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PERMUTATION: 作品数：181被引量：137H指数：6; 导出分析报告; 相关作者：黄群林洁梅陈平雁钱俊赵佳因更多>>; 相关机构：南方医科大学北京城市学院空军军医大学（第四军医大学）上海大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划福建省自然科学基金国家教育部博士点基金更多>>

Coupling Product on Permutations: 《Journal of Applied Mathematics and Physics》2024年第12期4104-4111,共8页Yishuo Yang Huilan Li; In combinatorics, permutations are important objects with many operations. In this paper, we define a coupling product on permutations and prove that the space spanned by permutations is a graded algebra.; 关键词：PERMUTATION Coupling Product GRADED ALGEBRA

Enumerating Pattern-avoiding Fishburn Permutations Subject to Seven Statistics: 《Journal of Mathematical Research with Applications》2024年第4期427-436,共10页Yujie DU Philip B.ZHANG; National Natural Science Foundation of China(Grant No.12171362)。; Fishburn permutations are in bijection with several important combinatorial structures including interval orders.In this paper,we use the method of generating trees to enumerate two classes of pattern-avoiding Fishbur...; 关键词：Fishburn permutation Fishburn number pattern avoidance generating tree

Experimental realization of non-Abelian permutations in a three-state non-Hermitian system: 《National Science Review》2022年第11期74-81,共8页Weiyuan Tang Kun Ding Guancong Ma; supported by the National Natural Science Foundation of China (11922416,11802256 and 12174072);the Hong Kong Research Grants Council (12302420, 12300419, 22302718 and C6013-18 G);the Hong Kong Baptist University(RC-SGT2/18-19/SCI/006); Eigenstates of a non-Hermitian system exist on complex Riemannian manifolds,with multiple sheets connecting at branch cuts and exceptional points(EPs).These eigenstates can evolve across different sheets—a process th...; 关键词：non-Abelian permutation non-Hermitian physics topological physics acoustics

ENTANGLEMENT WITNESSES CONSTRUCTED BY PERMUTATION PAIRS: 《Acta Mathematica Scientia》2021年第3期843-874,共32页Jinchuan HOU Wenli WANG; partially supported by National Natural Science Foundation of China(11671294,12071336)。; For n≥3,we construct a class{Wn,π1,π2}of n^(2)×n^(2) hermitian matrices by the permutation pairs and show that,for a pair{π1,π2}of permutations on(1,2,…,n),Wn,π1,π2 is an entanglement witness of the n⊗n syste...; 关键词：Separable states entangled states positive maps entanglement witnesses PERMUTATIONS

Constructing Permutation Binomials from Permutations of Subfields: 《Wuhan University Journal of Natural Sciences》2020年第4期330-336,共7页QIN Xiaoer YAN Li; Supported Partially by the National Natural Science Foundation of China(11926344);Science and Technology Research Projects of Chongqing Municipal Education Commission(KJQN201901402,KJQN201900506);Fund Project of Chongqing Normal University(17XWB021)。; Permutation polynomials is a hot topic in finite fields,they have many applications in different areas.Permutation binomials and trinomials over finite fields were studied recently.In thispaper,by using a powerful lem...; 关键词：finite field permutation binomials normalized permutation polynomials

Singly Covered Minimal Elements of Linked Partitions and Cycles of Permutations: 《Communications in Mathematical Research》2019年第1期75-80,共6页Guo Wen-kui Niu Fei-fei Du Xian-kun; The NSF(11601020,11501014) of China;2017 Commercial Specialty Project(19005757053) of BTBU;2018 Postgraduate Research Capacity Improvement Project(19008001491) of BTBU; Linked partitions were introduced by Dykema(Dykema K J. Multilinear function series and transforms in free probability theory. Adv. Math., 2005, 208(1):351–407) in the study of the unsymmetrized T-transform in free p...; 关键词：singly COVERED MINIMAL element linked PARTITION PERMUTATION cycle

POSITIVE MAPS CONSTRUCTED FROM PERMUTATION PAIRS被引量：1: 《Acta Mathematica Scientia》2019年第1期148-164,共17页Jinchuan HOU Haili ZHAO; partially supported by National Natural Science Foundation of China(11671294); A property(C) for permutation pairs is introduced. It is shown that if a pair{π_1, π_2} of permutations of(1,2,…,n) has property(C),then the D-type map Φ_(π_1,π_2) on n× n complex matrices constructed from {π...; 关键词：matrix ALGEBRAS positive linear MAPS PERMUTATIONS quantum information

Non-Monomial Permutations with Differential Uniformity Six被引量：1: 《Journal of Systems Science & Complexity》2018年第4期1078-1089,共12页TU Ziran ZENG Xiangyong; supported by the National Science Foundation of China under Grant Nos.11401172 and 61672212; In this paper, a family of non-monomial permutations over the finite field F2n with differential uniformity at most 6 is proposed, where n is a positive integer. The algebraic degree of these functions is also determi...; 关键词：Algebraic degree differential spectrum differential uniformity PERMUTATION

A new family of differentially 4-uniform permutations over F_(2^(2k))for odd k被引量：3: 《Science China Mathematics》2016年第6期1221-1234,共14页PENG Jie TAN ChikHow WANG QiChun; supported by National Natural Science Foundation of China(Grant Nos.61202463 and 61202471);Shanghai Key Laboratory of Intelligent Information Processing(Grant No.IIPL-2014-005); We study the differential uniformity of a class of permutations over F2 n with n even. These permutations are different from the inverse function as the values x^(-1) are modified to be(γx)^(-1) on some cosets of a f...; 关键词：differential uniformity PERMUTATION algebraic degree nonlinearity COSET

Further results on differentially 4-uniform permutations over F2^2m被引量：4: 《Science China Mathematics》2015年第7期1577-1588,共12页ZHA ZhengBang HU Lei SUN SiWei SHAN JinYong; supported by National Basic Research Programme of China(Grant No.2013CB834203);National Natural Science Foundation of China(Grant Nos.11201214 and 61472417);the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDA06010702); We present several new constructions of differentially 4-uniform permutations over F22 mby modifying the values of the inverse function on some subsets of F22 m. The resulted differentially 4-uniform permutations have...; 关键词：PERMUTATION differentially 4-uniform function NONLINEARITY algebraic degree

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