Results 11 to 20 of about 90,057 (293)
On Extension Of Functors [PDF]
, 2011 A.Chigogidze defined for each normal functor on the category Comp an extension which is a normal functor on the category Tych. We consider this extension for any functor on the category Comp and investigate which properties it preserves from the ...
Karchevska, Lesya, Radul, Taras
core +4 more sources
Shiraishi functor and non-Kerov deformation of Macdonald polynomials [PDF]
The European Physical Journal C, 2020 We suggest a further generalization of the hypergeometric-like series due to M. Noumi and J. Shiraishi by substituting the Pochhammer symbol with a nearly arbitrary function.
H. Awata +3 more
semanticscholar +1 more source
Geometrical properties of the space of idempotent probability measures
Applied General Topology, 2021 Although traditional and idempotent mathematics are "parallel'', by an application of the category theory we show that objects obtained the similar rules over traditional and idempotent mathematics must not be "parallel''.
Kholsaid Fayzullayevich Kholturayev
doaj +1 more source
Comparing the orthogonal and unitary functor calculi [PDF]
Homology, Homotopy and Applications, 2020 The orthogonal and unitary calculi give a method to study functors from the category of real or complex inner product spaces to the category of based topological spaces.
Niall Taggart
semanticscholar +1 more source
Applied Categorical Structures, 2016 Complete version, added more material, small corrections; 40 pages, 1 ...
Wiesław Kubiś, Dragan Mašulović
openaire +3 more sources
UNITARY FUNCTOR CALCULUS WITH REALITY [PDF]
Glasgow Mathematical Journal, 2020 We construct a calculus of functors in the spirit of orthogonal calculus, which is designed to study ‘functors with reality’ such as the Real classifying space functor, .
Niall Taggart
semanticscholar +1 more source
Backprop as Functor: A compositional perspective on supervised learning [PDF]
Logic in Computer Science, 2017 A supervised learning algorithm searches over a set of functions $A\rightarrow B$ parametrised by a space $P$ to find the best approximation to some ideal function $f:A\rightarrow B$. It does this by taking examples $(a, f(a))\in A\times B$, and updating
Brendan Fong +2 more
semanticscholar +1 more source
Вестник Самарского университета: Естественнонаучная серия, 2023 In this short communication we prove that the subspace Pn,n−1(X)of all probability measures P(X), whose supports consist of exactly n points is an (n−1)-dimensional topological manifold.
Mikhail V. Dolgopolov +1 more
doaj +1 more source
Foundations of Physics, 2023 In this document, we introduce a novel formalism for any field theory and apply it to the effective field theories of large-scale structure. The new formalism is based on functors of actions composing those theories. This new formalism predicts the actionic fields. We discuss our findings in a cosmological gravitology framework.
Ntelis, P. +3 more
openaire +5 more sources
Completeness for the coalgebraic cover modality [PDF]
Logical Methods in Computer Science, 2012 We study the finitary version of the coalgebraic logic introduced by L. Moss. The syntax of this logic, which is introduced uniformly with respect to a coalgebraic type functor, required to preserve weak pullbacks, extends that of classical propositional
Clemens Kupke +2 more
doaj +1 more source