Synonymer & Anagram | Engelska ordet SEMIRING

Exempel på hur du använder SEMIRING i en mening

• Every Boolean ring gives rise to a Boolean algebra, with ring multiplication corresponding to conjunction or meet , and ring addition to exclusive disjunction or symmetric difference (not disjunction , which would constitute a semiring).
• rig (mathematics) or semiring, a structure similar to rings without the requirement that elements should have additive inverses.
• Any field is also a semifield, which in turn is a semiring in which also multiplicative inverses exist.
• A wheel can be regarded as the equivalent of a commutative ring (and semiring) where addition and multiplication are not a group but respectively a commutative monoid and a commutative monoid with involution.
• Tropical geometry is a variant of algebraic geometry in which polynomial graphs resemble piecewise linear meshes, and in which numbers belong to the tropical semiring instead of a field.
• Two typical semirings used in practice are the log semiring and tropical semiring: nondeterministic automata may be regarded as having weights in the Boolean semiring.
• In mathematics, a semimodule over a semiring R is an algebraic structure analogous to a module over a ring, with the exception that it forms only a commutative monoid with respect to its addition operation, as opposed to an abelian group.
• Kleene algebras: a semiring with idempotent addition and a unary operation, the Kleene star, satisfying additional properties.
• In the language of tropical analysis, the softmax is a deformation or "quantization" of arg max and arg min, corresponding to using the log semiring instead of the max-plus semiring (respectively min-plus semiring), and recovering the arg max or arg min by taking the limit is called "tropicalization" or "dequantization".
• Absorbing elements are particularly interesting for semigroups, especially the multiplicative semigroup of a semiring.
• Weighted automata generalize deterministic finite automata (DFAs) and nondeterministic finite automata (NFAs), which correspond to weighted automata over the Boolean semiring, where addition is logical disjunction and multiplication is logical conjunction.
• In mathematical analysis, idempotent analysis is the study of idempotent semirings, such as the tropical semiring.

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