62
Formal equations are titled and are generated with a 'math' style
58
Formal equations are titled and are generated with a 'latexmath' style
63
59
passthrough delimited block.
67
63
---------------------------------------------------------------------
70
++++++++++++++++++++++++++++++++++++++++++++
71
\[C = \alpha + \beta Y^{\gamma} + \epsilon\]
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++++++++++++++++++++++++++++++++++++++++++++
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---------------------------------------------------------------------
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++++++++++++++++++++++++++++++++++++++++++++
80
\[C = \alpha + \beta Y^{\gamma} + \epsilon\]
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++++++++++++++++++++++++++++++++++++++++++++
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---------------------------------------------------------------------
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++++++++++++++++++++++++++++++++++++++++++++
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2x^2 + 3(x-1)(x-2) & = 2x^2 + 3(x^2-3x+2) \\
91
&= 2x^2 + 3x^2 - 9x + 6 \\
94
++++++++++++++++++++++++++++++++++++++++++++
95
---------------------------------------------------------------------
102
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2x^2 + 3(x-1)(x-2) & = 2x^2 + 3(x^2-3x+2) \\
105
&= 2x^2 + 3x^2 - 9x + 6 \\
108
++++++++++++++++++++++++++++++++++++++++++++
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---------------------------------------------------------------------
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++++++++++++++++++++++++++++++++++++++++++++
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x & = & \frac{-7 \pm \sqrt{49 - 24}}{6} \\
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& = & -2 \textrm{ or } -\frac13
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++++++++++++++++++++++++++++++++++++++++++++
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---------------------------------------------------------------------
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++++++++++++++++++++++++++++++++++++++++++++
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x & = & \frac{-7 \pm \sqrt{49 - 24}}{6} \\
130
& = & -2 \textrm{ or } -\frac13
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++++++++++++++++++++++++++++++++++++++++++++
136
---------------------------------------------------------------------
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++++++++++++++++++++++++++++++++++++++++++++
141
4r^2\int_0^{\pi/2} \cos^2 \theta\, d\theta
142
&=& 4r^2\int_0^{\pi/2} \frac{1}{2}(1 + \cos 2\theta) \,d\theta\\
143
& = & {2r^2\theta}\Bigg{|}_0^{\pi/2}
144
+ 2r^2\int_0^{\pi/2} \cos 2\theta \,d\theta\\
145
& = & \pi r^2 + 2r^2(\sin2\theta)\Bigg{|}_0^{\pi/2}\\
148
++++++++++++++++++++++++++++++++++++++++++++
149
---------------------------------------------------------------------
155
++++++++++++++++++++++++++++++++++++++++++++
157
4r^2\int_0^{\pi/2} \cos^2 \theta\, d\theta
158
&=& 4r^2\int_0^{\pi/2} \frac{1}{2}(1 + \cos 2\theta) \,d\theta\\
159
& = & {2r^2\theta}\Bigg{|}_0^{\pi/2}
160
+ 2r^2\int_0^{\pi/2} \cos 2\theta \,d\theta\\
161
& = & \pi r^2 + 2r^2(\sin2\theta)\Bigg{|}_0^{\pi/2}\\
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++++++++++++++++++++++++++++++++++++++++++++
168
---------------------------------------------------------------------
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173
\item $\frac{da}{dx} = 0$
174
\item $\frac{d}{dx} ax = a$
175
\item $\frac{d}{dx} x^n = nx^{n-1}$
176
\item $\displaystyle \frac{d}{dx} (f(x) + g(x))
177
= \frac{d}{dx} f(x) + \frac{d}{dx} g(x)$
178
\item $\displaystyle \frac{d}{dx} f(x)g(x)
179
= g(x) \frac{d}{dx} f(x) + f(x) \frac{d}{dx} g(x)$
