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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]

open access: yesAdv Intell Discov
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc   +2 more sources

On one class of symmetric Boolean functions

open access: yesTongxin xuebao, 2013
The properties of one class of symmetric Boolean funct which was denoted by  was discussed,a different method for proving that one subclass of  having maximum algebraic immunity was presented.A necessary condition was proposed for the functions of  ...
Zhi-hui OU, Ya-qun ZHAO
doaj  

Quadratic Motion Polynomials with Irregular Factorizations. [PDF]

open access: yesAdv Appl Clifford Algebr
Thimm DA   +3 more
europepmc   +1 more source

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