Difference between revisions of "Equation"
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{{WotWAnnounce|week=April 15-22}} | {{WotWAnnounce|week=April 15-22}} | ||
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 | + | 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 14:41, 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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