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CONJECTURE: 作品数：489被引量：295H指数：8; 导出分析报告; 相关领域：理学更多>>; 相关作者：韩国平刘建熙邱青刘瑞元李逸更多>>; 相关机构：华南师范大学大连理工大学浙江大学山东大学更多>>; 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北京市自然科学基金国家教育部博士点基金更多>>

SIMONS-TYPE INTEGRAL AND HEIGHT FUNCTION IN SPHERES: 《数学杂志》2025年第2期122-130,共9页GONG Yi-fan XING Jin-xiong; This article delves Chern's conjecture for hypersurfaces with constant second fundamental form squared length S in the spherical space.At present,determining whether the third gap point of S is 2n remains unsolved yet...; 关键词：Chern's conjecture Height function Simons-Type integral

Geometric constraints via Page curves:insights from island rule and quantum focusing conjecture: 《Chinese Physics C》2025年第4期259-272,共14页Ming-Hui Yu Xian-Hui Ge; Project partially supported by the National Science Foundation of China(12275166,12311540141)。; explore the inverse problem tied to the Page curve phenomenon and island paradigm,we investigate the geometric conditions underpinning black hole evaporation,where information is preserved and islands manifest,giving ...; 关键词：black holes black hole information loss page curve

The SYZ Conjecture through Computational Equivalence: 《Advances in Pure Mathematics》2025年第2期145-181,共37页Logan Nye; We present a proof of the Strominger-Yau-Zaslow (SYZ) conjecture by demonstrating that mirror symmetry fundamentally represents an equivalence of computational structures between Calabi-Yau manifolds. Through developm...; 关键词：Mirror Symmetry Calabi-Yau Manifolds SYZ Conjecture Quantum Complexity Special Lagrangian Fibration

Weak Form Mitter Conjecture on Nonmaximal Rank Estimation Algebra:State Dimension 4 and Rank 3: 《Journal of Systems Science & Complexity》2025年第1期27-78,共52页JIAO Xiaopei YAU Stephen Shing-Toung; supported by the Tsinghua University Education Foundation fund under Grant No.042202008.; Ever since Brockett and Clark(1980),Brockett(1981)and Mitter(1980)introduced the estimation algebra method,it becomes a powerful tool to classify finite-dimensional filtering systems.In this paper,the authors investig...; 关键词：Estimation algebra finite dimensional filter Mitter conjecture state estimation

A survey on the Weinstein conjecture: 《Frontiers of Mathematics in China》2025年第1期1-15,共15页Yanqiao DING; The Weinstein conjecture predicts that there is at least one periodic orbit for every compact contact hypersurface in a symplectic manifold,which turns out an important research direction in symplectic topology and co...; 关键词：Weinstein conjecture periodic orbit contact manifold J-holomorphic curves Reeb flow

The Coxeter Trisection and the Hadwiger Conjecture in Multidimensional Spaces: 《Journal of Applied Mathematics and Physics》2024年第12期4301-4321,共21页István Lénárt; In this article, I consider the right triangle as the simplex in the Euclidean plane, and extend this definition to higher dimensions. The n-dimensional simplex has one hypotenuse and (n−1)legs (catheti). The (n−1)leg...; 关键词：Generalized Pythagoras Theorem Description of a Pythagorean Simplex Pythagorean Unit Simplex Coxeter Partition of a Simplex in -Dimensional Space Relation to the Hadwiger Conjecture

Escobar’s Conjecture on a Sharp Lower Bound for the First Nonzero Steklov Eigenvalue: 《Peking Mathematical Journal》2024年第2期759-778,共20页Chao Xia Changwei Xiong; supported by NSFC(Grant nos.11871406,12271449);supported by Australian Laureate Fellowship FL150100126 of the Australian Research Council;National Key R and D Program of China 2021YFA1001800 and NSFC(Grant no.12171334).; It was conjectured by Escobar(J Funct Anal 165:101–116,1999)that for an ndimensional(n≥3)smooth compact Riemannian manifold with boundary,which has nonnegative Ricci curvature and boundary principal curvatures bound...; 关键词：Stekloveigenvalue Laplacian eigenvalue Sharp bound Nonnegative sectional curvature

Uniform isochronous center of a class of higher degree polynomial differential systems: 《Applied Mathematics(A Journal of Chinese Universities)》2024年第4期614-627,共14页ZHOU Zheng-xin LU Fei-fei; Supported by the National Natural Science Foundation of China(62173292,12171418).; In this paper,we give the necessary and sufficient conditions for a class of higher degree polynomial systems to have a uniform isochronous center.At the same time,we prove that for this system the composition conject...; 关键词：composition conjecture center condition uniform isochronous center

Presentation of the Berry-Tabor conjecture in Levy plates: 《Chinese Physics B》2024年第10期240-247,共8页Chao Li Guo-Lin Hou; supported by the National Natural Science Foundation of China(Grant Nos.12261064 and 11861048);the Natural Science Foundation of Inner Mongolia,China(Grant No.2021MS01004);the Innovation Program for Graduate Education of Inner Mongolia University(Grant No.11200-5223737).; The Berry-Tabor(BT)conjecture is a famous statistical inference in quantum chaos,which not only establishes the spectral fluctuations of quantum systems whose classical counterparts are integrable but can also be used...; 关键词：Berry-Tabor conjecture frequency spectra Hamiltonian approach Lévy plates

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

CONJECTURE