Results 21 to 30 of about 3,061,238 (284)
On integer solutions of Parsell–Vinogradov systems [PDF]
Inventiones mathematicae, 2019 55 ...
Guo, Shaoming, Zhang, Ruixiang
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Enumerating solution-free sets in the integers [PDF]
Electronic Notes in Discrete Mathematics, 2016 Abstract Given a linear equation L , a set A ⊆ [ n ] is L -free if A does not contain any ‘non-trivial’ solutions to L . In this paper we consider the following three general questions: (i) What is the size of the largest L -free subset of [n]? (ii) How many L -free subsets of [n] are there?
Robert Hancock 0002, Andrew Treglown
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Open Physics, 2023 A pathological study in the definition of uncertain numbers is carried out, and some solutions are proposed. Fundamental theorems for uncertain discrete fractional and integer order calculus are established.
Shiri Babak +2 more
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ON THE INFERIOR AND SUPERIOR k-TH POWER PART OF A POSITIVE INTEGER AND DIVISOR FUNCTION [PDF]
, 2000 For any positive integer n, let a{n) and b{n) denote the inferior and superior k-th power part of n ...
ZHENG, JIANFENG
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Generalized Pell Equations for 2 × 2 Matrices
Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper we consider the solutions of the generalized matrix Pell equations X2 − dY2 = cI, where X and Y are 2 × 2 matrices over ℤ, d is a non-zero (positive or negative) square-free integer, c is an arbitrary integer and I is the 2 × 2 identity ...
Cohen Boaz
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IEEE Access, 2022 A new technique of the Adomian decomposition method is developed and applied in this research article to solve two-term diffusion wave and fractional telegraph equations with initial-boundary conditions.
Hajira +6 more
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Entropy, 2019 In the present article, we related the analytical solution of the fractional-order dispersive partial differential equations, using the Laplace–Adomian decomposition method.
Rasool Shah +3 more
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Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers
Discrete Dynamics in Nature and Society, 2011 This paper studies a third-order conditional difference equation which is a generalization from the literature. We investigate this equation by transforming it into a first-order system. Finally it is proved that the equation has no period-two (or three)
Li He, Wanping Liu
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Fractal and Fractional, 2022 This study aims to identify soliton structures as an inherent fractional discrete nonlinear electrical transmission lattice. Here, the analysis is founded on the idea that the electrical properties of a capacitor typically contain a non-integer-order ...
Hassan Almusawa, Adil Jhangeer
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Transformation of propositional calculus statements into integer and mixed integer programs: An approach towards automatic reformulation [PDF]
, 1990 A systematic procedure for transforming a set of logical statements or logical conditions imposed on a model into an Integer Linear Progamming (ILP) formulation Mixed Integer Programming (MIP) formulation is presented. An ILP stated as a system of linear
Hadjiconstantinou, E
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