Cardinality of the sets of all bijections, injections and surjections
Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia, 2020 The results of Zarzycki for the cardinality of the sets of all bijections, surjections, and injections are generalized to the case when the domains and codomains are infinite and different. The elementary proofs the cardinality of the sets of bijections and surjections are given within the framework of the Zermelo-Fraenkel set theory with the axiom of ...
M. Zieliński
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Local Negative Base Transform and Image Scrambling
Mathematical Problems in Engineering, 2018 Scrambling transform is an important tool for image encryption and hiding. A new class of scrambling algorithms is obtained by exploiting negative integer as the base of number representation to express the natural numbers.
Gangqiang Xiong +4 more
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Algorithmics of Checking whether a Mapping Is Injective, Surjective, and/or Bijective
, 2014 In many situations, we would like to check whether an algorithmically given mapping f:A → B is injective, surjective, and/or bijective. These properties have a practical meaning: injectivity means that the events of the action f can be, in principle, reversed, while surjectivity means that every state b ∈ B can appear as a result of the corresponding ...
Balreira, E. Cabral +2 more
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Infinite multisets: Basic properties and cardinality
Notes on Number Theory and Discrete MathematicsThis research work presents the topic of infinite multisets, their basic properties and cardinality from a somewhat different perspective. In this work, a new property of multisets, ‘m-cardinality’, is defined using multiset functions.
Milen V. Velev
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An Upper Bound on Topological Entropy of the Bunimovich Stadium Billiard Map. [PDF]
J Stat Phys, 2023 Činč J, Troubetzkoy S.
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PERSISTENT HYPERDIGRAPH HOMOLOGY AND PERSISTENT HYPERDIGRAPH LAPLACIANS. [PDF]
Found Data Sci, 2023 Chen D, Liu J, Wu J, Wei GW.
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Factorization and pseudofactorization of weighted graphs. [PDF]
Discrete Appl Math, 2023 Sheridan K +4 more
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Kabirian-based optinalysis: A conceptually grounded framework for symmetry/asymmetry, similarity/dissimilarity and identity/unidentity estimations in mathematical structures and biological sequences. [PDF]
MethodsX, 2023 Abdullahi KB.
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Topological Noetherianity of polynomial functors II: base rings with Noetherian spectrum. [PDF]
Math Ann, 2023 Bik A, Danelon A, Draisma J.
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