查询词典 hyperbolic cylindrical surface

Some geometric data of ellipse in hyperbolic space are considered, such as set inclusion, arc length, geodesic curvature, curvature, area and total curvature.

摘要在双曲空间中，考察椭圆的包含关系，对弧长元素、测地曲率、曲率、面积及全曲率等几何量做出细致考察。

Meanwhile, because the boundary of a Voronoi cell contains parabolic or hyperbolic curves in the Euclidean metric, it is difficult to compute the Voronoi cell area in practice.

同时，在欧氏米制中，由于Voronoi区的边界包含抛物线或双曲线，因而Voronoi区的面积很难被计算。

Secondly, for the boundary correspondence of affine stretch on hyperbolic regions, we prove that the above conclusion is also true. Finally, we pose a sufficient and necessary condition for the same conclusion.

最后利用退化的四边形序列，给出了拟对称同胚的极值拟共形延拓的最大伸缩商、四边形模之比的上确界及拟对称同胚的边界伸缩商三者相等的一个充要条件。

CHAPTER 2 is concerned with the nonlinear hyperbolic equationswhere Ω is a bounded domain with smooth boundaryΩ.

第一章讨论如下非线性抛物型方程的初边值问题：其中Ω是R的一个多角形区域，Ω为其边界，c，p，bi，f，u0均为已知函数。

This has never been more so than in this era when politics has, in Jonathan Chait's recent portrait in The New Republic, become "an atavistic clash of partisan willpower," with Christian Right pitted against the Netroots Left in a polarized media environment defined by hyperbolic talk radio and the foolish excesses of the blogosphere.

这种事于今为烈，正如乔纳森·蔡特最近在《新共和国》中所描绘的那样，政治成了"返祖遗传式的党派意志力角逐"，在夸大其词的广播谈话和博客流行的过分愚蠢的渲染而使媒体出现两极分化的氛围中，基督教右派被塑造成了与网根左翼不共戴天的对头。

An enhanced drain current model,along with an improved charge conservation capacitance model,is presented by the improvement of the channel length modulation and the hyperbolic tangent function coefficient based on the Materka model.

在Materka漏电流模型基础上，改进了沟道调制因子和饱和电压系数的建模方式，电容模型采用了改进的电荷守恒模型。

The results show that the flow stress decreases with increasing deforming temperature and increases with increasing strain rate. The flow stress of the alloy during hot compression deformation can be described by constitutive equation in hyperbolic sine function with a hot deformation activation energy of 196.27 kJ/mol. Partial recystallization takes place in the alloys deformed at a high temperature or at a low strain rate, and large number of dislocations and subgrains are observed in the alloy. The elongated grains observed in the samples coarsen with increasing temperature and decreasing strain rate. Correspondingly, the subgrain size increases and the dislocation density decreases. The main soften mechanism of the alloy transforms from dynamic recovery to dynamic recrystallization.

结果表明：Al-Cu-Mg-Ag耐热铝合金在热压缩变形中的流变应力随着温度的升高而减小，随着应变速率的增大而增大；该合金的热压缩变形流变应力行为可用双曲正弦形式的本构方程来描述，其变形激活能为196.27kJ/mol；在变形温度较高或应变速率较低的合金中发生部分再结晶，并且在合金组织中存在大量的位错和亚晶；随着温度的升高和应变速率的降低，合金中拉长的晶粒发生粗化，亚晶尺寸增大，位错密度减小，合金的主要软化机制逐步由动态回复转变为动态再结晶。

So before applying Mather's theorem of connecting orbits to concrete Hamiltonian system, we have to check whether the set W〓 is empty or not, and which cohomology classes are C-equivalent. In present paper, by investigating the topological structure of action minimizing sets near a co-dimensional one torus which is preserved under generic perturbations and becomes hyperbolic in nearly integrable Hamiltonian system.

与传统的Poincaré-Melnikov方法相比，我们方法明显优越之处在于，一方面我们的方法不仅可以得到双曲环面之间的异宿轨道，而且当该环面附近的其它环面破裂时，可以得到不同Mather集之间的连接轨道，另一方面，我们把异宿轨的存在性的证明转化为双曲环面极小同宿轨的某种弱孤立性的证明，所需条件比Poincaré-Melnikov方法弱得多。

Utilizing the symmetric property of the hyperbolic complex space-time, we may explain the correspondence relations of time inversions, energy inversions and complex conjugate transformations.

利用双曲复时空间的对称性，可以解释时间反演、能量反演与复共轭变换的对应关系，能够找出正、反粒子的时空对应点。

Part II, the artificial boundary condition and its numerical methods based on natural boundary reduction for a hyperbolic initial boundary value problem in an infinite domain with a concave angle is investigated.

第二部分，研究一类具有凹角的无界外区域的双曲型初边值问题基于自然边界归化的人工边界条件及其数值方法。

This is the inheritance of the tribe of the children of Issachar according to their families, the cities and their villages.

19：23 这些城并属城的村庄就是以萨迦支派按着宗族所得的地业。

I've have enough of your garbage.

我听了你的废话。