The para-Blaschke tensor are extended in this paper from hypersurfaces to general higher codimensional submanifolds in the unit sphere Sn,which is invariant under the M(o)bius transformations on Sn.Then some typical new examples of umbilic-free submanifol
Let l be a line in a projective space Pn.We consider the blowing up Pn(l) of Pn along l.Assume that X is a smooth closed subvariety of Pn.If the strict transform of X in Pn(l) has a splitting tangent sequence and dim X is at least 2,then X is a linear sub
The growth of meromorphic solutions of linear difference equations containing Askey-Wilson divided difference operators is estimated.The φ-order is used as a general growth indicator,which covers the growth spectrum between the logarithmic order plog(f) a
“天空没有留下翅膀的痕迹,但我已经飞过.”这句话出自印度诗人泰戈尔的《飞鸟集》.一种消极的理解认为:我们都在不断遇见随后错过,我们学会了麻木,天空依旧泛着淡然,我们却已不再重返.近期听了一节高三复习题,课题是“与三角形面积有关的问题”,授课教师采用变式教学方式与学生互动,听课时觉得很精彩,但是从学生课堂反馈及后期测试的结果看,效果一般,笔者深感意外,有一种“飞过”却没留下任何痕迹的感觉.现将教学过程展示如下.
The aim of this paper is to establish an extension of quantitative uncertainty principles and an algorithm for signal recovery about the essential supports related to a Bessel type of (LCT) so called canonical Fourier-Bessel transform.
文[1]中,笔者把三角形的奈格尔(Nagel)点[2]概念及性质引申推广至有棱切球的特殊四面体中.本文拟将奈格尔点概念进一步引申推广至一般四面体中.rn三角形的奈格尔(Nagel)点被国内作者称为三角形的“界心”[3～10]——这是由三角形的三条“周界中线”交于一点而得名(同一个三角形的界心与奈格尔点是同一点,以下统称为三角形的界心).即有(如图1)
由数学家游志平(笔名万精油)博士著的《数苑趣谈》(如图1)于2021年8月由科学出版社出版.全书包括科学普及、灵机一动、开卷有益、数学八卦、百花园和科幻小说6篇内容,共计27万字.本书是由汤涛院士任主编的天元数学文化丛书第一本.汤涛院士为本书作序,并在序言中写道:“《数学文化》目前已经催生了三本书,卢昌海的《黎曼猜想漫谈》(清华大学出版社,2012年),蒋迅、王淑红的《数学都知道》(北京师范大学出版社,2016年),以及即将由科学出版社出版的志平博士的大作.”
We establish the global well-posedness for the multidimensional chemotaxis model with some classes of large initial data,especially the case when the rate of variation of ln v0 (v0 is the chemical concentration) contains high oscillation and the initial d
An edge-cut of an edge-colored connected graph is called a rainbow cut if no two edges in the edge-cut are colored the same.An edge-colored graph is rainbow disconnected if for any two distinct vertices u and v of the graph,there exists a rainbow cut sepa