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<meta name="description" content="The Command Reference Manual for the Mathomatic computer algebra system.">
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<meta name="author" content="George Gesslein II">
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<b>LHS</b> is shorthand for the Left-Hand Side of an equation.
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Similarly, <b>RHS</b> used here always means the Right-Hand Side.
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In this document, text enclosed by straight brackets <b>[like this]</b> means
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it is optional and may be omitted.
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The word "expression" always means a mathematical expression or formula.
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At the Mathomatic main prompt, you may enter:
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Mathomatic can solve symbolic equations for any <b>variable</b> or for <b>zero</b>.
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Solving is accomplished internally by applying identical
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mathematical operations to both sides of the equation and simplifying
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or by plugging the coefficients into the quadratic equation.
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or by plugging the general coefficients into the quadratic equation.
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The Mathomatic solve algorithm is the best possible for general algebra,
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however the result is not verified by plugging the solutions into the original equation,
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this can be done automatically with the "<a href="#solve">solve</a> verify" command.
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If the width (number of columns) required for this 2D display exceeds the screen width,
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the expression is displayed instead in single-line format
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by the <a href="#list">list command</a>.
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The screen width is set by the "<a href="#set">set</a> columns" option.
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The screen width is set automatically on startup,
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or by the "<a href="#set">set</a> columns" option.
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Non-integer constants are converted to reduced fractions,
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if they are exactly equal to a simple fraction and it would improve readability.
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Syntax: <b>imaginary [variable]</b>
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This command copies the imaginary part of a complex expression to the
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This command copies the imaginary part of a <a href="manual.html#complex">complex number expression</a> to the
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next available equation space.
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If the current expression or RHS of the current equation is not complex,
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it will tell you and abort.
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A complex expression contains both imaginary and real parts.
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To copy the real part, see the <a href="#real">real command</a>.
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the warning message "Expression is not a mix" will be displayed.
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A complex number expression contains both imaginary and real number parts.
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To copy only the real number part, see the <a href="#real">real command</a>.
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The separation <b>variable</b> may be specified on the command line, the default is <b>i#</b>.
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The separation <b>variable</b> may be specified on the command line,
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the default is the imaginary unit <b>i#</b>.
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<b>i#</b> is really a mathematical constant equal to the square root of -1,
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but it can often be specified where variables are required in Mathomatic.
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If successful, the result will contain one or more of <b>i#</b> or the specified separation <b>variable</b>.
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If successful, the result may contain the imaginary unit <b>i#</b>
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or the specified separation <b>variable</b>.
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<pre class="sample">
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1—> (a+b*i#)/(c+d*i#)
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"list maxima" is for making output compatible
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with the free computer algebra system <a href="http://wxmaxima.sourceforge.net">Maxima</a>.
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"list gnuplot" is for making expression output that is compatible with Gnuplot.
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"list gnuplot" is for making expression output that is compatible
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with the free graphing utility <a href="http://gnuplot.sourceforge.net">Gnuplot</a>.
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The list command simply outputs expressions and equations as stored internally by Mathomatic.
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There is no simplification and nothing more is done.
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Syntax: <b>plot [expression]</b>
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This command automatically plots the given mathematical <b>expression</b> in 2D or 3D with
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<a href="http://gnuplot.sourceforge.net">Gnuplot</a>.
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the free graphing utility <a href="http://gnuplot.sourceforge.net">Gnuplot</a>.
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If no expression is given, the current equation is plotted.
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The expression must contain the variable <b>x</b> to be successfully plotted.
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If it also contains the variable <b>y</b>, a 3D surface plot is performed
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on your 2D display.
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Plotting of an equation space with the imaginary number <b>i#</b> in it is allowed,
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however plots are always plotted on real Cartesian space, showing only real points.
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If there are no real points, the plot will fail.
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however plots are always plotted on real Cartesian space, showing only real number points.
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If there are no real number points, the plot will fail.
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Gnuplot must be installed and accessible from shell by typing "gnuplot"
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for this command to work.
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Syntax: <b>real [variable]</b>
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This command copies the real part of a complex expression to the
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This command copies the real part of a <a href="manual.html#complex">complex number expression</a> to the
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next available equation space.
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If the current expression or RHS of the current equation is not complex,
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it will tell you and abort.
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A complex expression contains both imaginary and real parts.
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To copy the imaginary part, see the
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the warning message "Expression is not a mix" will be displayed.
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A complex number expression contains both imaginary and real number parts.
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To copy only the imaginary number part, see the
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<a href="#imaginary">imaginary command</a>.
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The separation <b>variable</b> may be specified on the command line, the default is <b>i#</b>.
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The separation <b>variable</b> may be specified on the command line,
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the default is the imaginary unit <b>i#</b>.
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There will be no imaginary numbers in the result.
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"set no columns" or "set columns=0" does no checking for screen size and always
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displays in fraction format, which is useful for terminals that don't wrap lines.
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In most cases, this value is set automatically on startup.
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This value only affects 2D output.
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This value only affects 2D expression output.
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"set <b>wide</b>" sets the number of screen columns
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(like "set columns=0" above does) and screen rows to 0,
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on a terminal with line wrap.
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Setting this option is useful if you are not using a terminal that wraps lines.
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"set no <b>display2d</b>" will set the display mode to single-line format (one dimensional)
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"set no <b>display2d</b>" will set the expression
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display mode to single-line format (one dimensional)
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using the <a href="#list">list command</a>,
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instead of the default fraction format (two dimensional)
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using the <a href="#display">display command</a>.
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"set no <b>prompt</b>" turns off Mathomatic prompt output,
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exactly like the <b>-q</b> (quiet mode) option does.
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"set <b>html</b>" turns on HTML output mode.
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"set <b>preserve</b>" will set "preserve_surds" mode, which suppresses approximation
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of real roots of real rational numbers, if the result will be irrational.
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A surd is a quantity which can not be expressed by rational numbers.
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