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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
Commutative is the feminine form of the French adjective commutatif, which is derived from the French noun commutation and the French verb commuter, meaning "to exchange" or "to switch", a cognate of to commute. The term then appeared in English in 1838.
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 ...
Commuting is periodically recurring travel between a place of residence and place of work or study, where the traveler, referred to as a commuter, leaves the boundary of their home community. [1] By extension, it can sometimes be any regular or often repeated travel between locations, even when not work-related.
On average, its inhabitants spend 2 hours and 45 minutes a day commuting between home and work. [1] A commuter town is a populated area that is primarily residential rather than commercial or industrial. Routine travel from home to work and back is called commuting, which is where the term comes from.
As a simple example, the diagram of a single object with an endomorphism (:), or with two parallel arrows (, that is, ,:, sometimes called the free quiver), as used in the definition of equalizer need not commute. Further, diagrams may be messy or impossible to draw, when the number of objects or morphisms is large (or even infinite).
For many Americans, commuting to work is part of their everyday life. The most recent data show the average American commuter spends around 25.6 minutes on the way to work each day.
Intermodal passenger transport, also called mixed-mode commuting, involves using two or more modes of transportation in a journey. Mixed-mode commuting is often used to combine the strengths (and offset the weaknesses) of various transportation options.