查询词典 differential calculus

After reviewing the basic concept of general relativity, this introduction discusses its mathematical background, including the necessary tools of tensor calculus and differential geometry.

在审查了广义相对论的基本概念，讨论了其今年推出的数学演算，包括张量和微分几何的必要工具的背景。

The part of calculus that deals with the variation of a function with respect to changes in the independent variable by means of the concepts of derivative and differential.

微积分学中有关用导数与微分的观念讨论函数随独立变量改变的部分。

Applying theories of Vector geometry and differential calculus, this paper aims to infer the internal force and geometry equations for curved beam, whose axis curve is parabola and being distributing-load.

目的 对形心轴线为二次抛物线形曲线梁的内力、几何方程进行理论分析与公式推导。

Differential Vector Calculus.

向量微分计算。

Numerical and vectorial analysis Differential calculus: multivariable functions.

数值和矢量分析微分：多变量函数。

This dissertation is changed into two parts. The first part, the theory and application about Wu-Ritt differential characteristic sequence method are discussed, which involves the theories of differential equations, abstract algebra and computer algebra etc.

本文共分两部分，第一部分讨论微分特征列法的理论和应用问题，涉及到微分方程，抽象代数，计算机代数等重要学科。

In addition also introduced the differential theorem of mean in the proof equality and the inequality, the certificate equation root existence, asks the limit, to ask the approximate value, as well as aspect and so on research function condition should thus deepen to the differential theorem of mean understanding.

此外还介绍了微分中值定理在证明等式和不等式、证明方程根的存在性、求极限、求近似值，以及研究函数性态等方面的应用，从而加深对微分中值定理的理解。

In this paper, the adjointness of the product of two differential operators generated by a third order normal and singular symmetric differential expression in the limit-circle case is discussed. The necessary and sufficient conditions which make the product operators being the adjoint operators obtained by the matrix analysis and calculation. At the same time, the adjointness of the product of the power and adjointness operator obtained.

本文首先讨论了正则和奇异两种情况下两个极限圆型三阶对称微分算式生成的微分算子的乘积的自共轭性，运用矩阵分析和计算，得到了乘积算子为自共轭算子时边界应满足的充分必要条件，同时得到了幂算子的自共轭性、自共轭算子乘积的自共轭性等乘积算子的其它若干性质。

Because of error by dispersing albinism differential equation, the response of difference equation is changed relative to differential equation.

由于离散化引入了误差导致白化微分方程和差分方程的响应发生了变化。

Main contributions and achievements are as follows:A general non-equilibrium rigorous model for RDP is developed in this thesis. Based on the pseudo-homogenous assumption, two main factors reaction and separation are de-coupled, and an RDP model with the same format as that for a traditional distillation process is established. To solve the model with a large number of algebraic equations, modified M-K equations with tri-diagonal matrix form are developed based on the improved Separation Efficiency Functions, which greatly increases the iteration efficiency. This thesis also develops a general reactive distillation dynamic model. Through splitting of the differential variables based on SEFS, large-scaled differential algebraic equations can be solved with the improved Gear's algorithm which makes the dynamic model suitable for the on-line application. A simulation platform for the control loop design and evaluation of RDP by introducing control system equations into the dynamic model is also developed.A lactic acid purification pilot-scale RDP is investigated.

论文对热点问题——反应精馏过程的建模与优化控制相关技术进行了深入的研究，取得了一系列成果：1、建立了反应精馏过程机理模型，基于拟均相假设，将反应和分离过程进行解耦，推导出反应精馏过程的非平衡级稳态模型和动态模型，通过引入推广的分离效率函数，对模型变量进行了合理划分，显著提高了模型求解效率；将动态模型和控制系统方程结合，建立了反应精馏过程控制系统研究的辅助工具。2、全面分析了乳酸提纯反应精馏新工艺试验装置，利用本文建立的过程机理模型，对该试验装置进行了稳态和动态性能分析及水力学核算；设计和分析了单边质量控制方案，比较了间接和直接物料平衡控制两种方案的控制性能。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。