SYMMETRIZATION

作品数：17被引量：21H指数：2
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相关领域：理学自动化与计算机技术更多>>
相关作者：雷晓燕巫翔更多>>
相关机构：北京大学中国科学技术大学华东交通大学更多>>
相关期刊：《Chinese Physics Letters》《Chinese Annals of Mathematics,Series B》《Science Bulletin》《Frontiers of physics》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更多>>
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Symmetrization of quasi-regular patterns with periodic tilting of regular polygons被引量：1
《Computational Visual Media》2024年第3期559-576,共18页Zhengzheng Yin Yao Jin Zhijian Fang Yun Zhang Huaxiong Zhang Jiu Zhou Lili He 
supported by the Key R&D Programs of Zhejiang Province(Nos.2023C01224 and 2022C01220);the National Natural Science Foundation of China(No.61702458);Yun Zhang was partially supported by Zhejiang Province Public Welfare Technology Application Research(No.LGG22F020009);Key Lab of Film and TV Media Technology of Zhejiang Province(No.2020E10015).
Computer-generated aesthetic patterns arewidely used as design materials in various fields. Themost common methods use fractals or dynamicalsystems as basic tools to create various patterns. Toenhance aesthetics and c...
关键词：quasi-regular patterns(QRP) k-uniform tilings invariant mappings symmetry aesthetic patterns 
Quantum symmetrization transition in superconducting sulfur hydride from quantum Monte Carlo and path integral molecular dynamics
《npj Computational Materials》2024年第1期2657-2668,共12页Romain Taureau Marco Cherubini Tommaso Morresi Michele Casula 
funding from the European Union’s Horizon 2020 Research and Innovation program under Grant Agreement No.952165.
We study the structural phase transition,originally associated with the highest superconducting critical temperature T_(c) measured in high-pressure sulfur hydride.A quantitative description of its pressure dependence...
关键词：QUANTUM HYDRIDE SULFUR 
Affine Pólya-Szegö inequality on the Steiner rearrangement in any codimension
《Science China Mathematics》2022年第3期517-538,共22页Youjiang Lin 
supported by National Natural Science Foundation of China(Grant No.11971080);the Basic and Advanced Research Project of Chongqing,Chongqing Science and Technology Commission(Grant Nos.cstc2015jcyj A00009 and cstc2018jcyj AX0790);Scientific and Technological Research Program of Chongqing Municipal Education Commission(Grant No.KJ1500628)。
The affine Pólya-Szegö inequality on the Steiner rearrangement in any codimension is proved.We not only define the k-Orlicz-Sobolev balls on Sobolev functions and prove the corresponding affine Pólya-Szegö inequalit...
关键词：Pólya-Szegöinequality Steiner symmetrization Schwarz spherical symmetrization affine isoperimetric inequality 
The role of water in Earth’s mantle被引量：11
《National Science Review》2020年第1期224-232,共9页Eiji Ohtani 
supported by KAKENHI from JSPS(15H05748)to E.O.;performed under the contracts of the SPring-8(2017B1514,2018A1425,2018A1447 and2018B1326)
Geophysical observations suggest that the transition zone is wet locally.Continental and oceanic sediment components together with the basaltic and peridotitic components might be transported and accumulated in the tr...
关键词：WATER HYDROUS phase subducting SLAB transition zone lower MANTLE HYDROGEN-BOND SYMMETRIZATION core–mantle boundary 
Improved global algorithms for maximal eigenpair被引量：5
《Frontiers of Mathematics in China》2019年第6期1077-1116,共40页Mu-Fa CHEN Yue-Shuang 
This work was supported in part by the National Natural Science Foundation of China(Grant No.11771046);the Project from the Ministry of Education in China,and the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.
This paper is a continuation of our previous paper[Front.Math.China,2017,12(5):10231043]where global algorithms for computing the maximal cigcnpair were introduced in a rather general setup.The efficiency of the globa...
