查询词典 analytical geometry

Using Landauer-Buttiker formulism the analytical expressions for the electronic transmission probability as a function of incident electron energy and geometry parameters are obtained, with which the conditions for interference maximum and minimum of electron wave are indicated analytically and verified numerically.

用Landauer-Büttiker公式解析地计算出了两种情况下系统电子透射率作为入射电子能量和系统几何参数的函数表达式，从而分析得出了由于量子干涉产生透射极大与极小值时入射能量与几何参数所满足的条件关系并得到了数值验证。

On the basis of HPLC analytical results, a reaction mechanism between chlorine dioxide and phenol had been proposed. The rate control step in the process of reaction was studied by using ab initio method. Opmital geometry of every species in reaction was caculated by the available gratient optimum software. The result of harmonic vibrational frequencies indicated that phenolate radical was a stable intermediale product.

根据对ClO〓氧化苯酚后的高压液相色谱图，提出了ClO〓与苯酚氧化反应的机理，并对反应机理中的速度控制步骤进行量子化学理论剖析，利用梯度优化软件计算了参加反应物种的平衡几何构型，振动频率分析的结果表明：酚氧自由基是稳定的反应中间体，利用ab initio计算软件计算了参加反应物种的总能量，酚盐负离子中的氧原子电荷密度，布居数和前线轨道。

In view of these disadvantages in the FEM model for the tire geometry, however, a new piecewise Ritz procedure is developed and presented in this dissertation for semi-analytical study of the contact problem of tire and road interaction.

针对现有的轮胎分析模型的计算量大并且不够精确的不足以及轮胎的几何结构和它的特点，本文发展了分片Ritz法进行轮胎／路面的接触问题分析。

It was supposed that the dynamic moving process of the stock price and the return was driven by Geometry Brownian Motion and the lognormal distribution respectively. Takinginto account the riskneutral environment, we got a closedform analytical formula for deferred arithmetic asian options by the method of Taylor expansion of the stochastic integral formula within the terminal payoff. Furthermore, with the series definition of the definite integral, we transferred the continuous problem into a discrete one which is simpleenough to figure out. Meanwhile we tested the accuracy of the formula with the Monte Carlo simulation as a benchmark and the result shows that the formula can be utilized to price the related financial derivatives.

在标的价格服从几何布朗运动、收益服从对数正态分布的前提下，通过风险中性定价原理，对到期损益中的随机积分进行任意次Taylor近似，并由级数定义将此连续问题离散化，给出了延期算术平均亚式期权封闭形式的解析定价公式，并与Monte Carlo模拟得到的价格作为标尺对得到的公式进行精确性检验，结果表明，所得公式可以应用到金融实务中对此类衍生品定价中。

Based on the analytical calculation of surface potential and the charge sheet approach, the current-voltage model considering both the small geometry effects and the kink effect is developed.

基于表面势的解析计算和薄层电荷方法，提出了包括小尺寸效应和翘曲效应的电流电压模型。

The common analytical method is to hypothesize the adsorption orientation, geometry configuration and adsorption essence of adsorbates on the surface of substrates based on the shift of Raman bands, enhancement or weakness of intensity.

传统的分析方法是根据拉曼峰的频移以及拉曼峰的增强或减弱来猜测吸附物吸附在基底上的吸附取向、几何结构和吸附的本质，等等。

Immanuel Kant argued that there is only one, absolute , geometry, which is known to be true a priori by an inner faculty of mind: Euclidean geometry was synthetic a priori .

康德认为，只有一个，绝对的，几何，这是众所周知的事实的先验的内在系铭记：欧几里德几何是合成先验。

The application problems mainly focus on how to solve triangle, acute triangle function, equation, inequation, function and its image, the three-dimensional image of a solid; while such knowledge as, plane geometry, solid geometry, operation of number and equation, trigonometric function equation, permutation and combination, ordered series of numbers sum, probability has no application problems.

4高中物理学习中存在运用困难的数学知识主要有函数及其图像、解三角形、锐角三角函数、方程、不等式、求函数极值、几何体的三视图等，然而，平面几何、立体几何知识、数与式的运算、三角函数公式、排列组合、数列求和、概率等知识基本没有运用困难。

The first part of the book is concerned with rings and modules, matrices over a ring, affine geometry and projective geometry over a Bezout domain.

内容包括：基本概念，群表示的特徵标，点群的表示，群代数与对称群的表示，有限群的实表示与复表示，有限群表示在群论中某些应用和有限群的模表示等。

Sphere;; affine geometry;; similarity geometry;; motion of surface;; integrable equation

论文导师屈长征，论文学位硕士，论文专业应用数学

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。