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*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>
==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).