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Edge Coloring of Triangle-Free 1-Planar Graphs.
New Bounds for The Identric Mean of Two Arguments
Arithmetic mean Geometric mean Identric mean
2010/1/22
Given two positive real numbers and , let , , and denote their arithmetic mean, geometric mean, and identric mean, respectively. Also, let for . In this note we prove that for all positive real...
推广的Schwarz-Pickún引理
解析 Schwarz--Pick引理 导数
2007/12/12
本文给出了Schwarz--Pick引理中单位圆到单位圆内的解析映射$f$的$n$阶导数$|f^{(n)}(z)|$的进一步估计,并且给出了$n=2$时的精确估计.
$P_1$-nonconforming Quadrilateral Finite Volume Element Method and Its Cascadic Multigrid Algorithm
2007/12/12
In this paper, we discuss the finite volume element
method of $P_1$-nonconforming quadrilateral element for elliptic
problems and obtain optimal error estimates for general
quadrilateral partition....
矩形Clifford半环的性质与结构
带半环 矩形环 分配格同余 矩形Clifford半环
2012/11/9
利用带半环的概念,将左环与左Clifford半环进行推广引入了矩形环与矩形Clifford半环的概念.给出了矩形环和矩形Clifford半环的刻画,得到了在一定条件下矩形Clifford半环的织积分解,并得到了矩形Clif-ford半环是矩形环的强分配格的充分必要条件.
Boundary Points of Self-Affine Sets in R
Self-affine sets boundary points strict product-form digits
2010/3/1
Let A be an n \times n expanding matrix with integer entries and D = \{0, d1, ... , dN-1 \} \subseteq {\Bbb{Z}}n be a set of N distinct vectors, called an N-digit set. The unique non-empty compact set...
Lock step walker model is a one-dimensional integer lattice walker model in discrete time. Suppose that initially there are infinitely many walkers on the non-negative even integer sites. At each tic...
Summation and transformation formulas for elliptic hypergeometric series
Summation transformation formulas elliptic hypergeometric series
2010/10/29
Using matrix inversion and determinant evaluation techniques we prove several summation and transformation formulas for terminating, balanced, very-well-poised, elliptic hypergeometric series.
The elliptic curve in the S-duality theory and Eisenstein series for Kac-Moody groups
elliptic curve S-duality theory Eisenstein series Kac-Moody groups
2010/10/29
We establish a relation between the generating functions appearing in the S-duality conjecture of Vafa and Witten and geometric Eisenstein series for Kac-Moody groups. For a pair consisting of a surfa...