
4925
3676 y Fg(DiagMatrix)55 b(product)48 b Ff(\()p Fe(const)31
4926
b(DiagMatrix)i(&)p Fd(a)p Fe(,)e(const)f(DiagMatrix)j(&)p
4927
Fd(b)12 b Ff(\))275 3786 y Fp(Unary)30 b(MDiagArra)m(y)i(ops.)150
4928
3995 y Fg(DiagMatrix)55 b(operator)g(-)46 b Ff(\()p Fe(const)31
4929
b(DiagMatrix)i(&)p Fd(a)12 b Ff(\))p eop end
4931
TeXDict begin 18 21 bop 150 -116 a Fp(Chapter)30 b(4:)41
4932
b(Matrix)31 b(and)f(V)-8 b(ector)32 b(Op)s(erations)1838
4933
b(18)150 299 y Fl(4)80 b(Matrix)54 b(and)g(V)-13 b(ector)52
4934
b(Op)t(erations)150 590 y Fg(Matrix)47 b Ff(\()p Fe(v)m(oid)p
4935
Ff(\))150 699 y Fg(Matrix)g Ff(\()p Fe(in)m(t)32 b Fd(r)p
4936
Fe(,)e(in)m(t)h Fd(c)12 b Ff(\))150 809 y Fg(Matrix)47
4937
b Ff(\()p Fe(in)m(t)32 b Fd(r)p Fe(,)e(in)m(t)h Fd(c)p
4938
Fe(,)g(double)f Fd(val)12 b Ff(\))150 918 y Fg(Matrix)47
4939
b Ff(\()p Fe(const)32 b(Arra)m(y2)p Fg(<)p Fe(double)p
4940
Fg(>)f Fe(&)p Fd(a)12 b Ff(\))150 1028 y Fg(Matrix)47
4941
b Ff(\()p Fe(const)32 b(Matrix)f(&)p Fd(a)12 b Ff(\))150
4942
1138 y Fg(Matrix)47 b Ff(\()p Fe(const)32 b(DiagArra)m(y)p
4943
Fg(<)p Fe(double)p Fg(>)g Fe(&)p Fd(a)12 b Ff(\))150
4944
1247 y Fg(Matrix)47 b Ff(\()p Fe(const)32 b(DiagMatrix)g(&)p
4945
Fd(a)12 b Ff(\))150 1401 y Fg(Matrix&)54 b(operator)h(=)46
4946
b Ff(\()p Fe(const)31 b(Matrix)g(&)p Fd(a)12 b Ff(\))150
4947
1554 y Fg(int)53 b(operator)i(==)46 b Ff(\()p Fe(const)31
4948
b(Matrix)h(&)p Fd(a)12 b Ff(\))30 b Fe(const)150 1664
4949
y Fg(int)53 b(operator)i(!=)46 b Ff(\()p Fe(const)31
4950
b(Matrix)h(&)p Fd(a)12 b Ff(\))30 b Fe(const)150 1817
4951
y Fg(Matrix&)54 b(insert)48 b Ff(\()p Fe(const)31 b(Matrix)g(&)p
4952
Fd(a)p Fe(,)g(in)m(t)g Fd(r)p Fe(,)g(in)m(t)f Fd(c)12
4953
b Ff(\))150 1926 y Fg(Matrix&)54 b(insert)48 b Ff(\()p
4954
Fe(const)31 b(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)p Fe(,)d(in)m(t)h
4955
Fd(r)p Fe(,)g(in)m(t)g Fd(c)12 b Ff(\))150 2036 y Fg(Matrix&)54
4956
b(insert)48 b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)31
4957
b(&)p Fd(a)p Fe(,)g(in)m(t)g Fd(r)p Fe(,)g(in)m(t)f Fd(c)12
4958
b Ff(\))150 2146 y Fg(Matrix&)54 b(insert)48 b Ff(\()p
4959
Fe(const)31 b(DiagMatrix)i(&)p Fd(a)p Fe(,)d(in)m(t)h
4960
Fd(r)p Fe(,)g(in)m(t)g Fd(c)12 b Ff(\))150 2299 y Fg(Matrix&)54
4961
b(fill)47 b Ff(\()p Fe(double)30 b Fd(val)12 b Ff(\))150
4962
2409 y Fg(Matrix&)54 b(fill)47 b Ff(\()p Fe(double)30
4963
b Fd(val)p Fe(,)i(in)m(t)f(r1,)f(in)m(t)h(c1,)h(in)m(t)f(r2,)f(in)m(t)h
4964
(c2)p Ff(\))150 2562 y Fg(Matrix)54 b(append)47 b Ff(\()p
4965
Fe(const)32 b(Matrix)f(&)p Fd(a)12 b Ff(\))30 b Fe(const)150
4966
2672 y Fg(Matrix)54 b(append)47 b Ff(\()p Fe(const)32
4967
b(Ro)m(wV)-8 b(ector)32 b(&)p Fd(a)12 b Ff(\))30 b Fe(const)150
4968
2781 y Fg(Matrix)54 b(append)47 b Ff(\()p Fe(const)32
4969
b(ColumnV)-8 b(ector)31 b(&)p Fd(a)12 b Ff(\))30 b Fe(const)150
4970
2891 y Fg(Matrix)54 b(append)47 b Ff(\()p Fe(const)32
4971
b(DiagMatrix)h(&)p Fd(a)12 b Ff(\))30 b Fe(const)150
4972
3044 y Fg(Matrix)54 b(stack)47 b Ff(\()p Fe(const)31
4973
b(Matrix)h(&)p Fd(a)12 b Ff(\))30 b Fe(const)150 3154
4974
y Fg(Matrix)54 b(stack)47 b Ff(\()p Fe(const)31 b(Ro)m(wV)-8
4975
b(ector)33 b(&)p Fd(a)12 b Ff(\))30 b Fe(const)150 3263
4976
y Fg(Matrix)54 b(stack)47 b Ff(\()p Fe(const)31 b(ColumnV)-8
4977
b(ector)32 b(&)p Fd(a)12 b Ff(\))30 b Fe(const)150 3373
4978
y Fg(Matrix)54 b(stack)47 b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p
4979
Fd(a)12 b Ff(\))30 b Fe(const)150 3526 y Fg(Matrix)54
4980
b(transpose)48 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150
4981
3680 y Fg(Matrix)54 b(extract)48 b Ff(\()p Fe(in)m(t)31
4982
b(r1,)g(in)m(t)f(c1,)i(in)m(t)f(r2,)f(in)m(t)h(c2)p Ff(\))h
4983
Fe(const)150 3833 y Fg(RowVector)55 b(row)46 b Ff(\()p
4984
Fe(in)m(t)32 b Fd(i)12 b Ff(\))30 b Fe(const)150 3943
4985
y Fg(RowVector)55 b(row)46 b Ff(\()p Fe(c)m(har)31 b(*s)p
4986
Ff(\))g Fe(const)150 4096 y Fg(ColumnVector)56 b(column)47
4987
b Ff(\()p Fe(in)m(t)31 b Fd(i)12 b Ff(\))31 b Fe(const)150
4988
4206 y Fg(ColumnVector)56 b(column)47 b Ff(\()p Fe(c)m(har)31
4989
b(*s)p Ff(\))g Fe(const)150 4359 y Fg(Matrix)54 b(inverse)48
4990
b Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)150 4469 y
4991
Fg(Matrix)54 b(inverse)48 b Ff(\()p Fe(in)m(t)31 b(&)p
4992
Fd(info)12 b Ff(\))31 b Fe(const)150 4578 y Fg(Matrix)54
4993
b(inverse)48 b Ff(\()p Fe(in)m(t)31 b(&)p Fd(info)p Fe(,)g(double)f(&)p
4994
Fd(rcond)12 b Ff(\))32 b Fe(const)150 4732 y Fg(ComplexMatrix)56
4995
b(fourier)48 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150
4996
4841 y Fg(ComplexMatrix)56 b(ifourier)48 b Ff(\()p Fe(v)m(oid)p
4997
Ff(\))32 b Fe(const)150 4995 y Fg(DET)53 b(determinant)c
4998
Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 5104 y Fg(DET)53
4999
b(determinant)c Ff(\()p Fe(in)m(t)31 b(&)p Fd(info)12
5000
b Ff(\))31 b Fe(const)150 5214 y Fg(DET)53 b(determinant)c
5001
Ff(\()p Fe(in)m(t)31 b(&)p Fd(info)p Fe(,)h(double)e(&)p
5002
Fd(rcond)12 b Ff(\))31 b Fe(const)150 5367 y Fg(Matrix)54
5003
b(solve)47 b Ff(\()p Fe(const)31 b(Matrix)h(&)p Fd(b)12
5004
b Ff(\))30 b Fe(const)p eop end
5006
TeXDict begin 19 22 bop 150 -116 a Fp(Chapter)30 b(4:)41
5007
b(Matrix)31 b(and)f(V)-8 b(ector)32 b(Op)s(erations)1838
5008
b(19)150 299 y Fg(Matrix)54 b(solve)47 b Ff(\()p Fe(const)31
5009
b(Matrix)h(&)p Fd(b)p Fe(,)e(in)m(t)h(&)p Fd(info)12
5010
b Ff(\))31 b Fe(const)150 408 y Fg(Matrix)54 b(solve)47
5011
b Ff(\()p Fe(const)31 b(Matrix)h(&)p Fd(b)p Fe(,)e(in)m(t)h(&)p
5012
Fd(info)p Fe(,)h(double)d(&)p Fd(rcond)12 b Ff(\))32
5013
b Fe(const)150 571 y Fg(ComplexMatrix)56 b(solve)47 b
5014
Ff(\()p Fe(const)31 b(ComplexMatrix)h(&)p Fd(b)12 b Ff(\))30
5015
b Fe(const)150 680 y Fg(ComplexMatrix)56 b(solve)47 b
5016
Ff(\()p Fe(const)31 b(ComplexMatrix)h(&)p Fd(b)p Fe(,)e(in)m(t)h(&)p
5017
Fd(info)12 b Ff(\))31 b Fe(const)150 790 y Fg(ComplexMatrix)56
5018
b(solve)47 b Ff(\()p Fe(const)31 b(ComplexMatrix)h(&)p
5019
Fd(b)p Fe(,)e(in)m(t)h(&)p Fd(info)p Fe(,)h(double)e(&)p
5020
Fd(rcond)12 b Ff(\))565 900 y Fe(const)150 1062 y Fg(ColumnVector)56
5021
b(solve)47 b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)31
5022
b(&)p Fd(b)12 b Ff(\))31 b Fe(const)150 1172 y Fg(ColumnVector)56
5023
b(solve)47 b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)31
5024
b(&)p Fd(b)p Fe(,)g(in)m(t)g(&)p Fd(info)12 b Ff(\))31
5025
b Fe(const)150 1281 y Fg(ColumnVector)56 b(solve)47 b
5026
Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)31 b(&)p Fd(b)p
5027
Fe(,)g(in)m(t)g(&)p Fd(info)p Fe(,)g(double)f(&)p Fd(rcond)12
5028
b Ff(\))32 b Fe(const)150 1444 y Fg(ComplexColumnVector)58
5029
b(solve)47 b Ff(\()p Fe(const)31 b(ComplexColumnV)-8
5030
b(ector)32 b(&)p Fd(b)12 b Ff(\))30 b Fe(const)150 1553
5031
y Fg(ComplexColumnVector)58 b(solve)47 b Ff(\()p Fe(const)29
5032
b(ComplexColumnV)-8 b(ector)29 b(&)p Fd(b)p Fe(,)g(in)m(t)g(&)p
5033
Fd(info)12 b Ff(\))29 b Fe(const)150 1663 y Fg(ComplexColumnVector)58
5034
b(solve)47 b Ff(\()p Fe(const)31 b(ComplexColumnV)-8
5035
b(ector)32 b(&)p Fd(b)p Fe(,)e(in)m(t)h(&)p Fd(info)p
5036
Fe(,)565 1772 y(double)f(&)p Fd(rcond)12 b Ff(\))31 b
5037
Fe(const)150 1935 y Fg(Matrix)54 b(lssolve)48 b Ff(\()p
5038
Fe(const)31 b(Matrix)g(&)p Fd(b)12 b Ff(\))30 b Fe(const)150
5039
2044 y Fg(Matrix)54 b(lssolve)48 b Ff(\()p Fe(const)31
5040
b(Matrix)g(&)p Fd(b)p Fe(,)g(in)m(t)g(&)p Fd(info)12
5041
b Ff(\))31 b Fe(const)150 2154 y Fg(Matrix)54 b(lssolve)48
5042
b Ff(\()p Fe(const)31 b(Matrix)g(&)p Fd(b)p Fe(,)g(in)m(t)g(&)p
5043
Fd(info)p Fe(,)g(in)m(t)g(&)p Fd(rank)12 b Ff(\))31 b
5044
Fe(const)150 2316 y Fg(ComplexMatrix)56 b(lssolve)48
5045
b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p Fd(b)12 b
5046
Ff(\))31 b Fe(const)150 2426 y Fg(ComplexMatrix)56 b(lssolve)48
5047
b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p Fd(b)p Fe(,)g(in)m(t)g(&)p
5048
Fd(info)12 b Ff(\))31 b Fe(const)150 2535 y Fg(ComplexMatrix)56
5049
b(lssolve)48 b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p
5050
Fd(b)p Fe(,)g(in)m(t)g(&)p Fd(info)p Fe(,)g(in)m(t)g(&)p
5051
Fd(rank)12 b Ff(\))31 b Fe(const)150 2698 y Fg(ColumnVector)56
5052
b(lssolve)48 b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)31
5053
b(&)p Fd(b)12 b Ff(\))30 b Fe(const)150 2807 y Fg(ColumnVector)56
5054
b(lssolve)48 b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)31
5055
b(&)p Fd(b)p Fe(,)g(in)m(t)f(&)p Fd(info)12 b Ff(\))32
5056
b Fe(const)150 2917 y Fg(ColumnVector)56 b(lssolve)48
5057
b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)31 b(&)p Fd(b)p
5058
Fe(,)g(in)m(t)f(&)p Fd(info)p Fe(,)i(in)m(t)f(&)p Fd(rank)12
5059
b Ff(\))31 b Fe(const)150 3079 y Fg(ComplexColumnVector)58
5060
b(lssolve)48 b Ff(\()p Fe(const)31 b(ComplexColumnV)-8
5061
b(ector)31 b(&)p Fd(b)12 b Ff(\))30 b Fe(const)150 3189
5062
y Fg(ComplexColumnVector)58 b(lssolve)48 b Ff(\()p Fe(const)31
5063
b(ComplexColumnV)-8 b(ector)31 b(&)p Fd(b)p Fe(,)g(in)m(t)g(&)p
5064
Fd(info)12 b Ff(\))565 3298 y Fe(const)150 3408 y Fg
5065
(ComplexColumnVector)58 b(lssolve)48 b Ff(\()p Fe(const)31
5066
b(ComplexColumnV)-8 b(ector)31 b(&)p Fd(b)p Fe(,)g(in)m(t)g(&)p
5067
Fd(info)p Fe(,)g(in)m(t)565 3518 y(&)p Fd(rank)12 b Ff(\))31
5068
b Fe(const)150 3680 y Fg(Matrix&)54 b(operator)h(+=)46
5069
b Ff(\()p Fe(const)31 b(Matrix)h(&)p Fd(a)12 b Ff(\))150
5070
3790 y Fg(Matrix&)54 b(operator)h(-=)46 b Ff(\()p Fe(const)31
5071
b(Matrix)h(&)p Fd(a)12 b Ff(\))150 3952 y Fg(Matrix&)54
5072
b(operator)h(+=)46 b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p
5073
Fd(a)12 b Ff(\))150 4062 y Fg(Matrix&)54 b(operator)h(-=)46
5074
b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p Fd(a)12 b Ff(\))150
5075
4224 y Fg(Matrix)54 b(operator)h(!)46 b Ff(\()p Fe(v)m(oid)p
5076
Ff(\))31 b Fe(const)150 4386 y Fg(ComplexMatrix)56 b(operator)f(+)46
5077
b Ff(\()p Fe(const)31 b(Matrix)g(&)p Fd(a)p Fe(,)g(const)g(Complex)f(&)
5078
p Fd(s)12 b Ff(\))150 4496 y Fg(ComplexMatrix)56 b(operator)f(-)46
5079
b Ff(\()p Fe(const)31 b(Matrix)g(&)p Fd(a)p Fe(,)g(const)g(Complex)f(&)
5080
p Fd(s)12 b Ff(\))150 4605 y Fg(ComplexMatrix)56 b(operator)f(*)46
5081
b Ff(\()p Fe(const)31 b(Matrix)g(&)p Fd(a)p Fe(,)g(const)g(Complex)f(&)
5082
p Fd(s)12 b Ff(\))150 4715 y Fg(ComplexMatrix)56 b(operator)f(/)46
5083
b Ff(\()p Fe(const)31 b(Matrix)g(&)p Fd(a)p Fe(,)g(const)g(Complex)f(&)
5084
p Fd(s)12 b Ff(\))150 4877 y Fg(ComplexMatrix)56 b(operator)f(+)46
5085
b Ff(\()p Fe(const)31 b(Complex)f(&)p Fd(s)p Fe(,)h(const)g(Matrix)g(&)
5086
p Fd(a)12 b Ff(\))150 4987 y Fg(ComplexMatrix)56 b(operator)f(-)46
5087
b Ff(\()p Fe(const)31 b(Complex)f(&)p Fd(s)p Fe(,)h(const)g(Matrix)g(&)
5088
p Fd(a)12 b Ff(\))150 5097 y Fg(ComplexMatrix)56 b(operator)f(*)46
5089
b Ff(\()p Fe(const)31 b(Complex)f(&)p Fd(s)p Fe(,)h(const)g(Matrix)g(&)
5090
p Fd(a)12 b Ff(\))150 5206 y Fg(ComplexMatrix)56 b(operator)f(/)46
5091
b Ff(\()p Fe(const)31 b(Complex)f(&)p Fd(s)p Fe(,)h(const)g(Matrix)g(&)
5092
p Fd(a)12 b Ff(\))150 5369 y Fg(ColumnVector)56 b(operator)f(*)45
5093
b Ff(\()p Fe(const)32 b(Matrix)f(&)p Fd(a)p Fe(,)g(const)f(ColumnV)-8
5094
b(ector)32 b(&)p Fd(b)12 b Ff(\))p eop end
5096
TeXDict begin 20 23 bop 150 -116 a Fp(Chapter)30 b(4:)41
5097
b(Matrix)31 b(and)f(V)-8 b(ector)32 b(Op)s(erations)1838
5098
b(20)150 299 y Fg(ComplexColumnVector)58 b(operator)d(*)46
5099
b Ff(\()p Fe(const)31 b(Matrix)g(&)p Fd(a)p Fe(,)g(const)565
5100
408 y(ComplexColumnV)-8 b(ector)31 b(&)p Fd(b)12 b Ff(\))150
5101
579 y Fg(Matrix)54 b(operator)h(+)46 b Ff(\()p Fe(const)31
5102
b(Matrix)g(&)p Fd(a)p Fe(,)g(const)g(DiagMatrix)h(&)p
5103
Fd(b)12 b Ff(\))150 688 y Fg(Matrix)54 b(operator)h(-)46
5104
b Ff(\()p Fe(const)31 b(Matrix)g(&)p Fd(a)p Fe(,)g(const)g(DiagMatrix)h
5105
(&)p Fd(b)12 b Ff(\))150 798 y Fg(Matrix)54 b(operator)h(*)46
5106
b Ff(\()p Fe(const)31 b(Matrix)g(&)p Fd(a)p Fe(,)g(const)g(DiagMatrix)h
5107
(&)p Fd(b)12 b Ff(\))150 968 y Fg(ComplexMatrix)56 b(operator)f(+)46
5108
b Ff(\()p Fe(const)31 b(Matrix)g(&)p Fd(a)p Fe(,)g(const)g
5109
(ComplexDiagMatrix)i(&)p Fd(b)12 b Ff(\))150 1078 y Fg(ComplexMatrix)56
5110
b(operator)f(-)46 b Ff(\()p Fe(const)31 b(Matrix)g(&)p
5111
Fd(a)p Fe(,)g(const)g(ComplexDiagMatrix)i(&)p Fd(b)12
5112
b Ff(\))150 1187 y Fg(ComplexMatrix)56 b(operator)f(*)46
5113
b Ff(\()p Fe(const)31 b(Matrix)g(&)p Fd(a)p Fe(,)g(const)g
5114
(ComplexDiagMatrix)i(&)p Fd(b)12 b Ff(\))150 1357 y Fg(Matrix)54
5115
b(operator)h(*)46 b Ff(\()p Fe(const)31 b(Matrix)g(&)p
5116
Fd(a)p Fe(,)g(const)g(Matrix)g(&)p Fd(b)12 b Ff(\))150
5117
1467 y Fg(ComplexMatrix)56 b(operator)f(*)46 b Ff(\()p
5118
Fe(const)31 b(Matrix)g(&)p Fd(a)p Fe(,)g(const)g(ComplexMatrix)g(&)p
5119
Fd(b)12 b Ff(\))150 1637 y Fg(ComplexMatrix)56 b(operator)f(+)46
5120
b Ff(\()p Fe(const)31 b(Matrix)g(&)p Fd(a)p Fe(,)g(const)g
5121
(ComplexMatrix)g(&)p Fd(b)12 b Ff(\))150 1747 y Fg(ComplexMatrix)56
5122
b(operator)f(-)46 b Ff(\()p Fe(const)31 b(Matrix)g(&)p
5123
Fd(a)p Fe(,)g(const)g(ComplexMatrix)g(&)p Fd(b)12 b Ff(\))150
5124
1917 y Fg(ComplexMatrix)56 b(product)48 b Ff(\()p Fe(const)31
5125
b(Matrix)g(&)p Fd(a)p Fe(,)g(const)g(ComplexMatrix)g(&)p
5126
Fd(b)12 b Ff(\))150 2027 y Fg(ComplexMatrix)56 b(quotient)48
5127
b Ff(\()p Fe(const)31 b(Matrix)h(&)p Fd(a)p Fe(,)e(const)h
5128
(ComplexMatrix)g(&)p Fd(b)12 b Ff(\))150 2197 y Fg(Matrix)54
5129
b(map)46 b Ff(\()p Fe(d)p 810 2197 28 4 v 40 w(d)p 901
5130
2197 V 40 w(Mapp)s(er)29 b Fd(f)p Fe(,)i(const)g(Matrix)h(&)p
5131
Fd(a)12 b Ff(\))150 2306 y Fg(void)54 b(map)46 b Ff(\()p
5132
Fe(d)p 706 2306 V 40 w(d)p 797 2306 V 39 w(Mapp)s(er)30
5133
b Fd(f)12 b Ff(\))150 2477 y Fg(Matrix)54 b(all)46 b
5134
Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 2586 y Fg(Matrix)54
5135
b(any)46 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150
5136
2756 y Fg(Matrix)54 b(cumprod)48 b Ff(\()p Fe(v)m(oid)p
5137
Ff(\))31 b Fe(const)150 2866 y Fg(Matrix)54 b(cumsum)47
5138
b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 2976 y
5139
Fg(Matrix)54 b(prod)47 b Ff(\()p Fe(v)m(oid)p Ff(\))31
5140
b Fe(const)150 3085 y Fg(Matrix)54 b(sum)46 b Ff(\()p
5141
Fe(v)m(oid)p Ff(\))32 b Fe(const)150 3195 y Fg(Matrix)54
5142
b(sumsq)47 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150
5143
3365 y Fg(ColumnVector)56 b(diag)47 b Ff(\()p Fe(v)m(oid)p
5144
Ff(\))31 b Fe(const)150 3475 y Fg(ColumnVector)56 b(diag)47
5145
b Ff(\()p Fe(in)m(t)31 b Fd(k)12 b Ff(\))30 b Fe(const)150
5146
3645 y Fg(ColumnVector)56 b(row_min)48 b Ff(\()p Fe(v)m(oid)p
5147
Ff(\))31 b Fe(const)150 3754 y Fg(ColumnVector)56 b(row_min_loc)49
5148
b Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)150 3925 y
5149
Fg(ColumnVector)56 b(row_max)48 b Ff(\()p Fe(v)m(oid)p
5150
Ff(\))31 b Fe(const)150 4034 y Fg(ColumnVector)56 b(row_max_loc)49
5151
b Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)150 4204 y
5152
Fg(RowVector)55 b(column_min)49 b Ff(\()p Fe(v)m(oid)p
5153
Ff(\))31 b Fe(const)150 4314 y Fg(RowVector)55 b(column_min_loc)50
5154
b Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)150 4484 y
5155
Fg(RowVector)55 b(column_max)49 b Ff(\()p Fe(v)m(oid)p
5156
Ff(\))31 b Fe(const)150 4594 y Fg(RowVector)55 b(column_max_loc)50
5157
b Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)150 4764 y
5158
Fg(ostream&)55 b(operator)f(<<)47 b Ff(\()p Fe(ostream)31
5159
b(&)p Fd(os)p Fe(,)g(const)g(Matrix)g(&)p Fd(a)12 b Ff(\))150
5160
4873 y Fg(istream&)55 b(operator)f(>>)47 b Ff(\()p Fe(istream)31
5161
b(&)p Fd(is)p Fe(,)g(Matrix)g(&)p Fd(a)12 b Ff(\))150
5162
5044 y Fg(ColumnVector)49 b Ff(\()p Fe(v)m(oid)p Ff(\))150
5163
5153 y Fg(ColumnVector)g Ff(\()p Fe(in)m(t)31 b Fd(n)12
5164
b Ff(\))150 5263 y Fg(ColumnVector)49 b Ff(\()p Fe(in)m(t)31
5165
b Fd(n)p Fe(,)g(double)f Fd(val)12 b Ff(\))150 5372 y
5166
Fg(ColumnVector)49 b Ff(\()p Fe(const)31 b(Arra)m(y)p
5167
Fg(<)p Fe(double)p Fg(>)g Fe(&)p Fd(a)12 b Ff(\))p eop
5170
TeXDict begin 21 24 bop 150 -116 a Fp(Chapter)30 b(4:)41
5171
b(Matrix)31 b(and)f(V)-8 b(ector)32 b(Op)s(erations)1838
5172
b(21)150 299 y Fg(ColumnVector)49 b Ff(\()p Fe(const)31
5173
b(ColumnV)-8 b(ector)32 b(&)p Fd(a)12 b Ff(\))150 459
5174
y Fg(ColumnVector&)56 b(operator)f(=)46 b Ff(\()p Fe(const)31
5175
b(ColumnV)-8 b(ector)31 b(&)p Fd(a)12 b Ff(\))150 619
5176
y Fg(int)53 b(operator)i(==)46 b Ff(\()p Fe(const)31
5177
b(ColumnV)-8 b(ector)32 b(&)p Fd(a)12 b Ff(\))30 b Fe(const)150
5178
729 y Fg(int)53 b(operator)i(!=)46 b Ff(\()p Fe(const)31
5179
b(ColumnV)-8 b(ector)32 b(&)p Fd(a)12 b Ff(\))30 b Fe(const)150
5180
889 y Fg(ColumnVector&)56 b(insert)48 b Ff(\()p Fe(const)31
5181
b(ColumnV)-8 b(ector)31 b(&)p Fd(a)p Fe(,)g(in)m(t)f
5182
Fd(r)12 b Ff(\))150 1050 y Fg(ColumnVector&)56 b(fill)47
5183
b Ff(\()p Fe(double)30 b Fd(val)12 b Ff(\))150 1159 y
5184
Fg(ColumnVector&)56 b(fill)47 b Ff(\()p Fe(double)30
5185
b Fd(val)p Fe(,)i(in)m(t)f(r1,)f(in)m(t)h(r2)p Ff(\))150
5186
1319 y Fg(ColumnVector)56 b(stack)47 b Ff(\()p Fe(const)31
5187
b(ColumnV)-8 b(ector)31 b(&)p Fd(a)12 b Ff(\))31 b Fe(const)150
5188
1480 y Fg(RowVector)55 b(transpose)48 b Ff(\()p Fe(v)m(oid)p
5189
Ff(\))32 b Fe(const)150 1640 y Fg(ColumnVector)56 b(extract)48
5190
b Ff(\()p Fe(in)m(t)31 b(r1,)f(in)m(t)h(r2)p Ff(\))g
5191
Fe(const)150 1800 y Fg(ColumnVector&)56 b(operator)f(+=)46
5192
b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)32 b(&)p Fd(a)12
5193
b Ff(\))150 1910 y Fg(ColumnVector&)56 b(operator)f(-=)46
5194
b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)32 b(&)p Fd(a)12
5195
b Ff(\))150 2070 y Fg(ComplexColumnVector)58 b(operator)d(+)46
5196
b Ff(\()p Fe(const)30 b(ColumnV)-8 b(ector)29 b(&)p Fd(a)p
5197
Fe(,)h(const)g(Complex)f(&)p Fd(s)12 b Ff(\))150 2180
5198
y Fg(ComplexColumnVector)58 b(operator)d(-)46 b Ff(\()p
5199
Fe(const)30 b(ColumnV)-8 b(ector)29 b(&)p Fd(a)p Fe(,)h(const)g
5200
(Complex)f(&)p Fd(s)12 b Ff(\))150 2289 y Fg(ComplexColumnVector)58
5201
b(operator)d(*)46 b Ff(\()p Fe(const)30 b(ColumnV)-8
5202
b(ector)29 b(&)p Fd(a)p Fe(,)h(const)g(Complex)f(&)p
5203
Fd(s)12 b Ff(\))150 2399 y Fg(ComplexColumnVector)58
5204
b(operator)d(/)46 b Ff(\()p Fe(const)30 b(ColumnV)-8
5205
b(ector)29 b(&)p Fd(a)p Fe(,)h(const)g(Complex)f(&)p
5206
Fd(s)12 b Ff(\))150 2559 y Fg(ComplexColumnVector)58
5207
b(operator)d(+)46 b Ff(\()p Fe(const)30 b(Complex)f(&)p
5208
Fd(s)p Fe(,)g(const)h(ColumnV)-8 b(ector)30 b(&)p Fd(a)12
5209
b Ff(\))150 2669 y Fg(ComplexColumnVector)58 b(operator)d(-)46
5210
b Ff(\()p Fe(const)30 b(Complex)f(&)p Fd(s)p Fe(,)g(const)h(ColumnV)-8
5211
b(ector)30 b(&)p Fd(a)12 b Ff(\))150 2778 y Fg(ComplexColumnVector)58
5212
b(operator)d(*)46 b Ff(\()p Fe(const)30 b(Complex)f(&)p
5213
Fd(s)p Fe(,)g(const)h(ColumnV)-8 b(ector)30 b(&)p Fd(a)12
5214
b Ff(\))150 2888 y Fg(ComplexColumnVector)58 b(operator)d(/)46
5215
b Ff(\()p Fe(const)30 b(Complex)f(&)p Fd(s)p Fe(,)g(const)h(ColumnV)-8
5216
b(ector)30 b(&)p Fd(a)12 b Ff(\))150 3048 y Fg(Matrix)54
5217
b(operator)h(*)46 b Ff(\()p Fe(const)31 b(ColumnV)-8
5218
b(ector)31 b(&)p Fd(a)p Fe(,)g(const)g(Ro)m(wV)-8 b(ector)32
5219
b(&)p Fd(a)12 b Ff(\))150 3209 y Fg(ComplexMatrix)56
5220
b(operator)f(*)46 b Ff(\()p Fe(const)31 b(ColumnV)-8
5221
b(ector)31 b(&)p Fd(a)p Fe(,)g(const)g(ComplexRo)m(wV)-8
5222
b(ector)565 3318 y(&)p Fd(b)12 b Ff(\))150 3478 y Fg
5223
(ComplexColumnVector)58 b(operator)d(+)46 b Ff(\()p Fe(const)31
5224
b(ComplexColumnV)-8 b(ector)31 b(&)p Fd(a)p Fe(,)g(const)565
5225
3588 y(ComplexColumnV)-8 b(ector)31 b(&)p Fd(b)12 b Ff(\))150
5226
3748 y Fg(ComplexColumnVector)58 b(operator)d(-)46 b
5227
Ff(\()p Fe(const)31 b(ComplexColumnV)-8 b(ector)31 b(&)p
5228
Fd(a)p Fe(,)g(const)565 3858 y(ComplexColumnV)-8 b(ector)31
5229
b(&)p Fd(b)12 b Ff(\))150 4018 y Fg(ComplexColumnVector)58
5230
b(product)48 b Ff(\()p Fe(const)31 b(ComplexColumnV)-8
5231
