四川横鼓蝗属一新种（蝗总科：网翅蝗科）

本文记述横鼓蝗属一新种，雅江横鼓蝗Ｔｒａｎｓｔｙｍｐａｎａｃｒｉｓｙａｊｉａｎｇｅｎｓｉｓｓｐ．ｎｏｖ．，并附横鼓蝗属分种检索表。     

西藏网翅蝗科两新种（直翅目：蝗总科）

记述采自西藏贡嘎地区网翅蝗科两新种，即贡嘎牧草蝗Ｏｍｏｃｅｓｔｕｓ ｇｏｎｇｇａｒｅｎｓｉｓｓｐ．ｎｏｖ。及贡嘎缺耳蝗Ａｔｙｍｐａｎｕｍ ｇｏｎｇｇａｒｅｎｓｉｓ ｓｐ．ｎｏｖ。     

四川横鼓蝗属－新种（蝗总科：网翅蝗科）

本文记述横鼓蝗属－新种，雅江横鼓蝗Ｔｒａｎｓｔｙｍｐａｎａｃｒｉｓｙａｊｉａｎｇｅｎｓｉｓｓｐ．ｎｏｖ，并附横鼓蝗属分种检索表     

内蒙古网翅蝗科二新种(直翅目：蝗总科)

论述采自内蒙古阿拉盖盟网翅蝗科二新种，好红足雏蝗Ｃｈｏｒｔｈｉｐｐｕｓ ｂｕｒｒｉｐｅｓ ｓｐ．ｎｏｖ．及尖翅横鼓蝗Ｔｒａｎｓｔｙｍｐａｎａｃｒｉｓ ａｃｕｔａｌｕｌａ ｓｐ．ｎｏｖ．．模式标本保存于陕西师范大学动物学研究所。     

四川省斑腿蝗科三新种（直翅目：蝗总科）

记述了采自四川省斑腿蝗科三新种，即古蔺卵翅蝗Ｃａｒｙａｎｄａｇｕｌｉｎｅｎｓｉｓｓｐ．ｎｏｖ．，笋子山蹦蝗Ｓｉｎｏｐｏｄｉｓｍａｓｕｎｚｉｓｈａｎｅｎｓｉｓｓｐ．ｎｏｖ．及金沙拟凹背蝗Ｐｓｅｕｄｏｐｔｙｇｏｎｏｔｕｓｊｉｎｓｈａｅｎｓｉｓｓｐ．ｎｏｖ．     

鄂陕地区雏蝗属二新种（直翅目：网翅蝗科）

记述采自陕西秦岭及湖北神农架地区雏蝗属二新种，即宽中域雏蝗Ｃｈｏｒｔｈｉｐｐｕｓ ａｍｐｌｉｍｅｄｉｕｓ ｓｐ．ｎｏｖ。及神农架雏蝗Ｃｈｏｒｔｈｉｐｐｕｓ ｓｈｅｎｎｏｎｇｊｉａｅｎｓｉｓ ｓｐ．ｎｏｖ。     

云南省负蝗属一新种（直翅目：蝗总科）

记述了采自云南省的负蝗属蝗虫一新种：狭翅负蝗ＡｔｒａｃｔｏｒｐｈａｄｕｂｉａｓＰ．ｎｏｖ，该新种近似于纺梭负蝗ＡｔｒａｃｔｏｒｐｈａｂｕｒｒｉＩ．Ｂｏｌｉｖａｒ和云南负蝗Ａ－ｔｒａｃｔｏｍｏｒｐｈａｙｕｎｎａｎｅｎｓｉｓＢｉｅｔＨｓｉａ．     

福建省卵翅蝗属一新种（直翅目：斑腿蝗科）

记述了采自福建省的卵翅蝗属一新种：德化卵翅蝗（Ｃａｒｙａｎｄａ ｄｅｈｕａｅｎｓｉｓｓｐ．ｎｏｖ．）,该新种近似于白尾卵翅蝗（Ｃａｒｙａｎｄａ ａｌｂｕｆｕｒｃｕｌａ Ｚｈｅｎｇ １９８８）。     

广西龙州蝗属一新种(直翅目:斑腿蝗科)

记述采自广西环江毛南族自治县的龙州蝗属—新种，即环江龙州蝗Ｌｏｎｇｚｈｏｕａｃｒｉｓｈｕａｎｊｉａｎｇｅｎｓｉｓｓｐ．ｎｏｖ．该新种近似于海南龙州蝗ＬｏｎｇｚｈｏｕａｃｒｉｓｈａｉｎａｎｅｎｓｉｓＺｈｅｎｇｅｔＬｉａｎｇ和金秀龙州蝗ＬｏｎｇｚｈｏｕａｃｒｉｓｊｉｎｘｉｕｅｎｓｉｓＬｉｅｔＪｉｎ。     

云南省负蝗属一新种

记述了采自云南省的负蝗属蝗虫的一新种：狭翅负蝗Ａｔｒａｃｔｏｍｏｒｐｈａ ｄｕｂｉａｓｐ．ｎｏｖ．，该新种近似于纺梭负蝗Ａｔｒａｃｔｏｍｏｒｐｈａ ｂｕｒｒｉ Ｉ．Ｂｏｌｉｖａｒ和云南负蝗Ａｔｒａｃｔｏｍｏｒｐｈａ ｙｕｎｎａｎｅｎｓｉｓＢｉ ｅｔ Ｈｓｉａ。     

具有极大正规化子的有限群

设群G是有限群.如果对G的任意循环子群A,都存在素数p,使得|G∶N_G(A)||p,那么称G为NP-群.利用循环群的自同构群的性质和群作用等处理手段,证明了有限NP-群G是亚交换群,进而改进了目前已有的关于NP-群已经取得的结论,即有限NP-群G的导长至多是3.     

