Results 11 to 20 of about 839 (184)
Groups with context-free Diophantine problem [PDF]
Groups, 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
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Techno.Com, 2023 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]
Bulletin 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
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Mathematics, 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
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IEEE 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
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Research and development of the mathematic models of cryptosystems based on the universal Diophantine language [PDF]
SHS Web of Conferences, 2022 This paper shows the objective necessity of improving the information security systems under the development of information and telecommunication technologies.
Osipyan V.O., Litvinov K.I., Zhuck A.S.
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On the size of Diophantine m-tuples in imaginary quadratic number rings
Bulletin of Mathematical Sciences, 2021 A Diophantine m-tuple is a set of m distinct integers such that the product of any two distinct elements plus one is a perfect square. It was recently proven that there is no Diophantine quintuple in positive integers.
Nikola Adžaga
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The integer solutions of the cubic Diophantine equation x3±33=pqy2
Xi'an Gongcheng Daxue xuebao, 2021 The solvability of a class of cubic Diophantine equations is studied by using properties of congruence, Legendre symbol and the methods of elementary number theory.
Heng LI, Hai YANG, Yongliang LUO
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Hilbert's Tenth Problem in Coq (Extended Version) [PDF]
Logical Methods in Computer Science, 2022 We formalise the undecidability of solvability of Diophantine equations, i.e. polynomial equations over natural numbers, in Coq's constructive type theory.
Dominique Larchey-Wendling +1 more
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On the solution of the exponential Diophantine equation 2x+m2y=z2, for any positive integer m [PDF]
Journal of Hyperstructures, 2023 It is well known that the exponential Diophantine equation 2x+ 1=z2 has the unique solution x=3 and z=3 innon-negative integers, which is closely related to the Catlan's conjecture.
Mridul Dutta, Padma Bhushan Borah
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