b(ector)31 b(&)p Fd(a)p Fe(,)g(const)565 4128 y(ComplexColumnV)-8
5232
b(ector)31 b(&)p Fd(b)12 b Ff(\))150 4288 y Fg(ComplexColumnVector)58
5233
b(quotient)48 b Ff(\()p Fe(const)31 b(ComplexColumnV)-8
5234
b(ector)31 b(&)p Fd(a)p Fe(,)g(const)565 4398 y(ComplexColumnV)-8
5235
b(ector)31 b(&)p Fd(b)12 b Ff(\))150 4558 y Fg(ColumnVector)56
5236
b(map)46 b Ff(\()p Fe(d)p 1124 4558 28 4 v 40 w(d)p 1215
5237
4558 V 40 w(Mapp)s(er)29 b Fd(f)p Fe(,)i(const)g(ColumnV)-8
5238
b(ector)31 b(&)p Fd(a)12 b Ff(\))150 4667 y Fg(void)54
5239
b(map)46 b Ff(\()p Fe(d)p 706 4667 V 40 w(d)p 797 4667
5240
V 39 w(Mapp)s(er)30 b Fd(f)12 b Ff(\))150 4828 y Fg(double)54
5241
b(min)46 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150
5242
4937 y Fg(double)54 b(max)46 b Ff(\()p Fe(v)m(oid)p Ff(\))32
5243
b Fe(const)150 5098 y Fg(ostream&)55 b(operator)f(<<)47
5244
b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p Fe(,)g(const)g(ColumnV)-8
5245
b(ector)31 b(&)p Fd(a)12 b Ff(\))150 5258 y Fg(RowVector)48
5246
b Ff(\()p Fe(v)m(oid)p Ff(\))150 5367 y Fg(RowVector)g
5247
Ff(\()p Fe(in)m(t)31 b Fd(n)12 b Ff(\))p eop end
5249
TeXDict begin 22 25 bop 150 -116 a Fp(Chapter)30 b(4:)41
5250
b(Matrix)31 b(and)f(V)-8 b(ector)32 b(Op)s(erations)1838
5251
b(22)150 299 y Fg(RowVector)48 b Ff(\()p Fe(in)m(t)31
5252
b Fd(n)p Fe(,)g(double)f Fd(val)12 b Ff(\))150 408 y
5253
Fg(RowVector)48 b Ff(\()p Fe(const)31 b(Arra)m(y)p Fg(<)p
5254
Fe(double)p Fg(>)g Fe(&)p Fd(a)12 b Ff(\))150 518 y Fg(RowVector)48
5255
b Ff(\()p Fe(const)31 b(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)12
5256
b Ff(\))150 673 y Fg(RowVector&)55 b(operator)g(=)46
5257
b Ff(\()p Fe(const)31 b(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)12
5258
b Ff(\))150 828 y Fg(int)53 b(operator)i(==)46 b Ff(\()p
5259
Fe(const)31 b(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)12 b Ff(\))30
5260
b Fe(const)150 937 y Fg(int)53 b(operator)i(!=)46 b Ff(\()p
5261
Fe(const)31 b(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)12 b Ff(\))30
5262
b Fe(const)150 1092 y Fg(RowVector&)55 b(insert)48 b
5263
Ff(\()p Fe(const)31 b(Ro)m(wV)-8 b(ector)32 b(&)p Fd(a)p
5264
Fe(,)f(in)m(t)g Fd(c)12 b Ff(\))150 1247 y Fg(RowVector&)55
5265
b(fill)47 b Ff(\()p Fe(double)30 b Fd(val)12 b Ff(\))150
5266
1356 y Fg(RowVector&)55 b(fill)47 b Ff(\()p Fe(double)30
5267
b Fd(val)p Fe(,)i(in)m(t)f(c1,)g(in)m(t)g(c2)p Ff(\))150
5268
1511 y Fg(RowVector)55 b(append)47 b Ff(\()p Fe(const)32
5269
b(Ro)m(wV)-8 b(ector)32 b(&)p Fd(a)12 b Ff(\))30 b Fe(const)150
5270
1666 y Fg(ColumnVector)56 b(transpose)48 b Ff(\()p Fe(v)m(oid)p
5271
Ff(\))32 b Fe(const)150 1821 y Fg(RowVector)55 b(extract)48
5272
b Ff(\()p Fe(in)m(t)31 b(c1,)g(in)m(t)g(c2)p Ff(\))h
5273
Fe(const)150 1975 y Fg(RowVector&)55 b(operator)g(+=)46
5274
b Ff(\()p Fe(const)31 b(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)12
5275
b Ff(\))150 2085 y Fg(RowVector&)55 b(operator)g(-=)46
5276
b Ff(\()p Fe(const)31 b(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)12
5277
b Ff(\))150 2240 y Fg(ComplexRowVector)57 b(operator)e(+)46
5278
b Ff(\()p Fe(const)31 b(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)p
5279
Fe(,)d(const)h(Complex)f(&)p Fd(s)12 b Ff(\))150 2349
5280
y Fg(ComplexRowVector)57 b(operator)e(-)46 b Ff(\()p
5281
Fe(const)31 b(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)p Fe(,)d(const)h
5282
(Complex)f(&)p Fd(s)12 b Ff(\))150 2459 y Fg(ComplexRowVector)57
5283
b(operator)e(*)46 b Ff(\()p Fe(const)31 b(Ro)m(wV)-8
5284
b(ector)33 b(&)p Fd(a)p Fe(,)d(const)h(Complex)f(&)p
5285
Fd(s)12 b Ff(\))150 2569 y Fg(ComplexRowVector)57 b(operator)e(/)46
5286
b Ff(\()p Fe(const)31 b(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)p
5287
Fe(,)d(const)h(Complex)f(&)p Fd(s)12 b Ff(\))150 2723
5288
y Fg(ComplexRowVector)57 b(operator)e(+)46 b Ff(\()p
5289
Fe(const)31 b(Complex)f(&)p Fd(s)p Fe(,)h(const)g(Ro)m(wV)-8
5290
b(ector)32 b(&)p Fd(a)12 b Ff(\))150 2833 y Fg(ComplexRowVector)57
5291
b(operator)e(-)46 b Ff(\()p Fe(const)31 b(Complex)f(&)p
5292
Fd(s)p Fe(,)h(const)g(Ro)m(wV)-8 b(ector)32 b(&)p Fd(a)12
5293
b Ff(\))150 2943 y Fg(ComplexRowVector)57 b(operator)e(*)46
5294
b Ff(\()p Fe(const)31 b(Complex)f(&)p Fd(s)p Fe(,)h(const)g(Ro)m(wV)-8
5295
b(ector)32 b(&)p Fd(a)12 b Ff(\))150 3052 y Fg(ComplexRowVector)57
5296
b(operator)e(/)46 b Ff(\()p Fe(const)31 b(Complex)f(&)p
5297
Fd(s)p Fe(,)h(const)g(Ro)m(wV)-8 b(ector)32 b(&)p Fd(a)12
5298
b Ff(\))150 3207 y Fg(double)54 b(operator)h(*)46 b Ff(\()p
5299
Fe(const)31 b(Ro)m(wV)-8 b(ector)32 b(&)p Fd(a)p Fe(,)f(ColumnV)-8
5300
b(ector)31 b(&)p Fd(b)12 b Ff(\))150 3362 y Fg(Complex)54
5301
b(operator)h(*)46 b Ff(\()p Fe(const)31 b(Ro)m(wV)-8
5302
b(ector)33 b(&)p Fd(a)p Fe(,)d(const)h(ComplexColumnV)-8
5303
b(ector)32 b(&)p Fd(b)12 b Ff(\))150 3516 y Fg(RowVector)55
5304
b(operator)g(*)46 b Ff(\()p Fe(const)31 b(Ro)m(wV)-8
5305
b(ector)32 b(&)p Fd(a)p Fe(,)f(const)g(Matrix)g(&)p Fd(b)12
5306
b Ff(\))150 3671 y Fg(ComplexRowVector)57 b(operator)e(*)46
5307
b Ff(\()p Fe(const)31 b(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)p
5308
Fe(,)d(const)h(ComplexMatrix)g(&)p Fd(b)12 b Ff(\))150
5309
3826 y Fg(ComplexRowVector)57 b(operator)e(+)46 b Ff(\()p
5310
Fe(const)31 b(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)p Fe(,)d(const)h
5311
(ComplexRo)m(wV)-8 b(ector)565 3936 y(&)p Fd(b)12 b Ff(\))150
5312
4045 y Fg(ComplexRowVector)57 b(operator)e(-)46 b Ff(\()p
5313
Fe(const)31 b(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)p Fe(,)d(const)h
5314
(ComplexRo)m(wV)-8 b(ector)565 4155 y(&)p Fd(b)12 b Ff(\))150
5315
4310 y Fg(ComplexRowVector)57 b(product)48 b Ff(\()p
5316
Fe(const)31 b(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)p Fe(,)d(const)h
5317
(ComplexRo)m(wV)-8 b(ector)33 b(&)p Fd(b)12 b Ff(\))150
5318
4419 y Fg(ComplexRowVector)57 b(quotient)48 b Ff(\()p
5319
Fe(const)31 b(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)p Fe(,)d(const)h
5320
(ComplexRo)m(wV)-8 b(ector)565 4529 y(&)p Fd(b)12 b Ff(\))150
5321
4684 y Fg(RowVector)55 b(map)46 b Ff(\()p Fe(d)p 967
5322
4684 28 4 v 40 w(d)p 1058 4684 V 40 w(Mapp)s(er)29 b
5323
Fd(f)p Fe(,)i(const)g(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)12
5324
b Ff(\))150 4793 y Fg(void)54 b(map)46 b Ff(\()p Fe(d)p
5325
706 4793 V 40 w(d)p 797 4793 V 39 w(Mapp)s(er)30 b Fd(f)12
5326
b Ff(\))150 4948 y Fg(double)54 b(min)46 b Ff(\()p Fe(v)m(oid)p
5327
Ff(\))32 b Fe(const)150 5058 y Fg(double)54 b(max)46
5328
b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 5212 y
5329
Fg(ostream&)55 b(operator)f(<<)47 b Ff(\()p Fe(ostream)31
5330
b(&)p Fd(os)p Fe(,)g(const)g(Ro)m(wV)-8 b(ector)32 b(&)p
5331
Fd(a)12 b Ff(\))150 5367 y Fg(DiagMatrix)48 b Ff(\()p
5332
Fe(v)m(oid)p Ff(\))p eop end
5334
TeXDict begin 23 26 bop 150 -116 a Fp(Chapter)30 b(4:)41
5335
b(Matrix)31 b(and)f(V)-8 b(ector)32 b(Op)s(erations)1838
5336
b(23)150 299 y Fg(DiagMatrix)48 b Ff(\()p Fe(in)m(t)32
5337
b Fd(n)12 b Ff(\))150 408 y Fg(DiagMatrix)48 b Ff(\()p
5338
Fe(in)m(t)32 b Fd(n)p Fe(,)f(double)f Fd(val)12 b Ff(\))150
5339
518 y Fg(DiagMatrix)48 b Ff(\()p Fe(in)m(t)32 b Fd(r)p
5340
Fe(,)f(in)m(t)f Fd(c)12 b Ff(\))150 628 y Fg(DiagMatrix)48
5341
b Ff(\()p Fe(in)m(t)32 b Fd(r)p Fe(,)f(in)m(t)f Fd(c)p
5342
Fe(,)h(double)f Fd(val)12 b Ff(\))150 737 y Fg(DiagMatrix)48
5343
b Ff(\()p Fe(const)32 b(Ro)m(wV)-8 b(ector)32 b(&)p Fd(a)12
5344
b Ff(\))150 847 y Fg(DiagMatrix)48 b Ff(\()p Fe(const)32
5345
b(ColumnV)-8 b(ector)31 b(&)p Fd(a)12 b Ff(\))150 956
5346
y Fg(DiagMatrix)48 b Ff(\()p Fe(const)32 b(DiagArra)m(y)p
5347
Fg(<)p Fe(double)p Fg(>)g Fe(&)p Fd(a)12 b Ff(\))150
5348
1066 y Fg(DiagMatrix)48 b Ff(\()p Fe(const)32 b(DiagMatrix)h(&)p
5349
Fd(a)12 b Ff(\))150 1265 y Fg(DiagMatrix&)56 b(operator)e(=)46
5350
b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p Fd(a)12 b Ff(\))150
5351
1464 y Fg(int)53 b(operator)i(==)46 b Ff(\()p Fe(const)31
5352
b(DiagMatrix)i(&)p Fd(a)12 b Ff(\))30 b Fe(const)150
5353
1574 y Fg(int)53 b(operator)i(!=)46 b Ff(\()p Fe(const)31
5354
b(DiagMatrix)i(&)p Fd(a)12 b Ff(\))30 b Fe(const)150
5355
1773 y Fg(DiagMatrix&)56 b(fill)46 b Ff(\()p Fe(double)31
5356
b Fd(val)12 b Ff(\))150 1882 y Fg(DiagMatrix&)56 b(fill)46
5357
b Ff(\()p Fe(double)31 b Fd(val)p Fe(,)g(in)m(t)g Fd(beg)p
5358
Fe(,)g(in)m(t)g Fd(end)12 b Ff(\))150 1992 y Fg(DiagMatrix&)56
5359
b(fill)46 b Ff(\()p Fe(const)32 b(ColumnV)-8 b(ector)31
5360
b(&)p Fd(a)12 b Ff(\))150 2101 y Fg(DiagMatrix&)56 b(fill)46
5361
b Ff(\()p Fe(const)32 b(Ro)m(wV)-8 b(ector)32 b(&)p Fd(a)12
5362
b Ff(\))150 2211 y Fg(DiagMatrix&)56 b(fill)46 b Ff(\()p
5363
Fe(const)32 b(ColumnV)-8 b(ector)31 b(&)p Fd(a)p Fe(,)f(in)m(t)h
5364
Fd(beg)12 b Ff(\))150 2321 y Fg(DiagMatrix&)56 b(fill)46
5365
b Ff(\()p Fe(const)32 b(Ro)m(wV)-8 b(ector)32 b(&)p Fd(a)p
5366
Fe(,)f(in)m(t)g Fd(beg)12 b Ff(\))150 2520 y Fg(DiagMatrix)55
5367
b(transpose)49 b Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)150
5368
2719 y Fg(Matrix)54 b(extract)48 b Ff(\()p Fe(in)m(t)31
5369
b(r1,)g(in)m(t)f(c1,)i(in)m(t)f(r2,)f(in)m(t)h(c2)p Ff(\))h
5370
Fe(const)150 2918 y Fg(RowVector)55 b(row)46 b Ff(\()p
5371
Fe(in)m(t)32 b Fd(i)12 b Ff(\))30 b Fe(const)150 3027
5372
y Fg(RowVector)55 b(row)46 b Ff(\()p Fe(c)m(har)31 b(*s)p
5373
Ff(\))g Fe(const)150 3226 y Fg(ColumnVector)56 b(column)47
5374
b Ff(\()p Fe(in)m(t)31 b Fd(i)12 b Ff(\))31 b Fe(const)150
5375
3336 y Fg(ColumnVector)56 b(column)47 b Ff(\()p Fe(c)m(har)31
5376
b(*s)p Ff(\))g Fe(const)150 3535 y Fg(DiagMatrix)55 b(inverse)48
5377
b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 3645 y
5378
Fg(DiagMatrix)55 b(inverse)48 b Ff(\()p Fe(in)m(t)31
5379
b(&)p Fd(info)12 b Ff(\))31 b Fe(const)150 3844 y Fg(DiagMatrix&)56
5380
b(operator)e(+=)46 b Ff(\()p Fe(const)32 b(DiagMatrix)h(&)p
5381
Fd(a)12 b Ff(\))150 3953 y Fg(DiagMatrix&)56 b(operator)e(-=)46
5382
b Ff(\()p Fe(const)32 b(DiagMatrix)h(&)p Fd(a)12 b Ff(\))150
5383
4152 y Fg(Matrix)54 b(operator)h(+)46 b Ff(\()p Fe(const)31
5384
b(DiagMatrix)i(&)p Fd(a)p Fe(,)d(double)g Fd(s)12 b Ff(\))150
5385
4262 y Fg(Matrix)54 b(operator)h(-)46 b Ff(\()p Fe(const)31
5386
b(DiagMatrix)i(&)p Fd(a)p Fe(,)d(double)g Fd(s)12 b Ff(\))150
5387
4461 y Fg(ComplexMatrix)56 b(operator)f(+)46 b Ff(\()p
5388
Fe(const)31 b(DiagMatrix)i(&)p Fd(a)p Fe(,)d(const)h(Complex)g(&)p
5389
Fd(s)12 b Ff(\))150 4571 y Fg(ComplexMatrix)56 b(operator)f(-)46
5390
b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p Fd(a)p Fe(,)d(const)h(Complex)
5391
g(&)p Fd(s)12 b Ff(\))150 4770 y Fg(ComplexDiagMatrix)57
5392
b(operator)e(*)46 b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p
5393
Fd(a)p Fe(,)e(const)g(Complex)f(&)p Fd(s)12 b Ff(\))150
5394
4879 y Fg(ComplexDiagMatrix)57 b(operator)e(/)46 b Ff(\()p
5395
Fe(const)31 b(DiagMatrix)i(&)p Fd(a)p Fe(,)e(const)g(Complex)f(&)p
5396
Fd(s)12 b Ff(\))150 5078 y Fg(Matrix)54 b(operator)h(+)46
5397
b Ff(\()p Fe(double)30 b Fd(s)p Fe(,)h(const)g(DiagMatrix)i(&)p
5398
Fd(a)12 b Ff(\))150 5188 y Fg(Matrix)54 b(operator)h(-)46
5399
b Ff(\()p Fe(double)30 b Fd(s)p Fe(,)h(const)g(DiagMatrix)i(&)p
5400
Fd(a)12 b Ff(\))150 5387 y Fg(ComplexMatrix)56 b(operator)f(+)46
5401
b Ff(\()p Fe(const)31 b(Complex)f(&)p Fd(s)p Fe(,)h(const)g(DiagMatrix)
5402
i(&)p Fd(a)12 b Ff(\))p eop end
5404
TeXDict begin 24 27 bop 150 -116 a Fp(Chapter)30 b(4:)41
5405
b(Matrix)31 b(and)f(V)-8 b(ector)32 b(Op)s(erations)1838
5406
b(24)150 299 y Fg(ComplexMatrix)56 b(operator)f(-)46
5407
b Ff(\()p Fe(const)31 b(Complex)f(&)p Fd(s)p Fe(,)h(const)g(DiagMatrix)
5408
i(&)p Fd(a)12 b Ff(\))150 454 y Fg(ComplexDiagMatrix)57
5409
b(operator)e(*)46 b Ff(\()p Fe(const)31 b(Complex)f(&)p
5410
Fd(s)p Fe(,)h(const)g(DiagMatrix)i(&)p Fd(a)12 b Ff(\))150
5411
609 y Fg(ColumnVector)56 b(operator)f(*)45 b Ff(\()p
5412
Fe(const)32 b(DiagMatrix)h(&)p Fd(a)p Fe(,)d(const)h(ColumnV)-8
5413
b(ector)31 b(&)p Fd(b)12 b Ff(\))150 765 y Fg(ComplexColumnVector)58
5414
b(operator)d(*)46 b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p
5415
Fd(a)p Fe(,)d(const)565 874 y(ComplexColumnV)-8 b(ector)31
5416
b(&)p Fd(b)12 b Ff(\))150 1029 y Fg(ComplexDiagMatrix)57
5417
b(operator)e(+)46 b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p
5418
Fd(a)p Fe(,)e(const)565 1139 y(ComplexDiagMatrix)i(&)p
5419
Fd(b)12 b Ff(\))150 1249 y Fg(ComplexDiagMatrix)57 b(operator)e(-)46
5420
b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p Fd(a)p Fe(,)e(const)565
5421
1358 y(ComplexDiagMatrix)i(&)p Fd(b)12 b Ff(\))150 1513
5422
y Fg(ComplexDiagMatrix)57 b(product)48 b Ff(\()p Fe(const)31
5423
b(DiagMatrix)i(&)p Fd(a)p Fe(,)e(const)g(ComplexDiagMatrix)565
5424
1623 y(&)p Fd(b)12 b Ff(\))150 1778 y Fg(Matrix)54 b(operator)h(+)46
5425
b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p Fd(a)p Fe(,)d(const)h(Matrix)g
5426
(&)p Fd(b)12 b Ff(\))150 1888 y Fg(Matrix)54 b(operator)h(-)46
5427
b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p Fd(a)p Fe(,)d(const)h(Matrix)g
5428
(&)p Fd(b)12 b Ff(\))150 1997 y Fg(Matrix)54 b(operator)h(*)46
5429
b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p Fd(a)p Fe(,)d(const)h(Matrix)g
5430
(&)p Fd(b)12 b Ff(\))150 2153 y Fg(ComplexMatrix)56 b(operator)f(+)46
5431
b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p Fd(a)p Fe(,)d(const)h
5432
(ComplexMatrix)h(&)p Fd(b)12 b Ff(\))150 2262 y Fg(ComplexMatrix)56
5433
b(operator)f(-)46 b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p
5434
Fd(a)p Fe(,)d(const)h(ComplexMatrix)h(&)p Fd(b)12 b Ff(\))150
5435
2372 y Fg(ComplexMatrix)56 b(operator)f(*)46 b Ff(\()p
5436
Fe(const)31 b(DiagMatrix)i(&)p Fd(a)p Fe(,)d(const)h(ComplexMatrix)h(&)
5437
p Fd(b)12 b Ff(\))150 2527 y Fg(ColumnVector)56 b(diag)47
5438
b Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)150 2637 y
5439
Fg(ColumnVector)56 b(diag)47 b Ff(\()p Fe(in)m(t)31 b
5440
Fd(k)12 b Ff(\))30 b Fe(const)150 2792 y Fg(ostream&)55
5441
b(operator)f(<<)47 b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p
5442
Fe(,)g(const)g(DiagMatrix)i(&)p Fd(a)12 b Ff(\))150 2947
5443
y Fg(ComplexMatrix)49 b Ff(\()p Fe(v)m(oid)p Ff(\))150
5444
3057 y Fg(ComplexMatrix)g Ff(\()p Fe(in)m(t)32 b Fd(r)p
5445
Fe(,)e(in)m(t)h Fd(c)12 b Ff(\))150 3166 y Fg(ComplexMatrix)49
5446
b Ff(\()p Fe(in)m(t)32 b Fd(r)p Fe(,)e(in)m(t)h Fd(c)p
5447
Fe(,)g(const)g(Complex)f(&)p Fd(val)12 b Ff(\))150 3276
5448
y Fg(ComplexMatrix)49 b Ff(\()p Fe(const)32 b(Matrix)f(&)p
5449
Fd(a)12 b Ff(\))150 3385 y Fg(ComplexMatrix)49 b Ff(\()p
5450
Fe(const)32 b(Arra)m(y2)p Fg(<)p Fe(Complex)p Fg(>)f
5451
Fe(&)p Fd(a)12 b Ff(\))150 3495 y Fg(ComplexMatrix)49
5452
b Ff(\()p Fe(const)32 b(ComplexMatrix)f(&)p Fd(a)12 b
5453
Ff(\))150 3605 y Fg(ComplexMatrix)49 b Ff(\()p Fe(const)32
5454
b(DiagMatrix)h(&)p Fd(a)12 b Ff(\))150 3714 y Fg(ComplexMatrix)49
5455
b Ff(\()p Fe(const)32 b(DiagArra)m(y)p Fg(<)p Fe(Complex)p
5456
Fg(>)g Fe(&)p Fd(a)12 b Ff(\))150 3824 y Fg(ComplexMatrix)49
5457
b Ff(\()p Fe(const)32 b(ComplexDiagMatrix)h(&)p Fd(a)12
5458
b Ff(\))150 3979 y Fg(ComplexMatrix&)57 b(operator)d(=)46
5459
b Ff(\()p Fe(const)31 b(ComplexMatrix)h(&)p Fd(a)12 b
5460
Ff(\))150 4134 y Fg(int)53 b(operator)i(==)46 b Ff(\()p
5461
Fe(const)31 b(ComplexMatrix)h(&)p Fd(a)12 b Ff(\))30
5462
b Fe(const)150 4244 y Fg(int)53 b(operator)i(!=)46 b
5463
Ff(\()p Fe(const)31 b(ComplexMatrix)h(&)p Fd(a)12 b Ff(\))30
5464
b Fe(const)150 4399 y Fg(ComplexMatrix&)57 b(insert)47
5465
b Ff(\()p Fe(const)31 b(Matrix)g(&)p Fd(a)p Fe(,)g(in)m(t)g
5466
Fd(r)p Fe(,)g(in)m(t)g Fd(c)12 b Ff(\))150 4509 y Fg(ComplexMatrix&)57
5467
b(insert)47 b Ff(\()p Fe(const)31 b(Ro)m(wV)-8 b(ector)33
5468
b(&)p Fd(a)p Fe(,)d(in)m(t)h Fd(r)p Fe(,)g(in)m(t)g Fd(c)12
5469
b Ff(\))150 4618 y Fg(ComplexMatrix&)57 b(insert)47 b
5470
Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)31 b(&)p Fd(a)p
5471
Fe(,)g(in)m(t)g Fd(r)p Fe(,)g(in)m(t)g Fd(c)12 b Ff(\))150
5472
4728 y Fg(ComplexMatrix&)57 b(insert)47 b Ff(\()p Fe(const)31
5473
b(DiagMatrix)i(&)p Fd(a)p Fe(,)e(in)m(t)f Fd(r)p Fe(,)h(in)m(t)g
5474
Fd(c)12 b Ff(\))150 4883 y Fg(ComplexMatrix&)57 b(insert)47
5475
b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p Fd(a)p Fe(,)g(in)m(t)g
5476
Fd(r)p Fe(,)g(in)m(t)g Fd(c)12 b Ff(\))150 4993 y Fg(ComplexMatrix&)57
5477
b(insert)47 b Ff(\()p Fe(const)31 b(ComplexRo)m(wV)-8
5478
b(ector)33 b(&)p Fd(a)p Fe(,)d(in)m(t)h Fd(r)p Fe(,)g(in)m(t)g
5479
Fd(c)12 b Ff(\))150 5102 y Fg(ComplexMatrix&)57 b(insert)47
5480
b Ff(\()p Fe(const)31 b(ComplexColumnV)-8 b(ector)31
5481
b(&)p Fd(a)p Fe(,)g(in)m(t)g Fd(r)p Fe(,)g(in)m(t)g Fd(c)12
5482
b Ff(\))150 5212 y Fg(ComplexMatrix&)57 b(insert)47 b
5483
Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p Fd(a)p
5484
Fe(,)e(in)m(t)f Fd(r)p Fe(,)h(in)m(t)g Fd(c)12 b Ff(\))150
5485
5367 y Fg(ComplexMatrix&)57 b(fill)46 b Ff(\()p Fe(double)31
5486
b Fd(val)12 b Ff(\))p eop end
5488
TeXDict begin 25 28 bop 150 -116 a Fp(Chapter)30 b(4:)41
5489
b(Matrix)31 b(and)f(V)-8 b(ector)32 b(Op)s(erations)1838
5490
b(25)150 299 y Fg(ComplexMatrix&)57 b(fill)46 b Ff(\()p
5491
Fe(const)31 b(Complex)g(&)p Fd(val)12 b Ff(\))150 408
5492
y Fg(ComplexMatrix&)57 b(fill)46 b Ff(\()p Fe(double)31
5493
b Fd(val)p Fe(,)g(in)m(t)g(r1,)f(in)m(t)h(c1,)h(in)m(t)f(r2,)f(in)m(t)h
5494
(c2)p Ff(\))150 518 y Fg(ComplexMatrix&)57 b(fill)46
5495
b Ff(\()p Fe(const)31 b(Complex)g(&)p Fd(val)p Fe(,)g(in)m(t)g(r1,)f
5496
(in)m(t)h(c1,)h(in)m(t)f(r2,)f(in)m(t)h(c2)p Ff(\))150
5497
677 y Fg(ComplexMatrix)56 b(append)48 b Ff(\()p Fe(const)31
5498
b(Matrix)g(&)p Fd(a)12 b Ff(\))30 b Fe(const)150 786
5499
y Fg(ComplexMatrix)56 b(append)48 b Ff(\()p Fe(const)31
5500
b(Ro)m(wV)-8 b(ector)32 b(&)p Fd(a)12 b Ff(\))31 b Fe(const)150
5501
896 y Fg(ComplexMatrix)56 b(append)48 b Ff(\()p Fe(const)31
5502
b(ColumnV)-8 b(ector)31 b(&)p Fd(a)12 b Ff(\))30 b Fe(const)150
5503
1005 y Fg(ComplexMatrix)56 b(append)48 b Ff(\()p Fe(const)31
5504
b(DiagMatrix)i(&)p Fd(a)12 b Ff(\))30 b Fe(const)150
5505
1164 y Fg(ComplexMatrix)56 b(append)48 b Ff(\()p Fe(const)31
5506
b(ComplexMatrix)g(&)p Fd(a)12 b Ff(\))30 b Fe(const)150
5507
1273 y Fg(ComplexMatrix)56 b(append)48 b Ff(\()p Fe(const)31
5508
b(ComplexRo)m(wV)-8 b(ector)32 b(&)p Fd(a)12 b Ff(\))31
5509
b Fe(const)150 1383 y Fg(ComplexMatrix)56 b(append)48
5510
b Ff(\()p Fe(const)31 b(ComplexColumnV)-8 b(ector)31
5511
b(&)p Fd(a)12 b Ff(\))30 b Fe(const)150 1493 y Fg(ComplexMatrix)56
5512
b(append)48 b Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p
5513
Fd(a)12 b Ff(\))30 b Fe(const)150 1651 y Fg(ComplexMatrix)56
5514
b(stack)47 b Ff(\()p Fe(const)31 b(Matrix)h(&)p Fd(a)12
5515
b Ff(\))30 b Fe(const)150 1761 y Fg(ComplexMatrix)56
5516
b(stack)47 b Ff(\()p Fe(const)31 b(Ro)m(wV)-8 b(ector)33
5517
b(&)p Fd(a)12 b Ff(\))30 b Fe(const)150 1870 y Fg(ComplexMatrix)56
5518
b(stack)47 b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)32
5519
b(&)p Fd(a)12 b Ff(\))30 b Fe(const)150 1980 y Fg(ComplexMatrix)56
5520
b(stack)47 b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p Fd(a)12
5521
b Ff(\))31 b Fe(const)150 2138 y Fg(ComplexMatrix)56
5522
b(stack)47 b Ff(\()p Fe(const)31 b(ComplexMatrix)h(&)p
5523
Fd(a)12 b Ff(\))30 b Fe(const)150 2248 y Fg(ComplexMatrix)56
5524
b(stack)47 b Ff(\()p Fe(const)31 b(ComplexRo)m(wV)-8
5525
b(ector)33 b(&)p Fd(a)12 b Ff(\))30 b Fe(const)150 2357
5526
y Fg(ComplexMatrix)56 b(stack)47 b Ff(\()p Fe(const)31
5527
b(ComplexColumnV)-8 b(ector)32 b(&)p Fd(a)12 b Ff(\))30
5528
b Fe(const)150 2467 y Fg(ComplexMatrix)56 b(stack)47
5529
b Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p Fd(a)12
5530
b Ff(\))31 b Fe(const)150 2626 y Fg(ComplexMatrix)56
5531
b(transpose)48 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150
5532
2784 y Fg(Matrix)54 b(real)47 b Ff(\()p Fe(const)31 b(ComplexMatrix)g
