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In this paper, we study multivariate vector sampling expansions on general finitely generated shift-invariant subspaces. Necessary and sufficient conditions for a multivariate vector sampling theorem to hold are given.

信息论 · 计算机科学 2015-03-17 Qingyue Zhang

We prove that the problem of counting the number of colourings of the vertices of a graph with at most two colours, such that the colour classes induce connected subgraphs is #P-complete. We also show that the closely related problem of…

组合数学 · 数学 2017-01-24 Andrew J. Goodall , Steven D. Noble

We show that any multiple-valued function can be represented by a linear lambda term typed in a second-order polymorphic type system, using two distinct styles. The first is a circuit style, which mimics combinational circuits in switching…

编程语言 · 计算机科学 2026-03-30 Satoshi Matsuoka

Multidimensional combinatorial substitutions are rules that replace symbols by finite patterns of symbols in $\mathbb Z^d$. We focus on the case where the patterns are not necessarily rectangular, which requires a specific description of…

离散数学 · 计算机科学 2014-06-27 Timo Jolivet , Jarkko Kari

Let $ R=k[x_1...x_r]$ and $M$ a multigraded $R-$module. In this work we interpret $M$ as a multipersistent homology module and give a multigraded resolution of it. The construction involves cellular resolutions of monomial ideals and…

代数拓扑 · 数学 2015-12-22 Wojciech Chacholski , Martina Scolamiero , Francesco Vaccarino

If we fix a spanning subgraph $H$ of a graph $G$, we can define a chromatic number of $H$ with respect to $G$ and we show that it coincides with the chromatic number of a double covering of $G$ with co-support $H$. We also find a few…

组合数学 · 数学 2008-09-04 Dongseok Kim , Jaeun Lee

We show that many infinite classes of permutations over finite fields can be constructed via translators with a large choice of parameters. We first charac- terize some functions having linear translators, based on which several families of…

信息论 · 计算机科学 2016-12-13 Nastja Cepak , Pascale Charpin , Enes Pasalic

Graph colorings are becoming an increasingly useful family of mathematical models for a broad range of applications, such as time tabling and scheduling, frequency assignment, register allocation, computer security and so on. Graph proper…

组合数学 · 数学 2016-01-06 Bing Yao , Ming Yao , Xiang-en Chen

In this paper we explore solvability of steady-state variational inequalities with multivalued operators. Moreover, we are studying the connections between the class of radially semi-continuous operators with semi-bounded variation and…

funct-an · 数学 2008-02-03 O. V. Solonoukha

An exactly solvable model is used to investigate the assumptions behind color transparency.

核理论 · 物理学 2009-09-25 D. Makovoz , G. A. Miller

The extensions of hypersubstitutions are mappings on the set of all terms. In the present paper we characterize all hypersubstitutions which provide bijections on the set of all terms. The set of all such hypersubstitutions forms a monoid.…

环与代数 · 数学 2008-11-21 Jorg Koppitz , Slavcho Shtrakov

We prove some semipositivity theorems for singular varieties coming from graded polarizable admissible variations of mixed Hodge structure. As an application, we obtain that the moduli functor of stable varieties is semipositive in the…

代数几何 · 数学 2018-02-13 Osamu Fujino

We introduce the concepts of marked multi-colorings, marked chromatic polynomials, and marked (multivariate) independence series for hypergraphs. We show that the coefficients of the q-th power of the marked independence series of a…

组合数学 · 数学 2025-07-29 Chaithra P , Shushma Rani , R. Venkatesh

In this paper, we discuss a general framework for multicontinuum homogenization. Multicontinuum models are widely used in many applications and some derivations for these models are established. In these models, several macroscopic…

数值分析 · 数学 2023-09-18 E. Chung , Y. Efendiev , J. Galvis , W. T. Leung

To describe highly heterogeneous systems using the Cahn-Hilliard equation, the standard form of the thermodynamic potential with a constant coefficient in the gradient term and a polynomial of the fourth degree may not be sufficient. The…

材料科学 · 物理学 2025-01-20 P. O. Mchedlov-Petrosyan , L. N. Davydov , O. A. Osmaev

In this paper, we have defined bicomplex valued functions of bounded variations and rectifiable hyperbolic path. We have studied the integration of product-type bicomplex functions over rectifiable hyperbolic path. Also we have established…

复变函数 · 数学 2024-01-18 Chinmay Ghosh , Soumen Mondal

We discuss the possibility to suppress the nonperturbative effects if the very high multiplicity hadron final states are chosen. The theoretical uncertainties and possible experimental measurements are described.

高能物理 - 唯象学 · 物理学 2007-05-23 J. Manjavidze , A. Sissakian

In that paper, we recall the notion of the multidegree for $D$-modules, as exposed in a previous paper, with a slight simplification. A particular emphasis is given on hypergeometric systems, used to provide interesting and computable…

环与代数 · 数学 2011-10-26 Rémi Arcadias

This article presents new colored link invariants by introducing the concepts of multi-quandles and topological multi-quandles.

几何拓扑 · 数学 2023-09-18 Georgy C Luke , B. Subhash

A module $M$ is called H-supplemented if for every submodule $A$ of $M$ there is a direct summand $A'$ of $M$ such that $A+X=M$ holds if and only if $A'+X=M$ for any submodule $X$ of $M$. (Equivalently, for each $X\leq M$, there exists a…

环与代数 · 数学 2015-03-17 Yongduo Wang , Dejun Wu