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- In [[algebra]], '''commutativity''' is a property of [[binary operation]]s or of [[operator (mathematics)|op ...number]]s, [[real number|real]] and [[complex number]]s. In this context commutativity is often referred to as the ''commutative law''.695 bytes (102 words) - 19:40, 31 January 2009
- 178 bytes (25 words) - 06:20, 6 December 2008
- Auto-populated based on [[Special:WhatLinksHere/Commutativity]]. Needs checking by a human.858 bytes (112 words) - 15:35, 11 January 2010
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- #REDIRECT [[Commutativity]]27 bytes (2 words) - 16:05, 5 November 2008
- #REDIRECT [[Commutativity]]27 bytes (2 words) - 13:29, 6 November 2008
- In [[algebra]], '''commutativity''' is a property of [[binary operation]]s or of [[operator (mathematics)|op ...number]]s, [[real number|real]] and [[complex number]]s. In this context commutativity is often referred to as the ''commutative law''.695 bytes (102 words) - 19:40, 31 January 2009
- ===Commutativity=== Addition is [[commutativity|commutative]], meaning ''a + b = b + a''.1 KB (163 words) - 02:33, 30 October 2008
- {{r|Commutativity}}245 bytes (30 words) - 10:06, 12 July 2008
- {{r|Commutativity}}483 bytes (61 words) - 16:42, 11 January 2010
- A [[commutativity|commutative]] division ring is a [[field (mathematics)|field]].634 bytes (89 words) - 01:24, 18 February 2009
- {{r|Commutativity}}770 bytes (96 words) - 19:39, 11 January 2010
- ...et]] of a [[group (mathematics)]] is the set of all group elements which [[commutativity|commute]] with every element of the given subset.676 bytes (115 words) - 12:19, 29 December 2008
- Auto-populated based on [[Special:WhatLinksHere/Commutativity]]. Needs checking by a human.858 bytes (112 words) - 15:35, 11 January 2010
- ...up theory]], the '''centre of a group''' is the subset of elements which [[commutativity|commute]] with every element of the group.785 bytes (114 words) - 11:29, 13 February 2009
- {{r|Commutativity}}969 bytes (124 words) - 18:42, 11 January 2010
- {{r|Commutativity}}870 bytes (138 words) - 14:59, 12 December 2008
- The [[localisation (ring theory)|localisation]] of a [[commutativity|commutative]] [[integral domain]] at a non-zero [[prime ideal]] is a local844 bytes (130 words) - 12:09, 2 January 2009
- '''Octonions''' are a [[Commutativity|non-commutative]] and [[Associative law|non-associative]] extension of the947 bytes (123 words) - 06:31, 14 September 2013
- {{r|Commutativity}}907 bytes (145 words) - 12:28, 29 December 2008
- {{r|Commutativity}}1 KB (169 words) - 19:54, 11 January 2010
- In [[ring theory]], an '''integral domain''' is a [[commutativity|commutative]] [[ring (mathematics)|ring]] in which there are no non-trivial1,021 bytes (145 words) - 15:11, 30 October 2008
- ...he '''Frobenius map''' is the ''p''-th power map considered as acting on [[commutativity|commutative]] algebras or fields of [[prime number|prime]] [[characteristic1 KB (166 words) - 18:17, 16 February 2009
- {{r|Commutativity}}2 KB (247 words) - 06:00, 7 November 2010
- {{r|Commutativity}}2 KB (247 words) - 17:28, 11 January 2010
- If ''x'' and ''y'' [[commutativity|commute]] then the conjugate of ''x'' by ''y'' is just ''x'' again. The [[2 KB (294 words) - 04:53, 19 November 2008
- The notion of ''commutative [[ring (mathematics)|ring]]'' assumes commutativity of the multiplication operation and usually the existence of a multiplicati2 KB (338 words) - 10:01, 23 December 2008
- The second and third axioms imply commutativity: it is possible (but not easy) to show that in the presence of the other th2 KB (316 words) - 13:38, 16 July 2011
- #<b>A</b> • <b>B</b> = <b>B</b> • <b>A</b> (commutativity or symmetry)3 KB (575 words) - 12:41, 14 February 2011
- ...arithmetic is surprisingly straightforward. The main difficulty is that [[commutativity]] in multiplication is lost — for two quaterions ''q''<sub>1</sub> an They are a [[Commutativity|non-commutative]] extension of the real numbers. They were first described7 KB (1,160 words) - 07:41, 22 December 2008
- * [[Commutativity]]: <math>x \vee y = y \vee x;~ x \wedge y = y \wedge x ;\,</math>3 KB (538 words) - 18:17, 17 January 2010
- * If ''R'' is [[commutativity|commutative]] then so is ''R''[''X''].4 KB (604 words) - 23:54, 20 February 2010
- ;[[Commutativity]]5 KB (638 words) - 14:16, 17 December 2008
- ...ar, in [[Quantum mechanics]], the [[Heisenberg equation]] deals with non-[[commutativity|commuting]] objects ([[operator (quantum mechanics)|operator]]s).6 KB (951 words) - 05:01, 8 December 2009
- ...ration|Commutativity]]''': Addition of integers also has a property called commutativity. That is, the order of the numbers to be added does not affect the sum. For If a group is also [[commutativity|commutative]] - that is, for any two members ''a'' and ''b'' of ''S'', ''a'18 KB (2,669 words) - 08:38, 17 April 2024
- | [[commutativity]]: || ''a'' + ''b'' = ''b'' + ''a10 KB (1,566 words) - 08:34, 2 March 2024
- * [[Commutativity]]: <math>x \vee y = y \vee x;~ x \wedge y = y \wedge x ;\,</math>11 KB (1,918 words) - 18:23, 17 January 2010
- ...tic curve <math>E</math> is defined as <math>p+q:=O*(p*q)</math>. Both the commutativity and the existence of inverse follow from the definition. The proof of the a10 KB (1,637 words) - 16:03, 17 December 2008
- Just as with numeric addition, matrix addition is [[commutativity|commutative]]:15 KB (2,209 words) - 02:10, 14 February 2010
- The operation in a group need not be [[commutativity|commutative]], that is there may exist elements ''a'',''b'' such that ''a''19 KB (3,074 words) - 11:11, 13 February 2009
- ...end on the order of terms;<ref>that is, the addition (multiplication) is [[commutativity|commutative]]</ref> the sum (product) of three or more elements does not de18 KB (3,028 words) - 17:12, 25 August 2013
- ...end on the order of terms;<ref>that is, the addition (multiplication) is [[commutativity|commutative]]</ref> the sum (product) of three or more elements does not de20 KB (3,304 words) - 17:11, 25 August 2013
- ...OD Record, 18(2), 399-407</ref> Li & Li<ref name=Li>Li, R. & Li, D. (2005) Commutativity-based concurrency control in groupware. In, International Conference on Col52 KB (7,729 words) - 23:12, 20 October 2013