5533
(&)p Fd(a)12 b Ff(\))150 2894 y Fg(Matrix)54 b(imag)47
5534
b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p Fd(a)12 b
5535
Ff(\))150 3003 y Fg(ComplexMatrix)56 b(conj)47 b Ff(\()p
5536
Fe(const)31 b(ComplexMatrix)g(&)p Fd(a)12 b Ff(\))150
5537
3162 y Fg(ComplexMatrix)56 b(extract)48 b Ff(\()p Fe(in)m(t)31
5538
b(r1,)g(in)m(t)g(c1,)g(in)m(t)g(r2,)f(in)m(t)h(c2)p Ff(\))h
5539
Fe(const)150 3320 y Fg(ComplexRowVector)57 b(row)47 b
5540
Ff(\()p Fe(in)m(t)31 b Fd(i)12 b Ff(\))30 b Fe(const)150
5541
3430 y Fg(ComplexRowVector)57 b(row)47 b Ff(\()p Fe(c)m(har)31
5542
b(*s)p Ff(\))g Fe(const)150 3588 y Fg(ComplexColumnVector)58
5543
b(column)47 b Ff(\()p Fe(in)m(t)32 b Fd(i)12 b Ff(\))30
5544
b Fe(const)150 3698 y Fg(ComplexColumnVector)58 b(column)47
5545
b Ff(\()p Fe(c)m(har)31 b(*s)p Ff(\))g Fe(const)150 3856
5546
y Fg(ComplexMatrix)56 b(inverse)48 b Ff(\()p Fe(v)m(oid)p
5547
Ff(\))32 b Fe(const)150 3966 y Fg(ComplexMatrix)56 b(inverse)48
5548
b Ff(\()p Fe(in)m(t)31 b(&)p Fd(info)12 b Ff(\))31 b
5549
Fe(const)150 4076 y Fg(ComplexMatrix)56 b(inverse)48
5550
b Ff(\()p Fe(in)m(t)31 b(&)p Fd(info)p Fe(,)h(double)d(&)p
5551
Fd(rcond)12 b Ff(\))32 b Fe(const)150 4234 y Fg(ComplexMatrix)56
5552
b(fourier)48 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150
5553
4344 y Fg(ComplexMatrix)56 b(ifourier)48 b Ff(\()p Fe(v)m(oid)p
5554
Ff(\))32 b Fe(const)150 4502 y Fg(ComplexDET)55 b(determinant)49
5555
b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 4612 y
5556
Fg(ComplexDET)55 b(determinant)49 b Ff(\()p Fe(in)m(t)31
5557
b(&)p Fd(info)12 b Ff(\))31 b Fe(const)150 4721 y Fg(ComplexDET)55
5558
b(determinant)49 b Ff(\()p Fe(in)m(t)31 b(&)p Fd(info)p
5559
Fe(,)h(double)e(&)p Fd(rcond)12 b Ff(\))31 b Fe(const)150
5560
4880 y Fg(ComplexMatrix)56 b(solve)47 b Ff(\()p Fe(const)31
5561
b(Matrix)h(&)p Fd(b)12 b Ff(\))30 b Fe(const)150 4989
5562
y Fg(ComplexMatrix)56 b(solve)47 b Ff(\()p Fe(const)31
5563
b(Matrix)h(&)p Fd(b)p Fe(,)e(in)m(t)h(&)p Fd(info)12
5564
b Ff(\))31 b Fe(const)150 5099 y Fg(ComplexMatrix)56
5565
b(solve)47 b Ff(\()p Fe(const)31 b(Matrix)h(&)p Fd(b)p
5566
Fe(,)e(in)m(t)h(&)p Fd(info)p Fe(,)h(double)e(&)p Fd(rcond)12
5567
b Ff(\))31 b Fe(const)150 5257 y Fg(ComplexMatrix)56
5568
b(solve)47 b Ff(\()p Fe(const)31 b(ComplexMatrix)h(&)p
5569
Fd(b)12 b Ff(\))30 b Fe(const)150 5367 y Fg(ComplexMatrix)56
5570
b(solve)47 b Ff(\()p Fe(const)31 b(ComplexMatrix)h(&)p
5571
Fd(b)p Fe(,)e(in)m(t)h(&)p Fd(info)12 b Ff(\))31 b Fe(const)p
5574
TeXDict begin 26 29 bop 150 -116 a Fp(Chapter)30 b(4:)41
5575
b(Matrix)31 b(and)f(V)-8 b(ector)32 b(Op)s(erations)1838
5576
b(26)150 299 y Fg(ComplexMatrix)56 b(solve)47 b Ff(\()p
5577
Fe(const)31 b(ComplexMatrix)h(&)p Fd(b)p Fe(,)e(in)m(t)h(&)p
5578
Fd(info)p Fe(,)h(double)e(&)p Fd(rcond)12 b Ff(\))565
5579
408 y Fe(const)150 575 y Fg(ComplexColumnVector)58 b(solve)47
5580
b Ff(\()p Fe(const)31 b(ComplexColumnV)-8 b(ector)32
5581
b(&)p Fd(b)12 b Ff(\))30 b Fe(const)150 685 y Fg(ComplexColumnVector)58
5582
b(solve)47 b Ff(\()p Fe(const)29 b(ComplexColumnV)-8
5583
b(ector)29 b(&)p Fd(b)p Fe(,)g(in)m(t)g(&)p Fd(info)12
5584
b Ff(\))29 b Fe(const)150 794 y Fg(ComplexColumnVector)58
5585
b(solve)47 b Ff(\()p Fe(const)31 b(ComplexColumnV)-8
5586
b(ector)32 b(&)p Fd(b)p Fe(,)e(in)m(t)h(&)p Fd(info)p
5587
Fe(,)565 904 y(double)f(&)p Fd(rcond)12 b Ff(\))31 b
5588
Fe(const)150 1070 y Fg(ComplexMatrix)56 b(lssolve)48
5589
b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p Fd(b)12 b
5590
Ff(\))31 b Fe(const)150 1180 y Fg(ComplexMatrix)56 b(lssolve)48
5591
b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p Fd(b)p Fe(,)g(in)m(t)g(&)p
5592
Fd(info)12 b Ff(\))31 b Fe(const)150 1290 y Fg(ComplexMatrix)56
5593
b(lssolve)48 b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p
5594
Fd(b)p Fe(,)g(in)m(t)g(&)p Fd(info)p Fe(,)g(in)m(t)g(&)p
5595
Fd(rank)12 b Ff(\))31 b Fe(const)150 1456 y Fg(ComplexColumnVector)58
5596
b(lssolve)48 b Ff(\()p Fe(const)31 b(ComplexColumnV)-8
5597
b(ector)31 b(&)p Fd(b)12 b Ff(\))30 b Fe(const)150 1566
5598
y Fg(ComplexColumnVector)58 b(lssolve)48 b Ff(\()p Fe(const)31
5599
b(ComplexColumnV)-8 b(ector)31 b(&)p Fd(b)p Fe(,)g(in)m(t)g(&)p
5600
Fd(info)12 b Ff(\))565 1675 y Fe(const)150 1785 y Fg
5601
(ComplexColumnVector)58 b(lssolve)48 b Ff(\()p Fe(const)31
5602
b(ComplexColumnV)-8 b(ector)31 b(&)p Fd(b)p Fe(,)g(in)m(t)g(&)p
5603
Fd(info)p Fe(,)g(in)m(t)565 1894 y(&)p Fd(rank)12 b Ff(\))31
5604
b Fe(const)150 2061 y Fg(ComplexMatrix&)57 b(operator)d(+=)46
5605
b Ff(\()p Fe(const)32 b(DiagMatrix)g(&)p Fd(a)12 b Ff(\))150
5606
2171 y Fg(ComplexMatrix&)57 b(operator)d(-=)46 b Ff(\()p
5607
Fe(const)32 b(DiagMatrix)g(&)p Fd(a)12 b Ff(\))150 2337
5608
y Fg(ComplexMatrix&)57 b(operator)d(+=)46 b Ff(\()p Fe(const)32
5609
b(ComplexDiagMatrix)g(&)p Fd(a)12 b Ff(\))150 2447 y
5610
Fg(ComplexMatrix&)57 b(operator)d(-=)46 b Ff(\()p Fe(const)32
5611
b(ComplexDiagMatrix)g(&)p Fd(a)12 b Ff(\))150 2613 y
5612
Fg(ComplexMatrix&)57 b(operator)d(+=)46 b Ff(\()p Fe(const)32
5613
b(Matrix)f(&)p Fd(a)12 b Ff(\))150 2723 y Fg(ComplexMatrix&)57
5614
b(operator)d(-=)46 b Ff(\()p Fe(const)32 b(Matrix)f(&)p
5615
Fd(a)12 b Ff(\))150 2890 y Fg(ComplexMatrix&)57 b(operator)d(+=)46
5616
b Ff(\()p Fe(const)32 b(ComplexMatrix)f(&)p Fd(a)12 b
5617
Ff(\))150 2999 y Fg(ComplexMatrix&)57 b(operator)d(-=)46
5618
b Ff(\()p Fe(const)32 b(ComplexMatrix)f(&)p Fd(a)12 b
5619
Ff(\))150 3166 y Fg(Matrix)54 b(operator)h(!)46 b Ff(\()p
5620
Fe(v)m(oid)p Ff(\))31 b Fe(const)150 3332 y Fg(ComplexMatrix)56
5621
b(operator)f(+)46 b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p
5622
Fd(a)p Fe(,)g(double)f Fd(s)12 b Ff(\))150 3442 y Fg(ComplexMatrix)56
5623
b(operator)f(-)46 b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p
5624
Fd(a)p Fe(,)g(double)f Fd(s)12 b Ff(\))150 3551 y Fg(ComplexMatrix)56
5625
b(operator)f(*)46 b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p
5626
Fd(a)p Fe(,)g(double)f Fd(s)12 b Ff(\))150 3661 y Fg(ComplexMatrix)56
5627
b(operator)f(/)46 b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p
5628
Fd(a)p Fe(,)g(double)f Fd(s)12 b Ff(\))150 3828 y Fg(ComplexMatrix)56
5629
b(operator)f(+)46 b Ff(\()p Fe(double)30 b Fd(s)p Fe(,)h(const)g
5630
(ComplexMatrix)g(&)p Fd(a)12 b Ff(\))150 3937 y Fg(ComplexMatrix)56
5631
b(operator)f(-)46 b Ff(\()p Fe(double)30 b Fd(s)p Fe(,)h(const)g
5632
(ComplexMatrix)g(&)p Fd(a)12 b Ff(\))150 4047 y Fg(ComplexMatrix)56
5633
b(operator)f(*)46 b Ff(\()p Fe(double)30 b Fd(s)p Fe(,)h(const)g
5634
(ComplexMatrix)g(&)p Fd(a)12 b Ff(\))150 4156 y Fg(ComplexMatrix)56
5635
b(operator)f(/)46 b Ff(\()p Fe(double)30 b Fd(s)p Fe(,)h(const)g
5636
(ComplexMatrix)g(&)p Fd(a)12 b Ff(\))150 4323 y Fg(ComplexColumnVector)
5637
58 b(operator)d(*)46 b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p
5638
Fd(a)p Fe(,)g(const)565 4433 y(ColumnV)-8 b(ector)31
5639
b(&)p Fd(b)12 b Ff(\))150 4599 y Fg(ComplexColumnVector)58
5640
b(operator)d(*)46 b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p
5641
Fd(a)p Fe(,)g(const)565 4709 y(ComplexColumnV)-8 b(ector)31
5642
b(&)p Fd(b)12 b Ff(\))150 4875 y Fg(ComplexMatrix)56
5643
b(operator)f(+)46 b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p
5644
Fd(a)p Fe(,)g(const)g(DiagMatrix)i(&)p Fd(b)12 b Ff(\))150
5645
4985 y Fg(ComplexMatrix)56 b(operator)f(-)46 b Ff(\()p
5646
Fe(const)31 b(ComplexMatrix)g(&)p Fd(a)p Fe(,)g(const)g(DiagMatrix)i(&)
5647
p Fd(b)12 b Ff(\))150 5094 y Fg(ComplexMatrix)56 b(operator)f(*)46
5648
b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p Fd(a)p Fe(,)g(const)g
5649
(DiagMatrix)i(&)p Fd(b)12 b Ff(\))150 5261 y Fg(ComplexMatrix)56
5650
b(operator)f(+)46 b Ff(\()p Fe(const)30 b(ComplexMatrix)g(&)p
5651
Fd(a)p Fe(,)g(const)g(ComplexDiagMatrix)565 5371 y(&)p
5652
Fd(b)12 b Ff(\))p eop end
5654
TeXDict begin 27 30 bop 150 -116 a Fp(Chapter)30 b(4:)41
5655
b(Matrix)31 b(and)f(V)-8 b(ector)32 b(Op)s(erations)1838
5656
b(27)150 299 y Fg(ComplexMatrix)56 b(operator)f(-)46
5657
b Ff(\()p Fe(const)30 b(ComplexMatrix)g(&)p Fd(a)p Fe(,)g(const)g
5658
(ComplexDiagMatrix)565 408 y(&)p Fd(b)12 b Ff(\))150
5659
518 y Fg(ComplexMatrix)56 b(operator)f(*)46 b Ff(\()p
5660
Fe(const)30 b(ComplexMatrix)g(&)p Fd(a)p Fe(,)g(const)g
5661
(ComplexDiagMatrix)565 628 y(&)p Fd(b)12 b Ff(\))150
5662
783 y Fg(ComplexMatrix)56 b(operator)f(+)46 b Ff(\()p
5663
Fe(const)31 b(ComplexMatrix)g(&)p Fd(a)p Fe(,)g(const)g(Matrix)g(&)p
5664
Fd(b)12 b Ff(\))150 892 y Fg(ComplexMatrix)56 b(operator)f(-)46
5665
b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p Fd(a)p Fe(,)g(const)g
5666
(Matrix)g(&)p Fd(b)12 b Ff(\))150 1048 y Fg(ComplexMatrix)56
5667
b(operator)f(*)46 b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p
5668
Fd(a)p Fe(,)g(const)g(Matrix)g(&)p Fd(b)12 b Ff(\))150
5669
1157 y Fg(ComplexMatrix)56 b(operator)f(*)46 b Ff(\()p
5670
Fe(const)31 b(ComplexMatrix)g(&)p Fd(a)p Fe(,)g(const)g(ComplexMatrix)
5671
565 1267 y(&)p Fd(b)12 b Ff(\))150 1422 y Fg(ComplexMatrix)56
5672
b(product)48 b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p
5673
Fd(a)p Fe(,)g(const)g(Matrix)g(&)p Fd(b)12 b Ff(\))150
5674
1532 y Fg(ComplexMatrix)56 b(quotient)48 b Ff(\()p Fe(const)31
5675
b(ComplexMatrix)h(&)p Fd(a)p Fe(,)e(const)h(Matrix)g(&)p
5676
Fd(b)12 b Ff(\))150 1687 y Fg(ComplexMatrix)56 b(map)47
5677
b Ff(\()p Fe(c)p 1166 1687 28 4 v 40 w(c)p 1246 1687
5678
V 41 w(Mapp)s(er)29 b Fd(f)p Fe(,)i(const)g(ComplexMatrix)g(&)p
5679
Fd(a)12 b Ff(\))150 1797 y Fg(Matrix)54 b(map)46 b Ff(\()p
5680
Fe(d)p 810 1797 V 40 w(c)p 890 1797 V 41 w(Mapp)s(er)29
5681
b Fd(f)p Fe(,)i(const)g(ComplexMatrix)g(&)p Fd(a)12 b
5682
Ff(\))150 1906 y Fg(void)54 b(map)46 b Ff(\()p Fe(c)p
5683
695 1906 V 41 w(c)p 776 1906 V 40 w(Mapp)s(er)30 b Fd(f)12
5684
b Ff(\))150 2061 y Fg(Matrix)54 b(all)46 b Ff(\()p Fe(v)m(oid)p
5685
Ff(\))32 b Fe(const)150 2171 y Fg(Matrix)54 b(any)46
5686
b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 2326 y
5687
Fg(ComplexMatrix)56 b(cumprod)48 b Ff(\()p Fe(v)m(oid)p
5688
Ff(\))32 b Fe(const)150 2436 y Fg(ComplexMatrix)56 b(cumsum)48
5689
b Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)150 2545 y
5690
Fg(ComplexMatrix)56 b(prod)47 b Ff(\()p Fe(v)m(oid)p
5691
Ff(\))32 b Fe(const)150 2655 y Fg(ComplexMatrix)56 b(sum)47
5692
b Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)150 2765 y
5693
Fg(ComplexMatrix)56 b(sumsq)47 b Ff(\()p Fe(v)m(oid)p
5694
Ff(\))32 b Fe(const)150 2920 y Fg(ComplexColumnVector)58
5695
b(diag)47 b Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)150
5696
3029 y Fg(ComplexColumnVector)58 b(diag)47 b Ff(\()p
5697
Fe(in)m(t)31 b Fd(k)12 b Ff(\))30 b Fe(const)150 3185
5698
y Fg(ComplexColumnVector)58 b(row_min)48 b Ff(\()p Fe(v)m(oid)p
5699
Ff(\))31 b Fe(const)150 3294 y Fg(ComplexColumnVector)58
5700
b(row_min_loc)49 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150
5701
3449 y Fg(ComplexColumnVector)58 b(row_max)48 b Ff(\()p
5702
Fe(v)m(oid)p Ff(\))31 b Fe(const)150 3559 y Fg(ComplexColumnVector)58
5703
b(row_max_loc)49 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150
5704
3714 y Fg(ComplexRowVector)57 b(column_min)49 b Ff(\()p
5705
Fe(v)m(oid)p Ff(\))31 b Fe(const)150 3824 y Fg(ComplexRowVector)57
5706
b(column_min_loc)50 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b
5707
Fe(const)150 3979 y Fg(ComplexRowVector)57 b(column_max)49
5708
b Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)150 4089 y
5709
Fg(ComplexRowVector)57 b(column_max_loc)50 b Ff(\()p
5710
Fe(v)m(oid)p Ff(\))32 b Fe(const)150 4244 y Fg(ostream&)55
5711
b(operator)f(<<)47 b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p
5712
Fe(,)g(const)g(ComplexMatrix)g(&)p Fd(a)12 b Ff(\))150
5713
4353 y Fg(istream&)55 b(operator)f(>>)47 b Ff(\()p Fe(istream)31
5714
b(&)p Fd(is)p Fe(,)g(ComplexMatrix)g(&)p Fd(a)12 b Ff(\))150
5715
4509 y Fg(ComplexColumnVector)51 b Ff(\()p Fe(v)m(oid)p
5716
Ff(\))150 4618 y Fg(ComplexColumnVector)g Ff(\()p Fe(in)m(t)31
5717
b Fd(n)12 b Ff(\))150 4728 y Fg(ComplexColumnVector)51
5718
b Ff(\()p Fe(in)m(t)31 b Fd(n)p Fe(,)g(const)g(Complex)g(&)p
5719
Fd(val)12 b Ff(\))150 4837 y Fg(ComplexColumnVector)51
5720
b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)32 b(&)p Fd(a)12
5721
b Ff(\))150 4947 y Fg(ComplexColumnVector)51 b Ff(\()p
5722
Fe(const)31 b(Arra)m(y)p Fg(<)p Fe(Complex)p Fg(>)h Fe(&)p
5723
Fd(a)12 b Ff(\))150 5057 y Fg(ComplexColumnVector)51
5724
b Ff(\()p Fe(const)31 b(ComplexColumnV)-8 b(ector)32
5725
b(&)p Fd(a)12 b Ff(\))150 5212 y Fg(ComplexColumnVector&)58
5726
b(operator)d(=)46 b Ff(\()p Fe(const)31 b(ComplexColumnV)-8
5727
b(ector)31 b(&)p Fd(a)12 b Ff(\))150 5367 y Fg(int)53
5728
b(operator)i(==)46 b Ff(\()p Fe(const)31 b(ComplexColumnV)-8
5729
b(ector)32 b(&)p Fd(a)12 b Ff(\))30 b Fe(const)p eop
5732
TeXDict begin 28 31 bop 150 -116 a Fp(Chapter)30 b(4:)41
5733
b(Matrix)31 b(and)f(V)-8 b(ector)32 b(Op)s(erations)1838
5734
b(28)150 299 y Fg(int)53 b(operator)i(!=)46 b Ff(\()p
5735
Fe(const)31 b(ComplexColumnV)-8 b(ector)32 b(&)p Fd(a)12
5736
b Ff(\))30 b Fe(const)150 462 y Fg(ComplexColumnVector&)58
5737
b(insert)48 b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)31
5738
b(&)p Fd(a)p Fe(,)g(in)m(t)g Fd(r)12 b Ff(\))150 571
5739
y Fg(ComplexColumnVector&)58 b(insert)48 b Ff(\()p Fe(const)31
5740
b(ComplexColumnV)-8 b(ector)31 b(&)p Fd(a)p Fe(,)g(in)m(t)g
5741
Fd(r)12 b Ff(\))150 734 y Fg(ComplexColumnVector&)58
5742
b(fill)47 b Ff(\()p Fe(double)30 b Fd(val)12 b Ff(\))150
5743
843 y Fg(ComplexColumnVector&)58 b(fill)47 b Ff(\()p
5744
Fe(const)31 b(Complex)g(&)p Fd(val)12 b Ff(\))150 953
5745
y Fg(ComplexColumnVector&)58 b(fill)47 b Ff(\()p Fe(double)30
5746
b Fd(val)p Fe(,)i(in)m(t)f(r1,)f(in)m(t)h(r2)p Ff(\))150
5747
1063 y Fg(ComplexColumnVector&)58 b(fill)47 b Ff(\()p
5748
Fe(const)31 b(Complex)g(&)p Fd(val)p Fe(,)g(in)m(t)g(r1,)f(in)m(t)h(r2)
5749
p Ff(\))150 1225 y Fg(ComplexColumnVector)58 b(stack)47
5750
b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)32 b(&)p Fd(a)12
5751
b Ff(\))30 b Fe(const)150 1335 y Fg(ComplexColumnVector)58
5752
b(stack)47 b Ff(\()p Fe(const)31 b(ComplexColumnV)-8
5753
b(ector)32 b(&)p Fd(a)12 b Ff(\))30 b Fe(const)150 1497
5754
y Fg(ComplexRowVector)57 b(transpose)48 b Ff(\()p Fe(v)m(oid)p
5755
Ff(\))32 b Fe(const)150 1660 y Fg(ColumnVector)56 b(real)47
5756
b Ff(\()p Fe(const)31 b(ComplexColumnV)-8 b(ector)31
5757
b(&)p Fd(a)12 b Ff(\))150 1770 y Fg(ColumnVector)56 b(imag)47
5758
b Ff(\()p Fe(const)31 b(ComplexColumnV)-8 b(ector)31
5759
b(&)p Fd(a)12 b Ff(\))150 1879 y Fg(ComplexColumnVector)58
5760
b(conj)47 b Ff(\()p Fe(const)31 b(ComplexColumnV)-8 b(ector)31
5761
b(&)p Fd(a)12 b Ff(\))150 2042 y Fg(ComplexColumnVector)58
5762
b(extract)48 b Ff(\()p Fe(in)m(t)31 b(r1,)g(in)m(t)f(r2)p
5763
Ff(\))h Fe(const)150 2205 y Fg(ComplexColumnVector&)58
5764
b(operator)d(+=)46 b Ff(\()p Fe(const)31 b(ColumnV)-8
5765
b(ector)32 b(&)p Fd(a)12 b Ff(\))150 2314 y Fg(ComplexColumnVector&)58
5766
b(operator)d(-=)46 b Ff(\()p Fe(const)31 b(ColumnV)-8
5767
b(ector)32 b(&)p Fd(a)12 b Ff(\))150 2477 y Fg(ComplexColumnVector&)58
5768
b(operator)d(+=)46 b Ff(\()p Fe(const)31 b(ComplexColumnV)-8
5769
b(ector)32 b(&)p Fd(a)12 b Ff(\))150 2586 y Fg(ComplexColumnVector&)58
5770
b(operator)d(-=)46 b Ff(\()p Fe(const)31 b(ComplexColumnV)-8
5771
b(ector)32 b(&)p Fd(a)12 b Ff(\))150 2749 y Fg(ComplexColumnVector)58
5772
b(operator)d(+)46 b Ff(\()p Fe(const)31 b(ComplexColumnV)-8
5773
b(ector)31 b(&)p Fd(a)p Fe(,)g(double)f Fd(s)12 b Ff(\))150
5774
2859 y Fg(ComplexColumnVector)58 b(operator)d(-)46 b
5775
Ff(\()p Fe(const)31 b(ComplexColumnV)-8 b(ector)31 b(&)p
5776
Fd(a)p Fe(,)g(double)f Fd(s)12 b Ff(\))150 2968 y Fg
5777
(ComplexColumnVector)58 b(operator)d(*)46 b Ff(\()p Fe(const)31
5778
b(ComplexColumnV)-8 b(ector)31 b(&)p Fd(a)p Fe(,)g(double)f
5779
Fd(s)12 b Ff(\))150 3078 y Fg(ComplexColumnVector)58
5780
b(operator)d(/)46 b Ff(\()p Fe(const)31 b(ComplexColumnV)-8
5781
b(ector)31 b(&)p Fd(a)p Fe(,)g(double)f Fd(s)12 b Ff(\))150
5782
3240 y Fg(ComplexColumnVector)58 b(operator)d(+)46 b
5783
Ff(\()p Fe(double)30 b Fd(s)p Fe(,)h(const)g(ComplexColumnV)-8
5784
b(ector)31 b(&)p Fd(a)12 b Ff(\))150 3350 y Fg(ComplexColumnVector)58
5785
b(operator)d(-)46 b Ff(\()p Fe(double)30 b Fd(s)p Fe(,)h(const)g
5786
(ComplexColumnV)-8 b(ector)31 b(&)p Fd(a)12 b Ff(\))150
5787
3460 y Fg(ComplexColumnVector)58 b(operator)d(*)46 b
5788
Ff(\()p Fe(double)30 b Fd(s)p Fe(,)h(const)g(ComplexColumnV)-8
5789
b(ector)31 b(&)p Fd(a)12 b Ff(\))150 3569 y Fg(ComplexColumnVector)58
5790
b(operator)d(/)46 b Ff(\()p Fe(double)30 b Fd(s)p Fe(,)h(const)g
5791
(ComplexColumnV)-8 b(ector)31 b(&)p Fd(a)12 b Ff(\))150
5792
3732 y Fg(ComplexMatrix)56 b(operator)f(*)46 b Ff(\()p
5793
Fe(const)31 b(ComplexColumnV)-8 b(ector)31 b(&)p Fd(a)p
5794
Fe(,)g(const)565 3841 y(ComplexRo)m(wV)-8 b(ector)33
5795
b(&)p Fd(b)12 b Ff(\))150 4004 y Fg(ComplexColumnVector)58
5796
b(operator)d(+)46 b Ff(\()p Fe(const)31 b(ComplexColumnV)-8
5797
b(ector)31 b(&)p Fd(a)p Fe(,)g(const)565 4114 y(ColumnV)-8
5798
b(ector)31 b(&)p Fd(b)12 b Ff(\))150 4223 y Fg(ComplexColumnVector)58
5799
b(operator)d(-)46 b Ff(\()p Fe(const)31 b(ComplexColumnV)-8
5800
b(ector)31 b(&)p Fd(a)p Fe(,)g(const)565 4333 y(ColumnV)-8
5801
b(ector)31 b(&)p Fd(b)12 b Ff(\))150 4495 y Fg(ComplexColumnVector)58
5802
b(product)48 b Ff(\()p Fe(const)31 b(ComplexColumnV)-8
5803
b(ector)31 b(&)p Fd(a)p Fe(,)g(const)565 4605 y(ColumnV)-8
5804
b(ector)31 b(&)p Fd(b)12 b Ff(\))150 4715 y Fg(ComplexColumnVector)58
5805
b(quotient)48 b Ff(\()p Fe(const)31 b(ComplexColumnV)-8
5806
b(ector)31 b(&)p Fd(a)p Fe(,)g(const)565 4824 y(ColumnV)-8
5807
b(ector)31 b(&)p Fd(b)12 b Ff(\))150 4987 y Fg(ComplexColumnVector)58
5808
b(map)46 b Ff(\()p Fe(c)p 1479 4987 28 4 v 41 w(c)p 1560
5809
4987 V 41 w(Mapp)s(er)29 b Fd(f)p Fe(,)i(const)g(ComplexColumnV)-8
5810
b(ector)31 b(&)p Fd(a)12 b Ff(\))150 5096 y Fg(ColumnVector)56
5811
b(map)46 b Ff(\()p Fe(d)p 1124 5096 V 40 w(c)p 1204 5096
5812
V 41 w(Mapp)s(er)29 b Fd(f)p Fe(,)i(const)g(ComplexColumnV)-8
5813
b(ector)31 b(&)p Fd(a)12 b Ff(\))150 5206 y Fg(void)54
5814
b(map)46 b Ff(\()p Fe(c)p 695 5206 V 41 w(c)p 776 5206
5815
V 40 w(Mapp)s(er)30 b Fd(f)12 b Ff(\))150 5369 y Fg(Complex)54
5816
b(min)47 b Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)p
5819
TeXDict begin 29 32 bop 150 -116 a Fp(Chapter)30 b(4:)41
5820
b(Matrix)31 b(and)f(V)-8 b(ector)32 b(Op)s(erations)1838
5821
b(29)150 299 y Fg(Complex)54 b(max)47 b Ff(\()p Fe(v)m(oid)p
5822
Ff(\))31 b Fe(const)150 465 y Fg(ostream&)55 b(operator)f(<<)47
5823
b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p Fe(,)g(const)g(ComplexColumnV)-8
5824
b(ector)31 b(&)p Fd(a)12 b Ff(\))150 631 y Fg(ComplexRowVector)50
5825
b Ff(\()p Fe(v)m(oid)p Ff(\))150 741 y Fg(ComplexRowVector)g
5826
Ff(\()p Fe(in)m(t)32 b Fd(n)12 b Ff(\))150 851 y Fg(ComplexRowVector)50
5827
b Ff(\()p Fe(in)m(t)32 b Fd(n)p Fe(,)e(const)h(Complex)g(&)p
5828
Fd(val)12 b Ff(\))150 960 y Fg(ComplexRowVector)50 b
5829
Ff(\()p Fe(const)32 b(Ro)m(wV)-8 b(ector)32 b(&)p Fd(a)12
5830
b Ff(\))150 1070 y Fg(ComplexRowVector)50 b Ff(\()p Fe(const)32
5831
b(Arra)m(y)p Fg(<)p Fe(Complex)p Fg(>)f Fe(&)p Fd(a)12
5832
b Ff(\))150 1179 y Fg(ComplexRowVector)50 b Ff(\()p Fe(const)32
5833
b(ComplexRo)m(wV)-8 b(ector)32 b(&)p Fd(a)12 b Ff(\))150
5834
1346 y Fg(ComplexRowVector&)57 b(operator)e(=)46 b Ff(\()p
5835
Fe(const)31 b(ComplexRo)m(wV)-8 b(ector)33 b(&)p Fd(a)12
5836
b Ff(\))150 1512 y Fg(int)53 b(operator)i(==)46 b Ff(\()p
5837
Fe(const)31 b(ComplexRo)m(wV)-8 b(ector)33 b(&)p Fd(a)12
5838
b Ff(\))30 b Fe(const)150 1622 y Fg(int)53 b(operator)i(!=)46
5839
