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Commuting matrices, sets of matrices whose products do not depend on the order of multiplication Commutator , a measure of the failure of two elements to be commutative in a group or ring Commutation matrix , a permutation matrix which is used for transforming the vectorized form of another matrix into the vectorized form of its transpose
In other words, an operation is commutative if every two elements commute. An operation that does not satisfy the above property is called noncommutative . One says that x commutes with y or that x and y commute under ∗ {\displaystyle *} if x ∗ y = y ∗ x . {\displaystyle x*y=y*x.}
Also apophthegm. A terse, pithy saying, akin to a proverb, maxim, or aphorism. aposiopesis A rhetorical device in which speech is broken off abruptly and the sentence is left unfinished. apostrophe A figure of speech in which a speaker breaks off from addressing the audience (e.g., in a play) and directs speech to a third party such as an opposing litigant or some other individual, sometimes ...
The property of two matrices commuting is not transitive: A matrix may commute with both and , and still and do not commute with each other. As an example, the identity matrix commutes with all matrices, which between them do not all commute. If the set of matrices considered is restricted to Hermitian matrices without multiple eigenvalues ...
President Joe Biden announced he would commute the sentences of 37 individuals on federal death row. Here's what that means.
In law, a commutation is the substitution of a lesser penalty for that given after a conviction for a crime. The penalty can be lessened in severity, in duration, or both. Unlike most pardons by government and overturning by the court (a full overturning is equal to an acquittal), a commutation does not affect the status of a defendant's underlying criminal convicti
The approach taken in analysis is somewhat different. Conclusions that assume limiting operations do 'commute' are called formal. The analyst tries to delineate conditions under which such conclusions are valid; in other words mathematical rigour is established by the specification of some set of sufficient conditions for the formal analysis to ...
The commute is just one way bosses and workers often disagree on what counts as a productive workday. The back-and-forth is what has landed most companies in a seemingly endless war with their ...