Definitions

from the GNU version of the Collaborative International Dictionary of English.

  • noun (Math.) the property of a binary operation or operator such that the result of one term operating on a second is equal to the result of the second term operating on the first.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • noun mathematics, physics The state of being commutative.

Etymologies

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Examples

  • Application is not assumed to possess additional properties (such as commutativity), because its intended interpretation is function application.

    Combinatory Logic Bimbó, Katalin 2008

  • You have to give up commutativity to get the quaternions.

    The Volokh Conspiracy » Yow! 2009

  • Now you must give up both commutativity and associativity, but you still have a “division algebra.”

    The Volokh Conspiracy » Yow! 2009

  • It could well be that there is a way of getting to the quasi-local, infinity-free expansion by solving the spacelike commutativity/anticommutativity requirement directly, but if there is, I have not found it yet.

    String Theory is Losing the Public Debate Sean 2007

  • For example the commutativity law x+y = y+x holds for all real values of x and y.

    Algebra Pratt, Vaughan 2007

  • It follows that the non-commutativity of observables imposes limits on the possibilities of joint existence of properties.

    Modal Interpretations of Quantum Mechanics Dickson, Michael 2007

  • Pruning because of the commutativity of conjunction, we get six combinations:

    Deontic Logic McNamara, Paul 2006

  • For instance, to express the commutativity of addition the user would enter the Lisp expression

    Automated Reasoning Portoraro, Frederic 2005

  • A contrary indication is that it is not subject to the rules of change in a legal system -- neither courts nor legislators can repeal or amend the law of commutativity.

    Legal Positivism Green, Leslie 2003

  • The general commander of these regiments gets the informa - ¼ fby commutativity of _g G1 _: G1 _ G2 tion that some soldiers in regiment G3 cannot be ¼ fby definition of complementg G0 _ G2 trusted.

    Recently Uploaded Slideshows techdude 2010

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