b Ff(\()p Fe(const)31 b(ComplexRo)m(wV)-8 b(ector)33
5840
b(&)p Fd(a)12 b Ff(\))30 b Fe(const)150 1788 y Fg(ComplexRowVector&)57
5841
b(insert)48 b Ff(\()p Fe(const)31 b(Ro)m(wV)-8 b(ector)33
5842
b(&)p Fd(a)p Fe(,)d(in)m(t)h Fd(c)12 b Ff(\))150 1897
5843
y Fg(ComplexRowVector&)57 b(insert)48 b Ff(\()p Fe(const)31
5844
b(ComplexRo)m(wV)-8 b(ector)33 b(&)p Fd(a)p Fe(,)d(in)m(t)h
5845
Fd(c)12 b Ff(\))150 2064 y Fg(ComplexRowVector&)57 b(fill)47
5846
b Ff(\()p Fe(double)30 b Fd(val)12 b Ff(\))150 2173 y
5847
Fg(ComplexRowVector&)57 b(fill)47 b Ff(\()p Fe(const)31
5848
b(Complex)g(&)p Fd(val)12 b Ff(\))150 2283 y Fg(ComplexRowVector&)57
5849
b(fill)47 b Ff(\()p Fe(double)30 b Fd(val)p Fe(,)i(in)m(t)f(c1,)g(in)m
5850
(t)g(c2)p Ff(\))150 2393 y Fg(ComplexRowVector&)57 b(fill)47
5851
b Ff(\()p Fe(const)31 b(Complex)g(&)p Fd(val)p Fe(,)g(in)m(t)g(c1,)g
5852
(in)m(t)g(c2)p Ff(\))150 2559 y Fg(ComplexRowVector)57
5853
b(append)47 b Ff(\()p Fe(const)32 b(Ro)m(wV)-8 b(ector)32
5854
b(&)p Fd(a)12 b Ff(\))30 b Fe(const)150 2668 y Fg(ComplexRowVector)57
5855
b(append)47 b Ff(\()p Fe(const)32 b(ComplexRo)m(wV)-8
5856
b(ector)32 b(&)p Fd(a)12 b Ff(\))31 b Fe(const)150 2835
5857
y Fg(ComplexColumnVector)58 b(transpose)48 b Ff(\()p
5858
Fe(v)m(oid)p Ff(\))32 b Fe(const)150 3001 y Fg(RowVector)55
5859
b(real)47 b Ff(\()p Fe(const)31 b(ComplexRo)m(wV)-8 b(ector)33
5860
b(&)p Fd(a)12 b Ff(\))150 3111 y Fg(RowVector)55 b(imag)47
5861
b Ff(\()p Fe(const)31 b(ComplexRo)m(wV)-8 b(ector)33
5862
b(&)p Fd(a)12 b Ff(\))150 3220 y Fg(ComplexRowVector)57
5863
b(conj)47 b Ff(\()p Fe(const)31 b(ComplexRo)m(wV)-8 b(ector)33
5864
b(&)p Fd(a)12 b Ff(\))150 3386 y Fg(ComplexRowVector)57
5865
b(extract)48 b Ff(\()p Fe(in)m(t)31 b(c1,)g(in)m(t)g(c2)p
5866
Ff(\))h Fe(const)150 3553 y Fg(ComplexRowVector&)57 b(operator)e(+=)46
5867
b Ff(\()p Fe(const)31 b(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)12
5868
b Ff(\))150 3662 y Fg(ComplexRowVector&)57 b(operator)e(-=)46
5869
b Ff(\()p Fe(const)31 b(Ro)m(wV)-8 b(ector)33 b(&)p Fd(a)12
5870
b Ff(\))150 3829 y Fg(ComplexRowVector&)57 b(operator)e(+=)46
5871
b Ff(\()p Fe(const)31 b(ComplexRo)m(wV)-8 b(ector)33
5872
b(&)p Fd(a)12 b Ff(\))150 3938 y Fg(ComplexRowVector&)57
5873
b(operator)e(-=)46 b Ff(\()p Fe(const)31 b(ComplexRo)m(wV)-8
5874
b(ector)33 b(&)p Fd(a)12 b Ff(\))150 4105 y Fg(ComplexRowVector)57
5875
b(operator)e(+)46 b Ff(\()p Fe(const)31 b(ComplexRo)m(wV)-8
5876
b(ector)33 b(&)p Fd(a)p Fe(,)d(double)g Fd(s)12 b Ff(\))150
5877
4214 y Fg(ComplexRowVector)57 b(operator)e(-)46 b Ff(\()p
5878
Fe(const)31 b(ComplexRo)m(wV)-8 b(ector)33 b(&)p Fd(a)p
5879
Fe(,)d(double)g Fd(s)12 b Ff(\))150 4324 y Fg(ComplexRowVector)57
5880
b(operator)e(*)46 b Ff(\()p Fe(const)31 b(ComplexRo)m(wV)-8
5881
b(ector)33 b(&)p Fd(a)p Fe(,)d(double)g Fd(s)12 b Ff(\))150
5882
4433 y Fg(ComplexRowVector)57 b(operator)e(/)46 b Ff(\()p
5883
Fe(const)31 b(ComplexRo)m(wV)-8 b(ector)33 b(&)p Fd(a)p
5884
Fe(,)d(double)g Fd(s)12 b Ff(\))150 4600 y Fg(ComplexRowVector)57
5885
b(operator)e(+)46 b Ff(\()p Fe(double)30 b Fd(s)p Fe(,)h(const)g
5886
(ComplexRo)m(wV)-8 b(ector)32 b(&)p Fd(a)12 b Ff(\))150
5887
4709 y Fg(ComplexRowVector)57 b(operator)e(-)46 b Ff(\()p
5888
Fe(double)30 b Fd(s)p Fe(,)h(const)g(ComplexRo)m(wV)-8
5889
b(ector)32 b(&)p Fd(a)12 b Ff(\))150 4819 y Fg(ComplexRowVector)57
5890
b(operator)e(*)46 b Ff(\()p Fe(double)30 b Fd(s)p Fe(,)h(const)g
5891
(ComplexRo)m(wV)-8 b(ector)32 b(&)p Fd(a)12 b Ff(\))150
5892
4928 y Fg(ComplexRowVector)57 b(operator)e(/)46 b Ff(\()p
5893
Fe(double)30 b Fd(s)p Fe(,)h(const)g(ComplexRo)m(wV)-8
5894
b(ector)32 b(&)p Fd(a)12 b Ff(\))150 5095 y Fg(Complex)54
5895
b(operator)h(*)46 b Ff(\()p Fe(const)31 b(ComplexRo)m(wV)-8
5896
b(ector)33 b(&)p Fd(a)p Fe(,)d(const)h(ColumnV)-8 b(ector)32
5897
b(&)p Fd(b)12 b Ff(\))150 5261 y Fg(Complex)54 b(operator)h(*)46
5898
b Ff(\()p Fe(const)31 b(ComplexRo)m(wV)-8 b(ector)33
5899
b(&)p Fd(a)p Fe(,)d(const)h(ComplexColumnV)-8 b(ector)565
5900
5371 y(&)p Fd(b)12 b Ff(\))p eop end
5902
TeXDict begin 30 33 bop 150 -116 a Fp(Chapter)30 b(4:)41
5903
b(Matrix)31 b(and)f(V)-8 b(ector)32 b(Op)s(erations)1838
5904
b(30)150 299 y Fg(ComplexRowVector)57 b(operator)e(*)46
5905
b Ff(\()p Fe(const)31 b(ComplexRo)m(wV)-8 b(ector)33
5906
b(&)p Fd(a)p Fe(,)d(const)565 408 y(ComplexMatrix)h(&)p
5907
Fd(b)12 b Ff(\))150 596 y Fg(ComplexRowVector)57 b(operator)e(+)46
5908
b Ff(\()p Fe(const)31 b(ComplexRo)m(wV)-8 b(ector)33
5909
b(&)p Fd(a)p Fe(,)d(const)h(Ro)m(wV)-8 b(ector)565 705
5910
y(&)p Fd(b)12 b Ff(\))150 815 y Fg(ComplexRowVector)57
5911
b(operator)e(-)46 b Ff(\()p Fe(const)31 b(ComplexRo)m(wV)-8
5912
b(ector)33 b(&)p Fd(a)p Fe(,)d(const)h(Ro)m(wV)-8 b(ector)565
5913
924 y(&)p Fd(b)12 b Ff(\))150 1112 y Fg(ComplexRowVector)57
5914
b(product)48 b Ff(\()p Fe(const)31 b(ComplexRo)m(wV)-8
5915
b(ector)33 b(&)p Fd(a)p Fe(,)d(const)h(Ro)m(wV)-8 b(ector)33
5916
b(&)p Fd(b)12 b Ff(\))150 1221 y Fg(ComplexRowVector)57
5917
b(quotient)48 b Ff(\()p Fe(const)31 b(ComplexRo)m(wV)-8
5918
b(ector)33 b(&)p Fd(a)p Fe(,)d(const)h(Ro)m(wV)-8 b(ector)565
5919
1331 y(&)p Fd(b)12 b Ff(\))150 1518 y Fg(ComplexRowVector)57
5920
b(map)47 b Ff(\()p Fe(c)p 1323 1518 28 4 v 40 w(c)p 1403
5921
1518 V 41 w(Mapp)s(er)29 b Fd(f)p Fe(,)i(const)g(ComplexRo)m(wV)-8
5922
b(ector)33 b(&)p Fd(a)12 b Ff(\))150 1628 y Fg(RowVector)55
5923
b(map)46 b Ff(\()p Fe(d)p 967 1628 V 40 w(c)p 1047 1628
5924
V 41 w(Mapp)s(er)29 b Fd(f)p Fe(,)i(const)g(ComplexRo)m(wV)-8
5925
b(ector)33 b(&)p Fd(a)12 b Ff(\))150 1737 y Fg(void)54
5926
b(map)46 b Ff(\()p Fe(c)p 695 1737 V 41 w(c)p 776 1737
5927
V 40 w(Mapp)s(er)30 b Fd(f)12 b Ff(\))150 1924 y Fg(Complex)54
5928
b(min)47 b Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)150
5929
2034 y Fg(Complex)54 b(max)47 b Ff(\()p Fe(v)m(oid)p
5930
Ff(\))31 b Fe(const)150 2221 y Fg(ostream&)55 b(operator)f(<<)47
5931
b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p Fe(,)g(const)g(ComplexRo)m(wV)-8
5932
b(ector)32 b(&)p Fd(a)12 b Ff(\))150 2408 y Fg(ComplexDiagMatrix)51
5933
b Ff(\()p Fe(v)m(oid)p Ff(\))150 2518 y Fg(ComplexDiagMatrix)g
5934
Ff(\()p Fe(in)m(t)31 b Fd(n)12 b Ff(\))150 2628 y Fg(ComplexDiagMatrix)
5935
51 b Ff(\()p Fe(in)m(t)31 b Fd(n)p Fe(,)g(const)g(Complex)f(&)p
5936
Fd(val)12 b Ff(\))150 2737 y Fg(ComplexDiagMatrix)51
5937
b Ff(\()p Fe(in)m(t)31 b Fd(r)p Fe(,)g(in)m(t)g Fd(c)12
5938
b Ff(\))150 2847 y Fg(ComplexDiagMatrix)51 b Ff(\()p
5939
Fe(in)m(t)31 b Fd(r)p Fe(,)g(in)m(t)g Fd(c)p Fe(,)f(const)h(Complex)g
5940
(&)p Fd(val)12 b Ff(\))150 2956 y Fg(ComplexDiagMatrix)51
5941
b Ff(\()p Fe(const)31 b(Ro)m(wV)-8 b(ector)32 b(&)p Fd(a)12
5942
b Ff(\))150 3066 y Fg(ComplexDiagMatrix)51 b Ff(\()p
5943
Fe(const)31 b(ComplexRo)m(wV)-8 b(ector)32 b(&)p Fd(a)12
5944
b Ff(\))150 3176 y Fg(ComplexDiagMatrix)51 b Ff(\()p
5945
Fe(const)31 b(ColumnV)-8 b(ector)31 b(&)p Fd(a)12 b Ff(\))150
5946
3285 y Fg(ComplexDiagMatrix)51 b Ff(\()p Fe(const)31
5947
b(ComplexColumnV)-8 b(ector)31 b(&)p Fd(a)12 b Ff(\))150
5948
3395 y Fg(ComplexDiagMatrix)51 b Ff(\()p Fe(const)31
5949
b(DiagMatrix)i(&)p Fd(a)12 b Ff(\))150 3504 y Fg(ComplexDiagMatrix)51
5950
b Ff(\()p Fe(const)31 b(DiagArra)m(y)p Fg(<)p Fe(Complex)p
5951
Fg(>)i Fe(&)p Fd(a)12 b Ff(\))150 3614 y Fg(ComplexDiagMatrix)51
5952
b Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p Fd(a)12
5953
b Ff(\))150 3801 y Fg(ComplexDiagMatrix&)58 b(operator)c(=)46
5954
b Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p Fd(a)12
5955
b Ff(\))150 3988 y Fg(int)53 b(operator)i(==)46 b Ff(\()p
5956
Fe(const)31 b(ComplexDiagMatrix)i(&)p Fd(a)12 b Ff(\))30
5957
b Fe(const)150 4098 y Fg(int)53 b(operator)i(!=)46 b
5958
Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p Fd(a)12
5959
b Ff(\))30 b Fe(const)150 4285 y Fg(ComplexDiagMatrix&)58
5960
b(fill)46 b Ff(\()p Fe(double)31 b Fd(val)12 b Ff(\))150
5961
4395 y Fg(ComplexDiagMatrix&)58 b(fill)46 b Ff(\()p Fe(const)32
5962
b(Complex)e(&)p Fd(val)12 b Ff(\))150 4504 y Fg(ComplexDiagMatrix&)58
5963
b(fill)46 b Ff(\()p Fe(double)31 b Fd(val)p Fe(,)g(in)m(t)g
5964
Fd(beg)p Fe(,)h(in)m(t)e Fd(end)12 b Ff(\))150 4614 y
5965
Fg(ComplexDiagMatrix&)58 b(fill)46 b Ff(\()p Fe(const)32
5966
b(Complex)e(&)p Fd(val)p Fe(,)h(in)m(t)g Fd(beg)p Fe(,)h(in)m(t)e
5967
Fd(end)12 b Ff(\))150 4723 y Fg(ComplexDiagMatrix&)58
5968
b(fill)46 b Ff(\()p Fe(const)32 b(ColumnV)-8 b(ector)31
5969
b(&)p Fd(a)12 b Ff(\))150 4833 y Fg(ComplexDiagMatrix&)58
5970
b(fill)46 b Ff(\()p Fe(const)32 b(ComplexColumnV)-8 b(ector)31
5971
b(&)p Fd(a)12 b Ff(\))150 4943 y Fg(ComplexDiagMatrix&)58
5972
b(fill)46 b Ff(\()p Fe(const)32 b(Ro)m(wV)-8 b(ector)32
5973
b(&)p Fd(a)12 b Ff(\))150 5052 y Fg(ComplexDiagMatrix&)58
5974
b(fill)46 b Ff(\()p Fe(const)32 b(ComplexRo)m(wV)-8 b(ector)32
5975
b(&)p Fd(a)12 b Ff(\))150 5162 y Fg(ComplexDiagMatrix&)58
5976
b(fill)46 b Ff(\()p Fe(const)32 b(ColumnV)-8 b(ector)31
5977
b(&)p Fd(a)p Fe(,)f(in)m(t)h Fd(beg)12 b Ff(\))150 5271
5978
y Fg(ComplexDiagMatrix&)58 b(fill)46 b Ff(\()p Fe(const)32
5979
b(ComplexColumnV)-8 b(ector)31 b(&)p Fd(a)p Fe(,)g(in)m(t)f
5980
Fd(beg)12 b Ff(\))150 5381 y Fg(ComplexDiagMatrix&)58
5981
b(fill)46 b Ff(\()p Fe(const)32 b(Ro)m(wV)-8 b(ector)32
5982
b(&)p Fd(a)p Fe(,)f(in)m(t)g Fd(beg)12 b Ff(\))p eop
5985
TeXDict begin 31 34 bop 150 -116 a Fp(Chapter)30 b(4:)41
5986
b(Matrix)31 b(and)f(V)-8 b(ector)32 b(Op)s(erations)1838
5987
b(31)150 299 y Fg(ComplexDiagMatrix&)58 b(fill)46 b Ff(\()p
5988
Fe(const)32 b(ComplexRo)m(wV)-8 b(ector)32 b(&)p Fd(a)p
5989
Fe(,)f(in)m(t)g Fd(beg)12 b Ff(\))150 456 y Fg(ComplexDiagMatrix)57
5990
b(transpose)49 b Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)150
5991
613 y Fg(DiagMatrix)55 b(real)47 b Ff(\()p Fe(const)31
5992
b(ComplexDiagMatrix)i(&)p Fd(a)12 b Ff(\))150 723 y Fg(DiagMatrix)55
5993
b(imag)47 b Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p
5994
Fd(a)12 b Ff(\))150 832 y Fg(ComplexDiagMatrix)57 b(conj)47
5995
b Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p Fd(a)12
5996
b Ff(\))150 990 y Fg(ComplexMatrix)56 b(extract)48 b
5997
Ff(\()p Fe(in)m(t)31 b(r1,)g(in)m(t)g(c1,)g(in)m(t)g(r2,)f(in)m(t)h(c2)
5998
p Ff(\))h Fe(const)150 1147 y Fg(ComplexRowVector)57
5999
b(row)47 b Ff(\()p Fe(in)m(t)31 b Fd(i)12 b Ff(\))30
6000
b Fe(const)150 1256 y Fg(ComplexRowVector)57 b(row)47
6001
b Ff(\()p Fe(c)m(har)31 b(*s)p Ff(\))g Fe(const)150 1413
6002
y Fg(ComplexColumnVector)58 b(column)47 b Ff(\()p Fe(in)m(t)32
6003
b Fd(i)12 b Ff(\))30 b Fe(const)150 1523 y Fg(ComplexColumnVector)58
6004
b(column)47 b Ff(\()p Fe(c)m(har)31 b(*s)p Ff(\))g Fe(const)150
6005
1680 y Fg(ComplexDiagMatrix)57 b(inverse)48 b Ff(\()p
6006
Fe(in)m(t)31 b(&)p Fd(info)12 b Ff(\))31 b Fe(const)150
6007
1790 y Fg(ComplexDiagMatrix)57 b(inverse)48 b Ff(\()p
6008
Fe(v)m(oid)p Ff(\))32 b Fe(const)150 1947 y Fg(ComplexDiagMatrix&)58
6009
b(operator)c(+=)47 b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p
6010
Fd(a)12 b Ff(\))150 2057 y Fg(ComplexDiagMatrix&)58 b(operator)c(-=)47
6011
b Ff(\()p Fe(const)31 b(DiagMatrix)i(&)p Fd(a)12 b Ff(\))150
6012
2214 y Fg(ComplexDiagMatrix&)58 b(operator)c(+=)47 b
6013
Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p Fd(a)12
6014
b Ff(\))150 2323 y Fg(ComplexDiagMatrix&)58 b(operator)c(-=)47
6015
b Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p Fd(a)12
6016
b Ff(\))150 2480 y Fg(ComplexMatrix)56 b(operator)f(+)46
6017
b Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p Fd(a)p
6018
Fe(,)d(double)g Fd(s)12 b Ff(\))150 2590 y Fg(ComplexMatrix)56
6019
b(operator)f(-)46 b Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p
6020
Fd(a)p Fe(,)d(double)g Fd(s)12 b Ff(\))150 2747 y Fg(ComplexMatrix)56
6021
b(operator)f(+)46 b Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p
6022
Fd(a)p Fe(,)d(const)h(Complex)g(&)p Fd(s)12 b Ff(\))150
6023
2857 y Fg(ComplexMatrix)56 b(operator)f(-)46 b Ff(\()p
6024
Fe(const)31 b(ComplexDiagMatrix)i(&)p Fd(a)p Fe(,)d(const)h(Complex)g
6025
(&)p Fd(s)12 b Ff(\))150 3014 y Fg(ComplexDiagMatrix)57
6026
b(operator)e(*)46 b Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p
6027
Fd(a)p Fe(,)e(double)f Fd(s)12 b Ff(\))150 3124 y Fg(ComplexDiagMatrix)
6028
57 b(operator)e(/)46 b Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p
6029
Fd(a)p Fe(,)e(double)f Fd(s)12 b Ff(\))150 3281 y Fg(ComplexMatrix)56
6030
b(operator)f(+)46 b Ff(\()p Fe(double)30 b Fd(s)p Fe(,)h(const)g
6031
(ComplexDiagMatrix)i(&)p Fd(a)12 b Ff(\))150 3390 y Fg(ComplexMatrix)56
6032
b(operator)f(-)46 b Ff(\()p Fe(double)30 b Fd(s)p Fe(,)h(const)g
6033
(ComplexDiagMatrix)i(&)p Fd(a)12 b Ff(\))150 3547 y Fg(ComplexMatrix)56
6034
b(operator)f(+)46 b Ff(\()p Fe(const)31 b(Complex)f(&)p
6035
Fd(s)p Fe(,)h(const)g(ComplexDiagMatrix)i(&)p Fd(a)12
6036
b Ff(\))150 3657 y Fg(ComplexMatrix)56 b(operator)f(-)46
6037
b Ff(\()p Fe(const)31 b(Complex)f(&)p Fd(s)p Fe(,)h(const)g
6038
(ComplexDiagMatrix)i(&)p Fd(a)12 b Ff(\))150 3814 y Fg
6039
(ComplexDiagMatrix)57 b(operator)e(*)46 b Ff(\()p Fe(double)30
6040
b Fd(s)p Fe(,)h(const)g(ComplexDiagMatrix)i(&)p Fd(a)12
6041
b Ff(\))150 3971 y Fg(ComplexColumnVector)58 b(operator)d(*)46
6042
b Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p Fd(a)p
6043
Fe(,)d(const)565 4081 y(ColumnV)-8 b(ector)31 b(&)p Fd(b)12
6044
b Ff(\))150 4238 y Fg(ComplexColumnVector)58 b(operator)d(*)46
6045
b Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p Fd(a)p
6046
Fe(,)d(const)565 4348 y(ComplexColumnV)-8 b(ector)31
6047
b(&)p Fd(b)12 b Ff(\))150 4505 y Fg(ComplexDiagMatrix)57
6048
b(operator)e(+)46 b Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p
6049
Fd(a)p Fe(,)e(const)565 4614 y(DiagMatrix)i(&)p Fd(b)12
6050
b Ff(\))150 4724 y Fg(ComplexDiagMatrix)57 b(operator)e(-)46
6051
b Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p Fd(a)p
6052
Fe(,)e(const)565 4834 y(DiagMatrix)i(&)p Fd(b)12 b Ff(\))150
6053
4991 y Fg(ComplexDiagMatrix)57 b(product)48 b Ff(\()p
6054
Fe(const)31 b(ComplexDiagMatrix)i(&)p Fd(a)p Fe(,)e(const)g(DiagMatrix)
6055
565 5100 y(&)p Fd(b)12 b Ff(\))150 5257 y Fg(ComplexMatrix)56
6056
b(operator)f(+)46 b Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p
6057
Fd(a)p Fe(,)d(const)h(Matrix)h(&)p Fd(b)12 b Ff(\))150
6058
5367 y Fg(ComplexMatrix)56 b(operator)f(-)46 b Ff(\()p
6059
Fe(const)31 b(ComplexDiagMatrix)i(&)p Fd(a)p Fe(,)d(const)h(Matrix)h(&)
6060
p Fd(b)12 b Ff(\))p eop end
6062
TeXDict begin 32 35 bop 150 -116 a Fp(Chapter)30 b(4:)41
6063
b(Matrix)31 b(and)f(V)-8 b(ector)32 b(Op)s(erations)1838
6064
b(32)150 299 y Fg(ComplexMatrix)56 b(operator)f(*)46
6065
b Ff(\()p Fe(const)31 b(ComplexDiagMatrix)i(&)p Fd(a)p
6066
Fe(,)d(const)h(Matrix)h(&)p Fd(b)12 b Ff(\))150 458 y
6067
Fg(ComplexMatrix)56 b(operator)f(+)46 b Ff(\()p Fe(const)30
6068
b(ComplexDiagMatrix)i(&)p Fd(a)p Fe(,)e(const)g(ComplexMatrix)565
6069
568 y(&)p Fd(b)12 b Ff(\))150 677 y Fg(ComplexMatrix)56
6070
b(operator)f(-)46 b Ff(\()p Fe(const)30 b(ComplexDiagMatrix)i(&)p
6071
Fd(a)p Fe(,)e(const)g(ComplexMatrix)565 787 y(&)p Fd(b)12
6072
b Ff(\))150 897 y Fg(ComplexMatrix)56 b(operator)f(*)46
6073
b Ff(\()p Fe(const)30 b(ComplexDiagMatrix)i(&)p Fd(a)p
6074
Fe(,)e(const)g(ComplexMatrix)565 1006 y(&)p Fd(b)12 b
6075
Ff(\))150 1166 y Fg(ComplexColumnVector)58 b(diag)47
6076
b Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)150 1275 y
6077
Fg(ComplexColumnVector)58 b(diag)47 b Ff(\()p Fe(in)m(t)31
6078
b Fd(k)12 b Ff(\))30 b Fe(const)150 1435 y Fg(ostream&)55
6079
b(operator)f(<<)47 b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p
6080
Fe(,)g(const)g(ComplexDiagMatrix)i(&)p Fd(a)12 b Ff(\))p
6083
TeXDict begin 33 36 bop 150 -116 a Fp(Chapter)30 b(5:)41
6084
b(Matrix)31 b(F)-8 b(actorizations)2187 b(33)150 299
6085
y Fl(5)80 b(Matrix)54 b(F)-13 b(actorizations)150 584
6086
y Fg(AEPBALANCE)48 b Ff(\()p Fe(v)m(oid)p Ff(\))150 694
6087
y Fg(AEPBALANCE)g Ff(\()p Fe(const)32 b(Matrix)f(&)p
6088
Fd(a)p Fe(,)g(const)f(c)m(har)h(*)p Fd(balance_job)12
6089
b Ff(\))150 803 y Fg(AEPBALANCE)48 b Ff(\()p Fe(const)32
6090
b(AEPBALANCE)e(&)p Fd(a)12 b Ff(\))150 955 y Fg(AEPBALANCE&)56
6091
b(operator)e(=)46 b Ff(\()p Fe(const)31 b(AEPBALANCE)g(&)p
6092
Fd(a)12 b Ff(\))150 1106 y Fg(Matrix)54 b(balanced_matrix)c
6093
Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 1216 y Fg(Matrix)54
6094
b(balancing_matrix)c Ff(\()p Fe(v)m(oid)p Ff(\))32 b
6095
Fe(const)150 1367 y Fg(ostream&)55 b(operator)f(<<)47
6096
b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p Fe(,)g(const)g(AEPBALANCE)f(&)p
6097
Fd(a)12 b Ff(\))150 1519 y Fg(ComplexAEPBALANCE)51 b
6098
Ff(\()p Fe(v)m(oid)p Ff(\))150 1628 y Fg(ComplexAEPBALANCE)g
6099
Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p Fd(a)p Fe(,)g(const)g(c)m
6100
(har)f(*)p Fd(balance_job)12 b Ff(\))150 1738 y Fg(ComplexAEPBALANCE)51
6101
b Ff(\()p Fe(const)31 b(ComplexAEPBALANCE)f(&)p Fd(a)12
6102
b Ff(\))150 1889 y Fg(ComplexAEPBALANCE&)58 b(operator)c(=)46
6103
b Ff(\()p Fe(const)31 b(ComplexAEPBALANCE)g(&)p Fd(a)12
6104
b Ff(\))150 2041 y Fg(ComplexMatrix)56 b(balanced_matrix)50
6105
b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 2150 y
6106
Fg(ComplexMatrix)56 b(balancing_matrix)51 b Ff(\()p Fe(v)m(oid)p
6107
Ff(\))31 b Fe(const)150 2302 y Fg(ostream&)55 b(operator)f(<<)47
6108
b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p Fe(,)g(const)g(ComplexAEPBALANCE)
6109
f(&)p Fd(a)12 b Ff(\))150 2453 y Fg(DET)46 b Ff(\()p
6110
Fe(v)m(oid)p Ff(\))150 2563 y Fg(DET)g Ff(\()p Fe(const)32
6111
b(DET)e(&)p Fd(a)12 b Ff(\))150 2714 y Fg(DET&)54 b(operator)g(=)46
6112
b Ff(\()p Fe(const)31 b(DET)g(&)p Fd(a)12 b Ff(\))150
6113
2866 y Fg(int)53 b(value_will_overflow)e Ff(\()p Fe(v)m(oid)p
6114
Ff(\))32 b Fe(const)150 2976 y Fg(int)53 b(value_will_underflow)f
6115
Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)150 3127 y Fg(double)54
6116
b(coefficient)49 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150
6117
3237 y Fg(int)53 b(exponent)48 b Ff(\()p Fe(v)m(oid)p
6118
Ff(\))32 b Fe(const)150 3346 y Fg(double)54 b(value)47
6119
b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 3498 y
6120
Fg(ostream&)55 b(operator)f(<<)47 b Ff(\()p Fe(ostream)31
6121
b(&)p Fd(os)p Fe(,)g(const)g(DET)f(&)p Fd(a)12 b Ff(\))150
6122
3649 y Fg(ComplexDET)48 b Ff(\()p Fe(v)m(oid)p Ff(\))150
6123
3759 y Fg(ComplexDET)g Ff(\()p Fe(const)32 b(ComplexDET)e(&)p
6124
Fd(a)12 b Ff(\))150 3910 y Fg(ComplexDET&)56 b(operator)e(=)46
6125
b Ff(\()p Fe(const)31 b(ComplexDET)g(&)p Fd(a)12 b Ff(\))150
6126
4062 y Fg(int)53 b(value_will_overflow)e Ff(\()p Fe(v)m(oid)p
6127
Ff(\))32 b Fe(const)150 4171 y Fg(int)53 b(value_will_underflow)f
6128
Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)150 4323 y Fg(Complex)54
6129
b(coefficient)49 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150
6130
4432 y Fg(int)53 b(exponent)48 b Ff(\()p Fe(v)m(oid)p
6131
Ff(\))32 b Fe(const)150 4542 y Fg(Complex)54 b(value)47
6132
b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 4693 y
6133
Fg(ostream&)55 b(operator)f(<<)47 b Ff(\()p Fe(ostream)31
6134
b(&)p Fd(os)p Fe(,)g(const)g(ComplexDET)f(&)p Fd(a)12
6135
b Ff(\))150 4845 y Fg(GEPBALANCE)48 b Ff(\()p Fe(v)m(oid)p
6136
Ff(\))150 4955 y Fg(GEPBALANCE)g Ff(\()p Fe(const)32
6137
b(Matrix)f(&)p Fd(a)p Fe(,)g(const)f(Matrix)i(&,)e(const)h(c)m(har)g(*)
6138
p Fd(balance_job)12 b Ff(\))150 5064 y Fg(GEPBALANCE)48
6139
b Ff(\()p Fe(const)32 b(GEPBALANCE)e(&)p Fd(a)12 b Ff(\))150
6140
5216 y Fg(GEPBALANCE&)56 b(operator)e(=)46 b Ff(\()p
6141
Fe(const)31 b(GEPBALANCE)g(&)p Fd(a)12 b Ff(\))150 5367
6142
y Fg(Matrix)54 b(balanced_a_matrix)d Ff(\()p Fe(v)m(oid)p
6143
Ff(\))31 b Fe(const)p eop end
6145
TeXDict begin 34 37 bop 150 -116 a Fp(Chapter)30 b(5:)41
6146
b(Matrix)31 b(F)-8 b(actorizations)2187 b(34)150 299
