Results 11 to 20 of about 11,736 (207)
The extensibility of the Diophantine triple {2, b, c}
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
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On the Number of Nonnegative Solutions to the Inequality a1 +....ar < n [PDF]
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
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From Diophantine approximations to Diophantine equations [PDF]
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]
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
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Integral zeroes of Krawtchouk polynomials [PDF]
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
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Permasalahan Diophantine adalah suatu permasalahan yang diwakili persamaan atau sistem persamaan yang memerlukan bilangan bulat non-negatif sebagai solusi.
Rahmat Karim, - Salim
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Diophantine problems in solvable groups [PDF]
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
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Groups with context-free Diophantine problem [PDF]
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
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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
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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
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