In mathematics, a polyadic space is a topological space that is the image under a continuous function of a topological power of an Alexandroff one-point compactification of a discrete space.
In mathematics, a polyadicspace is a topological space that is the image under a continuous function of a topological power of an Alexandroff one-point...
variable number of arguments are called multigrade, anadic, or variably polyadic. Latinate names are commonly used for specific arities, primarily based...
introduced by Russian mathematician Pavel Alexandrov. Polyadicspaces are generalisation of dyadic spaces. Efimov, B.A. (2001) [1994], "Dyadic compactum",...
this decomposition is an open problem.[clarification needed] Canonical polyadic decomposition (CPD) is a variant of the tensor rank decomposition, in which...
{\displaystyle \mathbb {N} } has the discrete topology. Polyadicspaces are defined as topological spaces that are the continuous image of the power of a one-point...
any one variable if all the other n variables are specified arbitrarily. Polyadic or multiary means n-ary for some nonnegative integer n. A 0-ary, or nullary...
series of papers reprinted in his 1962 Algebraic Logic, Halmos devised polyadic algebras, an algebraic version of first-order logic differing from the...
term dyadic to related terms triadic, tetradic and polyadic. Kronecker product Bivector Polyadic algebra Unit vector Multivector Differential form Quaternions...
different from what is now meant by a tensor. Gibbs introduced Dyadics and Polyadic algebra, which are also tensors in the modern sense. The contemporary usage...
Equations, MIT Journal of Mathematics and Physics volume 1. 1923: On Double Polyadics, with Application to the Linear Matrix Equation, Proceedings AAAS 58(10):...
space is Polish if it is separable and completely metrizable, i.e. if it is homeomorphic to a separable and complete metric space. Polyadic A space is...
ComplEx, and HolE. SimplE: This model is the improvement of canonical polyadic decomposition (CP), in which an embedding vector for the relation and two...
law is erroneous; the law is only applicable in cases of monadic, not polyadic, properties; or What people think about are not the actual objects themselves;...
Generalizing in a different direction, an n-ary semigroup (also n-semigroup, polyadic semigroup or multiary semigroup) is a generalization of a semigroup to...
example. While Tarski does not enter into the issue, it is also clear that polyadic quantifiers are admitted under the proposal. These are quantifiers like...
eliminating the need for parentheses to indicate order of operation. polyadic first-order logic First-order logic extended to include predicates with...
Representative sequences Multiple domains (multichannel analysis) Dyadic and polyadic sequence data Although dissimilarity-based methods play a central role...
automatically (MTF) F. L. Hitchcock (1927). "The expression of a tensor or a polyadic as a sum of products". Journal of Mathematics and Physics. 6 (1–4): 164–189...
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