6147
y Fg(Matrix)54 b(balanced_b_matrix)d Ff(\()p Fe(v)m(oid)p
6148
Ff(\))31 b Fe(const)150 408 y Fg(Matrix)54 b(left_balancing_matrix)e
6149
Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 518 y Fg(Matrix)54
6150
b(right_balancing_matrix)e Ff(\()p Fe(v)m(oid)p Ff(\))32
6151
b Fe(const)150 667 y Fg(ostream&)55 b(operator)f(<<)47
6152
b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p Fe(,)g(const)g(GEPBALANCE)f(&)p
6153
Fd(a)12 b Ff(\))150 817 y Fg(CHOL)47 b Ff(\()p Fe(v)m(oid)p
6154
Ff(\))150 926 y Fg(CHOL)g Ff(\()p Fe(const)31 b(Matrix)g(&)p
6155
Fd(a)12 b Ff(\))150 1036 y Fg(CHOL)47 b Ff(\()p Fe(const)31
6156
b(Matrix)g(&)p Fd(a)p Fe(,)g(in)m(t)g(&)p Fd(info)12
6157
b Ff(\))150 1145 y Fg(CHOL)47 b Ff(\()p Fe(const)31 b(CHOL)f(&)p
6158
Fd(a)12 b Ff(\))150 1295 y Fg(CHOL&)54 b(operator)h(=)45
6159
b Ff(\()p Fe(const)32 b(CHOL)d(&)p Fd(a)12 b Ff(\))150
6160
1444 y Fg(Matrix)54 b(chol_matrix)49 b Ff(\()p Fe(v)m(oid)p
6161
Ff(\))32 b Fe(const)150 1593 y Fg(ostream&)55 b(operator)f(<<)47
6162
b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p Fe(,)g(const)g(CHOL)e(&)p
6163
Fd(a)12 b Ff(\))150 1743 y Fg(ComplexCHOL)49 b Ff(\()p
6164
Fe(v)m(oid)p Ff(\))150 1852 y Fg(ComplexCHOL)g Ff(\()p
6165
Fe(const)31 b(ComplexMatrix)g(&)p Fd(a)12 b Ff(\))150
6166
1962 y Fg(ComplexCHOL)49 b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p
6167
Fd(a)p Fe(,)g(in)m(t)g(&)p Fd(info)12 b Ff(\))150 2071
6168
y Fg(ComplexCHOL)49 b Ff(\()p Fe(const)31 b(ComplexCHOL)f(&)p
6169
Fd(a)12 b Ff(\))150 2221 y Fg(ComplexCHOL&)56 b(operator)f(=)45
6170
b Ff(\()p Fe(const)32 b(ComplexCHOL)d(&)p Fd(a)12 b Ff(\))150
6171
2370 y Fg(ComplexMatrix)56 b(chol_matrix)49 b Ff(\()p
6172
Fe(v)m(oid)p Ff(\))32 b Fe(const)150 2519 y Fg(ostream&)55
6173
b(operator)f(<<)47 b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p
6174
Fe(,)g(const)g(ComplexCHOL)e(&)p Fd(a)12 b Ff(\))150
6175
2669 y Fg(HESS)47 b Ff(\()p Fe(v)m(oid)p Ff(\))150 2778
6176
y Fg(HESS)g Ff(\()p Fe(const)31 b(Matrix)g(&)p Fd(a)12
6177
b Ff(\))150 2888 y Fg(HESS)47 b Ff(\()p Fe(const)31 b(Matrix&a,)h(in)m
6178
(t)e(&)p Fd(info)12 b Ff(\))150 2997 y Fg(HESS)47 b Ff(\()p
6179
Fe(const)31 b(HESS)e(&)p Fd(a)12 b Ff(\))150 3147 y Fg(HESS&)54
6180
b(operator)h(=)45 b Ff(\()p Fe(const)32 b(HESS)d(&)p
6181
Fd(a)12 b Ff(\))150 3296 y Fg(Matrix)54 b(hess_matrix)49
6182
b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 3406 y
6183
Fg(Matrix)54 b(unitary_hess_matrix)d Ff(\()p Fe(v)m(oid)p
6184
Ff(\))32 b Fe(const)150 3555 y Fg(ostream&)55 b(operator)f(<<)47
6185
b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p Fe(,)g(const)g(HESS)e(&)p
6186
Fd(a)12 b Ff(\))150 3704 y Fg(ComplexHESS)49 b Ff(\()p
6187
Fe(v)m(oid)p Ff(\))150 3814 y Fg(ComplexHESS)g Ff(\()p
6188
Fe(const)31 b(ComplexMatrix)g(&)p Fd(a)12 b Ff(\))150
6189
3923 y Fg(ComplexHESS)49 b Ff(\()p Fe(const)31 b(ComplexMatrix)g(&)p
6190
Fd(a)p Fe(,)g(in)m(t)g(&)p Fd(info)12 b Ff(\))150 4033
6191
y Fg(ComplexHESS)49 b Ff(\()p Fe(const)31 b(ComplexHESS)e(&)p
6192
Fd(a)12 b Ff(\))150 4182 y Fg(ComplexHESS&)56 b(operator)f(=)45
6193
b Ff(\()p Fe(const)32 b(ComplexHESS)d(&)p Fd(a)12 b Ff(\))150
6194
4332 y Fg(ComplexMatrix)56 b(hess_matrix)49 b Ff(\()p
6195
Fe(v)m(oid)p Ff(\))32 b Fe(const)150 4441 y Fg(ComplexMatrix)56
6196
b(unitary_hess_matrix)51 b Ff(\()p Fe(v)m(oid)p Ff(\))32
6197
b Fe(const)150 4590 y Fg(ostream&)55 b(operator)f(<<)47
6198
b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p Fe(,)g(const)g(ComplexHESS)e(&)p
6199
Fd(a)12 b Ff(\))150 4740 y Fg(SCHUR)47 b Ff(\()p Fe(v)m(oid)p
6200
Ff(\))150 4849 y Fg(SCHUR)g Ff(\()p Fe(const)31 b(Matrix)g(&)p
6201
Fd(a)p Fe(,)g(const)g(c)m(har)g(*)p Fd(ord)12 b Ff(\))150
6202
4959 y Fg(SCHUR)47 b Ff(\()p Fe(const)31 b(Matrix)g(&)p
6203
Fd(a)p Fe(,)g(const)g(c)m(har)g(*)p Fd(ord)p Fe(,)h(in)m(t)e(&)p
6204
Fd(info)12 b Ff(\))150 5068 y Fg(SCHUR)47 b Ff(\()p Fe(const)31
6205
b(SCHUR)f(&)p Fd(a)p Fe(,)h(const)f(c)m(har)h(*)p Fd(ord)12
6206
b Ff(\))150 5218 y Fg(SCHUR&)54 b(operator)h(=)46 b Ff(\()p
6207
Fe(const)31 b(SCHUR)f(&)p Fd(a)12 b Ff(\))150 5367 y
6208
Fg(Matrix)54 b(schur_matrix)49 b Ff(\()p Fe(v)m(oid)p
6209
Ff(\))32 b Fe(const)p eop end
6211
TeXDict begin 35 38 bop 150 -116 a Fp(Chapter)30 b(5:)41
6212
b(Matrix)31 b(F)-8 b(actorizations)2187 b(35)150 299
6213
y Fg(Matrix)54 b(unitary_matrix)c Ff(\()p Fe(v)m(oid)p
6214
Ff(\))32 b Fe(const)150 456 y Fg(ostream&)55 b(operator)f(<<)47
6215
b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p Fe(,)g(const)g(SCHUR)f(&)p
6216
Fd(a)12 b Ff(\))150 613 y Fg(ComplexSCHUR)49 b Ff(\()p
6217
Fe(v)m(oid)p Ff(\))150 723 y Fg(ComplexSCHUR)g Ff(\()p
6218
Fe(const)31 b(ComplexMatrix)h(&)p Fd(a)p Fe(,)e(const)h(c)m(har)g(*)p
6219
Fd(ord)12 b Ff(\))150 832 y Fg(ComplexSCHUR)49 b Ff(\()p
6220
Fe(const)31 b(ComplexMatrix)h(&)p Fd(a)p Fe(,)e(const)h(c)m(har)g(*)p
6221
Fd(ord)p Fe(,)h(in)m(t)f(&)p Fd(info)12 b Ff(\))150 942
6222
y Fg(ComplexSCHUR)49 b Ff(\()p Fe(const)31 b(ComplexSCHUR)f(&)p
6223
Fd(a)p Fe(,)h(const)g(c)m(har)f(*)p Fd(ord)12 b Ff(\))150
6224
1099 y Fg(ComplexSCHUR&)56 b(operator)f(=)46 b Ff(\()p
6225
Fe(const)31 b(ComplexSCHUR)f(&)p Fd(a)12 b Ff(\))150
6226
1256 y Fg(ComplexMatrix)56 b(schur_matrix)49 b Ff(\()p
6227
Fe(v)m(oid)p Ff(\))32 b Fe(const)150 1366 y Fg(ComplexMatrix)56
6228
b(unitary_matrix)50 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b
6229
Fe(const)150 1523 y Fg(ostream&)55 b(operator)f(<<)47
6230
b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p Fe(,)g(const)g(ComplexSCHUR)f(&)p
6231
Fd(a)12 b Ff(\))150 1680 y Fg(SVD)46 b Ff(\()p Fe(v)m(oid)p
6232
Ff(\))150 1790 y Fg(SVD)g Ff(\()p Fe(const)32 b(Matrix)f(&)p
6233
Fd(a)12 b Ff(\))150 1899 y Fg(SVD)46 b Ff(\()p Fe(const)32
6234
b(Matrix)f(&)p Fd(a)p Fe(,)f(in)m(t)h(&)p Fd(info)12
6235
b Ff(\))150 2009 y Fg(SVD)46 b Ff(\()p Fe(const)32 b(SVD)e(&)p
6236
Fd(a)12 b Ff(\))150 2166 y Fg(SVD&)54 b(operator)g(=)46
6237
b Ff(\()p Fe(const)31 b(SVD)g(&)p Fd(a)12 b Ff(\))150
6238
2323 y Fg(DiagMatrix)55 b(singular_values)50 b Ff(\()p
6239
Fe(v)m(oid)p Ff(\))32 b Fe(const)150 2433 y Fg(Matrix)54
6240
b(left_singular_matrix)e Ff(\()p Fe(v)m(oid)p Ff(\))31
6241
b Fe(const)150 2542 y Fg(Matrix)54 b(right_singular_matrix)e
6242
Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 2700 y Fg(ostream&)55
6243
b(operator)f(<<)47 b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p
6244
Fe(,)g(const)g(SVD)f(&)p Fd(a)12 b Ff(\))150 2857 y Fg(ComplexSVD)48
6245
b Ff(\()p Fe(v)m(oid)p Ff(\))150 2966 y Fg(ComplexSVD)g
6246
Ff(\()p Fe(const)32 b(ComplexMatrix)f(&)p Fd(a)12 b Ff(\))150
6247
3076 y Fg(ComplexSVD)48 b Ff(\()p Fe(const)32 b(ComplexMatrix)f(&)p
6248
Fd(a)p Fe(,)g(in)m(t)f(&)p Fd(info)12 b Ff(\))150 3186
6249
y Fg(ComplexSVD)48 b Ff(\()p Fe(const)32 b(ComplexSVD)e(&)p
6250
Fd(a)12 b Ff(\))150 3343 y Fg(ComplexSVD&)56 b(operator)e(=)46
6251
b Ff(\()p Fe(const)31 b(ComplexSVD)g(&)p Fd(a)12 b Ff(\))150
6252
3500 y Fg(DiagMatrix)55 b(singular_values)50 b Ff(\()p
6253
Fe(v)m(oid)p Ff(\))32 b Fe(const)150 3609 y Fg(ComplexMatrix)56
6254
b(left_singular_matrix)c Ff(\()p Fe(v)m(oid)p Ff(\))31
6255
b Fe(const)150 3719 y Fg(ComplexMatrix)56 b(right_singular_matrix)c
6256
Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 3876 y Fg(ostream&)55
6257
b(operator)f(<<)47 b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p
6258
Fe(,)g(const)g(ComplexSVD)f(&)p Fd(a)12 b Ff(\))150 4033
6259
y Fg(EIG)46 b Ff(\()p Fe(v)m(oid)p Ff(\))150 4143 y Fg(EIG)g
6260
Ff(\()p Fe(const)32 b(Matrix)f(&)p Fd(a)12 b Ff(\))150
6261
4253 y Fg(EIG)46 b Ff(\()p Fe(const)32 b(Matrix)f(&)p
6262
Fd(a)p Fe(,)f(in)m(t)h(&)p Fd(info)12 b Ff(\))150 4362
6263
y Fg(EIG)46 b Ff(\()p Fe(const)32 b(ComplexMatrix)f(&)p
6264
Fd(a)12 b Ff(\))150 4472 y Fg(EIG)46 b Ff(\()p Fe(const)32
6265
b(ComplexMatrix)f(&)p Fd(a)p Fe(,)f(in)m(t)h(&)p Fd(info)12
6266
b Ff(\))150 4581 y Fg(EIG)46 b Ff(\()p Fe(const)32 b(EIG)e(&)p
6267
Fd(a)12 b Ff(\))150 4738 y Fg(EIG&)54 b(operator)g(=)46
6268
b Ff(\()p Fe(const)31 b(EIG)g(&)p Fd(a)12 b Ff(\))150
6269
4896 y Fg(ComplexColumnVector)58 b(eigenvalues)49 b Ff(\()p
6270
Fe(v)m(oid)p Ff(\))32 b Fe(const)150 5053 y Fg(ComplexMatrix)56
6271
b(eigenvectors)49 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150
6272
5210 y Fg(ostream&)55 b(operator)f(<<)47 b Ff(\()p Fe(ostream)31
6273
b(&)p Fd(os)p Fe(,)g(const)g(EIG)f(&)p Fd(a)12 b Ff(\))150
6274
5367 y Fg(LU)46 b Ff(\()p Fe(v)m(oid)p Ff(\))p eop end
6276
TeXDict begin 36 39 bop 150 -116 a Fp(Chapter)30 b(5:)41
6277
b(Matrix)31 b(F)-8 b(actorizations)2187 b(36)150 299
6278
y Fg(LU)46 b Ff(\()p Fe(const)31 b(Matrix)h(&)p Fd(a)12
6279
b Ff(\))150 408 y Fg(LU)46 b Ff(\()p Fe(const)31 b(LU)g(&)p
6280
Fd(a)12 b Ff(\))150 568 y Fg(LU&)53 b(operator)i(=)46
6281
b Ff(\()p Fe(const)31 b(LU)f(&)p Fd(a)12 b Ff(\))150
6282
727 y Fg(Matrix)54 b(L)46 b Ff(\()p Fe(v)m(oid)p Ff(\))32
6283
b Fe(const)150 837 y Fg(Matrix)54 b(U)46 b Ff(\()p Fe(v)m(oid)p
6284
Ff(\))32 b Fe(const)150 946 y Fg(Matrix)54 b(P)46 b Ff(\()p
6285
Fe(v)m(oid)p Ff(\))32 b Fe(const)150 1106 y Fg(ostream&)55
6286
b(operator)f(<<)47 b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p
6287
Fe(,)g(const)g(LU)f(&)p Fd(a)12 b Ff(\))150 1265 y Fg(ComplexLU)48
6288
b Ff(\()p Fe(v)m(oid)p Ff(\))150 1375 y Fg(ComplexLU)g
6289
Ff(\()p Fe(const)31 b(ComplexMatrix)h(&)p Fd(a)12 b Ff(\))150
6290
1484 y Fg(ComplexLU)48 b Ff(\()p Fe(const)31 b(ComplexLU)g(&)p
6291
Fd(a)12 b Ff(\))150 1644 y Fg(ComplexLU&)55 b(operator)g(=)46
6292
b Ff(\()p Fe(const)31 b(ComplexLU)f(&)p Fd(a)12 b Ff(\))150
6293
1803 y Fg(ComplexMatrix)56 b(L)46 b Ff(\()p Fe(v)m(oid)p
6294
Ff(\))32 b Fe(const)150 1913 y Fg(ComplexMatrix)56 b(U)46
6295
b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 2022 y
6296
Fg(Matrix)54 b(P)46 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b
6297
Fe(const)150 2182 y Fg(ostream&)55 b(operator)f(<<)47
6298
b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p Fe(,)g(const)g(ComplexLU)f(&)p
6299
Fd(a)12 b Ff(\))150 2341 y Fg(QR)46 b Ff(\()p Fe(v)m(oid)p
6300
Ff(\))150 2451 y Fg(QR)g Ff(\()p Fe(const)31 b(Matrix)h(&)p
6301
Fd(A)12 b Ff(\))150 2560 y Fg(QR)46 b Ff(\()p Fe(const)31
6302
b(QR)f(&)p Fd(a)12 b Ff(\))150 2720 y Fg(QR&)53 b(operator)i(=)46
6303
b Ff(\()p Fe(const)31 b(QR)f(&)p Fd(a)12 b Ff(\))150
6304
2879 y Fg(Matrix)54 b(Q)46 b Ff(\()p Fe(v)m(oid)p Ff(\))32
6305
b Fe(const)150 2989 y Fg(Matrix)54 b(R)46 b Ff(\()p Fe(v)m(oid)p
6306
Ff(\))32 b Fe(const)150 3148 y Fg(ostream&)55 b(operator)f(<<)47
6307
b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p Fe(,)g(const)g(QR)f(&)p
6308
Fd(a)12 b Ff(\))150 3308 y Fg(ComplexQR)48 b Ff(\()p
6309
Fe(v)m(oid)p Ff(\))150 3417 y Fg(ComplexQR)g Ff(\()p
6310
Fe(const)31 b(ComplexMatrix)h(&)p Fd(A)12 b Ff(\))150
6311
3527 y Fg(ComplexQR)48 b Ff(\()p Fe(const)31 b(ComplexQR)f(&)p
6312
Fd(a)12 b Ff(\))150 3686 y Fg(ComplexQR&)55 b(operator)g(=)46
6313
b Ff(\()p Fe(const)31 b(ComplexQR)f(&)p Fd(a)12 b Ff(\))150
6314
3846 y Fg(ComplexMatrix)56 b(Q)46 b Ff(\()p Fe(v)m(oid)p
6315
Ff(\))32 b Fe(const)150 3955 y Fg(ComplexMatrix)56 b(R)46
6316
b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 4115 y
6317
Fg(ostream&)55 b(operator)f(<<)47 b Ff(\()p Fe(ostream)31
6318
b(&)p Fd(os)p Fe(,)g(const)g(ComplexQR)f(&)p Fd(a)12
6321
TeXDict begin 37 40 bop 150 -116 a Fp(Chapter)30 b(6:)41
6322
b(Ranges)2760 b(37)150 299 y Fl(6)80 b(Ranges)150 608
6323
y Fg(Range)47 b Ff(\()p Fe(v)m(oid)p Ff(\))150 717 y
6324
Fg(Range)g Ff(\()p Fe(const)31 b(Range)g(&)p Fd(r)12
6325
b Ff(\))150 827 y Fg(Range)47 b Ff(\()p Fe(double)30
6326
b Fd(b)p Fe(,)h(double)f Fd(l)12 b Ff(\))150 936 y Fg(Range)47
6327
b Ff(\()p Fe(double)30 b Fd(b)p Fe(,)h(double)f Fd(l)p
6328
Fe(,)h(double)f Fd(i)12 b Ff(\))150 1096 y Fg(double)54
6329
b(base)47 b Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)150
6330
1205 y Fg(double)54 b(limit)47 b Ff(\()p Fe(v)m(oid)p
6331
Ff(\))32 b Fe(const)150 1315 y Fg(double)54 b(inc)46
6332
b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 1474 y
6333
Fg(void)54 b(set_base)47 b Ff(\()p Fe(double)31 b Fd(b)12
6334
b Ff(\))150 1584 y Fg(void)54 b(set_limit)48 b Ff(\()p
6335
Fe(double)30 b Fd(l)12 b Ff(\))150 1694 y Fg(void)54
6336
b(set_inc)47 b Ff(\()p Fe(double)30 b Fd(i)12 b Ff(\))150
6337
1853 y Fg(int)53 b(nelem)47 b Ff(\()p Fe(v)m(oid)p Ff(\))32
6338
b Fe(const)150 2012 y Fg(double)54 b(min)46 b Ff(\()p
6339
Fe(v)m(oid)p Ff(\))32 b Fe(const)150 2122 y Fg(double)54
6340
b(max)46 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150
6341
2281 y Fg(void)54 b(sort)46 b Ff(\()p Fe(v)m(oid)p Ff(\))150
6342
2441 y Fg(ostream&)55 b(operator)f(<<)47 b Ff(\()p Fe(ostream)31
6343
b(&)p Fd(os)p Fe(,)g(const)g(Range)g(&)p Fd(r)12 b Ff(\))150
6344
2550 y Fg(istream&)55 b(operator)f(>>)47 b Ff(\()p Fe(istream)31
6345
b(&)p Fd(is)p Fe(,)g(Range)g(&)p Fd(r)12 b Ff(\))150
6346
2710 y Fg(void)54 b(print_range)48 b Ff(\()p Fe(v)m(oid)p
6349
TeXDict begin 38 41 bop 150 -116 a Fp(Chapter)30 b(7:)41
6350
b(Nonlinear)31 b(F)-8 b(unctions)2242 b(38)150 299 y
6351
Fl(7)80 b(Nonlinear)53 b(F)-13 b(unctions)150 608 y Fg(NLFunc)47
6352
b Ff(\()p Fe(v)m(oid)p Ff(\))150 717 y Fg(NLFunc)g Ff(\()p
6353
Fe(const)32 b Fd(nonlinear_fcn)12 b Ff(\))150 827 y Fg(NLFunc)47
6354
b Ff(\()p Fe(const)32 b Fd(nonlinear_fcn)p Fe(,)i(const)d
6355
Fd(jacobian_fcn)12 b Ff(\))150 936 y Fg(NLFunc)47 b Ff(\()p
6356
Fe(const)32 b(NLF)-8 b(unc)30 b(&)p Fd(a)12 b Ff(\))150
6357
1096 y Fg(NLFunc&)54 b(operator)h(=)46 b Ff(\()p Fe(const)31
6358
b(NLF)-8 b(unc)31 b(&)p Fd(a)12 b Ff(\))150 1255 y Fg(nonlinear_fcn)56
6359
b(function)48 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const;)150
6360
1415 y Fg(NLFunc&)54 b(set_function)c Ff(\()p Fe(const)31
6361
b(nonlinear)p 1890 1415 28 4 v 40 w(fcn)f Fd(f)12 b Ff(\))150
6362
1574 y Fg(jacobian_fcn)56 b(jacobian_function)51 b Ff(\()p
6363
Fe(v)m(oid)p Ff(\))31 b Fe(const;)150 1733 y Fg(NLFunc&)54
6364
b(set_jacobian_function)e Ff(\()p Fe(const)31 b(jacobian)p
6365
2321 1733 V 41 w(fcn)f Fd(j)12 b Ff(\))p eop end
6367
TeXDict begin 39 42 bop 150 -116 a Fp(Chapter)30 b(8:)41
6368
b(Nonlinear)31 b(Equations)2229 b(39)150 299 y Fl(8)80
6369
b(Nonlinear)53 b(Equations)150 608 y Fg(NLEqn_options)c
6370
Ff(\()p Fe(v)m(oid)p Ff(\))150 717 y Fg(NLEqn_options)g
6371
Ff(\()p Fe(const)32 b(NLEqn)p 1441 717 28 4 v 39 w(options)f(&)p
6372
Fd(opt)12 b Ff(\))150 877 y Fg(NLEqn_options&)57 b(operator)d(=)46
6373
b Ff(\()p Fe(const)31 b(NLEqn)p 2068 877 V 40 w(options)f(&)p
6374
Fd(opt)12 b Ff(\))150 1036 y Fg(void)54 b(init)46 b Ff(\()p
6375
Fe(v)m(oid)p Ff(\))150 1196 y Fg(void)54 b(copy)46 b
6376
Ff(\()p Fe(const)31 b(NLEqn)p 1231 1196 V 40 w(options)f(&)p
6377
Fd(opt)12 b Ff(\))150 1355 y Fg(void)54 b(set_default_options)d
6378
Ff(\()p Fe(v)m(oid)p Ff(\))150 1514 y Fg(void)j(set_tolerance)49
6379
b Ff(\()p Fe(double)30 b Fd(val)12 b Ff(\))150 1674 y
6380
Fg(double)54 b(tolerance)48 b Ff(\()p Fe(v)m(oid)p Ff(\))150
6381
1833 y Fg(NLEqn)f Ff(\()p Fe(v)m(oid)p Ff(\))150 1943
6382
y Fg(NLEqn)g Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector&,)31
6383
b(const)g Fd(NLFunc)12 b Ff(\))150 2052 y Fg(NLEqn)47
6384
b Ff(\()p Fe(const)31 b(NLEqn)f(&)p Fd(a)12 b Ff(\))150
6385
2212 y Fg(NLEqn&)54 b(operator)h(=)46 b Ff(\()p Fe(const)31
6386
b(NLEqn)f(&)p Fd(a)12 b Ff(\))150 2371 y Fg(void)54 b(resize)47
6387
b Ff(\()p Fe(in)m(t)31 b Fd(n)12 b Ff(\))150 2531 y Fg(void)54
6388
b(set_states)48 b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)32
6389
b(&)p Fd(x)12 b Ff(\))150 2690 y Fg(ColumnVector)56 b(states)47
6390
b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 2849 y
6391
Fg(int)53 b(size)47 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b
6392
Fe(const)150 3009 y Fg(ColumnVector)56 b(solve)47 b Ff(\()p
6393
Fe(v)m(oid)p Ff(\))150 3118 y Fg(ColumnVector)56 b(solve)47
6394
b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)31 b(&)p Fd(x)12
6395
b Ff(\))150 3278 y Fg(ColumnVector)56 b(solve)47 b Ff(\()p
6396
Fe(in)m(t)31 b(&)p Fd(info)12 b Ff(\))150 3387 y Fg(ColumnVector)56
6397
b(solve)47 b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)31
6398
b(&)p Fd(x)p Fe(,)g(in)m(t)g(&)p Fd(info)12 b Ff(\))p
6401
TeXDict begin 40 43 bop 150 -116 a Fp(Chapter)30 b(9:)41
6402
b(Optimization)2520 b(40)150 299 y Fl(9)80 b(Optimization)150
6403
674 y Fo(9.1)68 b(Ob)7 b(jectiv)l(e)47 b(F)-11 b(unctions)150
6404
895 y Fg(Objective)48 b Ff(\()p Fe(v)m(oid)p Ff(\))150
6405
1005 y Fg(Objective)g Ff(\()p Fe(const)31 b Fd(objective_fcn)12
6406
b Ff(\))150 1114 y Fg(Objective)48 b Ff(\()p Fe(const)31
6407
b Fd(objective_fcn)p Fe(,)k(const)c Fd(gradient_fcn)12
6408
b Ff(\))150 1224 y Fg(Objective)48 b Ff(\()p Fe(const)31
6409
b(Ob)5 b(jectiv)m(e)32 b(&)p Fd(a)12 b Ff(\))150 1396
6410
y Fg(Objective&)55 b(operator)g(=)46 b Ff(\()p Fe(const)31
6411
b(Ob)5 b(jectiv)m(e)32 b(&)p Fd(a)12 b Ff(\))150 1567
6412
y Fg(objective_fcn)56 b(objective_function)51 b Ff(\()p
6413
Fe(v)m(oid)p Ff(\))32 b Fe(const;)150 1739 y Fg(Objective&)55
6414
b(set_objective_functio)q(n)c Ff(\()p Fe(const)32 b Fd(objective_fcn)12
6415
b Ff(\))150 1911 y Fg(gradient_fcn)56 b(gradient_function)51
6416
b Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const;)150 2082
6417
y Fg(Objective&)55 b(set_gradient_function)d Ff(\()p
6418
Fe(const)31 b Fd(gradient_fcn)12 b Ff(\))150 2277 y Fo(9.2)68
6419
b(Bounds)150 2499 y Fg(Bounds)47 b Ff(\()p Fe(v)m(oid)p
6420
Ff(\))150 2608 y Fg(Bounds)g Ff(\()p Fe(in)m(t)32 b Fd(n)12
6421
b Ff(\))150 2718 y Fg(Bounds)47 b Ff(\()p Fe(const)32
6422
b(ColumnV)-8 b(ector)31 b Fd(lb)p Fe(,)g(const)g(ColumnV)-8
6423
b(ector)31 b Fd(ub)12 b Ff(\))150 2827 y Fg(Bounds)47
6424
b Ff(\()p Fe(const)32 b(Bounds)d(&)p Fd(a)12 b Ff(\))150
6425
2999 y Fg(Bounds&)54 b(operator)h(=)46 b Ff(\()p Fe(const)31
6426
b(Bounds)f(&)p Fd(a)12 b Ff(\))150 3171 y Fg(Bounds&)54
6427
b(resize)48 b Ff(\()p Fe(in)m(t)31 b Fd(n)12 b Ff(\))150
6428
3342 y Fg(double)54 b(lower_bound)49 b Ff(\()p Fe(in)m(t)31
6429
b Fd(index)12 b Ff(\))32 b Fe(const;)150 3452 y Fg(double)54
6430
b(upper_bound)49 b Ff(\()p Fe(in)m(t)31 b Fd(index)12
6431
b Ff(\))32 b Fe(const;)150 3624 y Fg(ColumnVector)56
6432
b(lower_bounds)49 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const;)150
6433
3733 y Fg(ColumnVector)56 b(upper_bounds)49 b Ff(\()p
6434
Fe(v)m(oid)p Ff(\))32 b Fe(const;)150 3905 y Fg(int)53
6435
b(size)47 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const;)150
6436
4077 y Fg(Bounds&)54 b(set_bound)49 b Ff(\()p Fe(in)m(t)31
6437
b Fd(index)p Fe(,)h(double)e Fd(low)p Fe(,)h(double)f
6438
Fd(high)12 b Ff(\))150 4248 y Fg(Bounds&)54 b(set_bounds)49
6439
b Ff(\()p Fe(double)30 b Fd(low)p Fe(,)i(double)e Fd(high)12
6440
b Ff(\))150 4358 y Fg(Bounds&)54 b(set_bounds)49 b Ff(\()p
6441
Fe(const)31 b(ColumnV)-8 b(ector)31 b Fd(lb)p Fe(,)h(const)e(ColumnV)-8
6442
b(ector)32 b Fd(ub)12 b Ff(\))150 4529 y Fg(Bounds&)54
6443
b(set_lower_bound)c Ff(\()p Fe(in)m(t)32 b Fd(index)p
6444
Fe(,)g(double)e Fd(low)12 b Ff(\))150 4639 y Fg(Bounds&)54
6445
b(set_upper_bound)c Ff(\()p Fe(in)m(t)32 b Fd(index)p
6446
Fe(,)g(double)e Fd(high)12 b Ff(\))150 4811 y Fg(Bounds&)54
6447
b(set_lower_bounds)d Ff(\()p Fe(double)30 b Fd(low)12
6448
b Ff(\))150 4920 y Fg(Bounds&)54 b(set_upper_bounds)d
6449
Ff(\()p Fe(double)30 b Fd(high)12 b Ff(\))150 5092 y
6450
Fg(Bounds&)54 b(set_lower_bounds)d Ff(\()p Fe(const)31
6451
b(ColumnV)-8 b(ector)31 b Fd(lb)12 b Ff(\))150 5202 y
6452
Fg(Bounds&)54 b(set_upper_bounds)d Ff(\()p Fe(const)31
6453
b(ColumnV)-8 b(ector)31 b Fd(ub)12 b Ff(\))150 5373 y
6454
Fg(ostream&)55 b(operator)f(<<)47 b Ff(\()p Fe(ostream)31
6455
b(&)p Fd(os)p Fe(,)g(const)g(Bounds)e(&)p Fd(b)12 b Ff(\))p
6458
