求解

In the view of complex algebraic expression of 3D point from the positioning model of binocular vision, according to the independence of imaging-model-parameters, a method of single-parameter analysis positioning errors was proposed to facilitate the simulation.

针对视觉定位模型求解空间点表达式复杂的问题，为便于仿真，根据成像模型参数的相互独立性，提出了一种单参数分析定位误差的方法。

And the induced normal curvature along the normal of contact line between the worm and the planet is obtained. The algebraic expression of the induced normal curvature at the top point of the ball-tooth is given.

另外，对行星轮与环面蜗杆沿接触线法线方向的诱导法曲率进行了求解和分析，给出了诱导法曲率在球齿齿面顶点时的代数式显式表达。

Wu, Hu, and Wang independently put forward factorization algorithms over successive algebraic extension fields based on methods of equation solving.

为了解决这一问题，吴文俊，胡森、王东明分别提出了基于方程求解的多个扩域上的因式分解算法。

Since the method does not need to derive the concrete form of the transformation matrix, making it simple and easy to calculate the results to the eigenvalue problems of the Hamilton with symmetrical form. This algebraic methods is more universal and more effective.

由于该方法不需要求出变换矩阵的具体形式，使得运用此方法求解具有对称形式的Hamilton量的本征值问题变得简单、易计算出结果，该方法更具有普遍性，是一种十分有效的代数方法。

Put the discrete algebraic equations of initial derivative conditions and algebraic equation system of governing differential equation together to form a new algebraic system.

采用重心Lagrange插值近似未知函数，推导了未知函数各阶导数微分矩阵的显式表达式，建立了求解二阶常微分方程初值问题的重心Lagrange插值配点法。

Chapter 1 gives a brief introduction to basic contents and methods of system identification and solutions of certain prob— lems met during the process of identificationIn chapter 2, the identification is accomplished by transforming the linear differential equation of a dynamic system into an algebraic form via block pulse functions .

第二章介绍采用正交函数BPF将含有未知参数的系统线性微分方程转化为代数向量方程求解，获取表征系统特性的传递函数或微分方程参数而达到辨识目的。

The relationship between stress and strain of concrete in prestressed concrete bridge s is written as algebraic form within load duration and the equilibrium equations of internal force and compatibility conditions are introduced.

首先将预应力混凝土桥梁中考虑收缩、徐变影响的任意时刻混凝土应力、应变关系在持荷时段内写成代数形式，引入内力平衡方程及变形协调条件后，提出了计入截面上钢筋位置、配筋率、预应力钢筋松弛、混凝土弹性模量随时间变化等影响的徐变效应分析的全量形式自动递进法，并建立了计算式，适用于任何形式的收缩、徐变特性表达式；基于建立的全量形式公式，可方便地求解任意时刻混凝土、钢筋的应力与应变和梁体竖向变形。

First,the basic formulas solving the artificial earthquake wave compatible with object response spectra are established;the integration equations are translated into the algebraic equations by interpolation function.

首先，从单质点系在地震作用下的反应出发，直接推导了求解与目标反应谱拟合的人造地震动基本公式；随后，利用插值函数将积分方程变换为代数方程组，进而从反应谱的变分求得人造地震动的时域变分。

Apparently, this formulation is also applicable to the algebraic structure whose number of generators is more than three.

对于哈密顿量生成元多于三个的量子系统，也可以用不变量理论精确求解并研究几何相因子和相关问题。

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。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。