Difference between revisions of "Substitution"
From Nordan Symposia
Jump to navigationJump to search (Created page with 'File:lighterstill.jpgright|frame ==Origin== [http://nordan.daynal.org/wiki/index.php?title=English#ca._1100-1500_.09THE_MIDDLE_ENGLISH_PERIOD M...') |
m (Text replacement - "http://" to "https://") |
||
| (2 intermediate revisions by 2 users not shown) | |||
| Line 2: | Line 2: | ||
==Origin== | ==Origin== | ||
| − | [ | + | [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'' |
| − | *[ | + | *[https://en.wikipedia.org/wiki/14th_century 14th Century] |
==Definitions== | ==Definitions== | ||
*1:a. The putting of one [[person]] or [[thing]] in place of another. | *1:a. The putting of one [[person]] or [[thing]] in place of another. | ||
| Line 10: | Line 10: | ||
*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 [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). | ||
Latest revision as of 02:31, 13 December 2020
Origin
Middle English substitucion, from Middle French, from Late Latin substitution-, substitutio, from substituere
Definitions
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).