TeXDict begin 41 44 bop 150 -116 a Fp(Chapter)30 b(9:)41
6459
b(Optimization)2520 b(41)150 299 y Fo(9.3)68 b(Linear)45
6460
b(Constrain)l(ts)150 509 y Fg(LinConst)j Ff(\()p Fe(v)m(oid)p
6461
Ff(\))150 618 y Fg(LinConst)g Ff(\()p Fe(in)m(t)31 b
6462
Fd(nclin)p Fe(,)h(in)m(t)f Fd(nx)12 b Ff(\))150 728 y
6463
Fg(LinConst)48 b Ff(\()p Fe(in)m(t)31 b Fd(nclin_eq)p
6464
Fe(,)i(in)m(t)e Fd(nclin_ineq)p Fe(,)j(in)m(t)c Fd(nx)12
6465
b Ff(\))150 838 y Fg(LinConst)48 b Ff(\()p Fe(const)31
6466
b(ColumnV)-8 b(ector)31 b(&)p Fd(lb)p Fe(,)g(const)g(Matrix)g(&)p
6467
Fd(A)p Fe(,)g(const)g(ColumnV)-8 b(ector)31 b(&)p Fd(ub)12
6468
b Ff(\))150 947 y Fg(LinConst)48 b Ff(\()p Fe(const)31
6469
b(Matrix)g(&)p Fd(A_eq)p Fe(,)h(const)f(ColumnV)-8 b(ector)31
6470
b(&)p Fd(b_eq)p Fe(,)g(const)g(Matrix)565 1057 y(&)p
6471
Fd(A_ineq)p Fe(,)h(const)f(ColumnV)-8 b(ector)31 b(&)p
6472
Fd(b_ineq)12 b Ff(\))150 1166 y Fg(LinConst)48 b Ff(\()p
6473
Fe(const)31 b(LinConst)f(&)p Fd(a)12 b Ff(\))150 1327
6474
y Fg(LinConst&)55 b(operator)g(=)46 b Ff(\()p Fe(const)31
6475
b(LinConst)e(&)p Fd(a)12 b Ff(\))150 1487 y Fg(LinConst&)55
6476
b(resize)47 b Ff(\()p Fe(in)m(t)32 b Fd(nclin)p Fe(,)g(in)m(t)f
6477
Fd(n)12 b Ff(\))150 1647 y Fg(Matrix)54 b(constraint_matrix)d
6478
Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const;)150 1807 y
6479
Fg(LinConst&)55 b(set_constraint_matrix)d Ff(\()p Fe(const)31
6480
b(Matrix)g(&)p Fd(A)12 b Ff(\))150 1967 y Fg(Matrix)54
6481
b(eq_constraint_matrix)e Ff(\()p Fe(v)m(oid)p Ff(\))31
6482
b Fe(const;)150 2077 y Fg(Matrix)54 b(ineq_constraint_matrix)e
6483
Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const;)150 2237 y
6484
Fg(ColumnVector)56 b(eq_constraint_vector)51 b Ff(\()p
6485
Fe(v)m(oid)p Ff(\))32 b Fe(const;)150 2347 y Fg(ColumnVector)56
6486
b(ineq_constraint_vector)c Ff(\()p Fe(v)m(oid)p Ff(\))32
6487
b Fe(const;)150 2507 y Fg(ostream&)55 b(operator)f(<<)47
6488
b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p Fe(,)g(const)g(LinConst)f(&)p
6489
Fd(b)12 b Ff(\))150 2690 y Fo(9.4)68 b(Nonlinear)46 b(Constrain)l(ts)
6490
150 2900 y Fg(NLConst)i Ff(\()p Fe(v)m(oid)p Ff(\))150
6491
3010 y Fg(NLConst)g Ff(\()p Fe(in)m(t)31 b Fd(n)12 b
6492
Ff(\))150 3119 y Fg(NLConst)48 b Ff(\()p Fe(const)31
6493
b(ColumnV)-8 b(ector)31 b Fd(lb)p Fe(,)g(const)g(NLF)-8
6494
b(unc)31 b Fd(f)p Fe(,)f(const)h(ColumnV)-8 b(ector)32
6495
b Fd(ub)12 b Ff(\))150 3229 y Fg(NLConst)48 b Ff(\()p
6496
Fe(const)31 b(NLConst)f(&)p Fd(a)12 b Ff(\))150 3389
6497
y Fg(NLConst&)55 b(operator)f(=)46 b Ff(\()p Fe(const)31
6498
b(NLConst)g(&)p Fd(a)12 b Ff(\))150 3573 y Fo(9.5)68
6499
b(Quadratic)46 b(Programming)150 3783 y Fg(QP)g Ff(\()p
6500
Fe(v)m(oid)p Ff(\))150 3892 y Fg(QP)g Ff(\()p Fe(const)31
6501
b(ColumnV)-8 b(ector)32 b(&)p Fd(x)p Fe(,)e(const)h(Matrix)g(&)p
6502
Fd(H)12 b Ff(\))150 4002 y Fg(QP)46 b Ff(\()p Fe(const)31
6503
b(ColumnV)-8 b(ector)32 b(&)p Fd(x)p Fe(,)e(const)h(Matrix)g(&)p
6504
Fd(H)p Fe(,)g(const)g(ColumnV)-8 b(ector)31 b(&)p Fd(c)12
6505
b Ff(\))150 4111 y Fg(QP)46 b Ff(\()p Fe(const)31 b(ColumnV)-8
6506
b(ector)32 b(&)p Fd(x)p Fe(,)e(const)h(Matrix)g(&)p Fd(H)p
6507
Fe(,)g(const)g(Bounds)e(&)p Fd(b)12 b Ff(\))150 4221
6508
y Fg(QP)46 b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)32
6509
b(&)p Fd(x)p Fe(,)e(const)h(Matrix)g(&)p Fd(H)p Fe(,)g(const)g
6510
(LinConst)e(&)p Fd(lc)12 b Ff(\))150 4331 y Fg(QP)46
6511
b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)32 b(&)p Fd(x)p
6512
Fe(,)e(const)h(Matrix)g(&)p Fd(H)p Fe(,)g(const)g(ColumnV)-8
6513
b(ector)31 b(&)p Fd(c)p Fe(,)g(const)565 4440 y(Bounds)f(&)p
6514
Fd(b)12 b Ff(\))150 4550 y Fg(QP)46 b Ff(\()p Fe(const)31
6515
b(ColumnV)-8 b(ector)32 b(&)p Fd(x)p Fe(,)e(const)h(Matrix)g(&)p
6516
Fd(H)p Fe(,)g(const)g(ColumnV)-8 b(ector)31 b(&)p Fd(c)p
6517
Fe(,)g(const)565 4659 y(LinConst)f(&)p Fd(lc)12 b Ff(\))150
6518
4769 y Fg(QP)46 b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)32
6519
b(&)p Fd(x)p Fe(,)e(const)h(Matrix)g(&)p Fd(H)p Fe(,)g(const)g(Bounds)e
6520
(&)p Fd(b)p Fe(,)i(const)g(LinConst)565 4879 y(&)p Fd(lc)12
6521
b Ff(\))150 4988 y Fg(QP)46 b Ff(\()p Fe(const)31 b(ColumnV)-8
6522
b(ector)32 b(&)p Fd(x)p Fe(,)e(const)h(Matrix)g(&)p Fd(H)p
6523
Fe(,)g(const)g(ColumnV)-8 b(ector)31 b(&)p Fd(c)p Fe(,)g(const)565
6524
5098 y(Bounds)f(&)p Fd(b)p Fe(,)g(const)h(LinConst)f(&)p
6525
Fd(lc)12 b Ff(\))150 5258 y Fg(virtual)54 b(ColumnVector)i(minimize)48
6526
b Ff(\()p Fe(v)m(oid)p Ff(\))150 5367 y Fg(virtual)54
6527
b(ColumnVector)i(minimize)48 b Ff(\()p Fe(double)31 b(&)p
6528
Fd(objf)12 b Ff(\))p eop end
6530
TeXDict begin 42 45 bop 150 -116 a Fp(Chapter)30 b(9:)41
6531
b(Optimization)2520 b(42)150 299 y Fg(virtual)54 b(ColumnVector)i
6532
(minimize)48 b Ff(\()p Fe(double)31 b(&)p Fd(objf)p Fe(,)g(in)m(t)g(&)p
6533
Fd(inform)12 b Ff(\))150 408 y Fg(virtual)54 b(ColumnVector)i(minimize)
6534
48 b Ff(\()p Fe(double)31 b(&)p Fd(objf)p Fe(,)g(in)m(t)g(&)p
6535
Fd(inform)p Fe(,)h(ColumnV)-8 b(ector)565 518 y(&)p Fd(lambda)12
6536
b Ff(\))32 b Fe(=)e(0;)150 677 y Fg(virtual)54 b(ColumnVector)i
6537
(minimize)48 b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)32
6538
b(&)p Fd(x)12 b Ff(\))150 787 y Fg(virtual)54 b(ColumnVector)i
6539
(minimize)48 b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)32
6540
b(&)p Fd(x)p Fe(,)e(double)g(&)p Fd(objf)12 b Ff(\))150
6541
897 y Fg(virtual)54 b(ColumnVector)i(minimize)48 b Ff(\()p
6542
Fe(const)31 b(ColumnV)-8 b(ector)32 b(&)p Fd(x)p Fe(,)e(double)g(&)p
6543
Fd(objf)p Fe(,)i(in)m(t)565 1006 y(&)p Fd(inform)12 b
6544
Ff(\))150 1116 y Fg(virtual)54 b(ColumnVector)i(minimize)48
6545
b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)32 b(&)p Fd(x)p
6546
Fe(,)e(double)g(&)p Fd(objf)p Fe(,)i(in)m(t)565 1225
6547
y(&)p Fd(inform)p Fe(,)g(ColumnV)-8 b(ector)31 b(&)p
6548
Fd(lambda)12 b Ff(\))150 1385 y Fg(ColumnVector)56 b(minimize)48
6549
b Ff(\()p Fe(double)30 b(&)p Fd(objf)p Fe(,)i(in)m(t)e(&)p
6550
Fd(inform)p Fe(,)j(ColumnV)-8 b(ector)31 b(&)p Fd(lambda)12
6551
b Ff(\))150 1567 y Fo(9.6)68 b(Nonlinear)46 b(Programming)150
6552
1777 y Fg(NLP)g Ff(\()p Fe(v)m(oid)p Ff(\))150 1886 y
6553
Fg(NLP)g Ff(\()p Fe(const)32 b(ColumnV)-8 b(ector)31
6554
b(&)p Fd(x)p Fe(,)f(const)h(Ob)5 b(jectiv)m(e)32 b(&)p
6555
Fd(phi)12 b Ff(\))150 1996 y Fg(NLP)46 b Ff(\()p Fe(const)32
6556
b(ColumnV)-8 b(ector)31 b(&)p Fd(x)p Fe(,)f(const)h(Ob)5
6557
b(jectiv)m(e)32 b(&)p Fd(phi)p Fe(,)f(const)g(Bounds)f(&)p
6558
Fd(b)12 b Ff(\))150 2105 y Fg(NLP)46 b Ff(\()p Fe(const)32
6559
b(ColumnV)-8 b(ector)31 b(&)p Fd(x)p Fe(,)f(const)h(Ob)5
6560
b(jectiv)m(e)32 b(&)p Fd(phi)p Fe(,)f(const)g(Bounds)f(&)p
6561
Fd(b)p Fe(,)g(const)565 2215 y(LinConst)g(&)p Fd(lc)12
6562
b Ff(\))150 2325 y Fg(NLP)46 b Ff(\()p Fe(const)32 b(ColumnV)-8
6563
b(ector)31 b(&)p Fd(x)p Fe(,)f(const)h(Ob)5 b(jectiv)m(e)32
6564
b(&)p Fd(phi)p Fe(,)f(const)g(Bounds)f(&)p Fd(b)p Fe(,)g(const)565
6565
2434 y(LinConst)g(&)p Fd(lc)p Fe(,)h(const)g(NLConst)f(&)p
6566
Fd(nlc)12 b Ff(\))150 2544 y Fg(NLP)46 b Ff(\()p Fe(const)32
6567
b(ColumnV)-8 b(ector)31 b(&)p Fd(x)p Fe(,)f(const)h(Ob)5
6568
b(jectiv)m(e)32 b(&)p Fd(phi)p Fe(,)f(const)g(LinConst)f(&)p
6569
Fd(lc)12 b Ff(\))150 2653 y Fg(NLP)46 b Ff(\()p Fe(const)32
6570
b(ColumnV)-8 b(ector)31 b(&)p Fd(x)p Fe(,)f(const)h(Ob)5
6571
b(jectiv)m(e)32 b(&)p Fd(phi)p Fe(,)f(const)g(LinConst)f(&)p
6572
Fd(lc)p Fe(,)h(const)565 2763 y(NLConst)f(&)p Fd(nlc)12
6573
b Ff(\))150 2873 y Fg(NLP)46 b Ff(\()p Fe(const)32 b(ColumnV)-8
6574
b(ector)31 b(&)p Fd(x)p Fe(,)f(const)h(Ob)5 b(jectiv)m(e)32
6575
b(&)p Fd(phi)p Fe(,)f(const)g(NLConst)f(&)p Fd(nlc)12
6576
b Ff(\))150 2982 y Fg(NLP)46 b Ff(\()p Fe(const)32 b(ColumnV)-8
6577
b(ector)31 b(&)p Fd(x)p Fe(,)f(const)h(Ob)5 b(jectiv)m(e)32
6578
b(&)p Fd(phi)p Fe(,)f(const)g(Bounds)f(&)p Fd(b)p Fe(,)g(const)565
6579
3092 y(NLConst)g(&)p Fd(nlc)12 b Ff(\))150 3251 y Fg(NLP&)54
6580
b(operator)g(=)46 b Ff(\()p Fe(const)31 b(NLP)f(&)p Fd(a)12
6581
b Ff(\))150 3411 y Fg(int)53 b(size)47 b Ff(\()p Fe(v)m(oid)p
6582
Ff(\))32 b Fe(const)150 3570 y Fg(ColumnVector)56 b(minimize)48
6583
b Ff(\()p Fe(v)m(oid)p Ff(\))150 3680 y Fg(ColumnVector)56
6584
b(minimize)48 b Ff(\()p Fe(double)30 b(&)p Fd(objf)12
6585
b Ff(\))150 3789 y Fg(ColumnVector)56 b(minimize)48 b
6586
Ff(\()p Fe(double)30 b(&)p Fd(objf)p Fe(,)i(in)m(t)e(&)p
6587
Fd(inform)12 b Ff(\))150 3899 y Fg(ColumnVector)56 b(minimize)48
6588
b Ff(\()p Fe(double)30 b(&)p Fd(objf)p Fe(,)i(in)m(t)e(&)p
6589
Fd(inform)p Fe(,)j(ColumnV)-8 b(ector)31 b(&)p Fd(lambda)12
6590
b Ff(\))150 4058 y Fg(ColumnVector)56 b(minimize)48 b
6591
Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)31 b(&)p Fd(x)12
6592
b Ff(\))150 4168 y Fg(ColumnVector)56 b(minimize)48 b
6593
Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)31 b(&)p Fd(x)p
6594
Fe(,)g(double)f(&)p Fd(objf)12 b Ff(\))150 4277 y Fg(ColumnVector)56
6595
b(minimize)48 b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)31
6596
b(&)p Fd(x)p Fe(,)g(double)f(&)p Fd(objf)p Fe(,)h(in)m(t)g(&)p
6597
Fd(inform)12 b Ff(\))150 4387 y Fg(ColumnVector)56 b(minimize)48
6598
b Ff(\()p Fe(const)31 b(ColumnV)-8 b(ector)31 b(&)p Fd(x)p
6599
Fe(,)g(double)f(&)p Fd(objf)p Fe(,)h(in)m(t)g(&)p Fd(inform)p
6600
Fe(,)565 4496 y(ColumnV)-8 b(ector)31 b(&)p Fd(lambda)12
6603
TeXDict begin 43 46 bop 150 -116 a Fp(Chapter)30 b(10:)41
6604
b(Quadrature)2538 b(43)150 299 y Fl(10)80 b(Quadrature)150
6605
582 y Fg(Quad)47 b Ff(\()p Fe(in)m(tegrand)p 822 582
6606
28 4 v 41 w(fcn)30 b Fd(fcn)12 b Ff(\))150 691 y Fg(Quad)47
6607
b Ff(\()p Fe(in)m(tegrand)p 822 691 V 41 w(fcn)30 b Fd(fcn)p
6608
Fe(,)h(double)f Fd(abs)p Fe(,)h(double)f Fd(rel)12 b
6609
Ff(\))150 842 y Fg(virtual)54 b(double)h(integrate)48
6610
b Ff(\()p Fe(v)m(oid)p Ff(\))150 951 y Fg(virtual)54
6611
b(double)h(integrate)48 b Ff(\()p Fe(in)m(t)31 b(&)p
6612
Fd(ier)12 b Ff(\))150 1061 y Fg(virtual)54 b(double)h(integrate)48
6613
b Ff(\()p Fe(in)m(t)31 b(&)p Fd(ier)p Fe(,)g(in)m(t)g(&)p
6614
Fd(neval)12 b Ff(\))150 1171 y Fg(virtual)54 b(double)h(integrate)48
6615
b Ff(\()p Fe(in)m(t)31 b(&)p Fd(ier)p Fe(,)g(in)m(t)g(&)p
6616
Fd(neval)p Fe(,)h(double)e(&)p Fd(abserr)12 b Ff(\))31
6617
b Fe(=)f(0)150 1321 y Fg(Quad_options)49 b Ff(\()p Fe(v)m(oid)p
6618
Ff(\))150 1431 y Fg(Quad_options)g Ff(\()p Fe(const)31
6619
b(Quad)p 1320 1431 V 40 w(options)f(&)p Fd(opt)12 b Ff(\))150
6620
1582 y Fg(Quad_options&)56 b(operator)f(=)46 b Ff(\()p
6621
Fe(const)31 b(Quad)p 1948 1582 V 39 w(options)g(&)p Fd(opt)12
6622
b Ff(\))150 1732 y Fg(void)54 b(init)46 b Ff(\()p Fe(v)m(oid)p
6623
Ff(\))150 1883 y Fg(void)54 b(copy)46 b Ff(\()p Fe(const)31
6624
b(Quad)p 1163 1883 V 40 w(options)f(&)p Fd(opt)12 b Ff(\))150
6625
2034 y Fg(void)54 b(set_default_options)d Ff(\()p Fe(v)m(oid)p
6626
Ff(\))150 2184 y Fg(void)j(set_absolute_tolerance)e Ff(\()p
6627
Fe(double)30 b Fd(val)12 b Ff(\))150 2335 y Fg(void)54
6628
b(set_relative_tolerance)e Ff(\()p Fe(double)30 b Fd(val)12
6629
b Ff(\))150 2486 y Fg(double)54 b(absolute_tolerance)d
6630
Ff(\()p Fe(v)m(oid)p Ff(\))150 2595 y Fg(double)j(relative_tolerance)d
6631
Ff(\()p Fe(v)m(oid)p Ff(\))150 2746 y Fg(DefQuad)d Ff(\()p
6632
Fe(in)m(tegrand)p 979 2746 V 40 w(fcn)30 b Fd(fcn)12
6633
b Ff(\))150 2856 y Fg(DefQuad)48 b Ff(\()p Fe(in)m(tegrand)p
6634
979 2856 V 40 w(fcn)30 b Fd(fcn)p Fe(,)i(double)e Fd(ll)p
6635
Fe(,)h(double)f Fd(ul)12 b Ff(\))150 2965 y Fg(DefQuad)48
6636
b Ff(\()p Fe(in)m(tegrand)p 979 2965 V 40 w(fcn)30 b
6637
Fd(fcn)p Fe(,)i(double)e Fd(ll)p Fe(,)h(double)f Fd(ul)p
6638
Fe(,)h(double)f Fd(abs)p Fe(,)h(double)f Fd(rel)12 b
6639
Ff(\))150 3075 y Fg(DefQuad)48 b Ff(\()p Fe(in)m(tegrand)p
6640
979 3075 V 40 w(fcn)30 b Fd(fcn)p Fe(,)i(double)e Fd(ll)p
6641
Fe(,)h(double)f Fd(ul)p Fe(,)h(const)g(ColumnV)-8 b(ector)31
6642
b(&)p Fd(sing)12 b Ff(\))150 3184 y Fg(DefQuad)48 b Ff(\()p
6643
Fe(in)m(tegrand)p 979 3184 V 40 w(fcn)30 b Fd(fcn)p Fe(,)i(const)f
6644
(ColumnV)-8 b(ector)31 b(&)p Fd(sing)p Fe(,)h(double)d
6645
Fd(abs)p Fe(,)j(double)e Fd(rel)12 b Ff(\))150 3294 y
6646
Fg(DefQuad)48 b Ff(\()p Fe(in)m(tegrand)p 979 3294 V
6647
40 w(fcn)30 b Fd(fcn)p Fe(,)i(const)f(ColumnV)-8 b(ector)31
6648
b(&)p Fd(sing)12 b Ff(\))150 3404 y Fg(DefQuad)48 b Ff(\()p
6649
Fe(in)m(tegrand)p 979 3404 V 40 w(fcn)30 b Fd(fcn)p Fe(,)i(double)e
6650
Fd(ll)p Fe(,)h(double)f Fd(ul)p Fe(,)h(const)g(ColumnV)-8
6651
b(ector)31 b(&)p Fd(sing)p Fe(,)565 3513 y(double)f Fd(abs)p
6652
Fe(,)i(double)d Fd(rel)12 b Ff(\))150 3664 y Fg(IndefQuad)48
6653
b Ff(\()p Fe(in)m(tegrand)p 1083 3664 V 41 w(fcn)30 b
6654
Fd(fcn)12 b Ff(\))150 3773 y Fg(IndefQuad)48 b Ff(\()p
6655
Fe(in)m(tegrand)p 1083 3773 V 41 w(fcn)30 b Fd(fcn)p
6656
Fe(,)i(double)d Fd(b)p Fe(,)i(In)m(tegralT)m(yp)s(e)g
6657
Fd(t)12 b Ff(\))150 3883 y Fg(IndefQuad)48 b Ff(\()p
6658
Fe(in)m(tegrand)p 1083 3883 V 41 w(fcn)30 b Fd(fcn)p
6659
Fe(,)i(double)d Fd(b)p Fe(,)i(In)m(tegralT)m(yp)s(e)g
6660
Fd(t)p Fe(,)g(double)f Fd(abs)p Fe(,)i(double)e Fd(rel)12
6661
b Ff(\))150 3993 y Fg(IndefQuad)48 b Ff(\()p Fe(in)m(tegrand)p
6662
1083 3993 V 41 w(fcn)30 b Fd(fcn)p Fe(,)i(double)d Fd(abs)p
6663
Fe(,)j(double)e Fd(rel)12 b Ff(\))150 4167 y Fo(10.1)68
6664
b(Collo)t(cation)47 b(W)-11 b(eigh)l(ts)150 4367 y Fg(CollocWt)48
6665
b Ff(\()p Fe(v)m(oid)p Ff(\))150 4477 y Fg(CollocWt)g
6666
Ff(\()p Fe(in)m(t)31 b Fd(n)p Fe(,)g(in)m(t)g Fd(inc_l)p
6667
Fe(,)h(in)m(t)f Fd(inc_r)12 b Ff(\))150 4586 y Fg(CollocWt)48
6668
b Ff(\()p Fe(in)m(t)31 b Fd(n)p Fe(,)g(in)m(t)g Fd(inc_l)p
6669
Fe(,)h(in)m(t)f Fd(inc_r)p Fe(,)h(double)e Fd(l)p Fe(,)h(double)f
6670
Fd(r)12 b Ff(\))150 4696 y Fg(CollocWt)48 b Ff(\()p Fe(in)m(t)31
6671
b Fd(n)p Fe(,)g(double)f Fd(a)p Fe(,)h(double)f Fd(b)p
6672
Fe(,)h(in)m(t)f Fd(inc_l)p Fe(,)j(in)m(t)d Fd(inc_r)12
6673
b Ff(\))150 4805 y Fg(CollocWt)48 b Ff(\()p Fe(in)m(t)31
6674
b Fd(n)p Fe(,)g(in)m(t)g Fd(inc_l)p Fe(,)h(in)m(t)f Fd(inc_r)p
6675
Fe(,)h(double)e Fd(l)p Fe(,)h(double)f Fd(r)12 b Ff(\))150
6676
4915 y Fg(CollocWt)48 b Ff(\()p Fe(const)31 b(Collo)s(cWt&)p
6677
Ff(\))150 5066 y Fg(CollocWt&)55 b(operator)g(=)46 b
6678
Ff(\()p Fe(const)31 b(Collo)s(cWt&)p Ff(\))150 5216 y
6679
Fg(CollocWt&)55 b(resize)47 b Ff(\()p Fe(in)m(t)32 b
6680
Fd(ncol)12 b Ff(\))150 5367 y Fg(CollocWt&)55 b(add_left)48
6681
b Ff(\()p Fe(v)m(oid)p Ff(\))p eop end
6683
TeXDict begin 44 47 bop 150 -116 a Fp(Chapter)30 b(10:)41
6684
b(Quadrature)2538 b(44)150 299 y Fg(CollocWt&)55 b(add_right)48
6685
b Ff(\()p Fe(v)m(oid)p Ff(\))150 458 y Fg(CollocWt&)55
6686
b(delete_left)49 b Ff(\()p Fe(v)m(oid)p Ff(\))150 568
6687
y Fg(CollocWt&)55 b(delete_right)49 b Ff(\()p Fe(v)m(oid)p
6688
Ff(\))150 727 y Fg(CollocWt&)55 b(set_left)48 b Ff(\()p
6689
Fe(double)30 b Fd(val)12 b Ff(\))150 837 y Fg(CollocWt&)55
6690
b(set_right)48 b Ff(\()p Fe(double)31 b Fd(val)12 b Ff(\))150
6691
996 y Fg(CollocWt&)55 b(set_alpha)48 b Ff(\()p Fe(double)31
6692
b Fd(val)12 b Ff(\))150 1106 y Fg(CollocWt&)55 b(set_beta)48
6693
b Ff(\()p Fe(double)30 b Fd(val)12 b Ff(\))150 1265 y
6694
Fg(int)53 b(ncol)47 b Ff(\()p Fe(v)m(oid)p Ff(\))32 b
6695
Fe(const)150 1425 y Fg(int)53 b(left_included)d Ff(\()p
6696
Fe(v)m(oid)p Ff(\))31 b Fe(const)150 1534 y Fg(int)53
6697
b(right_included)d Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150
6698
1694 y Fg(double)54 b(left)47 b Ff(\()p Fe(v)m(oid)p
6699
Ff(\))31 b Fe(const)150 1803 y Fg(double)54 b(right)47
6700
b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 1913 y
6701
Fg(double)54 b(width)47 b Ff(\()p Fe(v)m(oid)p Ff(\))32
6702
b Fe(const)150 2072 y Fg(double)54 b(alpha)47 b Ff(\()p
6703
Fe(v)m(oid)p Ff(\))32 b Fe(const)150 2182 y Fg(double)54
6704
b(beta)47 b Ff(\()p Fe(v)m(oid)p Ff(\))31 b Fe(const)150
6705
2341 y Fg(ColumnVector)56 b(roots)47 b Ff(\()p Fe(v)m(oid)p
6706
Ff(\))150 2451 y Fg(ColumnVector)56 b(quad)47 b Ff(\()p
6707
Fe(v)m(oid)p Ff(\))150 2560 y Fg(ColumnVector)56 b(quad_weights)49
6708
b Ff(\()p Fe(v)m(oid)p Ff(\))150 2720 y Fg(Matrix)54
6709
b(first)47 b Ff(\()p Fe(v)m(oid)p Ff(\))150 2829 y Fg(Matrix)54
6710
b(second)47 b Ff(\()p Fe(v)m(oid)p Ff(\))150 2989 y Fg(ostream&)55
6711
b(operator)f(<<)47 b Ff(\()p Fe(ostream)31 b(&)p Fd(os)p
6712
Fe(,)g(const)g(Collo)s(cWt)h(&)p Fd(c)12 b Ff(\))p eop
6715
TeXDict begin 45 48 bop 150 -116 a Fp(Chapter)30 b(11:)41
6716
b(Ordinary)29 b(Di\013eren)m(tial)k(Equations)1735 b(45)150
6717
299 y Fl(11)80 b(Ordinary)54 b(Di\013eren)l(tial)d(Equations)150
6718
608 y Fg(ODE_options)e Ff(\()p Fe(v)m(oid)p Ff(\))150
6719
717 y Fg(ODE_options)g Ff(\()p Fe(const)31 b(ODE)p 1252
6720
717 28 4 v 40 w(options)g(&)p Fd(opt)12 b Ff(\))150 877
6721
y Fg(ODE_options&)56 b(operator)f(=)45 b Ff(\()p Fe(const)32
6722
b(ODE)p 1880 877 V 40 w(options)e(&)p Fd(opt)12 b Ff(\))150
6723
1036 y Fg(void)54 b(init)46 b Ff(\()p Fe(v)m(oid)p Ff(\))150
6724
1196 y Fg(void)54 b(copy)46 b Ff(\()p Fe(const)31 b(ODE)p
6725
1147 1196 V 40 w(options)g(&)p Fd(opt)12 b Ff(\))150
6726
1355 y Fg(void)54 b(set_default_options)d Ff(\()p Fe(v)m(oid)p
6727
Ff(\))150 1514 y Fg(void)j(set_absolute_tolerance)e Ff(\()p
6728
Fe(double)30 b Fd(val)12 b Ff(\))150 1674 y Fg(void)54
6729
b(set_initial_step_size)d Ff(\()p Fe(double)31 b Fd(val)12
6730
b Ff(\))150 1833 y Fg(void)54 b(set_maximum_step_size)d
6731
Ff(\()p Fe(double)31 b Fd(val)12 b Ff(\))150 1993 y Fg(void)54
6732
b(set_minimum_step_size)d Ff(\()p Fe(double)31 b Fd(val)12
6733
b Ff(\))150 2152 y Fg(void)54 b(set_relative_tolerance)e
6734
Ff(\()p Fe(double)30 b Fd(val)12 b Ff(\))150 2311 y Fg(double)54
6735
b(absolute_tolerance)d Ff(\()p Fe(v)m(oid)p Ff(\))150
6736
2421 y Fg(double)j(initial_step_size)d Ff(\()p Fe(v)m(oid)p
6737
Ff(\))150 2531 y Fg(double)j(maximum_step_size)d Ff(\()p
6738
Fe(v)m(oid)p Ff(\))150 2640 y Fg(double)j(minimum_step_size)d
6739
Ff(\()p Fe(v)m(oid)p Ff(\))150 2750 y Fg(double)j(relative_tolerance)d
6740
Ff(\()p Fe(v)m(oid)p Ff(\))150 2909 y Fg(ODE)46 b Ff(\()p
6741
Fe(v)m(oid)p Ff(\))150 3019 y Fg(ODE)g Ff(\()p Fe(in)m(t)32
6742
b Fd(n)12 b Ff(\))150 3128 y Fg(ODE)46 b Ff(\()p Fe(const)32
6743
b(ColumnV)-8 b(ector)31 b(&)p Fd(state)p Fe(,)h(double)e
6744
Fd(time)p Fe(,)h(const)g(ODEF)-8 b(unc)31 b(&)p Fd(f)12
6745
b Ff(\))150 3288 y Fg(virtual)54 b(int)g(size)46 b Ff(\()p
6746
Fe(v)m(oid)p Ff(\))32 b Fe(const)150 3447 y Fg(virtual)54
6747
b(ColumnVector)i(state)47 b Ff(\()p Fe(v)m(oid)p Ff(\))32
6748
b Fe(const)150 3606 y Fg(virtual)54 b(double)h(time)46
6749
b Ff(\()p Fe(v)m(oid)p Ff(\))32 b Fe(const)150 3766 y
6750
Fg(virtual)54 b(void)g(force_restart)49 b Ff(\()p Fe(v)m(oid)p
6751
Ff(\))150 3925 y Fg(virtual)54 b(void)g(initialize)48
6752
b Ff(\()p Fe(const)32 b(ColumnV)-8 b(ector)31 b(&)p Fd(x)p
6753
Fe(,)f(double)g Fd(t)12 b Ff(\))150 4085 y Fg(virtual)54
6754
b(void)g(set_stop_time)49 b Ff(\()p Fe(double)31 b Fd(t)12
6755
b Ff(\))150 4244 y Fg(virtual)54 b(void)g(clear_stop_time)c
6756
Ff(\()p Fe(v)m(oid)p Ff(\))150 4403 y Fg(virtual)k(ColumnVector)i
6757
(integrate)49 b Ff(\()p Fe(double)30 b Fd(t)12 b Ff(\))150
6758
4563 y Fg(void)54 b(integrate)48 b Ff(\()p Fe(in)m(t)31
6759
b Fd(nsteps)p Fe(,)h(double)e Fd(tstep)p Fe(,)i(ostream)g(&)p
6760
Fd(s)12 b Ff(\))150 4722 y Fg(Matrix)54 b(integrate)48
6761
b Ff(\()p Fe(const)32 b(ColumnV)-8 b(ector)31 b(&)p Fd(tout)12
6762
b Ff(\))150 4832 y Fg(Matrix)54 b(integrate)48 b Ff(\()p
6763
Fe(const)32 b(ColumnV)-8 b(ector)31 b(&)p Fd(tout)p Fe(,)g(const)g
6764
(ColumnV)-8 b(ector)31 b(&)p Fd(tcrit)12 b Ff(\))p eop
6767
TeXDict begin 46 49 bop 150 -116 a Fp(Chapter)30 b(12:)41
6768
b(Di\013eren)m(tial)33 b(Algebraic)f(Equations)1720 b(46)150
6769
299 y Fl(12)80 b(Di\013eren)l(tial)52 b(Algebraic)g(Equations)150
6770
608 y Fg(DAE)46 b Ff(\()p Fe(v)m(oid)p Ff(\))150 717
6771
y Fg(DAE)g Ff(\()p Fe(in)m(t)32 b Fd(n)12 b Ff(\))150
