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A Study of the 1+2 Partitioning Scheme of Fibrous Unitcell under Reduced-Order Homogenization Method with Analytical Influence Functions: 《Computer Modeling in Engineering & Sciences》2025年第3期2893-2924,共32页Shanqiao Huang Zifeng Yuan; funded by the National Key R&D Program of China(Grant No.2023YFA1008901);the National Natural Science Foundation of China(Grant Nos.11988102,12172009);“The Fundamental Research Funds for the Central Universities,Peking University”.; The multiscale computational method with asymptotic analysis and reduced-order homogenization(ROH)gives a practical numerical solution for engineering problems,especially composite materials.Under the ROH framework,a ...; 关键词：Multiscale reduced-order homogenization influence tensors unitcell fibrous composite mate

Embedding Tensors on 3-Hom-Lie Algebras: 《Journal of Mathematical Research with Applications》2024年第2期187-198,共12页Wen TENG Jiulin JIN Yu ZHANG; Supported by the Scientific Research Foundation for Science&Technology Innovation Talent Team of the Intelligent Computing and Monitoring of Guizhou Province(Grant No.QJJ[2023]063);the Science and Technology Program of Guizhou Province(Grant Nos.ZK[2023]025;QKHZC[2023]372;ZK[2022]031);the National Natural Science Foundation of China(Grant No.12161013);the Scientific Research Foundation of Guizhou University of Finance and Economics(Grant No.2022KYYB08);the Doctoral Research Start-Up Fund of Guiyang University(Grant No.GYU-KY-2024).; In this paper,we introduce the notion of embedding tensors on 3-Hom-Lie algebras and show that embedding tensors induce naturally 3-Hom-Leibniz algebras.Moreover,the cohomology theory of embedding tensors on 3-Hom-Lie...; 关键词：3-Hom-Lie algebra embedding tensor representation COHOMOLOGY DEFORMATION

On Polar Decomposition of Tensors with Einstein Product and a Novel Iterative Parametric Method: 《Numerical Mathematics(Theory,Methods and Applications)》2024年第1期69-92,共24页Raziyeh Erfanifar Masoud Hajarian Khosro Sayevand; funded by Iran National Science Foundation(INSF)under project No.4013447.; This study aims to investigate the polar decomposition of tensors with the Einstein product for theﬁrst time.The polar decomposition of tensors can be computed using the singular value decomposition of the tensors wit...; 关键词：Iterative methods Einstein product polar decomposition of a tensor polar factor order of convergence

Separable Symmetric Tensors and Separable Anti-symmetric Tensors: 《Communications on Applied Mathematics and Computation》2023年第4期1509-1523,共15页Changqing Xu Kaijie Xu; In this paper,we first initialize the S-product of tensors to unify the outer product,contractive product,and the inner product of tensors.Then,we introduce the separable symmetry tensors and separable anti-symmetry t...; 关键词：S-product Invertible tensor Separable symmetric tensor Separable anti-symmetric tensor

VTensor:Using Virtual Tensors to Build a Layout-Oblivious AI Programming Framework被引量：1: 《Journal of Computer Science & Technology》2023年第5期1074-1097,共24页俞峰赵家程崔慧敏冯晓兵薛京灵; supported by the National Key Research and Development Program of China under Grant No.2021zD0110101;the National Natural Science Foundation of China under Grant Nos.62090024,61872043,and 61802368;the Australian Research Council grant under Grant Nos.DP180104069 and DP210102409。; Tensors are a popular programming interface for developing artificial intelligence(AI)algorithms.Layout refers to the order of placing tensor data in the memory and will affect performance by affecting data locality;t...; 关键词：artificial intelligence(AI)programming layout-oblivious tensor processing

Midcourse correction of Earth-Moon distant retrograde orbit transfer trajectories based on high-order state transition tensors被引量：2: 《Astrodynamics》2023年第3期335-349,共15页Yongchen Yin Ming Wang Yu Shi Hao Zhang; This work was supported by the National Natural Science Foundation of China(Grant No.12003054);National Key R&D Program of China(Grant No.2022YFC2204700);Strategic Priority Program on Space Science of the Chinese Academy of Sciences(Grant No.XDA30010200).; Midcourse correction design is key to space transfers in the cislunar space.Autonomous guidance has garnered significant attention for its promise to decrease the dependence on ground control systems.This study addres...; 关键词：cislunar space transfer orbit midcourse correction state transition tensor(STT) Monte Carlo simulation

Novel entanglement compression for QKD protocols using isometric tensors被引量：1: 《Science China(Information Sciences)》2023年第8期144-145,共2页Hong LAI Josef PIEPRZYK Lei PAN; supported by Natural Science Foundation of Chongqing,China(Grant No.CSTB2022NSCQ-MSX0749);National Natural Science Foundation of China(Grant No.61702427)。; The problem of performing compression on a source of entangled states in quantum key distribution(QKD)protocols has become a hot research topic[1,2].Since quantum processors that are used to send quantum information b...; 关键词：QUANTUM PRIMITIVE ISOMETRIC

非奇异H-张量的新判定: 《Chinese Quarterly Journal of Mathematics》2023年第2期123-133,共11页柳亮王亚强; supported by the National Natural Science Foundations of China(Grant No.31600299);The Natural Science Foundation of Shaanxi province(Grant No.2020JM-622).; H-tensor plays an important role in identifying positive deﬁniteness of even order real symmetric tensors.In this paper,some deﬁnitions and theorems related to H-tensors are introducedﬁrstly.Secondly,some new criteria...; 关键词：H-tensors Generalized diagonally dominant M-tensors

On the Expression of Composite Natural Numbers as Tensorial Products of Prime Natural Powers Vectors: 《Journal of Applied Mathematics and Physics》2023年第6期1728-1736,共9页Debraj Nath Ramon Carbó-Dorca; This study describes how one can construct sets of composite natural numbers as tensorial products of the vectors created with the natural powers of prime numbers.; 关键词：Composite Natural Numbers Prime Numbers Prime Numbers Powers Vectors of Prime Numbers Powers Tensors Holding the Composite Natural Numbers

Second Approximation of the Generalized Planetary Equation Based upon Golden Metric Tensors: 《Journal of High Energy Physics, Gravitation and Cosmology》2023年第1期7-26,共20页Nura Yakubu Hayatu Abbba Ibrahim Musa Hashimu Umar Bappah Alkali; In this paper, we consider the Post Einstein Planetary equation of motion. We succeeded in offering a solution using second approximation method, in which we obtained eight exact mathematical solutions that rebel amaz...; 关键词：Golden Matric Tensors Einstein’s Planetary Equation

TENSORS