查询词典 at infinity

This thesis is devoted to the problems of integral conditions, center -focus determination and bifurcation of limit cycles at degeneratesingular point and the infinity of planar polynomial differential system.

本文主要研究平面多项式微分系统退化奇点与无穷远点的可积条件以及中心焦点判定与极限环分支，全文由七章组成。

Owing to this quantum regime, the image potential will not become the infinity when the electron is at the metal surface.

由於这量子区域，当电子在金属表面时，镜像位能才不会发散成无穷大。

Similar to Debye screening in QED, at sufficiently high density we expect colour screening to set in and the potential does not go into infinity as r increases. Color screening thus transform a color insulator into a color conductor, turning hadronic matter into a quark matter, where the interactions between quarks and gluons become relatively weak and long range.

在极高的能量密度下，类似于量子电动力学中的"德拜屏蔽"，夸克、胶子间的相互作用可能不再随距离的增大而趋于无穷大，夸克、胶子可以超出强子，在较大的范围内运动，形成夸克-胶子等离子体。

It is shown that two-component Wadati-Konno-Ichikawa equation, i.e. a generalization of the wellknown WKI equation is obtained from the motion of space curves in Euclidean geometry, and it is exactly a system for the graph of the curves when the curve motion is governed by the two-component modified Korteweg-de Vries flow. At the same time, a n-component generalization to the WKI equation is obtained. Also, starting from the motion of curves, mKdV and its symmetry recursion operator is exhibited explicitly; two- and n-component mKdV systems are obtained. It is shown that WKI systems are gauge equivalent to mKdV systems. The two-component WKI equation admits an infinity number of conservation laws and a recursion formula for the conserved densities is given by considering an eigenvalue problem together with introducing an appropriate transformation.

在二维和三维欧氏空间上，我们从空间曲线运动出发，推导出了mKdV方程以及它的用以生成高阶对称的递归算子；推导出了多元mKdV方程以及二元和多元WKI方程，并证明了WKI系统和mKdV系统的规范等价性；尔后，通过考虑特征值问题，并引入一个恰当变换，给出了二元WKI方程的用以计算无穷多守恒密度的递归公式，从而证明了二元WKI方程的守恒可积性；系统地分析了两种mKdV方程的Painleve性质，并分别给出了两种不同形式的二元和n元mKdV方程的共振点出现的规律。

The article covers the full research on such aspects as mathematic description, numerical analysis method and their practical applications. The diphase heating surface is divided into a hot water section, a evaporation section and a micro overheat section , the problems of model switching are avoided successfully between subcritical and supercritical working condition in the model of The diphase heating surface, and the model can be used for between subcritical and supercritical working condition without causing the model stiff infinity prick up problem. The mathematical model and dynamic characteristic account is unified and predigested for the diphase heating surface of once—through boiler under subcritical and supercritical pressure, and propose that the working conditions at phase change point could be used as divide criterion between water region and steam region under supercritical pressure, the problems are solved successfully between water and steam phase change point under supercritical pressure.

本文在过程的数学描述、数值分析以及实际应用等方面进行了系统的研究分析，将双相受热面统一划分为热水段、蒸发段和微过热段三段，所建立的双相受热面模型不但成功地避免了超临界工况与亚临界工况间的模型切换，而且消除了由区段划分欠妥所引起的模型刚性无限加剧的问题，统一并简化了超临界及亚临界压力下直流锅炉双相区段的数学模型和动态特性计算，而且提出了利用相变点工况作为超临界压力下划分汽水区域的标准，解决了超临界压力下水与蒸汽的相变点问题。

The sharp contrast between the infinity of nature and time and the finity of life indicates that life is nothing but a tragedy at birth.

自然、时间的无限与生命的有限构成了强烈的对比，因此生命自它诞生之日就浸透了浓郁的悲剧汁液。

Fronting the infinity pool and the sea, guests will be able to relax and dine at the same time.

面对着游泳池和海洋，客人在这里休息同时还可用餐。

Notice that a small amount of foreground focus can be gained by focusing the lens at a shorter distance than infinity known as Hyperfocal Focusing.

大多数定焦镜头在镜筒上都有超焦点刻表帮助调整最大的焦点。这就是为什么我们仍然不用变焦镜头而用定焦镜头的原因

Like a celestial chaperon, the placebo leads us through the uncharted passageways of mind and gives us a greater sense of infinity than if we were to spend all our days with our eyes hypnotically glued to the giant telescope at Mt Palomar.

像天国的庇护者一般，安慰剂引导我们穿过意识中毫无标引的航道并带给我们比整天痴迷于帕洛马山的巨型望远镜前凝望天穹更为广阔的无限观念。

Placebo Like a celestial chaperon , the placebo leads us through the uncharted passageways of mind and gives us a greater sense of infinity than if we were to spend all our days with our eyes hypnotically glued to the giant telescope at Mt Palomar .

像天国的庇护者一般，安慰剂引导我们穿过意识中毫无标引的航道并带给我们比整天痴迷于帕洛马山的巨型望远镜前凝望天穹更为广阔的无限观念。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。