6772
827 y Fg(DAE)46 b Ff(\()p Fe(const)32 b(ColumnV)-8 b(ector)31
6773
b(&)p Fd(x)p Fe(,)f(double)g Fd(time)p Fe(,)i(D)m(AEF)-8
6774
b(unc)32 b(&)p Fd(f)12 b Ff(\))150 936 y Fg(DAE)46 b
6775
Ff(\()p Fe(const)32 b(ColumnV)-8 b(ector)31 b(&)p Fd(x)p
6776
Fe(,)f(ColumnV)-8 b(ector)32 b(&)p Fd(xdot)p Fe(,)f(double)f
6777
Fd(time)p Fe(,)i(D)m(AEF)-8 b(unc)31 b(&)p Fd(f)12 b
6778
Ff(\))150 1096 y Fg(ColumnVector)56 b(deriv)47 b Ff(\()p
6779
Fe(v)m(oid)p Ff(\))150 1255 y Fg(virtual)54 b(void)g(initialize)48
6780
b Ff(\()p Fe(const)32 b(ColumnV)-8 b(ector)31 b(&)p Fd(x)p
6781
Fe(,)f(double)g Fd(t)12 b Ff(\))150 1365 y Fg(virtual)54
6782
b(void)g(initialize)48 b Ff(\()p Fe(const)32 b(ColumnV)-8
6783
b(ector)31 b(&)p Fd(x)p Fe(,)f(ColumnV)-8 b(ector)32
6784
b(&)p Fd(xdot)p Fe(,)565 1474 y(double)e Fd(t)12 b Ff(\))150
6785
1634 y Fg(ColumnVector)56 b(integrate)48 b Ff(\()p Fe(double)30
6786
b Fd(t)12 b Ff(\))150 1793 y Fg(Matrix)54 b(integrate)48
6787
b Ff(\()p Fe(const)32 b(ColumnV)-8 b(ector)31 b(&)p Fd(tout)p
6788
Fe(,)g(Matrix)h(&)p Fd(xdot_out)12 b Ff(\))150 1903 y
6789
Fg(Matrix)54 b(integrate)48 b Ff(\()p Fe(const)32 b(ColumnV)-8
6790
b(ector)31 b(&)p Fd(tout)p Fe(,)g(Matrix)h(&)p Fd(xdot_out)p
6791
Fe(,)g(const)565 2012 y(ColumnV)-8 b(ector)31 b(&)p Fd(tcrit)12
6794
TeXDict begin 47 50 bop 150 -116 a Fp(Chapter)30 b(13:)41
6795
b(Error)30 b(Handling)2393 b(47)150 299 y Fl(13)80 b(Error)53
6796
b(Handling)p eop end
6798
TeXDict begin 48 51 bop 150 -116 a Fp(Chapter)30 b(14:)41
6799
b(Installation)2548 b(48)150 299 y Fl(14)80 b(Installation)p
6802
TeXDict begin 49 52 bop 150 -116 a Fp(Chapter)30 b(15:)41
6803
b(Bugs)2803 b(49)150 299 y Fl(15)80 b(Bugs)p eop end
6805
TeXDict begin 50 53 bop 150 -116 a Fp(Chapter)30 b(15:)41
6806
b(Concept)31 b(Index)2417 b(50)150 299 y Fl(Concept)52
6807
b(Index)150 638 y Fo(A)150 754 y Fb(ac)n(kno)n(wledgemen)n(ts)22
6808
b Fa(.)12 b(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
6809
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)47 b Fb(1)150
6810
842 y(arra)n(ys)6 b Fa(.)13 b(.)g(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g
6811
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
6812
g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)32 b Fb(14)150
6813
1091 y Fo(B)150 1208 y Fb(b)r(ounds)7 b Fa(.)k(.)i(.)f(.)g(.)h(.)f(.)g
6814
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)
6815
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)32
6816
b Fb(40)150 1295 y(bugs,)26 b(kno)n(wn)9 b Fa(.)j(.)g(.)g(.)h(.)f(.)g
6817
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)
6818
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)34 b Fb(49)150 1545
6819
y Fo(C)150 1661 y Fb(collo)r(cation)28 b(w)n(eigh)n(ts)10
6820
b Fa(.)j(.)g(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
6821
h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)36 b Fb(43)150
6822
1748 y(con)n(tributors)15 b Fa(.)e(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g
6823
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
6824
g(.)h(.)f(.)g(.)h(.)f(.)41 b Fb(1)150 1835 y(cop)n(yrigh)n(t)8
6825
b Fa(.)k(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
6826
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g
6827
(.)h(.)f(.)34 b Fb(1)150 2085 y Fo(D)150 2201 y Fb(D)n(AE)8
6828
b Fa(.)j(.)i(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
6829
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f
6830
(.)g(.)h(.)f(.)g(.)h(.)33 b Fb(46)150 2435 y Fo(F)150
6831
2551 y Fb(factorizations)11 b Fa(.)k(.)d(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
6832
f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
6833
(.)h(.)f(.)g(.)h(.)36 b Fb(33)150 2784 y Fo(I)150 2900
6834
y Fb(installation)12 b Fa(.)i(.)f(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g
6835
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
6836
g(.)h(.)f(.)g(.)h(.)37 b Fb(48)150 2987 y(installation)27
6837
b(trouble)7 b Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
6838
(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)32
6839
b Fb(49)150 3075 y(in)n(tegration)17 b Fa(.)d(.)e(.)g(.)h(.)f(.)g(.)h
6840
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
6841
g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)43 b Fb(43)150 3162
6842
y(in)n(tro)r(duction)11 b Fa(.)h(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
6843
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f
6844
(.)g(.)h(.)f(.)g(.)37 b Fb(13)150 3395 y Fo(K)150 3511
6845
y Fb(kno)n(wn)25 b(causes)i(of)f(trouble)15 b Fa(.)e(.)f(.)g(.)h(.)f(.)
6846
g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)41
6847
b Fb(49)150 3745 y Fo(L)150 3861 y Fb(linear)27 b(Constrain)n(ts)9
6848
b Fa(.)k(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
6849
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)34 b Fb(41)150
6850
4094 y Fo(M)150 4210 y Fb(matrix)26 b(factorizations)13
6851
b Fa(.)i(.)d(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)
6852
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)39 b Fb(33)2025 638 y(matrix)26
6853
b(manipulations)20 b Fa(.)13 b(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
6854
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)45
6855
b Fb(18)2025 900 y Fo(N)2025 1021 y Fb(NLP)12 b Fa(.)g(.)g(.)h(.)f(.)g
6856
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
6857
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)38
6858
b Fb(42)2025 1110 y(nonlinear)26 b(Constrain)n(ts)21
6859
b Fa(.)12 b(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
6860
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)45 b Fb(41)2025 1200 y(nonlinear)26
6861
b(equations)17 b Fa(.)c(.)f(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
6862
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)43
6863
b Fb(39)2025 1289 y(nonlinear)26 b(functions)e Fa(.)13
6864
b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
6865
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)50 b Fb(38)2025 1379 y(nonlinear)26
6866
b(programming)7 b Fa(.)14 b(.)e(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f
6867
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)33 b Fb(42)2025
6868
1468 y(n)n(umerical)26 b(in)n(tegration)e Fa(.)12 b(.)h(.)f(.)g(.)h(.)f
6869
(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
6870
49 b Fb(43)2025 1730 y Fo(O)2025 1851 y Fb(ob)t(jectiv)n(e)26
6871
b(functions)11 b Fa(.)i(.)f(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
6872
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)37
6873
b Fb(40)2025 1940 y(ODE)23 b Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f
6874
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
6875
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)50 b
6876
Fb(45)2025 2030 y(optimization)7 b Fa(.)13 b(.)g(.)f(.)g(.)h(.)f(.)g(.)
6877
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f
6878
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)33 b Fb(40)2025 2119 y(orthogonal)27
6879
b(collo)r(cation)9 b Fa(.)15 b(.)d(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
6880
(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)35
6881
b Fb(43)2025 2381 y Fo(Q)2025 2501 y Fb(QP)17 b Fa(.)12
6882
b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
6883
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
6884
g(.)g(.)h(.)f(.)g(.)43 b Fb(41)2025 2591 y(quadratic)25
6885
b(programming)f Fa(.)12 b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g
6886
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)48 b Fb(41)2025
6887
2681 y(quadrature)15 b Fa(.)d(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
6888
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)
6889
h(.)f(.)g(.)h(.)f(.)41 b Fb(43)2025 2942 y Fo(R)2025
6890
3063 y Fb(ranges)21 b Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
6891
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
6892
g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)46 b Fb(37)2025 3325
6893
y Fo(T)2025 3445 y Fb(troublesho)r(oting)11 b Fa(.)i(.)g(.)f(.)g(.)h(.)
6894
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
6895
(.)h(.)f(.)g(.)h(.)f(.)g(.)37 b Fb(49)2025 3707 y Fo(V)2025
6896
3828 y Fb(v)n(ector)25 b(manipulations)11 b Fa(.)j(.)e(.)g(.)h(.)f(.)g
6897
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
6898
g(.)37 b Fb(18)2025 4089 y Fo(W)2025 4210 y Fb(w)n(arran)n(t)n(y)15
6899
b Fa(.)d(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
6900
g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
6901
(.)g(.)h(.)41 b Fb(1)p eop end
6903
TeXDict begin 51 54 bop 150 -116 a Fp(Chapter)30 b(15:)41
6904
b(F)-8 b(unction)31 b(Index)2396 b(51)150 299 y Fl(F)-13
6905
b(unction)52 b(Index)150 610 y Fo(A)150 728 y Fh(absolute_tolerance)25
6906
b Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
6907
(.)h(.)f(.)g(.)h(.)47 b Fb(43,)26 b(45)150 816 y Fh(add_left)7
6908
b Fa(.)14 b(.)e(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
6909
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
6910
g(.)h(.)32 b Fb(43)150 905 y Fh(add_right)25 b Fa(.)13
6911
b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
6912
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)49
6913
b Fb(43)150 993 y Fh(AEPBALANCE)24 b Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)g
6914
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
6915
g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)47 b Fb(33)150 1081 y
6916
Fh(all)7 b Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)
6917
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
6918
(.)h(.)f(.)g(.)h(.)f(.)g(.)33 b Fb(20,)26 b(27)150 1169
6919
y Fh(alpha)11 b Fa(.)j(.)e(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
6920
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
6921
g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)37 b Fb(44)150 1257 y
6922
Fh(any)7 b Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)
6923
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
6924
(.)h(.)f(.)g(.)h(.)f(.)g(.)33 b Fb(20,)26 b(27)150 1346
6925
y Fh(append)f Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
6926
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)49
6927
b Fb(18,)27 b(22,)g(25,)f(29)150 1434 y Fh(Array<T>)7
6928
b Fa(.)14 b(.)e(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
6929
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
6930
g(.)h(.)32 b Fb(14)150 1522 y Fh(Array2<T>)25 b Fa(.)13
6931
b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
6932
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)49
6933
b Fb(15)150 1610 y Fh(Array3<T>)25 b Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)h
6934
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
6935
h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)49 b Fb(15)150 1867
6936
y Fo(B)150 1985 y Fh(balanced_a_matrix)12 b Fa(.)k(.)c(.)h(.)f(.)g(.)h
6937
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)
6938
g(.)h(.)37 b Fb(33)150 2073 y Fh(balanced_b_matrix)12
6939
b Fa(.)k(.)c(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
6940
g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)37 b Fb(33)150 2162
6941
y Fh(balanced_matrix)15 b Fa(.)g(.)e(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
6942
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)40
6943
b Fb(33)150 2250 y Fh(balancing_matrix)13 b Fa(.)j(.)d(.)f(.)g(.)h(.)f
6944
(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
6945
h(.)f(.)g(.)39 b Fb(33)150 2338 y Fh(base)13 b Fa(.)g(.)f(.)g(.)h(.)f
6946
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
6947
f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)38
6948
b Fb(37)150 2426 y Fh(beta)13 b Fa(.)g(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
6949
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)
6950
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)38
6951
b Fb(44)150 2514 y Fh(Bounds)10 b Fa(.)j(.)g(.)f(.)g(.)h(.)f(.)g(.)h(.)
6952
f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
6953
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)35 b Fb(40)150
6954
2752 y Fo(C)150 2870 y Fh(capacity)27 b Fb(on)f Fh(Array<T>)c
6955
Fa(.)12 b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h
6956
(.)f(.)g(.)h(.)f(.)g(.)h(.)45 b Fb(14)150 2959 y Fh(checkelem)28
6957
b Fb(on)d Fh(Array<T>)18 b Fa(.)d(.)d(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
6958
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)44 b Fb(14)150
6959
3047 y Fh(checkelem)28 b Fb(on)d Fh(Array2<T>)17 b Fa(.)e(.)d(.)g(.)h
6960
(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)42
6961
b Fb(15)150 3135 y Fh(checkelem)28 b Fb(on)d Fh(Array3<T>)17
6962
b Fa(.)e(.)d(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
6963
h(.)f(.)g(.)h(.)42 b Fb(15)150 3223 y Fh(checkelem)28
6964
b Fb(on)d Fh(DiagArray<T>)13 b Fa(.)i(.)d(.)h(.)f(.)g(.)g(.)h(.)f(.)g
6965
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)38 b Fb(16)150 3311
6966
y Fh(CHOL)13 b Fa(.)g(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
6967
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)
6968
g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)38 b Fb(34)150 3400
6969
y Fh(chol_matrix)23 b Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
6970
(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
6971
g(.)h(.)f(.)46 b Fb(34)150 3488 y Fh(clear_stop_time)15
6972
b Fa(.)g(.)e(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
6973
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)40 b Fb(45)150
6974
3576 y Fh(coefficient)23 b Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
6975
g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
6976
(.)f(.)g(.)h(.)f(.)46 b Fb(33)150 3664 y Fh(CollocWt)7
6977
b Fa(.)14 b(.)e(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
6978
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
6979
g(.)h(.)32 b Fb(43)150 3752 y Fh(cols)27 b Fb(on)e Fh(Array2<T>)h
6980
Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g
6981
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)50 b Fb(15)150
6982
3841 y Fh(cols)27 b Fb(on)e Fh(DiagArray<T>)e Fa(.)12
6983
b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g
6984
(.)h(.)f(.)g(.)h(.)45 b Fb(16)150 3929 y Fh(column)25
6985
b Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
6986
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)49 b Fb(18,)27
6987
b(23,)g(25,)f(31)150 4017 y Fh(column_max)15 b Fa(.)f(.)f(.)f(.)g(.)g
6988
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
6989
g(.)h(.)f(.)g(.)h(.)f(.)g(.)41 b Fb(20,)26 b(27)150 4105
6990
y Fh(column_max_loc)9 b Fa(.)15 b(.)e(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
6991
(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)35
6992
b Fb(20,)26 b(27)150 4193 y Fh(column_min)15 b Fa(.)f(.)f(.)f(.)g(.)g
6993
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
6994
g(.)h(.)f(.)g(.)h(.)f(.)g(.)41 b Fb(20,)26 b(27)150 4282
6995
y Fh(column_min_loc)9 b Fa(.)15 b(.)e(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
6996
(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)35
6997
b Fb(20,)26 b(27)150 4370 y Fh(columns)h Fb(on)f Fh(Array2<T>)c
6998
Fa(.)12 b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h
6999
(.)f(.)g(.)h(.)f(.)g(.)h(.)45 b Fb(15)150 4458 y Fh(columns)27
7000
b Fb(on)f Fh(DiagArray<T>)15 b Fa(.)g(.)e(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7001
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)41 b Fb(16)150
7002
4546 y Fh(ColumnVector)22 b Fa(.)12 b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7003
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7004
g(.)h(.)f(.)g(.)45 b Fb(20)150 4634 y Fh(ComplexAEPBALANCE)12
7005
b Fa(.)k(.)c(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7006
g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)37 b Fb(33)150 4723
7007
y Fh(ComplexCHOL)23 b Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7008
(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7009
g(.)h(.)f(.)46 b Fb(34)150 4811 y Fh(ComplexColumnVector)9
7010
b Fa(.)17 b(.)12 b(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7011
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)34 b Fb(27)150 4899
7012
y Fh(ComplexDET)24 b Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h
7013
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7014
h(.)f(.)g(.)h(.)47 b Fb(33)150 4987 y Fh(ComplexDiagMatrix)12
7015
b Fa(.)k(.)c(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7016
g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)37 b Fb(30)150 5075
7017
y Fh(ComplexHESS)23 b Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7018
(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7019
g(.)h(.)f(.)46 b Fb(34)150 5164 y Fh(ComplexLU)25 b Fa(.)13
7020
b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7021
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)49
7022
b Fb(36)150 5252 y Fh(ComplexMatrix)18 b Fa(.)d(.)d(.)h(.)f(.)g(.)g(.)h
7023
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7024
h(.)f(.)g(.)h(.)f(.)43 b Fb(24)150 5340 y Fh(ComplexQR)25
7025
b Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7026
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)
7027
49 b Fb(36)2025 610 y Fh(ComplexRowVector)13 b Fa(.)j(.)c(.)h(.)f(.)g
7028
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7029
f(.)g(.)h(.)f(.)39 b Fb(29)2025 701 y Fh(ComplexSCHUR)22
7030
b Fa(.)12 b(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7031
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)45
7032
b Fb(35)2025 792 y Fh(ComplexSVD)24 b Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g
7033
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7034
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)48 b Fb(35)2025 882 y
7035
Fh(conj)9 b Fa(.)k(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7036
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)34
7037
b Fb(25,)27 b(28,)f(29,)h(31)2025 973 y Fh(constraint_matrix)12
7038
b Fa(.)k(.)c(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7039
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)38 b Fb(41)2025 1064
7040
y Fh(copy)16 b Fa(.)d(.)f(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h
7041
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7042
h(.)f(.)42 b Fb(39,)26 b(43,)h(45)2025 1154 y Fh(cumprod)20
7043
b Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g
7044
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)44
7045
b Fb(20,)27 b(27)2025 1245 y Fh(cumsum)22 b Fa(.)12 b(.)g(.)g(.)h(.)f
7046
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7047
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)46 b Fb(20,)27
7048
b(27)2025 1513 y Fo(D)2025 1636 y Fh(DAE)14 b Fa(.)f(.)f(.)g(.)h(.)f(.)
7049
g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7050
(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7051
40 b Fb(46)2025 1726 y Fh(data)26 b Fb(on)g Fh(Array<T>)7
7052
b Fa(.)14 b(.)f(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7053
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)33 b Fb(15)2025
7054
1817 y Fh(DefQuad)8 b Fa(.)14 b(.)e(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7055
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7056
f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)34 b Fb(43)2025 1908
7057
y Fh(delete_left)23 b Fa(.)12 b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7058
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)
7059
f(.)g(.)h(.)46 b Fb(44)2025 1998 y Fh(delete_right)22
7060
b Fa(.)12 b(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7061
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)45
7062
b Fb(44)2025 2089 y Fh(deriv)11 b Fa(.)i(.)g(.)f(.)g(.)h(.)f(.)g(.)h(.)
