Difference between revisions of "If Command"

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<noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
 
{{command|logical}}
 
{{command|logical}}
 
; If[Condition, Object]: Yields a copy of the object if the condition evaluates to ''true'', and an undefined object if it evaluates to ''false''.
 
; If[Condition, Object]: Yields a copy of the object if the condition evaluates to ''true'', and an undefined object if it evaluates to ''false''.
 
; If[Condition, Object a, Object b]: Yields a copy of object ''a'' if the condition evaluates to ''true'', and a copy of object ''b'' if it evaluates to ''false''.
 
; If[Condition, Object a, Object b]: Yields a copy of object ''a'' if the condition evaluates to ''true'', and a copy of object ''b'' if it evaluates to ''false''.
 
{{warning|Both objects must be of the same type.}}
 
{{warning|Both objects must be of the same type.}}
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===Conditional Functions===
 
===Conditional Functions===
 
The ''If'' command can be used to create conditional functions. Such conditional functions may be used as arguments in any command that takes a function argument, such as [[Derivative Command|Derivative]], [[Integral Command|Integral]], and [[Intersect Command|Intersect]].
 
The ''If'' command can be used to create conditional functions. Such conditional functions may be used as arguments in any command that takes a function argument, such as [[Derivative Command|Derivative]], [[Integral Command|Integral]], and [[Intersect Command|Intersect]].
  
* Example: <tt>f(x) = If[x < 3, sin(x), x^2]</tt> yields a function that equals ''sin(x)'' for ''x < 3'' and ''x<sup>2</sup>'' for ''x ≥ 3''
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{{Example| 1=<tt>f(x) = If[x < 3, sin(x), x^2]</tt> yields a function that equals ''sin(x)'' for ''x < 3'' and ''x<sup>2</sup>'' for ''x ≥ 3''}}
{{note|See the section [[Boolean values]] for the symbols used in conditional statements.}}
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{{note|See section: [[Boolean values]] for the symbols used in conditional statements.}}

Revision as of 12:27, 14 February 2011


If[Condition, Object]
Yields a copy of the object if the condition evaluates to true, and an undefined object if it evaluates to false.
If[Condition, Object a, Object b]
Yields a copy of object a if the condition evaluates to true, and a copy of object b if it evaluates to false.
Warning Warning: Both objects must be of the same type.

Conditional Functions

The If command can be used to create conditional functions. Such conditional functions may be used as arguments in any command that takes a function argument, such as Derivative, Integral, and Intersect.

Example: f(x) = If[x < 3, sin(x), x^2] yields a function that equals sin(x) for x < 3 and x2 for x ≥ 3
Note: See section: Boolean values for the symbols used in conditional statements.
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