Results 11 to 20 of about 361,091 (296)

Secret Cryptographic Key Sharing Through the Integer Partition Function

open access: yesInformation
Secret key exchange is a necessary function for modern cryptography. The integer partition function is a mathematical function that arises from number theory.
Daniel Fernandes da Nobrega   +5 more
doaj   +2 more sources

Cutting plane methods for general integer programming [PDF]

open access: yes, 1993
Integer programming (IP) problems are difficult to solve due to the integer restrictions imposed on them. A technique for solving these problems is the cutting plane method.
Mitra, G   +5 more
core   +6 more sources

Transformation of propositional calculus statements into integer and mixed integer programs: An approach towards automatic reformulation [PDF]

open access: yes, 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
core   +6 more sources

Some Separable integer partition classes [PDF]

open access: yes, 2023
Recently, Andrews introduced separable integer partition classes and analyzed some well-known theorems. In this paper, we investigate partitions with parts separated by parity introduced by Andrews with the aid of separable integer partition classes with
Chen, Y. H.   +3 more
core   +1 more source

GENERALIZATION OF PARTITION FUNCTION, INTRODUCING SMARANDACHE FACTOR PARTITION [PDF]

open access: yes, 2004
Partition function P(n) is defined as the number of ways that a positive integer can be expressed as the sum of positive integers.
Murthy, Amarnath
core   +1 more source

New Algorithm to Solve Mixed Integer Quadratically Constrained Quadratic Programming Problems Using Piecewise Linear Approximation

open access: yesMathematics, 2022
Techniques and methods of linear optimization underwent a significant improvement in the 20th century which led to the development of reliable mixed integer linear programming (MILP) solvers. It would be useful if these solvers could handle mixed integer
Loay Alkhalifa, Hans Mittelmann
doaj   +1 more source

Combinatorics and Statistical Mechanics of Integer Partitions

open access: yesEntropy, 2023
We study the set of integer partitions as a probability space that generates distributions and, in the asymptotic limit, obeys thermodynamics. We view ordered integer partition as a configuration of cluster masses and associate them with the distribution
Themis Matsoukas
doaj   +1 more source

Multisectioned partitions of integers [PDF]

open access: yesPacific Journal of Mathematics, 1977
This paper presents identities on generating functions for multisectioned partitions of integers by developing in the language of partitions some powerful and essentially combinatorial techniques from the literature of principal differential ideals. D. Mead has stated in Vol. 42 of this journal that one can obtain interesting combinatorial relations by
openaire   +3 more sources

On The Partition Dimension of Disconnected Graphs

open access: yesJournal of Mathematical and Fundamental Sciences, 2017
For a graph G=(V,E), a partition Ω=\{O_1,O_2,…,O_k \} of the vertex set V is called a resolving partition if every pair of vertices u,v∈V(G) have distinct representations under Ω.
Debi Oktia Haryeni   +2 more
doaj   +1 more source

Alignment of rods and partition of integers [PDF]

open access: yesPhysical Review E, 2006
We study dynamical ordering of rods. In this process, rod alignment via pairwise interactions competes with diffusive wiggling. Under strong diffusion, the system is disordered, but at weak diffusion, the system is ordered. We present an exact steady-state solution for the nonlinear and nonlocal kinetic theory of this process.
Ben-Naim, E., Krapivsky, P. L.
openaire   +3 more sources

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