PERMUTATIONS

作品数:40被引量:25H指数:3
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相关领域:理学更多>>
相关作者:王雷徐德衡更多>>
相关机构:首都师范大学南开大学更多>>
相关期刊:《Science Bulletin》《National Science Review》《Journal of Applied Mathematics and Physics》《Intelligent Information Management》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王宽诚敎育基金更多>>
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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 
Research on enumeration problem of pattern-avoiding permutations
《Frontiers of Mathematics in China》2024年第4期191-213,共23页Tongyuan ZHAO Xiaoqing LI Feng ZHAO 
The problem of relevant enumeration with pattern-avoiding permutations is a significant topic in enumerative combinatorics and has wide applications in physics,chemistry,and computer science.This paper summarizes the ...
关键词:Pattern avoidance combinatorial enumeration combinatorial bijection 
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 
A Relationship between the Partial Bell Polynomials and Alternating Run Polynomials
《Open Journal of Discrete Mathematics》2023年第2期49-54,共6页Yanan Feng Zhe Wang 
In this note, we first derive an exponential generating function of the alternating run polynomials. We then deduce an explicit formula of the alternating run polynomials in terms of the partial Bell polynomials.
关键词:Alternating Run Polynomials Bell Polynomials PERMUTATIONS 
Permutations
《中学生数学》2023年第8期F0003-F0003,共1页
Hands-on Mini Lab Work with a partner.STEP 1 Write math,science,and language arts on the index cards.STEP 2 Choose one of the subjects as the first class of the day.Choose one of the remaining two subjects for the sec...
关键词:hoose class. CLASS 
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 
Null-free False Discovery Rate Control Using Decoy Permutations被引量:1
《Acta Mathematicae Applicatae Sinica》2022年第2期235-253,共19页Kun He Mengjie Li Yan Fu Fuzhou Gong Xiaoming Sun 
supported by the National Key R&D Program of China(No.2018YFB0704304);the National Natural Science Foundation of China(Nos.32070668,62002231,61832003,61433014);the K.C.Wong Education Foundation。
The traditional approaches to false discovery rate(FDR)control in multiple hypothesis testing are usually based on the null distribution of a test statistic.However,all types of null distributions,including the theore...
关键词:multiple testing false discovery rate null distribution-free p-value-free decoy permutations knockoff filter 
Inverse problems of the Erdos-Ko-Rado type theorems for families of vector spaces and permutations
《Science China Mathematics》2022年第5期1081-1108,共28页Xiangliang Kong Yuanxiao Xi Bingchen Qian Gennian Ge 
supported by National Natural Science Foundation of China (Grant No. 11971325);National Key Research and Development Program of China (Grant Nos. 2020YFA0712100 and 2018YFA0704703);Beijing Scholars Program
Ever since the famous Erd os-Ko-Rado theorem initiated the study of intersecting families of subsets,extremal problems regarding intersecting properties of families of various combinatorial objects have been extensive...
关键词:total intersection number vector spaces PERMUTATIONS 
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 
Efficient self-testing system for quantum computations based on permutations
《Chinese Physics B》2021年第4期61-73,共13页Shuquan Ma Changhua Zhu Min Nie Dongxiao Quan 
Project supported by the National Natural Science Foundation of China(Grant Nos.61372076,61971348,and 62001351);Foundation of Shaanxi Key Laboratory of Information Communication Network and Security(Grant No.ICNS201802);Natural Science Basic Research Program of Shaanxi,China(Grant No.2021JM-142);Key Research and Development Program of Shaanxi Province,China(Grant No.2019ZDLGY09-02)。
Verification in quantum computations is crucial since quantum systems are extremely vulnerable to the environment.However,verifying directly the output of a quantum computation is difficult since we know that efficien...
关键词:quantum computation VERIFICATION self-testing systems complexity theory 
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