She stepped forward so that she stood over them , and placed the tip of her wand on their linked hands 她走向前，站在那两人身边，把魔杖杖尖点在他们紧握的手上。
The amount of track points , including the double cusp points , which could be mostly realized by this kind of synthetic problems , was analyzed 分析了包括双尖点在内，该类综合问题最多能实现的轨迹点数目。
Quartic ph curves are studied . their contribution of cusps and inflections are discussed in this paper . a first - order hermite interpolation by quartic ph curves is obtained 文中还研究了四次ph曲线，讨论了其尖点和拐点的分布情况，得出了四次ph曲线的一阶hermite插值的解。
Abstract : through appropriately changing the water - inrush condition based on mechanical analysis , the potential energy function of water - inrush from coal floor could be derived , which conforms to the catastrophic model 文摘:对建立在力学分析基础上的突水条件进行适当变换，得到煤层底板突水势函数，它符合尖点突变模型。
By using multiple knot insertion techniques , cusps and straight - line segments allow to arise in the nuat b - spline interpolating curve , and its slackness and smoothness can be controlled by the change of the parameter 2 .通过重节点插入技术构造了带有尖点或直线段的混合插值曲线,分析了混合因子对插值曲线松弛性的调节作用
The central peaks of several craters on the flanks of syrtis major are made up of an even more silica - rich rock , granite , that may have formed by extreme crystal separation or by large - scale remelting of earlier basalts 在大三角侧面，几个火山口的中间尖点是由一种矽含量更高的岩石花岗岩所构成，可能是经极度晶体分化，或早期玄武岩大?围重新熔融而形成。
The optimal course is automatically implemented with matlab . the cusp catastrophe model is established by means of the upper bound theorem of plastic limit theory . the characteristic formula of the failure of slope is also deduced 根据分析边坡稳定性的塑性极限方法的上限理论建立了边坡失稳尖点突变模型，并得出边坡突发式滑坡的特征关系式，用突变理论对非饱和土边坡稳定进行了初步研究。
By describing orbit curves with abundant forms with the basic orbits such as line , arc , cusp and " 8 " form , identification of orbit characteristics can be well solved and fundamental characteristic parameters of key orbit segments can be determined 通过直线、圆弧、尖点、 " 8 "字形等基本轨迹特征描述形状丰富的轨迹曲线，不仅较好地解决了轨迹特征识别问题，同时可以确定关键轨迹段的基本特征参数。
The paper uses catastrophe theory to construct the models of the key supporting rock mass that made of different kinds of rock , and discusses the critical requirement of fail . on the critical condition , if the system has small disturbance , the whole stable system will fail 应用突变理论，建立了关键承载层由一层完整岩体构成、一层厚断裂岩体构成、层状岩体构成及软弱夹层滑移的尖点突变失稳模型并得出了失稳的力学判据。
( 2 ) the causation that the caustic phenomena of electromagnetic wave propagation in two - dimension concave reflectors occurs and the types of singularities in caustic fields are investigated , and the conclusion that there are two types of singularities ( fold and cusp ) in caustic fields in two - dimension concave reflectors is obtained ; by symplectic geometrical method , formulations of computing wave fields in and far away from caustic fields in two - dimension concave reflectors are deduced , and the results are plotted in pictures . ( 3 ) the cause of the caustic phenomena of electromagnetic wave propagation in three - dimension concave reflectors and the types of singularities in caustic fields is discussed , and the conclusion that there are three main types of singularities ( fold , cusp and swallowtail ) in caustic fields in three - dimension concave reflectors is obtained ; by symplectic geometrical method , the formulae of computing wave fields in and far away from caustic fields in three - dimension concave reflectors are deduced . particularly , the wave fields in ellipsoid concave reflector are computed , and the results displayed in special sections are given 论文主要包括三个方面： ( 1 )分析了凹面反射的焦散现象，给出了不同凹面反射的焦散图； ( 2 )分析了二维凹面反射波动场焦散现象产生的原因及焦散区奇性的种类，得出了二维凹面反射波动场焦散区奇性主要有折叠( fold )和尖点( cusp )两种的结论，利用辛几何方法构造了圆锥曲面反射波动场非焦散区和焦散区的通用计算公式，并给出了圆柱面、椭圆柱面及双曲柱面反射的计算结果； ( 3 )分析了三维凹面反射波动场焦散现象产生的原因及焦散区奇性的种类，得出了三维凹面反射波动场焦散区奇性主要有折叠（ fom 、尖点kusp和燕尾k ）三种的结论，提出了利用辛几何方法计算三维凹面反射波动场非焦散区和焦散区的计算方法，并给出了三轴不等椭球体凹面反射波动场的计算结果剖面图。
