Results 21 to 30 of about 8,614,380 (320)
Decomposition Strategies to Count Integer Solutions over Linear Constraints
Counting integer solutions of linear constraints has found interesting applications in various fields. It is equivalent to the problem of counting integer points inside a polytope. However, state-of-the-art algorithms for this problem become too slow for
Cunjing Ge, Armin Biere
semanticscholar +1 more source
This study investigates the multistability phenomenon and coexisting attractors in the modified Autonomous Van der Pol-Duffing (MAVPD) system and its fractional-order form.
A. E. Matouk +4 more
doaj +1 more source
An elementary proof of Fermat’s last theorem for all even exponents
An elementary proof that the equation x2n + y2n = z2n can not have any non-zero positive integer solutions when n is an integer ≥ 2 is presented. To prove that the equation has no integer solutions it is first hypothesized that the equation has integer ...
Karmakar Sudhangshu B.
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A complicated system of two equations with two variables is considered. The theory of equations of higher orders required for solution is given. Many different methods of solution are indicated.
Juozas Juvencijus Mačys
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On Polynomial Solutions of Pell’s Equation
Polynomial Pell’s equation is x2−Dy2=±1, where D is a quadratic polynomial with integer coefficients and the solutions X,Y must be quadratic polynomials with integer coefficients. Let D=a2x2+a1x+a0 be a polynomial in Zx.
Hasan Sankari, Ahmad Abdo
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A Comparative Study of the Fractional-Order Clock Chemical Model
In this paper, a comparative study has been made between different algorithms to find the numerical solutions of the fractional-order clock chemical model (FOCCM). The spectral collocation method (SCM) with the shifted Legendre polynomials, the two-stage
Hari Mohan Srivastava, Khaled M. Saad
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Flow shop scheduling with earliness, tardiness and intermediate inventory holding costs [PDF]
We consider the problem of scheduling customer orders in a flow shop with the objective of minimizing the sum of tardiness, earliness (finished goods inventory holding) and intermediate (work-in-process) inventory holding costs. We formulate this problem
Bulbul, Kerem +3 more
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A Survey for Solving Mixed Integer Programming via Machine Learning [PDF]
This paper surveys the trend of leveraging machine learning to solve mixed integer programming (MIP) problems. Theoretically, MIP is an NP-hard problem, and most of the combinatorial optimization (CO) problems can be formulated as the MIP.
Jiayi Zhang +5 more
semanticscholar +1 more source
An equation involving the F.Smarandache multiplicative function [PDF]
The main purpose of this paper is using the elementary methods to study the solutions of an equation involving the F.Smarandache multiplicative function, and give its all positive integer ...
Chen, Jianbin
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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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