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<HTML>
<HEAD>
<TITLE>Functions</TITLE>
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<BODY bgcolor="#FFFFFF" fgcolor="#000000">
<P><A NAME="functions"></A>
<font size="+3" color="green"><B>Functions</B></font></P>
<P>
<font size="-1" face="Arial black" color="red">EXTREMA</font> supports many
types of functions, both numeric and string. The basic numeric
type of function operates on scalars, vectors, or matrices, but one number
at a time. In other words, it performs its calculations on an <i>element by
element</i> basis. These include the trigonometric functions, and the basic
arithmetic functions such as the exponential and logarithmic functions. The
resultant variable type of one of these element by element functions will be
the same as the variable type of its argument.</p>
<p>
<font size="-1" face="Arial black" color="red">EXTREMA</font> also supports
<i>array</i> functions, which operate on variables in their entirety, such
as max, min, derivative, integral and smoothing functions. Some of these
functions have a different resultant variable type than their arguments.
There are also functions that operate on strings, such as case changing
functions, and functions that have numeric arguments but result in
strings.</p>
<p>
<a href="TrigAndOtherBasic.htm"><font size="+1" color="olive">
Trigonometric and other basic functions</font></a><br />
<a href="StringManipulation.htm"><font size="+1" color="olive">
String manipulation functions</font></a><br />
<a href="NumericAnalysis.htm"><font size="+1" color="olive">
Numeric analysis functions</font></a><br />
<a href="StatisticsProbability.htm"><font size="+1" color="olive">
Statistics and probability functions</font></a><br />
<a href="VariableCharacteristics.htm"><font size="+1" color="olive">
Functions that return a variable's characteristics</font></a><br />
<a href="ShapeChanging.htm"><font size="+1" color="olive">
Shape changing functions</font></a>
</p>
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