Results 31 to 40 of about 4,125 (289)
The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree, M1, was understood fully (froma combinatorial perspective) by C.R. Johnson, A. Leal-Duarte (Linear Algebra and Multilinear Algebra 46 (1999) 139-144).
Fernandes Rosário
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Algebraic Semantics of Datalog with Equality
We discuss the syntax and semantics of relational Horn logic (RHL) and partial Horn logic (PHL). RHL is an extension of the Datalog programming language that allows introducing and equating variables in conclusions. PHL is a syntactic extension of RHL by partial functions and one of the many equivalent notions of essentially algebraic theory. Our main
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Right and Left Mappings in Equality Algebras
The notion of (right) left mapping on equality algebras is introduced, and related properties are investigated. In order for the kernel of (right) left mapping to be filter, we investigate what conditions are required. Relations between left mapping and →-endomorphism are investigated.
Kologani, Mona Aaly +3 more
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Semigroups with if-then-else and halting programs
The "if–then–else" construction is one of the most elementary programming commands, and its abstract laws have been widely studied, starting with McCarthy.
Stokes, Tim E., Jackson, Marcel
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State pseudo equality algebras
Pseudo equality algebras were initially introduced by Jenei and $\rm K\acute{o}r\acute{o}di$ as a possible algebraic semantic for fuzzy type theory, and they have been revised by Dvure\v censkij and Zahiri under the name of JK-algebras. The aim of this paper is to investigate the internal states and the state-morphisms on pseudo equality algebras.
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Further Results on Colombeau Product of Distributions
Results on Colombeau product of distributions and are derived. They are obtained in Colombeau differential algebra of generalized functions that contains the space of Schwartz distributions as a subspace and has a notion of “association” that is a ...
Biljana Jolevska-Tuneska +1 more
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On categorical equivalences of equality algebras and monadic equality algebras
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Monoids with tests and the algebra of possibly non-halting programs
We study the algebraic theory of computable functions, which can be viewed as arising from possibly non-halting computer programs or algorithms, acting on some state space, equipped with operations of composition, if-then-else and while-do defined in ...
Marcel Jackson +3 more
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The 2-refined neutrosophic quaternions numbers [PDF]
This paper explores the concept of 2-refined neutrosophic quaternion numbers by first introducing their formal definition along with the notion of equality between two such numbers.
Iqbal Ahmed Musa +2 more
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The spectral length of a map between Riemannian manifolds
To a closed Riemannian manifold, we associate a set of (special values of) a family of Dirichlet series, indexed by functions on the manifold. We study the meaning of equality of two such families of spectral Dirichlet series under pullback along a map ...
de Jong, J.W.W. +3 more
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