180
\item $\displaystyle \frac{d}{dx} \frac{f(x)}{g(x)}
181
= \frac{g(x) \frac{d}{dx} f(x) - f(x) \frac{d}{dx} g(x)}{(g(x))^2}$
183
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184
---------------------------------------------------------------------
190
++++++++++++++++++++++++++++++++++++++++++++
192
\item $\frac{da}{dx} = 0$
193
\item $\frac{d}{dx} ax = a$
194
\item $\frac{d}{dx} x^n = nx^{n-1}$
195
\item $\displaystyle \frac{d}{dx} (f(x) + g(x))
196
= \frac{d}{dx} f(x) + \frac{d}{dx} g(x)$
197
\item $\displaystyle \frac{d}{dx} f(x)g(x)
198
= g(x) \frac{d}{dx} f(x) + f(x) \frac{d}{dx} g(x)$
199
\item $\displaystyle \frac{d}{dx} \frac{f(x)}{g(x)}
200
= \frac{g(x) \frac{d}{dx} f(x) - f(x) \frac{d}{dx} g(x)}{(g(x))^2}$
202
++++++++++++++++++++++++++++++++++++++++++++
206
---------------------------------------------------------------------
209
++++++++++++++++++++++++++++++++++++++++++++
210
\[ P^{e \rightarrow c}= \left[
211
\begin{array}{*{3}{r@{}l}}
212
& \cos \theta & & \sin \theta \sin \varphi & & \sin \theta \cos \varphi\\
214
& \sin \theta \sin \psi
215
& & \cos \varphi \cos \psi - \cos \theta \sin \varphi \sin \psi
216
& - & \sin \varphi \cos \psi - \cos \theta \cos \varphi \sin \psi\\
218
- & \sin \theta \cos \psi
219
& & \cos \varphi \sin \psi + \cos \theta \sin \varphi \cos \psi
220
& - & \sin \varphi \sin \psi + \cos \theta \cos \varphi \cos \psi\\
223
++++++++++++++++++++++++++++++++++++++++++++
224
---------------------------------------------------------------------
230
++++++++++++++++++++++++++++++++++++++++++++
231
\[ P^{e \rightarrow c}= \left[
232
\begin{array}{*{3}{r@{}l}}
233
& \cos \theta & & \sin \theta \sin \varphi & & \sin \theta \cos \varphi\\
235
& \sin \theta \sin \psi
236
& & \cos \varphi \cos \psi - \cos \theta \sin \varphi \sin \psi
237
& - & \sin \varphi \cos \psi - \cos \theta \cos \varphi \sin \psi\\
239
- & \sin \theta \cos \psi
240
& & \cos \varphi \sin \psi + \cos \theta \sin \varphi \cos \psi
241
& - & \sin \varphi \sin \psi + \cos \theta \cos \varphi \cos \psi\\
244
++++++++++++++++++++++++++++++++++++++++++++
66
++++++++++++++++++++++++++++++++++++++++++++
67
\[C = \alpha + \beta Y^{\gamma} + \epsilon\]
68
++++++++++++++++++++++++++++++++++++++++++++
69
---------------------------------------------------------------------
75
++++++++++++++++++++++++++++++++++++++++++++
76
\[C = \alpha + \beta Y^{\gamma} + \epsilon\]
77
++++++++++++++++++++++++++++++++++++++++++++
81
---------------------------------------------------------------------
84
++++++++++++++++++++++++++++++++++++++++++++
85
\[ P^{e \rightarrow c}= \left[
86
\begin{array}{*{3}{r@{}l}}
87
& \cos \theta & & \sin \theta \sin \varphi & & \sin \theta \cos \varphi\\
89
& \sin \theta \sin \psi
90
& & \cos \varphi \cos \psi - \cos \theta \sin \varphi \sin \psi
91
& - & \sin \varphi \cos \psi - \cos \theta \cos \varphi \sin \psi\\
93
- & \sin \theta \cos \psi
94
& & \cos \varphi \sin \psi + \cos \theta \sin \varphi \cos \psi
95
& - & \sin \varphi \sin \psi + \cos \theta \cos \varphi \cos \psi\\
98
++++++++++++++++++++++++++++++++++++++++++++
99
---------------------------------------------------------------------
105
++++++++++++++++++++++++++++++++++++++++++++
106
\[ P^{e \rightarrow c}= \left[
107
\begin{array}{*{3}{r@{}l}}
108
& \cos \theta & & \sin \theta \sin \varphi & & \sin \theta \cos \varphi\\
110
& \sin \theta \sin \psi
111
& & \cos \varphi \cos \psi - \cos \theta \sin \varphi \sin \psi
112
& - & \sin \varphi \cos \psi - \cos \theta \cos \varphi \sin \psi\\
114
- & \sin \theta \cos \psi
115
& & \cos \varphi \sin \psi + \cos \theta \sin \varphi \cos \psi
116
& - & \sin \varphi \sin \psi + \cos \theta \cos \varphi \cos \psi\\
119
++++++++++++++++++++++++++++++++++++++++++++
added
removed
doc/latexmath.txt
