ORTHOGONALITY

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Orthogonality conditions and analytical response solutions of damped gyroscopic double-beam system:an example of pipe-in-pipe system
《Applied Mathematics and Mechanics(English Edition)》2025年第5期927-946,共20页Jinming FAN Zhongbiao PU Jie YANG Xueping CHANG Yinghui LI 
Project supported by the National Natural Science Foundation of China (No. 12272323)。
The double-beam system is a crucial foundational structure in industry,with extensive application contexts and significant research value.The double-beam system with damping and gyroscopic effects is termed as the dam...
关键词：fluid-conveying pipe transverse vibration pipe-in-pipe(PIP)system gyroscopic double-beam system complex modal superposition method(MSM) analytical solution 
MINIMAL WIDTHSS AND ORTHOGONALITY TYPES
《Acta Mathematica Scientia》2025年第1期27-39,共13页Chan HE Horst MARTINI Senlin WU 
supported by the National Natural Science Foundation of China(12071444,12201581);the Fundamental Research Program of Shanxi Province of China(202103021223191).
The minimal widths of three bounded subsets of the unit sphere associated to a unit vector in a normed linear space are studied,and three related geometric constants are introduced.New characterizations of inner produ...
关键词：Birkhoff orthogonality isosceles orthogonality minimal width Singer orthogonality strong e-symmetry of Birkhoff orthogonality width function 
Hybrid-Layer Data Storage with High-Orthogonality Random Meta-Channels
《Engineering》2025年第2期79-87,共9页Dong Zhao Hongkun Lian Xueliang Kang Kun Huang 
the National Key Research and Development Program of China(2022YFB3607300);the National Natural Science Foundation of China(62322512 and 12134013);the Chinese Acad-emy of Sciences Project for Young Scientists in Basic Research(YSBR-049);support from the University of Science and Technology of China’s Center for Micro and Nanoscale Research and Fabrication;supported by the China Postdoctoral Science Foundation(2023M743364);supercomputing system in Hefei Advanced Computing Center and the Supercomputing Center of University of Science and Technology of China.
Optical data storage(ODS)is a low-cost and high-durability counterpart of traditional electronic or mag-netic storage.As a means of enhancing ODS capacity,the multiple recording layer(MRL)method is more promising than...
关键词：Optical data storage Metasurfaces High-orthogonality meta-channels Physical layer Virtual layer 
SOLVING OPTIMIZATION PROBLEMS OVER THE STIEFEL MANIFOLD BY SMOOTH EXACT PENALTY FUNCTIONS
《Journal of Computational Mathematics》2024年第5期1246-1276,共31页Nachuan Xiao Xin Liu 
the National Natural Science Foundation of China(Grant Nos.12125108,11971466,12288201,12021001,11991021);the Key Research Program of Frontier Sciences,Chinese Academy of Sciences(Grant No.ZDBS-LY-7022).
In this paper,we present a novel penalty model called ExPen for optimization over the Stiefel manifold.Different from existing penalty functions for orthogonality constraints,ExPen adopts a smooth penalty function wit...
关键词：Orthogonality constraint Stiefel manifold Penalty function 
A New Class of Strong Orthogonal Arrays of Strength Three
《Journal of Systems Science & Complexity》2024年第3期1233-1250,共18页WANG Chunyan LIU Min-Qian YANG Jinyu 
supported by the National Natural Science Foundation of China under Grant Nos. 12131001and 12226343;the MOE Project of Key Research Institute of Humanities and Social Sciences under Grant No.22JJD110001;the National Ten Thousand Talents Program of China。
Strong orthogonal arrays(SOAs) were recently introduced and studied as a class of spacefilling designs for computer experiments. To surely realize better space-filling properties, SOAs of strength three or higher are ...
关键词：Computer experiment ORTHOGONALITY space-filling property strong orthogonal array 
New Superconvergent Structures with Optional Superconvergent Points for the Finite Volume Element Method
《Communications in Computational Physics》2023年第5期1332-1356,共25页XiangWang Yuqing Zhang Zhimin Zhang 
This work is supported in part by the National Natural Science Foundation of China under grants 11701211,11871092,12131005;the China Postdoctoral Science Foundation under grant 2021M690437。
New superconvergent structures are proposed and analyzed for the finite volume element(FVE)method over tensorial meshes in general dimension d(for d≥2);we call these orthogonal superconvergent structures.In this fram...
关键词：SUPERCONVERGENCE finite volume orthogonality condition tensorial mesh rectangular mesh 
A new rotation method for constructing orthogonal Latin hypercube designs
《Science China Mathematics》2023年第4期839-854,共16页Chong Sheng Jinyu Yang Min-Qian Liu 
supported by National Natural Science Foundation of China(Grant Nos.12131001 and 11871288);National Ten Thousand Talents Program and the 111 Project B20016。
Latin hypercube designs(LHDs)are very popular in designing computer experiments.In addition,orthogonality is a desirable property for LHDs,as it allows the estimates of the main effects in linear models to be uncorrel...
关键词：computer experiment factorial design Latin hypercube design maximin distance ORTHOGONALITY 
Convergent and Orthogonality Preserving Schemes for Approximating the Kohn-Sham Orbitals
《Numerical Mathematics(Theory,Methods and Applications)》2023年第1期1-25,共25页Xiaoying Dai Liwei Zhang Aihui Zhou 
This work was supported by the National Key R&D Program of China under grants 2019YFA0709600,2019YFA0709601;the National Natural Science Foundation of China under grant 12021001.
To obtain convergent numerical approximations without using any orthogonalization operations is of great importance in electronic structure calculations.In this paper,we propose and analyze a class of iteration scheme...
关键词：Gradient flow based model density functional theory orthogonality preserving scheme convergence temporal discretization 
On Ramanujan Sums over a Dedekind Domain with Finite Norm Property
《Acta Mathematica Sinica,English Series》2023年第1期149-160,共12页Zhi Yong ZHENG Man CHEN Zi Wei HONG 
Supported by the National Research and Development Program of China(Grant No.2018YFB1107402)。
In this paper,we consider Ramanujan’s sums over arbitrary Dedekind domain with finite norm property.We define the Ramanujan’s sumsη(a,A)andη(B,A),where a is an arbitrary element in a Dedekind domain,B is an ideal ...
关键词：Dedekind domains Ramanujan Sums primitive additive character reciprocity formula orthogonality property 
Improving the Efficiency and Orthogonality of Genetic Code Expansion
《BioDesign Research》2022年第1期248-260,共13页Xian Fu Yijian Huang Yue Shen 
the National Key Research and Development Program of China(No.2018YFA0900100);National Natural Science Foundation of China(No.31901029 to X.F.and No.31800078 to Y.S.);Natural Science Foundation of Guangdong Province,China(No.2021A1515010995 to X.F.);Guangdong Provincial Key Laboratory of Genome Read and Write(No.2017B030301011).
The site-specific incorporation of the noncanonical amino acid(ncAA)into proteins via genetic code expansion(GCE)has enabled the development of new and powerful ways to learn,regulate,and evolve biological functions i...
关键词：TRANSLATION HAS BASE 
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