Results 11 to 20 of about 59,986 (267)

A Definition of Type Domain of a Parallelotope

open access: yesМоделирование и анализ информационных систем, 2013
Each convex polytope P = P(α) can be described by a set of linear inequalities determined by vectors p and right hand sides α(p). For a fixed set of vectors p, a type domain D(P₀) of a polytope P₀ and, in particular, of a parallelotope P₀ is defined as a
V. P. Grishukhin
doaj   +3 more sources

Identities, inequalities for Boole-type polynomials: approach to generating functions and infinite series

open access: yesJournal of Inequalities and Applications, 2019
The main purpose and motivation of this work is to investigate and provide some new identities, inequalities and relations for combinatorial numbers and polynomials, and for Peters type polynomials with the help of their generating functions. The results
Yilmaz Simsek, Ji Suk So
doaj   +1 more source

Derivation of computational formulas for Changhee polynomials and their functional and differential equations

open access: yesJournal of Inequalities and Applications, 2020
The goal of this paper is to demonstrate many explicit computational formulas and relations involving the Changhee polynomials and numbers and their differential equations with the help of functional equations and partial derivative equations for ...
Ji Suk So, Yilmaz Simsek
doaj   +1 more source

Estimating Multidimensional Persistent Homology through a Finite Sampling [PDF]

open access: yes, 2015
An exact computation of the persistent Betti numbers of a submanifold $X$ of a Euclidean space is possible only in a theoretical setting. In practical situations, only a finite sample of $X$ is available.
Cavazza, Niccolò   +2 more
core   +2 more sources

A generalized formula of Hardy

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1994
We give new formulae applicable to the theory of partitions. Recent work suggests they also relate to quasi-crystal structure and self-similarity. Other recent work has given continued fractions for the type of functions herein.
Geoffrey B. Campbell
doaj   +1 more source

Depth lower bounds in Stabbing Planes for combinatorial principles [PDF]

open access: yesLogical Methods in Computer Science
Stabbing Planes (also known as Branch and Cut) is a proof system introduced very recently which, informally speaking, extends the DPLL method by branching on integer linear inequalities instead of single variables.
Stefan Dantchev   +3 more
doaj   +1 more source

On the Relationship between Convex Bodies Related to Correlation Experiments with Dichotomic Observables [PDF]

open access: yes, 2006
In this paper we explore further the connections between convex bodies related to quantum correlation experiments with dichotomic variables and related bodies studied in combinatorial optimization, especially cut polyhedra.
  +23 more
core   +3 more sources

Convex underestimating relaxation techniques for nonconvex polynomial programming problems: computational overview

open access: yesJournal of the Mechanical Behavior of Materials, 2015
This paper introduces constructing convex-relaxed programs for nonconvex optimization problems. Branch-and-bound algorithms are convex-relaxation-based techniques.
Keller André A.
doaj   +1 more source

Limitations of Variational Quantum Algorithms: A Quantum Optimal Transport Approach

open access: yesPRX Quantum, 2023
The impressive progress in quantum hardware of the last years has raised the interest of the quantum computing community in harvesting the computational power of such devices.
Giacomo De Palma   +3 more
doaj   +1 more source

Two bounds on the noncommuting graph

open access: yesOpen Mathematics, 2015
Erdős introduced the noncommuting graph in order to study the number of commuting elements in a finite group. Despite the use of combinatorial ideas, his methods involved several techniques of classical analysis.
Nardulli Stefano, Russo Francesco G.
doaj   +1 more source

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