Changes

==Origin==

==Origin==

[http://nordan.daynal.org/wiki/index.php?title=English#ca._1100-1500_.09THE_MIDDLE_ENGLISH_PERIOD Middle English] ''substitucion'', from Middle French, from Late Latin ''substitution''-, ''substitutio'', from ''substituere''

[https://nordan.daynal.org/wiki/index.php?title=English#ca._1100-1500_.09THE_MIDDLE_ENGLISH_PERIOD Middle English] ''substitucion'', from Middle French, from Late Latin ''substitution''-, ''substitutio'', from ''substituere''

*[http://en.wikipedia.org/wiki/14th_century 14th Century]

*[http://en.wikipedia.org/wiki/14th_century 14th Century]

==Definitions==

==Definitions==

*3: a. The [[method]] of replacing one algebraic [[quantity]] by another of [[equal]] [[value]] but differently [[expressed]].

*3: a. The [[method]] of replacing one algebraic [[quantity]] by another of [[equal]] [[value]] but differently [[expressed]].

:b. The operation of passing from the primitive arrangement of n [[letters]] to any other arrangement of the same letters.

:b. The operation of passing from the primitive arrangement of n [[letters]] to any other arrangement of the same letters.

<center>For lessons on the topic of '''''Substitution''''', follow [http://nordan.daynal.org/wiki/index.php?title=Category:Substitution '''''this link'''''].</center>

<center>For lessons on the topic of '''''Substitution''''', follow [https://nordan.daynal.org/wiki/index.php?title=Category:Substitution '''''this link'''''].</center>

==Description==

==Description==

In [[mathematics]], '''substitution''' of [[variables]] (also called ''variable substitution'' or ''coordinate transformation'') refers to the substitution of certain variables with other variables. Though the [[study]] of how variable substitutions affect a certain [[problem]] can be interesting in itself, they are often used when solving [[mathematical]] or [[physical]] problems, as the correct substitution may greatly [[simplify]] a problem which is hard to solve in the [[original]] variables. Under certain conditions the solution to the original problem can be recovered by back-substitution (inverting the substitution).

In [[mathematics]], '''substitution''' of [[variables]] (also called ''variable substitution'' or ''coordinate transformation'') refers to the substitution of certain variables with other variables. Though the [[study]] of how variable substitutions affect a certain [[problem]] can be interesting in itself, they are often used when solving [[mathematical]] or [[physical]] problems, as the correct substitution may greatly [[simplify]] a problem which is hard to solve in the [[original]] variables. Under certain conditions the solution to the original problem can be recovered by back-substitution (inverting the substitution).