CHORD

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ISOPERIMETRIC INEQUALITIES FOR INTEGRAL GEOMETRIC INVARIANTS OF RANDOM LINES
《Acta Mathematica Scientia》2025年第1期189-199,共11页Gaoyong ZHANG 
supported,in part,by the NSF Grant DMS-2005875.
Isoperimetric type inequalities for integral geometric invariants of random lines in the Euclidean space are shown.Entropy inequalities of probability densities on the affine Grassmann manifold of lines are given.
关键词:isoperimetric inequality convex body random points random lines chord integral Riesz potential ENTROPY 
THECHORD GAUSS CURVATURE FLOW AND ITS L_(p)CHORDMINKOWSKI PROBLEM
《Acta Mathematica Scientia》2025年第1期161-179,共19页Jinrong HU Yong HUANG Jian LU Sinan WANG 
supported by the National Natural Science Foundation of China(12171144,12231006,12122106).
In this paper,the L_(p)chord Minkowski problem is concerned.Based on the results shown in[20],we obtain a new existence result of solutions to this problem in terms of smooth measures by using a nonlocal Gauss curvatu...
关键词:L_(p)chord Minkowski problem new Monge-Ampere equation geometric fow 
Acquisition and analysis of the optimal nutrient solution temperature range for lettuce using U-chord curvature
《International Journal of Agricultural and Biological Engineering》2024年第6期93-100,共8页Huimin Li Miao Lu Kaikai Yuan Mingke Zhang Dong Wang Jin Hu 
supported by the National Key Research and Development Program of China(Grant No.2020YFD1100602);the Shaanxi Key Research and Development Program(Grant No.2023-ZDLNY-66);the Shaanxi Provincial Science and Technology Program(Grant No.Z2024-ZYFS-0043).
Extreme nutrient solution temperature significantly affects photosynthetic characteristics of hydroponic vegetables and gives rise to slow plant growth.In this study,a method was proposed to obtain the suitable nutrie...
关键词:photosynthetic rate suitable nutrient solution temperature range multiple population genetic optimization U-chord curvature 
The Faber Operator Acting on BMOA,BMO-Teichmüller Space and Chord-arc Curves
《Acta Mathematica Sinica,English Series》2024年第10期2359-2387,共29页Tai Liang LIU Yu Liang SHEN 
Supported by NSFC(Grant No.12171346)。
After reviewing Grunsky operator and Faber operator acting on Dirichlet space,we discuss the boundedness of Faber operator on BMOA,a new subject which turns out to be closely related to the BMO theory of the universal...
关键词:Faber operator quasiconformal mapping quasicircle BMO-Teichmüller space chord-arc curve Grunsky operator BMO BMOA Carleson measure Cauchy integral 
Envelopes of Two Families of Chords of an Ellipse被引量:1
《Wuhan University Journal of Natural Sciences》2021年第5期365-368,共4页ZHANG Yanfang SUN Peiru 
Supported by the Start-up Research Fund from Huzhou University (RK21089)。
In this paper, we investigate the envelope of two special families of chords of an ellipse and prove that the envelopes are also ellipses. The obtained results are important for computerized design of the generation o...
关键词:ENVELOPE chord family ELLIPSE computerized design 
Ahlfors-regular curves and Carleson measures被引量:2
《Science China Mathematics》2020年第6期1057-1064,共8页Huaying Wei Michel Zinsmeister 
National Natural Science Foundation of China (Grant No. 11501259)。
We study the relation between the boundary of a simply connected domainΩbeing Ahlfors-regular and the invariance of Carleson measures under the push-forward operator induced by a conformal mapping from the unit disk...
关键词:Ahlfors-regular curve Carleson measure push-forward operator chord-arc curve asymptotically smooth curve 
Experimental study of air-water interface properties in self-aerated flows
《Journal of Hydrodynamics》2019年第5期940-948,共9页Wang-ru Wei Wei-lin Xu Jun Deng Zhong Tian Fa-xing Zhang 
Project supported by the National Natural Science Foundation of China(Grant Nos.51609162,51379138);the National Program on Key Research Project(Grant No.2016YFC0401901).
The microscopic air-water structures and the interface area properties in the self-aerated flows are important research issues in the high-speed self-aerated flows.The present experimental study concerns the mean and ...
关键词:AIR-WATER interface area SELF-AERATION air CHORD SIZE CHUTE flow experimental study 
Quantitative Absolute Continuity of Harmonic Measure and the Dirichlet Problem: A Survey of Recent Progress
《Acta Mathematica Sinica,English Series》2019年第6期1011-1026,共16页Steve HOFMANN 
supported by NSF(Grant No.DMS-1664047);supported by NSF(Grant No.DMS-1440140)
It is a well-known folklore result that quantitative, scale invariant absolute continuity(more precisely, the weak-A∞ property) of harmonic measure with respect to surface measure, on the boundary of an open set Ω ?...
关键词:Harmonic measure POISSON kernel uniform RECTIFIABILITY weak local John condition BIG pieces of chord-arc DOMAINS CARLESON measures 
Critical Chords of Convex Bodies of Constant Width
《Wuhan University Journal of Natural Sciences》2018年第6期461-464,共4页ZHOU Xinyue JIN Hailin 
Supported by the Innovative Project of College Students of Jiangsu Province(201710332019Z);the Natural Science Foundation of Jiangsu Province(BK20171218);the National Natural Science Foundation of China(11671293)
In this paper, we show that when Minkowski measure of asymmetry of convex body K of constant width is bigger than a(n-1), K has at least n+1 critical chords, where a(n)=n+(2n(n+1))√1/2/n+2.
关键词:measure of asymmetry critical chord affine diameter Grtinbaum conjecture constant width 
The Quasi-Order of Matching Energy of Circum Graph with Chord
《Applied Mathematics》2017年第8期1180-1185,共6页Ning Zhao Yinkui Li 
The matching energy of graph G is defined as , where be the roots of matching polynomial of graph G. In order to compare the energies of a pair of graphs, Gutman and Wager further put forward the concept of quasi-orde...
关键词:MATCHING POLYNOMIAL MATCHING ENERGY MATCHING ROOT 
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