Synonymer & Information om | Engelska ordet COMMUTATIVITY

Exempel på hur man kan använda COMMUTATIVITY i en mening

• The choice of which function is reflected and shifted before the integral does not change the integral result (see commutativity).
• Many algebraic operations on real numbers such as addition, subtraction, multiplication, and negation have close analogues for vectors, operations which obey the familiar algebraic laws of commutativity, associativity, and distributivity.
• Note that commutativity is crucial here; it ensures that the sum of two group homomorphisms is again a homomorphism.
• The maps between the kernels and the maps between the cokernels are induced in a natural manner by the given (horizontal) maps because of the diagram's commutativity.
• As in the matrix case, normality means commutativity is preserved, to the extent possible, in the noncommutative setting.
• The following logical equivalences demonstrate that commutativity is a property of particular connectives.
• To enforce commutativity of some squares inside a quiver a generalization is the notion of quivers with relations (also named bound quivers).
• Given a polynomial expression, one can compute the expanded form of the represented polynomial by expanding with the distributive law all the products that have a sum among their factors, and then using commutativity (except for the product of two scalars), and associativity for transforming the terms of the resulting sum into products of a scalar and a monomial; then one gets the canonical form by regrouping the like terms.
• Reducing conflicts, such as through commutativity, enhances performance because conflicts are the fundamental cause of delays and aborts.
• Douglas, and Albert Schwarz showed that some aspects of matrix models and M-theory are described by a noncommutative quantum field theory, a special kind of physical theory in which the coordinates on spacetime do not satisfy the commutativity property.
• commutativity: The operands of the connective may be swapped without affecting the truth-value of the expression.
• Here, the forgetful functor from commutative algebras to vector spaces or modules (forgetting the multiplication) is the composition of the forgetful functors from commutative algebras to associative algebras (forgetting commutativity), and from associative algebras to vectors or modules (forgetting the multiplication).
• If the near-ring has a multiplicative identity, then distributivity on both sides is sufficient, and commutativity of addition follows automatically.
• Unfortunately, it is not generally possible to determine whether or not an operation is associative simply by glancing at its Cayley table, as it is with commutativity.
• This is because they can equivalently be defined in terms of the algebraic operations: x∨y = inf(x,y) and x∧y = sup(x,y), subject to certain axioms (commutativity, associativity, absorption and idempotency).
• Multiple integrals have many properties common to those of integrals of functions of one variable (linearity, commutativity, monotonicity, and so on).
• Pointwise operations inherit such properties as associativity, commutativity and distributivity from corresponding operations on the codomain.
• The properties of the Leibniz operator that help classify the logics are monotonicity, injectivity, continuity and commutativity with inverse substitutions.
• Many algebraic operations on real numbers such as addition, subtraction, multiplication, and negation have close analogues for vectors, operations which obey the familiar algebraic laws of commutativity, associativity, and distributivity.
• Due to the commutativity of ∧ in the definition's antecedent, aRb ∧ aRc even implies bRc ∧ cRb when R is right Euclidean.

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