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Commutativity

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Commutativity 

a property of the addition and multiplication of numbers expressed by the identities a + b = b + a and ab = ba. In a more general sense, the operation a * b is termed commutative if a * b = b *a. Addition and multiplication of polynomials, for example, have the property of commutativity; vector multiplication (see VECTOR PRODUCT) is not commutative since [a,b] = — [b,a].
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s-1)]) (4) In [4] the problem of lowering the order of input derivative in the generalized state equation was studied for the general case, and the result was formulated in terms of the commutativity of certain vector fields.
Removing the input derivatives in the generalized bilinear state ... by Mullari, Tanel; Kotta, Ulle; Kotta, Palle; Tonso, Maris; Zinober, Alan S.I. / Proceedings of the Estonian Academy of Sciences
Using these coincidence theorems, we obtain a few fixed point theorems, wherein continuity of maps is not needed, completeness of the space is relaxed to the completeness of a subspace, and the commutativity requirement is tight and minimal.
Coincidences and fixed points of hybrid contractions by Singh, Shyam Lal; Czerwik, Stefan; Krol, Krzysztof; Singh, Abha / Tamsui Oxford Journal of Mathematical Sciences
A term (and/or tree) is a simple tautology if up to commutativity and associativity it is equal to x [disjunction] [bar.
Subcritical pattern languages for and/or trees by Kozik, Jakub / DMTCS Proceedings
 
 
 
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