On Algebraic Independence of Solutions of Generalized Hypergeometric Equations
Axioms, 2021 We present solutions for general theorems regarding algebraic independence of solutions of hypergeometric equation ensembles and the values of these solutions at algebraic points. The conditions of the theorems are necessary and sufficient.
Vasily Gorelov
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On the Algebraic Independence of the Values of Functions Associated with Hypergeometric Functions [PDF]
Axioms, 2022 Functions that are integrals of products of generalized hypergeometric functions of some kind are considered. The conditions for the representability of these functions as a polynomial in hypergeometric ones are found.
Vasily Gorelov
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A combinatory approach of non-chain ring and henon map for image encryption application [PDF]
Scientific ReportsAlgebraic structures play a vital role in securing important data. These structures are utilized to construct the non-linear components of block ciphers.
Salman Mohi Ud Din +4 more
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Structure of the (Total) Transformation Monoids Under Rank N Generators [version 1; peer review: 2 approved] [PDF]
F1000ResearchThroughout this paper our study focuses on transformation semigroups. These kinds of semigroups are the corner stone of semigroup theory. This is because every semigroup is isomorphic to transformation semigroup.
Asawer Al-Aadhami, Hala M. Sulaiman
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Algebraic Aspects of Conditional Independence and Graphical Models
, 2017 This chapter of the forthcoming Handbook of Graphical Models contains an overview of basic theorems and techniques from algebraic geometry and how they can be applied to the study of conditional independence and graphical models.
Kahle, Thomas +2 more
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An optimized substitution box generator based on cubic pell curves and its application in image encryption [PDF]
Scientific ReportsIn today’s digital landscape, safeguarding confidential data from cyber threats and unauthorized breaches is more crucial than ever. A key component in modern cryptographic systems is the substitution box (S-box), which ensures data security through ...
Mohammad Abdul Mujeeb Khan +2 more
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Discontinuity and diversity of Persian scientific research journals in the field of educational sciences by using coloring and mathematical algebraic parameters [PDF]
ریاضی و جامعه, 2022 The aim of the current research is to study and compare graphs authorship by Iranian researchers in Persian scientific research journals in the field of educational sciences by using algebraic parameters of mathematics. In this research, the data related
Ali Abdi, Mostafa Amini
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Schanuel’s Conjecture and the Transcendence of Power Towers
Mathematics, 2021 We give three consequences of Schanuel’s Conjecture. The first is that P(e)Q(e) and P(π)Q(π) are transcendental, for any non-constant polynomials P(x),Q(x)∈Q¯[x]. The second is that π≠αβ, for any algebraic numbers α and β.
Eva Trojovská, Pavel Trojovský
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On criteria for algebraic independence of collections of functions satisfying algebraic difference relations [PDF]
Opuscula Mathematica, 2017 This paper gives conditions for algebraic independence of a collection of functions satisfying a certain kind of algebraic difference relations. As applications, we show algebraic independence of two collections of special functions: (1) Vignéras ...
Hiroshi Ogawara
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v*-ALGEBRAS, INDEPENDENCE ALGEBRAS AND LOGIC [PDF]
International Journal of Algebra and Computation, 2011 Independence algebras were introduced in the early 1990s by specialists in semigroup theory, as a tool to explain similarities between the transformation monoid on a set and the endomorphism monoid of a vector space. It turned out that these algebras had already been defined and studied in the 1960s, under the name of v*-algebras, by specialists in ...
Araújo, João +2 more
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