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DIVISIBILITY: 作品数：14被引量：7H指数：1; 导出分析报告; 相关领域：理学自动化与计算机技术更多>>; 相关作者：庞超更多>>; 相关机构：南开大学更多>>; 相关期刊：《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》《Chinese Journal of Electronics》《Open Journal of Statistics》更多>>; 相关基金：国家自然科学基金更多>>

More Divisibility Properties for Binomial Coefficients: 《Journal of Mathematical Research with Applications》2022年第6期561-579,共19页Jiaqi XIAO Yuqing HE Pingzhi YUAN; National Natural Science Foundations of China(Grant No.12171163)。; Let a,b and n be positive integers with a>b,we prove the following divisibility property:For all positive integers n,we have(2bn+1)(2bn+3)(2bn+5)(2bn bn)|15(a-b)(3a-b)(5a-b)(5a-3b)(2an an)(an bn),which extends the res...; 关键词：binomial coefficients p-adic order divisibility property

Divisibility Properties of Power Matrices Associated with Arithmetic Functions on a Divisor Chain: 《Algebra Colloquium》2022年第3期527-540,共14页Long Chen Zongbing Lin Qianrong Tan; supported partially by Doctoral Research Initiation FundProjectof PanzhihuaUniversity(bkqj2019050).; Let a,b and n be positive integers withn≥2,f be an integer-valued arithmetic function,and the set S={x_(1),…,x_(n)}of n distinct positive integers be a divisor chain such that x_(1)|x_(2)|⋯|x_(n).We first show that ...; 关键词：divisor chain integer-valued arithmetic function integer matrix DIVISIBILITY

2-divisibility of Some Odd Hole Free Graphs: 《Acta Mathematicae Applicatae Sinica》2022年第3期710-718,共9页Wei DONG Jia-lei SONG Bao-gang XU; supported by the National Natural Science Foundation of China(No.11931006)。; Let G be a graph.We say that G is 2-divisible if for each induced subgraph H of G,either V(H)is a stable set,or V(H)can be partitioned into two sets A and B such thatω(H[A])<ω(H)andω(H[B])<ω(H).A hole is an induce...; 关键词：HOLE odd hole 2-divisibility

AN EXTENSION OF ZOLOTAREV'S PROBLEM AND SOME RELATED RESULTS: 《Acta Mathematica Scientia》2021年第5期1619-1634,共16页Tran Loc HUNG Phan Tri KIEN; The main purpose of this paper is to extend the Zolotarev's problem concerning with geometric random sums to negative binomial random sums of independent identically distributed random variables.This extension is equi...; 关键词：Zolotarev's problem geometric random sum negative binomial random sum negative binomial infinitely divisibility Trotter-operator technique

INHERITANCE OF DIVISIBILITY FORMS A LARGE SUBALGEBRA: 《Acta Mathematica Scientia》2021年第1期85-96,共12页Qingzhai FAN Xiaochun FANG Xia ZHAO; supported by National Natural Sciences Foundation of China(11501357,11571008);supported by National Natural Sciences Foundation of China(11871375)。; Let A be an infinite dimensional stably finite unital simple separable C^(*)-algebra.Let B■A be a stably(centrally)large subalgebra in A such that B is m-almost divisible(m-almost divisible,weakly(m,n)-divisible).The...; 关键词：C^(*)-algebras large subalgebra Cuntz semigroup

Divisibility Proper ties of the Semiring of Ideals of an Integral Domain: 《Algebra Colloquium》2020年第3期369-380,共12页Gyu Whan Chang HwanKoo Kim; supported by the Incheon National University Research Grant in 2018(Grant No.2018-0014).; Let D be an integral domain,F^(+)(D)(resp.,f^(+)(D))be the set of nonzero(resp.,nonzero finitely generated)ideals of D,R_(1)=f+(D)∪{(0)},and R_(2)=F+(D)∪{(0)}.Then(R_(i),㊉,■)for i=1,2 is a commutative semiring wit...; 关键词：star operation P*MD *-Dedekind domain Gaussian semiring Bezout semiring unique factorization semidomain principal ideal semidomain

Maximum Entropy Empirical Likelihood Methods Based on Bivariate Laplace Transforms and Moment Generating Functions: 《Open Journal of Statistics》2018年第2期264-283,共20页Andrew Luong; Maximum Entropy Empirical Likelihood (MEEL) methods are extended to bivariate distributions with closed form expressions for their bivariate Laplace transforms (BLT) or moment generating functions (BMGF) without close...; 关键词：BIVARIATE Power Mixture Operator Laplace Transform COPULAS CHI-SQUARE Test Statistics BIVARIATE NORMALITY Infinite DIVISIBILITY Empirical Likelihood

On the Lower Bound of the Divisibility of Exponential Sums in Binomial Case: 《Communications in Mathematical Research》2017年第4期359-362,共4页LIU XIAO-GANG Du Xian-kun; The NSF(61502230)of China; In this article, we analyze the lower bound of the divisibility of families of exponential sums for binomials over prime field. An upper bound is given for the lower bound, and, it is related to permutation polynomials.; 关键词：exponential sum finite field BINOMIAL permutation polynomial

On Irrational Points in the Plane: 《Advances in Pure Mathematics》2017年第4期299-305,共7页Thomas Beatty Timothy Jones; This paper summarizes research intended to develop a pedagogically friendly argument that establishes the fact that (x,ex ) is never a rational point in the plane. A point (x, y)∈R2 is rational if both x and y are ra...; 关键词：RATIONAL Point IRRATIONALITY SUM of Derivatives PRIME DIVISIBILITY HURWITZ Polynomial

Schematic Extensions of MTL by Adding Weak Divisibility Axiom: 《Chinese Journal of Electronics》2016年第5期824-831,共8页ZHOU Jianren WU Hongbo; supported by National Natural Science Foundation of China(No.61572016,No.11531009);the Fundamental Research Funds for the Central Universities(No.GK201501001); MTL is a Monoidal t-norm based logic introduced by Esteva and Godo by omitting divisibility axiom from H′ajek's Basic logic(BL). Many logics can be obtained by adding axioms to MTL logic. Logic system WBL is obtained...; 关键词：Many-valued logic Monoidal t-norm based logic（MTL） WBL logic WMV logic Weak Wajsberg algebra Simplification

DIVISIBILITY