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PARTITIONS: 作品数：58被引量：51H指数：3; 导出分析报告; 相关领域：生物学更多>>; 相关作者：曹会中颜娟汪寿阳顾基发许宝刚更多>>; 相关机构：山东大学中国科学院数学与系统科学研究院南京师范大学南开大学更多>>; 相关期刊：《Acta Mathematicae Applicatae Sinica》《Chinese Journal of Acoustics》《Communications in Computational Physics》《Acta Mathematica Scientia》更多>>; 相关基金：国家自然科学基金国家高技术研究发展计划国家重点基础研究发展计划瑞士科学基金更多>>

INEQUALITIES FOR THE CUBIC PARTITIONS AND CUBIC PARTITION PAIRS: 《Acta Mathematica Scientia》2025年第2期737-754,共18页Chong LI Yi PENG Helen W.J.ZHANG; supported by the National Natural Science Foundation of China(12371327);the Natural Science Foundation of Chongqing(cstc2021jcyj-msxmX0107).; In this paper,we examine the functions a(n)and b(n),which respectively represent the number of cubic partitions and cubic partition pairs.Our work leads to the derivation of asymptotic formulas for both a(n)and b(n).A...; 关键词：asymptotic formula LOG-CONCAVITY third-order Turan inequalities cubic partition cubic partition pair

Proofs of Some Conjectures of Andrews and Paule on 2-Elongated Plane Partitions: 《Journal of Mathematical Research with Applications》2024年第6期735-740,共6页Olivia X.M.YAO; Supported by the National Natural Science Foundation of China(Grant No.12371334);the Natural Science Foundation of Jiangsu Province(Grant No.BK20221383)。; Recently,Andrews and Paule established the generating functions for the k-elongated plane partition function d_(k)(n)and proved a large number of results on d_(k)(n)with k=2,3.In particular,they posed some conjectures...; 关键词：PARTITIONS CONGRUENCES 2-elongated plane partitions theta function identities

The Goldbach Conjecture Is True: 《Open Journal of Discrete Mathematics》2024年第3期29-41,共13页Jie Hou; Let 2m>2, m∈ℤ, be the given even number of the Strong Goldbach Conjecture Problem. Then, m can be called the median of the problem. So, all Goldbach partitions (p,q)exist a relationship, p=m−dand q=m+d, where p≤qand...; 关键词：MEDIAN The Feasible Goldbach Partitions The Optimal Goldbach Partitions CONGRUENCES Effacement

A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes: 《Communications in Computational Physics》2023年第6期116-131,共16页Yanlong Zhang; supported by the National Natural Science Foundation of China(Nos.11871009,12271055);the Foundation of LCP and the Foundation of CAEP(CX20210044).; Based on the idea of serendipity element,we construct and analyze the first quadratic serendipity finite volume element method for arbitrary convex polygonalmeshes in this article.The explicit construction of quadrati...; 关键词：Quadratic serendipity polygonal finite volume element method arbitrary convex polygonal meshes Wachspress coordinate unified dual partitions optimal H1 error estimate

Apple grading method based on neural network with ordered partitions and evidential ensemble learning被引量：2: 《CAAI Transactions on Intelligence Technology》2022年第4期561-569,共9页Liyao Ma Peng Wei Xinhua Qu Shuhui Bi Yuan Zhou Tao Shen; Natural Science Foundation of Shandong Province,Grant/Award Numbers:ZR2021MF074,ZR2020KF027,ZR2020MF067;the National Key R&D Program of China,Grant/Award Number:2018AAA0101703。; In order to improve the performance of the automatic apple grading and sorting system,in this paper,an ensemble model of ordinal classification based on neural network with ordered partitions and Dempster–Shafer theo...; 关键词：apple grading Demspter-Shafer theory ensemble learning ordinal classification

A Virtual Character and Nonzero Kronecker Coefficients for Self-conjugate Partitions: 《Algebra Colloquium》2022年第2期321-340,共20页Xin Li; supported by National Natural Science Foundation of China(Grant No.11801506 and Grant No.11626211).; We generalize Regev's results on a virtual character of the symmetric group S_(n),that is,an integer-combination of some irreducible characters.Suppose that λ and μ are integer partitions of n.For the associated irr...; 关键词：symmetric group character Kronecker coefficient NEIGHBORHOOD hooklength diagram Schur function

A new strategy for fabrication of unique heterostructured titanium laminates and visually tracking their synchronous evolution of strain partitions versus microstructure被引量：2: 《Journal of Materials Science & Technology》2022年第12期70-81,共12页Hao Ding Xiping Cui Zhiqi Wang Tao Zhao Yuchen Wang Yuanyuan Zhang Hongtao Chen Lujun Huang Lin Geng Junfeng Chen; financially supported by the National Nature Science Foundation of China(Grant Nos.51771064,51971079,and 51501040)。; Heterostructured(HS)material with extraordinary mechanical properties has been regarded as one of the most promising structural materials.Here,we reported a new strategy for preparing heterostructured pure titanium la...; 关键词：Gradient structure Heterogeneous lamella structure Digital image correlation Strain partition

Can we migrate COVID-19 spreading risk?: 《Frontiers of Environmental Science & Engineering》2021年第3期3-6,共4页Qingyan Chen; It is well recognized that Severe Acute Respiratory Syndrome Coronavirus 2(SARS-CoV-2)virus could be spread through touch and large droplets.However,we may have under-estimated the disease transmission by small drople...; 关键词：Airborne transmission Ventilation Masks PARTITIONS

Convective/Large-scale Rainfall Partitions of Tropical Heavy Precipitation in CMIP6 Atmospheric Models被引量：2: 《Advances in Atmospheric Sciences》2021年第6期1020-1027,共8页Jing YANG Sicheng HE Qing BAO; funding from the National Natural Science Foundation of China(Grant 42022034,91737306,41675100);National Key Research and development Program of China(Grant No.2017YFA0604004)。; Convective/large-scale(C/L)precipitation partitions are crucial for achieving realistic rainfall modeling and are classified in 16 phase 6 of the Coupled Model Intercomparison Project(CMIP6)atmospheric models.Only 4 m...; 关键词：CMIP6 heavy precipitation convective precipitation moisture vertical distribution

On the polynomiality and asymptotics of moments of sizes for random(n,dn ± 1)-core partitions with distinct parts: 《Science China Mathematics》2021年第4期869-886,共18页Huan Xiong Wenston J.T.Zang; supported by Swiss National Science Foundation(Grant No.P2ZHP2171879)。; Amdeberhan’s conjectures on the enumeration,the average size,and the largest size of(n,n+1)-core partitions with distinct parts have motivated many research on this topic.Recently,Straub(2016)and Nath and Sellers(201...; 关键词：PARTITION hook length core partition average size distinct part

PARTITIONS