Information om | Engelska ordet NON-ASSOCIATIVE

Exempel på hur man kan använda NON-ASSOCIATIVE i en mening

• Every associative algebra is obviously alternative, but so too are some strictly non-associative algebras such as the octonions.
• Every associative algebra is power-associative, but so are all other alternative algebras (like the octonions, which are non-associative) and even non-alternative flexible algebras like the sedenions, trigintaduonions, and Okubo algebras.
• The associativity is not important (in fact not used at all) in the definition of a graded ring; hence, the notion applies to non-associative algebras as well; e.
• Some memory researchers distinguish memory based on the relationship between the stimuli involved (associative vs non-associative) or based to whether the content can be communicated through language (declarative/explicit vs procedural/implicit).
• The multiplication operation in an algebra may or may not be associative, leading to the notions of associative algebras and non-associative algebras.
• In non-associative cases, the left and right inverses may disagree, and in these cases, the inverse is not considered to exist.
• Operator associativity determines what happens when an operand is surrounded by operators of the same precedence, as in 1-2-3: An operator can be left-associative, right-associative, or non-associative.
• This can be through classical conditioning, where it forms an association between two stimuli; non-associative learning, where its behavior is modified through habituation or sensitisation; and operant conditioning, where it forms an association between an antecedent and its consequence.
• In other words, it is a 8-dimensional unital non-associative algebra A over F with a non-degenerate quadratic form N (called the norm form) such that.
• They include magmas, semigroups, monoids, abelian groups, commutative rings, modules, lattices, vector spaces, algebras over a field, and associative and non-associative algebras.
• 1936 – Garrett Birkhoff and John von Neumann introduce Quantum Logic in an attempt to reconcile the apparent inconsistency of classical, Boolean logic with the Heisenberg Uncertainty Principle of quantum mechanics as applied, for example, to the measurement of complementary (noncommuting) observables in quantum mechanics, such as position and momentum; current approaches to quantum logic involve noncommutative and non-associative many-valued logic.
• In mathematics, Hurwitz's theorem is a theorem of Adolf Hurwitz (1859–1919), published posthumously in 1923, solving the Hurwitz problem for finite-dimensional unital real non-associative algebras endowed with a nondegenerate positive-definite quadratic form.
• In abstract algebra, a structurable algebra is a certain kind of unital involutive non-associative algebra over a field.
• Cordero's research is in the area of finite semifields (non-associative algebras) and their associated planes (viewed affinely or projectively) in the general area of finite geometry.
• Eilenberg–Niven theorem can also be generalized to octonions: all octonionic polynomials with a unique monomial of higher degree have at least one solution, independent of the order of the parenthesis (the octonions are a non-associative algebra).
• As Brame emphasized, this approach relies on a non-associative groupoid structure with inverses to represent the interactions of lexical items (words and phrases), or lexes for short.

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