Results 31 to 40 of about 523 (176)
Hyperelliptic Covers of Different Degree for Elliptic Curves
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In elliptic curve cryptography (ECC) and hyperelliptic curve cryptography (HECC), the size of cipher‐text space defined by the cardinality of Jacobian is a significant factor to measure the security level. Counting problems on Jacobians of elliptic curve can be solved in polynomial time by Schoof–Elkies–Atkin (SEA) algorithm. However, counting problems
Jing Fan +4 more
wiley +1 more source
The FEBS Journal, Volume 288, Issue 13, Page 4000-4023, July 2021., 2021 The chromatin remodelers CHD3 and SNF2H are central regulators of chromatin structure by repositioning histone octamers on DNA in an ATP‐dependent mechanism. Sequence differences in the ATPase domain make CHD3 a more energy efficient chromatin remodeling enzyme and being less susceptible to competitive inhibition by ADP.
Helen Hoffmeister +9 more
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Minimal basis of the syzygies module of leading terms
Труды Института системного программирования РАН, 2019 Systems of polynomial equations are one of the most universal mathematical objects. Almost all the problems of cryptographic analysis can be reduced to finding solutions to systems of polynomial equations.
A. V. Sokurov
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Quantum computation of Groebner basis
, 2021 In this essay, we examine the feasibility of quantum computation of Gr\"obner basis which is a fundamental tool of algebraic geometry. The classical method for computing Gr\"obner basis is based on Buchberger's algorithm, and our question is how to adopt quantum algorithm there.
Ichio Kikuchi, Akihito Kikuchi
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Tropical Differential Groebner Basis
CoRR, 2019 In this paper, the tropical differential Gröbner basis is studied, which is a natural generalization of the tropical Gröbner basis to the recently introduced tropical differential algebra. Like the differential Gröbner basis, the tropical differential Gröbner basis generally contains an infinite number of elements.
Youren Hu, Xiao-Shan Gao
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Bifurcation sets of extended Higgs potential
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 One of the most actual problems in modern particle physics is the problem of the baryon charge evidence in the Universe. In the frameworks of supersymmetric models, phase transitions and catastrophe theory it is possible to describe the baryogenesis.
Mikhail V Dolgopolov +2 more
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Generalization of Buchberger’s Algorithm with Respect to Several Orderings on Difference Modules
پژوهشهای ریاضی, 2021 Grobner basis with respect to several orderings is a powerful tool to compute multivariate difference dimension polynomials. In this paper, an algorithm for computing a Grobner basis of a difference module over a ground difference field with respect to ...
hamzeh harfsheno +2 more
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Groebner Basis and its Applications
International Journal of Engineering and Advanced Technology, 2019 This paper is a survey on Groebner basis and its applications on some areas of Science and Technology. Here we have presented some of the applications of concepts and techniques from Groebner basis to broader area of science and technology such as applications in steady state detection of chemical reaction network (CRN) by determining kinematics ...
Yengkhom Satyendra Singh +1 more
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Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]
, 2010 We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Regensburger, Georg +4 more
core +1 more source
Satisfying positivity requirement in the Beyond Complex Langevin approach
EPJ Web of Conferences, 2018 The problem of finding a positive distribution, which corresponds to a given complex density, is studied. By the requirement that the moments of the positive distribution and of the complex density are equal, one can reduce the problem to solving the ...
Wyrzykowski Adam, Ruba Błażej Ruba
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