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Momentum as Translations at Conformal Infinity: 《Journal of Applied Mathematics and Physics》2024年第4期1522-1540,共19页Richard James Petti Jacob Luke Graham; Although General Relativity is the classic example of a physical theory based on differential geometry, the momentum tensor is the only part of the field equation that is not derived from or interpreted with different...; 关键词：Projective Symmetry Conformal Symmetry MOMENTUM General Relativity Einstein-Cartan Mach’s Principle

GEOMETRY ON THE WASSERSTEIN SPACE OVER A COMPACT RIEMANNIAN MANIFOLD: 《Acta Mathematica Scientia》2021年第6期1959-1984,共26页Hao DING Shizan FANG; The first author is supported by China Scholarship Council.; We revisit the intrinsic differential geometry of the Wasserstein space over a Riemannian manifold,due to a series of papers by Otto,Otto-Villani,Lott,Ambrosio-Gigli-Savaré,etc.; 关键词：constant vector fields measures having divergence Levi-Civita connection parallel translations Mckean-Vlasov equations

Preliminary Research on the Mathematical Methods and Order of Problems in the“Fungcheng”Chapter of Yang Hui's Mathematical Methods(1261 CE)被引量：2: 《Chinese Annals of History of Science and Technology》2020年第1期1-62,共62页Zhou Xiaohan; research projects“Elements of Continuity between Mathematical Writings from the Thirteenth to the Fifteenth Century in China(十三至十五世纪中国数学著作连续性Y950051)”;“Transmission of the Knowledge of Science and Technology along the Silk Road(丝绸之路科技知识传播Y921011012,Director:Guo Yuanyuan郭园园)”of the Institute for the History of Natural Sciences,Chinese Academy of Sciences.The paper has been copyedited by John Moffett。; Yang Hui was one of the most important authors of mathematical works during the thirteenth century.Mathematical Methods Explaining in Detail The Nine Chapters(Xiangjie jiuzhang suanfa詳解九章算法,1261 CE)is the earlie...; 关键词：Mathematical Methods Explaining in Detail The Nine Chapters Reclassifications of Mathematical Methods Explaining in Detail The Nine Chapters The Nine Chapters Yang Hui the fangcheng method the method of the positive and the negative translations of ancient mathematical writing

Valuation Characteristics of Linear Transformations on R^2: 《Wuhan University Journal of Natural Sciences》2019年第6期485-492,共8页WANG Zhenxin GUO Qi; Supported by the National Natural Science Foundation of China(11671293,11271282);partially by the Research Innovation Fund of Suzhou University of Science and Technology(SKCX17 031); In this paper,we study the Minkowski valuations on the set of 1 or 2 dimensional convex bodies compatible with a linear transformation and translations in some sense.We first introduce a kind of compatibility that all...; 关键词：MINKOWSKI VALUATION linear TRANSLATION TRANSLATIONS CONVEX body

Instantaneous Spreading of the g-Qubit Fields被引量：1: 《Journal of Applied Mathematics and Physics》2019年第3期591-602,共12页Alexander Soiguine; The Geometric Algebra formalism opens the door to developing a theory deeper than conventional quantum mechanics. Generalizations, stemming from implementation of complex numbers as geometrically feasible objects in t...; 关键词：Quantum STATES CLIFFORD TRANSLATIONS Geometric ALGEBRA

RECURRENCE FOR WEIGHTED TRANSLATIONS ON GROUPS: 《Acta Mathematica Scientia》2016年第2期443-452,共10页陈中川; supported by MOST of Taiwan(MOST104-2115-M-142-002-); Let G be a locally compact group, and let 1≤p〈∞. We characterize topolog- ically multiply recurrent weighted translation operators on LP（G） in terms of the Haax mea- sure and the weight function. We also show tha...; 关键词：Topologically multiple recurrence RECURRENCE HYPERCYCLICITY locally compactgroup L^P-space

REPRESENTATION OF GENERALIZED TRANSLATIONS OF THE PRODUCT OF TWO FUNCTIONS ON SIGNED HYPERGROUPS ON THE REAL LINE: 《Analysis in Theory and Applications》2012年第3期201-223,共23页Njib Ben Salem Nabila Hamda; In this paper, we consider the generalized translations associated with the Dunkl and the Jacobi-Dunkl differential-difference operators on the real line which provide the structure of signed hrpergroups on R. Especia...; 关键词：Bessel function Dunkl operator generalized translation signed hypergroup Jacobi-Dunkl operator Jacobi function

Strict Topology over the Space of Measures with Continuous Translations on a Locally Compact Foundation Semigroup: 《Acta Mathematica Sinica,English Series》2011年第5期933-942,共10页S. MAGHSOUDI R. NASR-ISFAHANI; Let δ be a locally compact semigroup, w be a weight function on δ, and Ma （δ, ω） be the weighted semigroup algebra of δ. Let L0^∞（δ; Ma（δ, ω）） be the C＊-algebra of all Ma（δ, w）-measurable functions ...; 关键词：Foundation semigroup locally convex space weighted semigroup algebra strict topology

Intersections of Homogeneous Cantor Sets with Their Translations: 《Acta Mathematica Sinica,English Series》2008年第8期1313-1318,共6页Mei Feng DAI; the National Science Foundation of China (10671180);Jiangsu University 05JDG041; We pursue the study on homogeneous Cantor sets with their translations. We get the fractal structure of intersection I（t）, and find that the Hausdorff measure of these sets forms a discrete spectrum whose non-zero v...; 关键词：homogeneous Cantor set INTERSECTION fractal structure discrete spectrum

On the Degree of Approximation by Spherical Translations: 《Acta Mathematicae Applicatae Sinica》2006年第4期671-680,共10页Bao-huai Sheng; Supported by the National Natural Science Foundation of China(No.10471130,10371024);the Natural Science Fund of Zhejiang Province(No:Y604003); The degree of approximation of spherical functions by the translations formed by a function defined on the unit sphere is dealt with. A kind of Jackson inequality is established under the condition that none of the L^...; 关键词：Spherical harmonics translation class degree of approximation

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