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...
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...
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...
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...
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 ...
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.
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...
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].