CONJECTURE

作品数:486被引量:295H指数:8
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相关领域:理学更多>>
相关作者:韩国平刘建熙邱青刘瑞元李逸更多>>
相关机构:华南师范大学大连理工大学浙江大学山东大学更多>>
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相关基金:国家自然科学基金国家重点基础研究发展计划北京市自然科学基金国家教育部博士点基金更多>>
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On Reverses of the Blaschke-Santalo Inequality for Convex Bodies被引量:2
《Chinese Quarterly Journal of Mathematics》2013年第4期605-611,共7页WANG Wei-dong ZHOU Yan-ping 
Foundation item: Supported by the National Natural Science Foundation of China(10671117); Supported by the Innovation Foundation of Graduate Student of China Three Gorges University(2012CX077)
Reisner proved a reverse of the Blaschke-Santal5 inequality for zonoid bodies, Bourgain and Milman showed another reverse of the Blaschke-Santal5 inequality for centered convex bodies. In this paper, two reverses of t...
关键词:convex body Blaschke-Santal5 inequality REVERSE Petty's conjecture 
The Colored Jones Function被引量:1
《Chinese Quarterly Journal of Mathematics》2012年第1期87-91,共5页HAN You-fa YAN Xin-ming LV Li-li 
Supported by the NSF of China(11071106);Supported by the Liaoning Educational Committee (2009A418)
In this paper,we discuss the properties of the colored Jones function of knots.Particularly,we calculate the colored Jones function of some knots(3_1,4_1,5_1,5_2).Furthermore,one can compute the Kashaev's invariants a...
关键词:volume conjecture Kashaev’s conjecture colored Jones function 
On the Four Conjectures of G G Lorentz Type in L_ρ~2[-a,a]
《Chinese Quarterly Journal of Mathematics》2009年第3期343-348,共6页王元恒 杨文善 
Supported by the NNSF of China(10771141)
In the space C[-1,1],G G Lorentz proposed four conjectures on the properties of the polynomials of the best approximation in 1977,1978 and 1980.The present paper transplants the four conjectures in the space Lρ2[-a,a...
关键词:best approximation Lorentz's conjecture different norms property of polynomial 
A Class of the Geometric Inequalities Involving k-Brocard Distance被引量:5
《Chinese Quarterly Journal of Mathematics》2006年第2期210-219,共10页WEN Jia-jin KE Rui LUE Tao 
Supported by the NSF of China(10171073)
Let P be an inner point of a convex N-gon ΓN : A1A2… ANA1(N ≥ 3), and let di,k denote the distance from the point Ai+k to the line PAi(i = 1,2,…,N, Ai = Aj〈=〉 i ≡ j(modN)), which is called the k-Brocard...
关键词:convex N-gon k-Brocard distance Hoelder inequality Janous-Klamkin's conjecture 
A Conjecture on Veronese Generating Submanifolds
《Chinese Quarterly Journal of Mathematics》2004年第1期63-66,共4页SONGHong-zao SONGXiao-xin 
Supported by the Education Commission of Henan Province(20021100002); Supported by the NSF of Henan University(200110475028)
In this paper,the higher dimensional conjecture on Veronese generating subman-ifolds proposed by Prof. SUN Zhen-zu is generalized to Pseudo-Euclidean Space L1(m+1), it is proved that in the higher dimentional Lorentz ...
关键词:finit type submanifolds minimal submanifolds Veronese generating submani folds 
On Kendall's Conjecture for an Extended Birth-death Q-processes with Instantaneous State and Catastrophes被引量:3
《Chinese Quarterly Journal of Mathematics》2004年第1期41-46,共6页WUQun-ying 
Supported by the Guangxi Science Foundation(0339071)
A new structure with the special property that instantaneous state and catas-trophes is imposed to ordinary birth-death processes is considered. Kendall's conjecture forthe processes is proved to be right.
关键词:extended birth-death process instantaneous state Kendall's conjecture 
Several Research Results of π(x+y)≤π(x)+π(y)
《Chinese Quarterly Journal of Mathematics》2003年第4期425-428,共4页王国富 张长春 
SupportedbytheHenanProgrammingofEducation :theNewandInterestingTeachingMethodinMath ematics( 2 0 0 0 -JKGHA -115 )
The famous conjecture in distribution of prime numbers remains unsolved whether there exists a constant inequality of “ π(x+y)≤π(x)+π(y) ” for all integers such as x, y≥2. The present article argues that when x...
关键词:distribution of prime numbers INEQUALITY CONJECTURE attestation 
Supplement to “on the Conjecture of Gackstatter and Laine Concerning Algebraic Differential Equations”
《Chinese Quarterly Journal of Mathematics》2003年第3期230-233,共4页GAO Ling-yun (Department of Mathematics, Jinan University, Guangzhou 510632, China) 
SupportedbytheNationalNaturalScienceFoundationofChina( 199710 52 )
This paper investigates the form of complex a lgebraic differential equation with admissible meromorphic solutions and obtains two results which are more precise thatn that of the paper [2].
关键词:meromorphic solution complex differential equations the value distribution 
On the Conjecture of Gackstatter and Laine Concerning Algebraic Differential Equations
《Chinese Quarterly Journal of Mathematics》2002年第2期14-21,共8页邱青 韩国平 
在本文中,我们讨论了一类复代数微分方程其有允许解时的形状,得到了一个主要结果,它是文[3?]的推广.
关键词:代数微分方程 允许解 复微分方程 形状 值分布 
On the Conjecture of Gackstatter and Laine Concerning Algebraic Differential Equations
《Chinese Quarterly Journal of Mathematics》2002年第2期16-21,共0页邱青 韩国平 
In this paper we investigate the form of a class of complex differential equations withadmissible solution and obtain a main result.
关键词:admissible solution form of complex differential equations the value distribution 
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