Prescribing symmetric scalar curvature onS 2

The problem of prescribing scalar curvature in S2 is discussed, and the solvability of the e-quation - Δu + 2-Reu = 0 on S2, is given, where R∈C0(S2). It is known that there are some obstructions . Some new results are given by seeking a solution of the minimax type. For example, supposing that R is G symmetric and is constant on the set of fixed points on S2 under G (where G is a subgroup of O(3)), It is proved that the equation is solvable if and only if R is positive somewhere.     

对偶L_q变换法则

在已有结果的基础上对对偶L_q Brunn-Minkowski理论做了一些推广,主要讨论了对偶L_q Brunn-Minkowski型不等式并得到部分结果.给出统一的处理对偶L_q Brunn-Minkowski型不等式的方法,称此方法为对偶L_q变换法则,通过运用此法则给出了关于对偶混合体积著名的对偶L_q Brunn-Minkowski型不等式的简化证明.     

最小Q-特征值第二小的给定悬挂点数的非二部单圈图

图的最小Q-特征值常被用来衡量一个图的非二部程度,受到研究者的广泛关注。在路Pn-k-2的一端接出一个圈C3,另一端接出k个悬挂边,所得的n阶图记为Ukn(3)。范益政等人最近证明Ukn(3)是最小Q-特征值达到最小的图。在他们的基础上,证明C13(n-k-1)是最小Q-特征值达到第二小的图,其中C13(n-k-1)是将Ukn(3)的一条悬挂边移至与悬挂邻点相邻的非悬挂点上所得的图。     

The Total Irredundance Numbers on Graphs

This paper discusses the total irredundance relations between the graph G and its clone-contraction graph H, that is, let H be the clone-contraction graph of G and v1,v2,...,vk be all contraction vertices ofH. IfS is a maximal total irredundant set of H such that A = S ∩ {V1,V2,…,Vk} contains as few vertices as possible, then S＇= S-A is the maximal total irredundant set of G. Furthermore, we obtain the bound of the total irredundance A（G） number： irt ≤△（G）/2△（G）＋1 n, which n is the order of graph G, and △（G） is maximum degree in G.     

直径图为11圈的7距离集研究

如果平面点集X中的任意两点确定的互异距离数为k,则称X为k距离集。用d(x,y)表示平面上互异两点x,y之间的距离,记X中的最大距离为直径D=D(X)。直径图DG(XD)是由X中所有直径构成的图,XD表示其顶点集。讨论了当X是一个7距离集时,直径图DG(XD)的构型。利用DG(XD)中最多包含一个圈,且只能为奇圈的特性,以及直径所具有的特殊性,证得当直径图为11圈时,其顶点集XD恰好为某正十一边形的顶点集。     

关于(A+tB)m主子式的和的注记

当A,B中有一个是正定矩阵,另一个是半正定矩阵时,(A tB)m的主子式的和在k=n(任意m)和m<3(任意k,n)这两种情况下是关于t的正系数多项式.     

A newly discovered Gigantopithecus fauna from Sanhe Cave, Chongzuo, Guangxi, South China

Among the most important faunas in the Late Cenozoic, the Gigantopithecus faunas have received a good deal of attention. The Gigantopithecus fauna recently discovered in Sanhe Cave consists of more than 80 mammal species, including cf. Hominidae, Pongo sp., Hylobates sp., Sinomastodon yangziensis, Stegodon preorientalis, Cervavitus fenqii, Dicoryphochoerus ultimus and Sus xiaozhu. It is the southernmost Gigantopithecus fauna found so far in China. Its geological age is estimated to be Early Pleistocene based on the fauna and stratigraphic correlation. The significant increase in the estimated body sizes of Ailuropoda, Gigantopithecus and Tapirus shows that the Sanhe fauna is middle Early Pleistocene, later than those from Wushan and Liucheng (early Early Pleistocene). Paleomagnetic dating of the fossil-bearing strata in Sanhe Cave gives an age of approximately 1.2 Ma. The fauna is characterized by tropical-subtropical forest types, including Pongo sp., Tupaia sp., Ia sp., Typhlomys intermedius, etc., and it lacks Palaearctic types. It is a typical tropical forest fauna, suggesting an environment with a lush forest and a warm and humid climate. The discovery of the Sanhe Gigantopithecus fauna is significant for establishing the chronological stages of the Gigantopithecus faunas in China, and for discussing their origin, evolution and dynamics. Supported by Key Knowledge Innovation Project of the Chinese Academy of Sciences (KZCX2-YW-106) and National Basic Research Program of China (Grant No. 2006CB806400)     

A class of quasisymmetric mappings with substantial points

It is proved thatK _q (h)=K ₀(h) for everyh in some class of quasisymmetric mappings of the unit circle with substantial points, whereK _q (h):=sup{M(h(Q))/M(Q);Q is a quadrilateral with the domain unit disk} andK ₀(h) is the extremal maximum dilatation ofh.     

左消语言与析取语言及其推广的乘积性质

 主要解决了左消语言与析取语言及其推广的乘积是何种语言的问题.首先,证明了:当X是左消语言,Y是任意语言时,XY的主同余包含在Y的主同余中.在此基础上得到了如下关于析取语言及其推广的一些结论:当X是左消语言,Y是析取语言或是其推广时,XY也是相应的同类语言.