Difference between revisions of "Equation"

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{{WotWAnnounce|week=April 15-22}}
 
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An '''equation''' is a [[relation]] which states that two [[expression]]s are equal, identical, or otherwise the same.  Equations are easily identifiable because they are composed of two expressions with an equals sign ('=') between them.   
 
An '''equation''' is a [[relation]] which states that two [[expression]]s are equal, identical, or otherwise the same.  Equations are easily identifiable because they are composed of two expressions with an equals sign ('=') between them.   
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Equations are similar to [[congruence]]s (which relate geometric figures instead of numbers) and other relationships which fall into the category of [[equivalence relation]]s.
 
Equations are similar to [[congruence]]s (which relate geometric figures instead of numbers) and other relationships which fall into the category of [[equivalence relation]]s.
  
A unique aspect to equations is the ability to modify an original equation by performing operations (such as addition, subtraction, multiplication, division, and powers).  
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A unique aspect to equations is the ability to modify an original equation by performing operations (such as [[addition]], [[subtraction]], [[multiplication]], [[division]], and [[power]]s).  
  
 
==See also==
 
==See also==
 
* [[Inequality]]
 
* [[Inequality]]
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[[Category:Definition]]

Revision as of 15:41, 19 April 2008

This is an AoPSWiki Word of the Week for April 15-22

An equation is a relation which states that two expressions are equal, identical, or otherwise the same. Equations are easily identifiable because they are composed of two expressions with an equals sign ('=') between them.

Equations are similar to congruences (which relate geometric figures instead of numbers) and other relationships which fall into the category of equivalence relations.

A unique aspect to equations is the ability to modify an original equation by performing operations (such as addition, subtraction, multiplication, division, and powers).

See also

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