102,846
edits
Changes
From Nordan Symposia
Jump to navigationJump to searchCreated page with 'File:lighterstill.jpgright|frame ==Origin== [http://nordan.daynal.org/wiki/index.php?title=English#ca._1100-1500_.09THE_MIDDLE_ENGLISH_PERIOD M...'
[[File:lighterstill.jpg]][[File:DNAMarkovProcess.jpg|right|frame]]
==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''
*[http://en.wikipedia.org/wiki/14th_century 14th Century]
==Definitions==
*1:a. The putting of one [[person]] or [[thing]] in place of another.
b: With [[reference]] to the [[principle]] in religious [[sacrifices]] of replacing one kind of [[victim]] by another or a bloody by an unbloody offering.
*2: The designation of a [[person]] or [[series]] of persons to succeed as heir or heirs on the [[failure]] of a person or persons previously named.
*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.
==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).
[[Category: Mathematics]]
[[Category: General Reference]]
==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''
*[http://en.wikipedia.org/wiki/14th_century 14th Century]
==Definitions==
*1:a. The putting of one [[person]] or [[thing]] in place of another.
b: With [[reference]] to the [[principle]] in religious [[sacrifices]] of replacing one kind of [[victim]] by another or a bloody by an unbloody offering.
*2: The designation of a [[person]] or [[series]] of persons to succeed as heir or heirs on the [[failure]] of a person or persons previously named.
*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.
==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).
[[Category: Mathematics]]
[[Category: General Reference]]
