Results 11 to 20 of about 11,736 (207)

The extensibility of the Diophantine triple {2, b, c}

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
The aim of this paper is to consider the extensibility of the Diophantine triple {2, b, c}, where 2 < b < c, and to prove that such a set cannot be extended to an irregular Diophantine quadruple.
Adžaga Nikola   +2 more
doaj   +2 more sources

On the Number of Nonnegative Solutions to the Inequality a1 +....ar < n [PDF]

open access: yes, 2010
In this paper, we present a simple and fast method for counting the number of nonnegative integer solutions to the equality a1x1+a2x2+: : :+arxr = n where a1; a2; :::; ar and n are positive integers.
Farzaneh , A.   +3 more
core   +9 more sources

From Diophantine approximations to Diophantine equations [PDF]

open access: yesKeldysh Institute Preprints, 2016
Summary: Let in the real \(n\)-dimensional space \(\mathbb{R}^n=\{X\}\) be given \(m\) real homogeneous forms \(f_i(X), i=1,\dotsc,m, 2\leqslant m\leqslant n\). The convex hull of the set of points \(G(X)=(|f_1(X)|,\dotsc,|f_m(X)|)\) for integer \(X\in\mathbb Z^n\) in many cases is a convex polyhedral set. Its boundary for \(||X||
Bruno A. D. http://library.keldysh.ru/author_page.asp?aid=1428
openaire   +3 more sources

Unification and equation solving in nilpotent groups and monoids [PDF]

open access: yes, 1991
Unification and equation solving have been considered for groups [44], semigroups [43], abelian groups [39] and abelian semigroups [25], [33], [68], [69]. In this thesis we consider partially commutative groups and monoids. Nilpotency provides us with a
Burke, Edmund Kieran, Burke, E.K
core   +7 more sources

Integral zeroes of Krawtchouk polynomials [PDF]

open access: yes, 2012
This thesis was submitted for the degree of Master of Philosophy and awarded by Brunel University.Krawtchouk polynomials appear in many various areas of mathematics starting from discrete mathematics (e.g., in coding theory), association schemes, and in ...
Alenezi, Ahmad M
core   +7 more sources

Penerapan Flower Pollination Algorithm dengan Teknik Clustering dalam Penyelesaian Masalah Diophantine

open access: yesTechno.Com, 2023
Permasalahan Diophantine adalah suatu permasalahan yang diwakili persamaan atau sistem persamaan yang memerlukan bilangan bulat non-negatif sebagai solusi.
Rahmat Karim, - Salim
doaj   +1 more source

Diophantine problems in solvable groups [PDF]

open access: yesBulletin of Mathematical Sciences, 2020
We study the Diophantine problem (decidability of finite systems of equations) in different classes of finitely generated solvable groups (nilpotent, polycyclic, metabelian, free solvable, etc.), which satisfy some natural “non-commutativity” conditions.
Albert Garreta   +2 more
doaj   +1 more source

Groups with context-free Diophantine problem [PDF]

open access: yesGroups, Complexity, Cryptology, 2021
We find algebraic conditions on a group equivalent to the position of its Diophantine problem in the Chomsky Hierarchy. In particular, we prove that a finitely generated group has a context-free Diophantine problem if and only if it is finite.
Vladimir Yankovskiy
doaj   +1 more source

Heronian Mean Operators Based on Novel Complex Linear Diophantine Uncertain Linguistic Variables and Their Applications in Multi-Attribute Decision Making

open access: yesMathematics, 2021
In this manuscript, we combine the notion of linear Diophantine fuzzy set (LDFS), uncertain linguistic set (ULS), and complex fuzzy set (CFS) to elaborate the notion of complex linear Diophantine uncertain linguistic set (CLDULS). CLDULS refers to truth,
Zeeshan Ali   +2 more
doaj   +1 more source

Fabric Selection Problem Based on Sine Hyperbolic Fractional Orthotriple Linear Diophantine Fuzzy Dombi Aggregation Operators

open access: yesIEEE Access, 2023
The paper aims are to impersonate some robust sine-hyperbolic operations laws to determine the group decision-making process under the fractional orthotriple linear Diophantine fuzzy set (FOLDFS) situation.
Muhammad Qiyas   +3 more
doaj   +1 more source

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