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In this thesis,the voltage stability boundary is the combined boundary which correspond to Saddle-node bifurcations and Hopf bifurcations.The closest Hopf bifurcation point is found through the proposed iterative method under the assumption that the Hopf hypersurface is continuous and convex.

因此在本论文中，在多维参数空间下，将稳定边界推广到鞍点和Hopf分岔点构成的混合稳定边界，探索性寻求Hopf分岔超平面的法向量，采用迭代算法求取系统发生最近振荡型电压失稳的负荷增长方式。

This result shows that if the image of the Gauss map of an evolution convex surface with planar boundary covers some hemisphere, such a surface maybe be of infinitesimal nonrigidity for the isometric infinitesimal deformation of planar boundary.

这个结果表明如果带平面边界的凸旋转曲面的Gauss映照像覆盖了某个半球，这曲面对于保持平面边界的无穷小等距形变来说可能是非无穷小刚的。

Meanwhile we present a kind of convex surfaces which are of infinitesimally nonrigidity and global nonrigidity.

在此基础上，给出一个非无穷小刚且非整体刚的例子。

With given circumradius R and inradius r,two fundamental inequalities related to the lower bound of the area A and perimeter p of a convex set K are obtained.

在给定平面凸集K的外径R和内径r的条件下，得到了关于凸集的面积A和周长p的下界的一组不等式，并且证明了当凸集K为双帽体时不等式取得等号。

Considering the effect of load and helical angle on the instaneous width of contact area, this paper uses the BEM program for calculating the deformations at different place along the width of convex tooth and concave tooth of W-N gear and gets the relevant deformation curves.

并首次应用三维边界元方法，在计入齿面瞬时接触迹宽度随外载、螺旋角而变化的条件下，计算了双圆弧齿轮凸齿面端部和凹齿面端部的变形。

For the large non-convex nonlinear programming or mixed integer nonlinear programming caused by optimization of water and energy, an adaptive simulated annealing genetic algorithm is developed in this paper.

该方法同样可以用于多杂质系统，也是该方法的特点之一，且能量集成可以在全过程系统内进行，与分步设计法的优化结果比摘要(3)(4)较说明同步优化设计法是更为准确和有效的。

This article analyzed the stress and vertical stress integral curve of the core of bottom hole through finite element software,we found the rock of the bottom hole was " convex" during gas drilling ,and the effecting scope of the down stress was large than the conventional drilling fluid.

采用气体钻井时机械钻速较高，目前已被钻井界普遍认可；但对气体钻井是如何提高机械钻速的研究还不多。

For convex domains of strict finite type, we use the pseudodistant constructed by McNeal to estimate the kernel of integral representation formula of d-bar.

对于一般的严格有限型凸域，我们使用McNeal构造的拟距离来估计d-bar方程解的积分表示公式中的核。

The morphological and anatomical characteristics of"Zha′ai 76"Comparing with the plants of normal M.baccata and ordinary hybrid,"Zha′ai76"and other plants with Dw major gene showed that:the length of springgrowth or main shoot is shorter by 59.6-66.2%;the ratio of length:diame-ter of new shoot smaller by 33.2-58.4%;the length of internee shorter by14.0-42.7%:the node number of spring growth lesser by 40.7%;the cauli-cle height under the cotyledons of hybrid seedlings shorter by 65.0%;the in-dex of leaf stalk(stipe length:stipe thiek ness)on the spring growth smaller by34.5-50.2%;the length of leaf stalk shorter by 25.2-45.7%;the boundarybelt between spring and autumn growth has knob-like nodes;the margin of leafappears wave-like;the sepals with spinous proeessuses are massive and small;the eonstriction at calyx is not obvious;the trace of abscisic sepals is big;the ca-lyx end of fruit is plan or convex;the shape of shoot tip(of"Zha′ai 76")iswider and shorter;and in 1.0mm part from the top of shoot tip,there are manyspecialized cells which are larger in volarae,but with lesser inner material andwith smaller or no nucleus.

"扎矮76"的形态解剖特征与普通山定子和杂交后代中普通型植株对比，"扎矮76"和其它携带Dw主基因植株的：春梢短59.6-66.2％，梢长与梢粗比值小33.2-58.4％，节间短14.0-42.7％，春梢节数少40.7％，杂种苗下胚轴短65.0％，春梢叶柄形指数小34.5-50.2％，叶柄短25.2-45.7％，春秋梢交界处有瘤状突起，叶缘波状，萼片肥厚有刺状突起，萼部缢痕不明显，脱萼后萼痕较大、萼洼平或高于果面；新梢生长点宽而短，在距顶端1.0gmm处有较多体积较大、内容物较少、细胞核小或无的待化细胞。

This thesis consists of five chapters. At first, We introduce the study history as well as present situation on KKM theory. Secondly, We discuss the invariability of transfer open valued multimap under the restriction of upper and lower semicontinuity on generalized convex spaces. Then, We obtain new KKM type theorems from the classical KKM theorem by applying upper and lower semicontinuity. We also obtain intersection theorems by applying the KKM type theorems for a multimap from a topological space to another topological space. Further, We obtain Ky-Fan type coincidence theorem by applying known variational results on the KKM type theorems. Finally, We give an application to new theorems.

本文共分五章，首先回顾了KKM理论的研究历史和现状，其次讨论了在一般化凸空间上转移开值映射在上、下半连续映射下的不变性，然后在上、下半连续映射下，以古典的KKM定理为基础得到新的KKM型定理，并利用从一个拓扑空间到另一个拓扑空间的集值映射及KKM型定理得到相交定理，进一步利用已知的KKM型定理的变形结论得到Ky-Fan型重叠定理，最后给出新定理的一个应用。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。