Difference between revisions of "AreEqual Command"

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(Change for the next release: AreEqual[Segment[(1, 2), (3, 4)], Segment[(3, 4), (1, 6)]] is different from Segment[(1, 2), (3, 4)] == Segment[(3, 4), (1, 6)] as the latter just compares the lengths}})
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|logical}}{{betamanual|version=5.0}}
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|logical}}
  
 
;AreEqual[ <Object>, <Object> ]
 
;AreEqual[ <Object>, <Object> ]
 
:Decides if the objects are equal.
 
:Decides if the objects are equal.
 
Normally this command computes the result numerically. This behavior can be changed by using the [[Prove Command|Prove]] command.
 
Normally this command computes the result numerically. This behavior can be changed by using the [[Prove Command|Prove]] command.
:{{example| 1=<div><code><nowiki>AreEqual[Segment[(1, 2), (3, 4)], Segment[(3, 4), (1, 6)]]</nowiki></code> yields ''true'' since the two segments have the same length. This command is an equivalent for the [[Boolean values|equal operation]], thus <code><nowiki>Segment[(1, 2), (3, 4)] ≟ Segment[(3, 4), (1, 6)]</nowiki></code> will result exactly the same output.</div>}}
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:{{example| 1=<div><code><nowiki>AreEqual[Circle[(0, 0),1],x^2+y^2=1]</nowiki></code> yields ''true'' since the two circles have the same center and radius. </div>}}
 
{{Note| See also [[AreCollinear Command|AreCollinear]], [[AreConcyclic Command|AreConcyclic]], [[AreConcurrent Command|AreConcurrent]], [[ArePerpendicular Command|ArePerpendicular]], [[AreParallel Command|AreParallel]] commands.}}
 
{{Note| See also [[AreCollinear Command|AreCollinear]], [[AreConcyclic Command|AreConcyclic]], [[AreConcurrent Command|AreConcurrent]], [[ArePerpendicular Command|ArePerpendicular]], [[AreParallel Command|AreParallel]] commands.}}
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{{Note| <code><nowiki>AreEqual[Segment[(1, 2), (3, 4)], Segment[(3, 4), (1, 6)]]</nowiki></code> is different from <code><nowiki>Segment[(1, 2), (3, 4)] == Segment[(3, 4), (1, 6)]</nowiki></code> as the latter compares just the lengths}}

Revision as of 09:17, 8 July 2015



AreEqual[ <Object>, <Object> ]
Decides if the objects are equal.

Normally this command computes the result numerically. This behavior can be changed by using the Prove command.

Example:
AreEqual[Circle[(0, 0),1],x^2+y^2=1] yields true since the two circles have the same center and radius.
Note: AreEqual[Segment[(1, 2), (3, 4)], Segment[(3, 4), (1, 6)]] is different from Segment[(1, 2), (3, 4)] == Segment[(3, 4), (1, 6)] as the latter compares just the lengths
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