关键词：Maximal eigenpair global algorithm power iteration shifted inverse iteration quasi-symmetrization 
Rearrangements in Carnot Groups
《Acta Mathematica Sinica,English Series》2019年第7期1115-1127,共13页Juan J. MANFREDI Virginia N. VERA DE SERIO 
supported in part by NSF(Grant No.DMS-9970687);SECTyP-UNCuyo,Argentina(Res.3853/16-R)
In this paper we extend the notion of rearrangement of nonnegative functions to the setting of Carnot groups. We define rearrangement with respect to a given family of anisotropic balls Br , or equivalently with respe...
关键词：SYMMETRIZATION REARRANGEMENTS Carnot GROUPS 
Subsets of Euclidean Space with Nearly Maximal Gowers Norms
《Acta Mathematica Sinica,English Series》2019年第6期771-782,共12页Michael CHRIST 
Research supported in part by NSF(Grant DMS-1363324)
A set E ? R^d whose indicator function 1_E has maximal Gowers norm, among all sets of equal measure, is an ellipsoid up to Lebesgue null sets. If 1_E has nearly maximal Gowers norm then E nearly coincides with some el...
关键词：SYMMETRIZATION Gowers norms maximizers 
Pressure-induced superconducting ternary hydride H3SXe： A theoretical investigation
《Frontiers of physics》2018年第5期45-53,共9页Da Li Yah Liu Fu-Bo Tian Shu-Li Wei Zhao Liu De-Fang Duan Bing-Bing Liu Tian Cui 
This work was supported by the National Natural Science Foundation of China （Grant Nos. 11404134, 91745203, 51572108, 11634004, 11574109, and 11674122）, Programfor Changjiang Scholars and Innovative Research Team in Uni- versity （No. IRT 15R23）, National Fund for Fostering Talents of Basic Science （No.J1103202）, .lilin Provincial Science and Tech- nology Development Project of China （Grant Nos. 20160520016JH and 20170520116JH） and China Postdoctoral Science Foundation （Grant Nos. 2014M561279 and 2016T90246）. Parts of calcula- tions were performed in the High Performance Computing Center （HPCC） of Jilin University.
In general, heavy elements contribute only to the superconductivity of hydrides. However, it acoustic phonon modes, which are less important for was revealed that the heavier elements could enhance the phonon-mediated...
关键词：ternary hydrides noble gas elements chemical precompression hydrogen-bondsymmetrization 
Hydrogen-Bond Symmetrization of δ-AlOOH被引量：1
《Chinese Physics Letters》2017年第10期95-99,共5页Duan Kang Ye-Xin Feng Ying Yuan Qi-Jun Ye Feng Zhu Hao-Yan Huo Xin-Zheng Li Xiang Wu 
Supported by the National Natural Science Foundation of China under Grant Nos U1232204,41473056,11422431 and 11634001;the National Key Research and Development Program of China under Grant No 2016YFA0300901;the National Basic Research Program of China under Grant No 2013CB934600
The 6-AIOOH can transport water into the deep mantle along cold subducting slab geotherm. We investigate the hydrogen-bond symmetrization behavior of 6-AIOOH under the relevant pressure-temperature condition of the lo...
关键词：Hydrogen-Bond Symmetrization of AlOOH 
Symmetrization for Fractional Elliptic and Parabolic Equations and an Isoperimetric Application(Dedicated to Haim Brezis,great master of analysis,on his 70th birthday)被引量：1
《Chinese Annals of Mathematics,Series B》2017年第2期661-686,共26页Yannick SIRE Juan Luis VAZQUEZ Bruno VOLZONE 
supported by the ANR projects“HAB”and“NONLOCAL”,the Spanish Research Project MTM2011-24696;the INDAM-GNAMPA Project 2014“Analisi qualitativa di soluzioni di equazioni ellittiche e di evoluzione”(Italy)
This paper develops further the theory of symmetrization of fractional Laplacian operators contained in recent works of two of the authors. This theory leads to optimal estimates in the form of concentration compariso...
关键词：Symmetrization  FRACTIONAL Laplacian  Nonlocal ELLIPTIC and parabolicequations  Faber-Krahn inequality 
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