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FUNDAMENTAL: 作品数：576被引量：992H指数：12; 导出分析报告; 相关领域：理学更多>>; 相关作者：任全伟冯巧玲冯兴平李明政李艺更多>>; 相关机构：国家自然科学基金委员会中山大学首都师范大学中国科学院更多>>; 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中国博士后科学基金国家高技术研究发展计划更多>>

The arithmetic fundamental lemma: An update: 《Science China Mathematics》2019年第11期2409-2422,共14页Wei Zhang; supported by the National Science Foundation of USA (Grant No. DMS #1901642); This is an expository article on the recent progress on the arithmetic fundamental lemma conjecture,based largely on Zhang(2019). Beside stating the local conjecture, we will present three global intersection problems...; 关键词：ARITHMETIC FUNDAMENTAL LEMMA ARITHMETIC Gan-Gross-Prasad CONJECTURE Gross-Zagier FORMULA relative trace FORMULA

A forcing relation of braids from Nielsen fixed point theory: 《Science China Mathematics》2019年第9期1799-1806,共8页Jiaoyun Wang Xuezhi Zhao; supported by National Natural Science Foundation of China(Grant No.11326077); In this paper, we focus our attention on the connections between the braid group and Nielsen fixed point theory. A new forcing relation between braids is introduced, and we show that it can be fulfilled by using Niels...; 关键词：BRAID GROUP fixed point DISK FUNDAMENTAL GROUP

Fundamental cycles and graph embeddings被引量：1: 《Science China Mathematics》2009年第9期1920-1926,共7页REN Han ZHAO HongTao LI HaoLing; supported by National Natural Science Foundation of China (Grant Nos.10271048,10671073);Science and Technology Commission of Shanghai Municipality (Grant No.07XD14011);Shanghai Leading Discipline Project (Project No.B407); In this paper, we investigate fundamental cycles in a graph G and their relations with graph embeddings. We show that a graph G may be embedded in an orientable surface with genus at least g if and only if for any spa...; 关键词：fundamental cycle maximum genus upper-embedded 05C10 05C70

On fundamental groups related to the Hirzebruch surface F_1: 《Science China Mathematics》2008年第4期728-745,共18页Michael FRIEDMAN Mina TEICHER; This work was supported by the Emmy Noether Institute Fellowship(by the Minerva Foundation of Germany);Israel Science Foundation(Grant No.8008/02-3); Given a projective surface and a generic projection to the plane,the braid monodromy factorization(and thus,the braid monodromy type)of the complement of its branch curve is one of the most important topological invar...; 关键词：Hirzebruch SURFACES DEGENERATION generic PROJECTION branch curve BRAID MONODROMY FUNDAMENTAL group classification of SURFACES

Fundamental solutions for transversely isotropic piezoelectric media: 《Science China Mathematics》1996年第7期766-775,共10页丁皓江梁剑陈波; National Natural Science Foundation of China.; A general solution for the.equilibrium equations of pieajelectric media under body forces is obtained. With regard to the transversely isotropic piezoelectric material, closed forms for the displacements and electric ...; 关键词：TRANSVERSE ISOTROPY PIEZOELECTRIC MATERIAL FUNDAMENTAL solution.

FUNDAMENTAL SOLUTION OF BI-MATERIAL ELASTIC SPACE: 《Science China Mathematics》1991年第3期309-315,共7页黄克服王敏中; In this paper, the fundamental solution of the bi-material elastic space is studied. Usingthe Papkovich-Neuber solution and the Kelvin state of the 3-dimensional elasticity, thedisplacement field of the bi-material el...; 关键词：FUNDAMENTAL solution HARMONIC FUNCTION composite material linear elasticity.

PRECISE FUNDAMENTAL INEQUALITIES AND SUM OF DEFICIENCIES被引量：15: 《Science China Mathematics》1991年第2期157-165,共9页杨乐; Project partially supported by the National Natural Science Foundation of China.; In the present paper, some precise fundamental inequalities are introduced. Applying them,we obtain the precise estimate for the sum of deficiencies. Let f(z) be transcendental mero-morphic in the finite plane and k b...; 关键词：DEFICIENCY PRECISE Hayman INEQUALITY fundamental.

COMPREHENSIVE SPECTROSCOPIC STUDIES OF CONDUCTING POLYMER P3MT: 《Science China Mathematics》1990年第11期1370-1377,共8页袁仁宽黄振春郑有炓沈学础唐文国 D. PERAMURAGE M. TOMKIEWICZ M. D. S. GINLEY; The conducting polymer poly (3-methyl thiophene)—P3MT has been comprehensively investigated by electroreflectance (ER), pbotoreflectance (PR), photoluminescence (PL) and: absorption spectroscopics, and the experiment...; 关键词：CONDUCTING polymer 1-dimensional system SPECTROSCOPIC FUNDAMENTAL excitation.

TRANSVERSE MODES IN PHASE-CONJUGATION RESONATORS (PCR) WITH FINITE APERTURES (Ⅱ)——FUNDAMENTAL PROPERTIES OF THE TRANSVERSE MODES IN PCR: 《Science China Mathematics》1990年第9期1141-1152,共12页李先枢徐家进高燕球; Based on the first part of this paper (Science in China, 33(1990), 982—995), further research has been done on quasi-equivalence relation and asymmetrical character of axisymmetrical phase-conjugatlon resonator(PCR)....; 关键词：PHASE-CONJUGATION resonator TRANSVERSE mode quasi-equivalence relation matrix theory on propagation of a scalat light wave.

EXPONENTIAL STABILITY FOR AUTONOMOUS LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE RETARDATIONS: 《Science China Mathematics》1989年第5期550-563,共14页黄发伦; Project supported by the National Natural Science Foundation of China.; <正> In this paper, a nontrivial counter example to Corduneanu and Lakshmikantham’s prob-lem is given on exponential stability of the fundamental matrix for a class of the mostfundamental autonomous linear functional...; 关键词：FUNDAMENTAL matrix EXPONENTIAL stability functional differential equation.

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