7063
f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7064
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)37
7065
b Fb(46)2025 2180 y Fh(DET)14 b Fa(.)f(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7066
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)
7067
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)40
7068
b Fb(33)2025 2270 y Fh(determinant)13 b Fa(.)i(.)d(.)g(.)h(.)f(.)g(.)h
7069
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)
7070
g(.)h(.)f(.)g(.)39 b Fb(18,)27 b(25)2025 2361 y Fh(diag)9
7071
b Fa(.)k(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7072
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)34
7073
b Fb(20,)27 b(24,)f(27,)h(32)2025 2452 y Fh(DiagArray<T>)22
7074
b Fa(.)12 b(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7075
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)45
7076
b Fb(15)2025 2542 y Fh(DiagMatrix)15 b Fa(.)f(.)e(.)h(.)f(.)g(.)h(.)f
7077
(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7078
h(.)f(.)g(.)h(.)f(.)40 b Fb(22,)27 b(23)2025 2633 y Fh(dim1)f
7079
Fb(on)g Fh(Array2<T>)g Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7080
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)50
7081
b Fb(15)2025 2724 y Fh(dim1)26 b Fb(on)g Fh(Array3<T>)g
7082
Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7083
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)50 b Fb(15)2025
7084
2814 y Fh(dim1)26 b Fb(on)g Fh(DiagArray<T>)c Fa(.)13
7085
b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7086
(.)h(.)f(.)g(.)h(.)45 b Fb(16)2025 2905 y Fh(dim2)26
7087
b Fb(on)g Fh(Array2<T>)g Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7088
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)50
7089
b Fb(15)2025 2996 y Fh(dim2)26 b Fb(on)g Fh(Array3<T>)g
7090
Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7091
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)50 b Fb(15)2025
7092
3086 y Fh(dim2)26 b Fb(on)g Fh(DiagArray<T>)c Fa(.)13
7093
b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7094
(.)h(.)f(.)g(.)h(.)45 b Fb(16)2025 3177 y Fh(dim3)26
7095
b Fb(on)g Fh(Array3<T>)g Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7096
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)50
7097
b Fb(15)2025 3447 y Fo(E)2025 3570 y Fh(EIG)14 b Fa(.)f(.)f(.)g(.)h(.)f
7098
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7099
f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7100
(.)40 b Fb(35)2025 3661 y Fh(eigenvalues)23 b Fa(.)12
7101
b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7102
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)46
7103
b Fb(35)2025 3751 y Fh(eigenvectors)22 b Fa(.)12 b(.)g(.)h(.)f(.)g(.)g
7104
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7105
g(.)h(.)f(.)g(.)h(.)f(.)g(.)45 b Fb(35)2025 3842 y Fh(elem)26
7106
b Fb(on)g Fh(Array<T>)7 b Fa(.)14 b(.)f(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7107
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7108
33 b Fb(14)2025 3933 y Fh(elem)26 b Fb(on)g Fh(Array2<T>)g
7109
Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7110
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)50 b Fb(15)2025
7111
4023 y Fh(elem)26 b Fb(on)g Fh(Array3<T>)g Fa(.)12 b(.)h(.)f(.)g(.)h(.)
7112
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7113
(.)f(.)g(.)50 b Fb(15)2025 4114 y Fh(elem)26 b Fb(on)g
7114
Fh(DiagArray<T>)c Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7115
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)45 b Fb(16)2025
7116
4205 y Fh(eq_constraint_matrix)7 b Fa(.)17 b(.)12 b(.)h(.)f(.)g(.)h(.)f
7117
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)33
7118
b Fb(41)2025 4295 y Fh(eq_constraint_vector)7 b Fa(.)17
7119
b(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7120
h(.)f(.)g(.)h(.)f(.)33 b Fb(41)2025 4386 y Fh(exponent)7
7121
b Fa(.)14 b(.)e(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g
7122
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7123
g(.)h(.)32 b Fb(33)2025 4477 y Fh(extract)11 b Fa(.)j(.)e(.)g(.)h(.)f
7124
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)37 b Fb(18,)27 b(21,)g(22,)f(23,)h(25,)g
7125
(28,)f(29,)h(31)2025 4744 y Fo(F)2025 4867 y Fh(fill)8
7126
b Fa(.)13 b(.)f(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)33
7127
b Fb(18,)27 b(21,)g(22,)g(23,)f(24,)h(25,)g(28,)f(29,)h(30)2025
7128
4958 y Fh(first)11 b Fa(.)i(.)g(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7129
(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7130
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)37 b Fb(44)2025 5049
7131
y Fh(force_restart)18 b Fa(.)d(.)d(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7132
(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7133
h(.)43 b Fb(45)2025 5139 y Fh(fourier)20 b Fa(.)13 b(.)f(.)g(.)h(.)f(.)
7134
g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7135
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)44 b Fb(18,)27
7136
b(25)2025 5230 y Fh(function)7 b Fa(.)14 b(.)e(.)g(.)h(.)f(.)g(.)h(.)f
7137
(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7138
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)32 b Fb(38)p
7141
TeXDict begin 52 55 bop 150 -116 a Fp(Chapter)30 b(15:)41
7142
b(F)-8 b(unction)31 b(Index)2396 b(52)150 299 y Fo(G)150
7143
416 y Fh(GEPBALANCE)24 b Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g
7144
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7145
g(.)h(.)f(.)g(.)h(.)47 b Fb(33)150 503 y Fh(gradient_function)12
7146
b Fa(.)k(.)c(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7147
g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)37 b Fb(40)150 757
7148
y Fo(H)150 874 y Fh(HESS)13 b Fa(.)g(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7149
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f
7150
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)38
7151
b Fb(34)150 961 y Fh(hess_matrix)23 b Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g
7152
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7153
f(.)g(.)h(.)f(.)g(.)h(.)f(.)46 b Fb(34)150 1206 y Fo(I)150
7154
1322 y Fh(ifourier)17 b Fa(.)e(.)d(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7155
(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7156
h(.)f(.)g(.)44 b Fb(18,)26 b(25)150 1410 y Fh(imag)9
7157
b Fa(.)k(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7158
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)34
7159
b Fb(25,)27 b(28,)g(29,)f(31)150 1498 y Fh(inc)14 b Fa(.)f(.)f(.)h(.)f
7160
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7161
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7162
(.)h(.)39 b Fb(37)150 1585 y Fh(IndefQuad)25 b Fa(.)13
7163
b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7164
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)49
7165
b Fb(43)150 1673 y Fh(ineq_constraint_matrix)28 b Fa(.)12
7166
b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7167
(.)f(.)48 b Fb(41)150 1760 y Fh(ineq_constraint_vector)28
7168
b Fa(.)12 b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7169
(.)g(.)h(.)f(.)48 b Fb(41)150 1848 y Fh(init)16 b Fa(.)d(.)f(.)h(.)f(.)
7170
g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7171
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)42 b Fb(39,)27
7172
b(43,)f(45)150 1935 y Fh(initial_step_size)12 b Fa(.)k(.)c(.)h(.)f(.)g
7173
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)
7174
f(.)g(.)h(.)37 b Fb(45)150 2023 y Fh(initialize)15 b
7175
Fa(.)f(.)f(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7176
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)41
7177
b Fb(45,)26 b(46)150 2111 y Fh(insert)9 b Fa(.)14 b(.)e(.)g(.)h(.)f(.)g
7178
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)35
7179
b Fb(18,)27 b(21,)f(22,)h(24,)g(28,)f(29)150 2198 y Fh(integrate)9
7180
b Fa(.)14 b(.)e(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7181
(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)35 b Fb(43,)27
7182
b(45,)f(46)150 2286 y Fh(inverse)e Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)
7183
h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7184
(.)48 b Fb(18,)27 b(23,)g(25,)f(31)150 2537 y Fo(J)150
7185
2654 y Fh(jacobian_function)12 b Fa(.)k(.)c(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7186
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)37
7187
b Fb(38)150 2908 y Fo(L)150 3025 y Fh(L)17 b Fa(.)12
7188
b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7189
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7190
h(.)f(.)g(.)h(.)f(.)g(.)h(.)42 b Fb(36)150 3112 y Fh(left)13
7191
b Fa(.)g(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7192
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7193
(.)h(.)f(.)g(.)h(.)f(.)38 b Fb(44)150 3200 y Fh(left_balancing_matrix)
7194
29 b Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h
7195
(.)f(.)g(.)h(.)f(.)g(.)50 b Fb(34)150 3287 y Fh(left_included)18
7196
b Fa(.)d(.)d(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7197
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)43
7198
b Fb(44)150 3375 y Fh(left_singular_matrix)7 b Fa(.)17
7199
b(.)c(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h
7200
(.)f(.)g(.)h(.)f(.)33 b Fb(35)150 3463 y Fh(length)27
7201
b Fb(on)f Fh(Array<T>)e Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7202
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)48
7203
b Fb(14)150 3550 y Fh(limit)11 b Fa(.)j(.)e(.)g(.)g(.)h(.)f(.)g(.)h(.)f
7204
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7205
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)37 b
7206
Fb(37)150 3638 y Fh(LinConst)7 b Fa(.)14 b(.)e(.)g(.)h(.)f(.)g(.)h(.)f
7207
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7208
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)32 b Fb(41)150
7209
3725 y Fh(lower_bound)23 b Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7210
g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7211
(.)f(.)g(.)h(.)f(.)46 b Fb(40)150 3813 y Fh(lower_bounds)22
7212
b Fa(.)12 b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7213
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)45
7214
b Fb(40)150 3900 y Fh(lssolve)21 b Fa(.)12 b(.)g(.)h(.)f(.)g(.)g(.)h(.)
7215
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7216
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)45 b Fb(19,)26 b(26)150
7217
3988 y Fh(LU)8 b Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7218
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7219
g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)34 b Fb(35,)26 b(36)150
7220
4240 y Fo(M)150 4356 y Fh(map)13 b Fa(.)g(.)g(.)f(.)g(.)h(.)f(.)g(.)h
7221
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)40
7222
b Fb(20,)27 b(21,)f(22,)h(27,)g(28,)f(30)150 4444 y Fh(Matrix)10
7223
b Fa(.)j(.)g(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)
7224
g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7225
(.)g(.)h(.)f(.)35 b Fb(18)150 4532 y Fh(max)21 b Fa(.)13
7226
b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7227
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)47 b Fb(21,)26 b(22,)h(28,)g(30,)f
7228
(37)150 4619 y Fh(maximum_step_size)12 b Fa(.)k(.)c(.)h(.)f(.)g(.)h(.)f
7229
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7230
h(.)37 b Fb(45)150 4707 y Fh(min)21 b Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)h
7231
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7232
h(.)f(.)47 b Fb(21,)26 b(22,)h(28,)g(30,)f(37)150 4794
7233
y Fh(minimize)17 b Fa(.)e(.)d(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7234
(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7235
f(.)g(.)44 b Fb(41,)26 b(42)150 4882 y Fh(minimum_step_size)12
7236
b Fa(.)k(.)c(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7237
g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)37 b Fb(45)150 5136
7238
y Fo(N)150 5252 y Fh(ncol)13 b Fa(.)g(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7239
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)
7240
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)38
7241
b Fb(44)150 5340 y Fh(nelem)11 b Fa(.)j(.)e(.)g(.)g(.)h(.)f(.)g(.)h(.)f
7242
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7243
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)37 b
7244
Fb(37)2025 299 y Fh(NLConst)8 b Fa(.)14 b(.)e(.)g(.)h(.)f(.)g(.)h(.)f
7245
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7246
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)34 b Fb(41)2025
7247
389 y Fh(NLEqn)11 b Fa(.)i(.)g(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7248
(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7249
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)37 b Fb(39)2025 479
7250
y Fh(NLEqn_options)18 b Fa(.)d(.)d(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7251
(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7252
h(.)43 b Fb(39)2025 570 y Fh(NLFunc)10 b Fa(.)j(.)f(.)h(.)f(.)g(.)h(.)f
7253
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)
7254
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)35
7255
b Fb(38)2025 660 y Fh(NLP)14 b Fa(.)f(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7256
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)
7257
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)40
7258
b Fb(42)2025 909 y Fo(O)2025 1031 y Fh(Objective)25 b
7259
Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7260
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7261
49 b Fb(40)2025 1121 y Fh(objective_function)10 b Fa(.)17
7262
b(.)12 b(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7263
f(.)g(.)h(.)f(.)g(.)h(.)f(.)36 b Fb(40)2025 1212 y Fh(ODE)14
7264
b Fa(.)f(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7265
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7266
(.)h(.)f(.)g(.)h(.)f(.)g(.)40 b Fb(45)2025 1302 y Fh(ODE_options)23
7267
b Fa(.)12 b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7268
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)46
7269
b Fb(45)2025 1392 y Fh(operator)27 b(!)22 b Fa(.)12 b(.)g(.)h(.)f(.)g
7270
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7271
g(.)h(.)f(.)g(.)h(.)f(.)g(.)47 b Fb(19,)27 b(26)2025
7272
1483 y Fh(operator)g(!=)12 b Fa(.)h(.)f(.)h(.)f(.)g(.)h(.)f(.)g(.)38
7273
b Fb(18,)27 b(21,)g(22,)f(23,)h(24,)g(27,)f(29,)h(30)2025
7274
1573 y Fh(operator)g(\(\))f Fb(on)g Fh(Array<T>)e Fa(.)12
7275
b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7276
(.)f(.)48 b Fb(14)2025 1663 y Fh(operator)27 b(\(\))f
7277
Fb(on)g Fh(Array2<T>)d Fa(.)12 b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7278
g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)46 b Fb(15)2025 1753
7279
y Fh(operator)27 b(\(\))f Fb(on)g Fh(Array3<T>)d Fa(.)12
7280
b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7281
(.)46 b Fb(15)2025 1844 y Fh(operator)27 b(\(\))f Fb(on)g
7282
Fh(DiagArray<T>)16 b Fa(.)f(.)e(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7283
(.)g(.)h(.)f(.)42 b Fb(16)2025 1934 y Fh(operator)27
7284
b(*)6 b Fa(.)13 b(.)f(.)32 b Fb(16,)27 b(17,)g(19,)g(20,)f(21,)h(22,)g
7285
(23,)f(24,)h(26,)g(27,)2178 2021 y(28,)g(29,)g(30,)g(31,)f(32)2025
7286
2111 y Fh(operator)h(+)6 b Fa(.)13 b(.)f(.)32 b Fb(16,)27
7287
b(17,)g(19,)g(20,)f(21,)h(22,)g(23,)f(24,)h(26,)g(27,)2178
7288
2199 y(28,)g(29,)g(30,)g(31,)f(32)2025 2289 y Fh(operator)h(+=)12
7289
b Fa(.)h(.)f(.)h(.)f(.)g(.)h(.)f(.)g(.)38 b Fb(19,)27
7290
b(21,)g(22,)f(23,)h(26,)g(28,)f(29,)h(31)2025 2379 y
7291
Fh(operator)g(-)6 b Fa(.)13 b(.)f(.)32 b Fb(16,)27 b(17,)g(19,)g(20,)f
7292
(21,)h(22,)g(23,)f(24,)h(26,)g(27,)2178 2466 y(28,)g(29,)g(30,)g(31,)f
7293
(32)2025 2556 y Fh(operator)h(-=)12 b Fa(.)h(.)f(.)h(.)f(.)g(.)h(.)f(.)
7294
g(.)38 b Fb(19,)27 b(21,)g(22,)f(23,)h(26,)g(28,)f(29,)h(31)2025
7295
2647 y Fh(operator)g(/)17 b Fa(.)c(.)f(.)43 b Fb(16,)26
7296
b(17,)h(19,)g(21,)g(22,)f(23,)h(26,)g(28,)f(29,)h(31)2025
7297
2737 y Fh(operator)g(<<)8 b Fa(.)13 b(.)33 b Fb(20,)26
7298
b(21,)g(22,)g(24,)h(27,)f(29,)g(30,)g(32,)g(33,)g(34,)2178
7299
2824 y(35,)h(36,)g(37,)g(40,)f(41,)h(44)2025 2914 y Fh(operator)g(=)6
7300
b Fa(.)13 b(.)f(.)32 b Fb(18,)27 b(21,)g(22,)g(23,)f(24,)h(27,)g(29,)f
7301
(30,)h(33,)g(34,)2178 3002 y(35,)g(36,)g(38,)g(39,)f(40,)h(41,)g(42,)f
7302
(43,)h(45)2025 3092 y Fh(operator)g(=)f Fb(on)g Fh(Array<T>)f
7303
Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7304
(.)h(.)f(.)g(.)h(.)49 b Fb(14)2025 3182 y Fh(operator)27
7305
b(=)f Fb(on)g Fh(Array2<T>)e Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7306
(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)48 b Fb(15)2025
7307
3272 y Fh(operator)27 b(=)f Fb(on)g Fh(Array3<T>)e Fa(.)12
7308
b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7309
(.)f(.)48 b Fb(15)2025 3363 y Fh(operator)27 b(=)f Fb(on)g
7310
Fh(DiagArray<T>&)16 b Fa(.)f(.)e(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7311
f(.)g(.)h(.)f(.)42 b Fb(16)2025 3453 y Fh(operator)27
7312
b(==)12 b Fa(.)h(.)f(.)h(.)f(.)g(.)h(.)f(.)g(.)38 b Fb(18,)27
7313
b(21,)g(22,)f(23,)h(24,)g(27,)f(29,)h(30)2025 3543 y
7314
Fh(operator)g(>>)13 b Fa(.)g(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7315
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)39
7316
b Fb(20,)26 b(27,)h(37)2025 3811 y Fo(P)2025 3933 y Fh(P)17
7317
b Fa(.)12 b(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7318
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7319
f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)43 b Fb(36)2025 4024
7320
y Fh(print_range)23 b Fa(.)12 b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7321
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)
7322
f(.)g(.)h(.)46 b Fb(37)2025 4114 y Fh(prod)24 b Fa(.)12
7323
b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h
7324
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7325
49 b Fb(20,)27 b(27)2025 4204 y Fh(product)14 b Fa(.)g(.)e(.)h(.)f(.)g
7326
(.)41 b Fb(16,)26 b(17,)h(20,)g(21,)g(22,)f(24,)h(27,)g(28,)f(30,)h(31)
7327
2025 4472 y Fo(Q)2025 4594 y Fh(Q)17 b Fa(.)12 b(.)h(.)f(.)g(.)g(.)h(.)
7328
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7329
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)
7330
g(.)43 b Fb(36)2025 4684 y Fh(QP)15 b Fa(.)e(.)f(.)h(.)f(.)g(.)h(.)f(.)
7331
g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7332
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)41
7333
b Fb(41)2025 4775 y Fh(QR)15 b Fa(.)e(.)f(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7334
(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7335
g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)41
7336
b Fb(36)2025 4865 y Fh(quad)13 b Fa(.)g(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f
7337
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7338
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)38
7339
b Fb(44)2025 4955 y Fh(Quad)13 b Fa(.)g(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f
7340
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7341
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)38
7342
b Fb(43)2025 5045 y Fh(Quad_options)22 b Fa(.)12 b(.)g(.)h(.)f(.)g(.)g
7343
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7344
g(.)h(.)f(.)g(.)h(.)f(.)g(.)45 b Fb(43)2025 5136 y Fh(quad_weights)22
7345
b Fa(.)12 b(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7346
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)45
7347
b Fb(44)2025 5226 y Fh(quotient)10 b Fa(.)j(.)g(.)f(.)g(.)h(.)f(.)g(.)h
7348
(.)f(.)g(.)h(.)35 b Fb(16,)27 b(17,)g(20,)f(21,)h(22,)g(27,)f(28,)h(30)
7351
TeXDict begin 53 56 bop 150 -116 a Fp(Chapter)30 b(15:)41
7352
b(F)-8 b(unction)31 b(Index)2396 b(53)150 299 y Fo(R)150
7353
415 y Fh(R)17 b Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7354
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)
7355
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)42
7356
b Fb(36)150 503 y Fh(Range)11 b Fa(.)j(.)e(.)g(.)g(.)h(.)f(.)g(.)h(.)f
7357
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7358
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)37 b
7359
Fb(37)150 590 y Fh(real)9 b Fa(.)k(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7360
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7361
g(.)h(.)34 b Fb(25,)27 b(28,)g(29,)f(31)150 677 y Fh
7362
(relative_tolerance)f Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h
7363
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)47 b Fb(43,)26
7364
b(45)150 765 y Fh(resize)f Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7365
g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)49
7366
b Fb(39,)27 b(40,)g(41,)f(43)150 852 y Fh(resize)h Fb(on)f
7367
Fh(Array<T>)e Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7368
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)48 b Fb(14)150
7369
939 y Fh(resize)27 b Fb(on)f Fh(Array2<T>)d Fa(.)12 b(.)h(.)f(.)g(.)h
7370
(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7371
g(.)47 b Fb(15)150 1027 y Fh(resize)27 b Fb(on)f Fh(Array3<T>)d
7372
Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7373
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)47 b Fb(15)150 1114 y
7374
Fh(resize)27 b Fb(on)f Fh(DiagArray<T>)17 b Fa(.)e(.)d(.)g(.)h(.)f(.)g
7375
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)42
7376
b Fb(16)150 1201 y Fh(right)11 b Fa(.)j(.)e(.)g(.)g(.)h(.)f(.)g(.)h(.)f
7377
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7378
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)37 b
7379
Fb(44)150 1289 y Fh(right_balancing_matrix)28 b Fa(.)12
7380
b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7381
(.)f(.)48 b Fb(34)150 1376 y Fh(right_included)16 b Fa(.)g(.)c(.)g(.)h
7382
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)
7383
g(.)h(.)f(.)g(.)h(.)f(.)g(.)42 b Fb(44)150 1463 y Fh
7384
(right_singular_matrix)29 b Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7385
(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)50 b Fb(35)150
7386
1551 y Fh(roots)11 b Fa(.)j(.)e(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7387
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7388
f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)37 b Fb(44)150 1638
7389
y Fh(row)10 b Fa(.)j(.)f(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7390
g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)36
7391
b Fb(18,)27 b(23,)g(25,)f(31)150 1725 y Fh(row_max)21
7392
b Fa(.)12 b(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7393
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)45
7394
b Fb(20,)26 b(27)150 1813 y Fh(row_max_loc)13 b Fa(.)i(.)d(.)h(.)f(.)g
7395
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7396
f(.)g(.)h(.)f(.)g(.)h(.)39 b Fb(20,)26 b(27)150 1900
7397
y Fh(row_min)21 b Fa(.)12 b(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7398
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7399
g(.)h(.)f(.)45 b Fb(20,)26 b(27)150 1988 y Fh(row_min_loc)13
7400
b Fa(.)i(.)d(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)
7401
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)39 b
7402
Fb(20,)26 b(27)150 2075 y Fh(rows)h Fb(on)e Fh(Array2<T>)h
7403
Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g
7404
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)50 b Fb(15)150
7405
2162 y Fh(rows)27 b Fb(on)e Fh(DiagArray<T>)e Fa(.)12
7406
b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g
7407
(.)h(.)f(.)g(.)h(.)45 b Fb(16)150 2250 y Fh(RowVector)16
7408
b Fa(.)e(.)f(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7409
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)42
7410
b Fb(21,)26 b(22)150 2500 y Fo(S)150 2616 y Fh(SCHUR)11
7411
b Fa(.)j(.)e(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7412
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7413
(.)g(.)h(.)f(.)g(.)37 b Fb(34)150 2704 y Fh(schur_matrix)12
7414
b Fa(.)j(.)d(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7415
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)38 b Fb(34,)26
7416
b(35)150 2791 y Fh(second)10 b Fa(.)j(.)g(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7417
(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7418
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)35 b Fb(44)150
7419
2878 y Fh(set_absolute_tolerance)15 b Fa(.)j(.)12 b(.)g(.)h(.)f(.)g(.)h
7420
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)42 b Fb(43,)26
7421
b(45)150 2966 y Fh(set_alpha)f Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7422
g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7423
(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)49 b Fb(44)150 3053 y
7424
Fh(set_base)7 b Fa(.)14 b(.)e(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7425
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7426
g(.)h(.)f(.)g(.)g(.)h(.)32 b Fb(37)150 3140 y Fh(set_beta)7
7427
b Fa(.)14 b(.)e(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7428
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7429
g(.)h(.)32 b Fb(44)150 3228 y Fh(set_bound)25 b Fa(.)13
7430
b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7431
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)49
7432
b Fb(40)150 3315 y Fh(set_bounds)24 b Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)g
7433
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7434
g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)47 b Fb(40)150 3402 y
7435
Fh(set_constraint_matrix)29 b Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7436
(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)50 b Fb(41)150
7437
3490 y Fh(set_default_options)12 b Fa(.)17 b(.)12 b(.)h(.)f(.)g(.)h(.)f
7438
(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)38 b Fb(39,)27
7439
b(43,)f(45)150 3577 y Fh(set_function)c Fa(.)12 b(.)g(.)h(.)f(.)g(.)h
7440
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7441
h(.)f(.)g(.)g(.)h(.)f(.)g(.)45 b Fb(38)150 3664 y Fh
7442
(set_gradient_function)29 b Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7443
(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)50 b Fb(40)150
7444
3752 y Fh(set_inc)8 b Fa(.)14 b(.)e(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7445
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)
7446
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)34 b Fb(37)150 3839 y
7447
Fh(set_initial_step_size)29 b Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7448
(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)50 b Fb(45)150
7449
3927 y Fh(set_jacobian_function)29 b Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g
7450
(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)50
7451
b Fb(38)150 4014 y Fh(set_left)7 b Fa(.)14 b(.)e(.)g(.)h(.)f(.)g(.)h(.)
7452
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7453
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)32 b Fb(44)150
7454
4101 y Fh(set_limit)25 b Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7455
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7456
g(.)h(.)f(.)g(.)h(.)f(.)49 b Fb(37)150 4189 y Fh(set_lower_bound)15
7457
b Fa(.)g(.)e(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7458
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)40 b Fb(40)150
7459
4276 y Fh(set_lower_bounds)13 b Fa(.)j(.)d(.)f(.)g(.)h(.)f(.)g(.)g(.)h
7460
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7461
39 b Fb(40)150 4363 y Fh(set_maximum_step_size)29 b Fa(.)12
7462
b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7463
(.)f(.)g(.)50 b Fb(45)2025 299 y Fh(set_minimum_step_size)29
7464
b Fa(.)12 b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7465
(.)g(.)g(.)h(.)f(.)50 b Fb(45)2025 386 y Fh(set_objective_function)27
7466
b Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7467
(.)f(.)g(.)h(.)48 b Fb(40)2025 473 y Fh(set_relative_tolerance)15
7468
b Fa(.)i(.)c(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7469
41 b Fb(43,)27 b(45)2025 561 y Fh(set_right)e Fa(.)13
7470
b(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7471
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)49
7472
b Fb(44)2025 648 y Fh(set_states)24 b Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g
7473
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7474
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)48 b Fb(39)2025 735 y
7475
Fh(set_stop_time)18 b Fa(.)d(.)d(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7476
g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7477
(.)43 b Fb(45)2025 823 y Fh(set_tolerance)18 b Fa(.)d(.)d(.)g(.)h(.)f
7478
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7479
h(.)f(.)g(.)h(.)f(.)g(.)h(.)43 b Fb(39)2025 910 y Fh(set_upper_bound)15
7480
b Fa(.)g(.)e(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7481
g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)40 b Fb(40)2025
7482
997 y Fh(set_upper_bounds)13 b Fa(.)j(.)c(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7483
(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7484
39 b Fb(40)2025 1085 y Fh(singular_values)15 b Fa(.)g(.)e(.)f(.)g(.)g
7485
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7486
g(.)h(.)f(.)g(.)h(.)40 b Fb(35)2025 1172 y Fh(size)9
7487
b Fa(.)k(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7488
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)34
7489
b Fb(39,)27 b(40,)f(42,)h(45)2025 1259 y Fh(solve)18
7490
b Fa(.)13 b(.)f(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7491
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)43 b Fb(18,)27 b(19,)g(25,)f(26,)h
7492
(39)2025 1346 y Fh(sort)13 b Fa(.)g(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7493
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7494
g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)38 b
7495
Fb(37)2025 1434 y Fh(stack)7 b Fa(.)13 b(.)g(.)f(.)g(.)h(.)f(.)g(.)h(.)
7496
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7497
(.)h(.)f(.)33 b Fb(18,)27 b(21,)f(25,)h(28)2025 1521
7498
y Fh(state)11 b Fa(.)i(.)g(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7499
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7500
f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)37 b Fb(45)2025 1608
7501
y Fh(states)10 b Fa(.)j(.)f(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7502
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7503
h(.)f(.)g(.)h(.)f(.)g(.)h(.)35 b Fb(39)2025 1696 y Fh(sum)7
7504
b Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7505
(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7506
f(.)g(.)h(.)f(.)32 b Fb(20,)27 b(27)2025 1783 y Fh(sumsq)c
7507
Fa(.)12 b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7508
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7509
h(.)47 b Fb(20,)27 b(27)2025 1870 y Fh(SVD)14 b Fa(.)f(.)f(.)g(.)h(.)f
7510
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)
7511
f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7512
(.)40 b Fb(35)2025 2104 y Fo(T)2025 2220 y Fh(time)13
7513
b Fa(.)g(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7514
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7515
(.)g(.)h(.)f(.)g(.)h(.)38 b Fb(45)2025 2307 y Fh(tolerance)25
7516
b Fa(.)13 b(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7517
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7518
49 b Fb(39)2025 2394 y Fh(transpose)8 b Fa(.)14 b(.)f(.)f(.)g(.)h(.)f
7519
(.)g(.)g(.)h(.)f(.)34 b Fb(18,)27 b(21,)g(22,)f(23,)h(25,)g(28,)f(29,)h
7520
(31)2025 2646 y Fo(U)2025 2763 y Fh(U)17 b Fa(.)12 b(.)h(.)f(.)g(.)g(.)
7521
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7522
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)
7523
f(.)g(.)43 b Fb(36)2025 2850 y Fh(unitary_hess_matrix)9
7524
b Fa(.)16 b(.)d(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f
7525
(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)35 b Fb(34)2025 2937 y
7526
Fh(unitary_matrix)9 b Fa(.)15 b(.)d(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7527
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)34
7528
b Fb(34,)27 b(35)2025 3025 y Fh(upper_bound)c Fa(.)12
7529
b(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h
7530
(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)46
7531
b Fb(40)2025 3112 y Fh(upper_bounds)22 b Fa(.)12 b(.)g(.)h(.)f(.)g(.)g
7532
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)
7533
g(.)h(.)f(.)g(.)h(.)f(.)g(.)45 b Fb(40)2025 3364 y Fo(V)2025
7534
3480 y Fh(value)11 b Fa(.)i(.)g(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7535
(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7536
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)37 b Fb(33)2025 3567
7537
y Fh(value_will_overflow)9 b Fa(.)16 b(.)d(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7538
(.)g(.)h(.)f(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)35
7539
b Fb(33)2025 3655 y Fh(value_will_underflow)7 b Fa(.)17
7540
b(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7541
h(.)f(.)g(.)h(.)f(.)33 b Fb(33)2025 3898 y Fo(W)2025
7542
4014 y Fh(width)11 b Fa(.)i(.)g(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f
7543
(.)g(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)
7544
h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)37 b Fb(44)2025 4247
7545
y Fo(X)2025 4363 y Fh(xelem)26 b Fb(on)g Fh(Array<T>)g
7546
Fa(.)12 b(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g
7547
(.)h(.)f(.)g(.)h(.)f(.)g(.)h(.)f(.)g(.)50 b Fb(14)p eop
7551
userdict /end-hook known{end-hook}if