查询词典 compatible system of algebraic equations

By use of the system of the equations, large deflection of an elastic cantilever subjected to a concentrated force at its tip is analyzed and some comparison between the system of equations of the geometric central axis and those of the neural axis is made.

结果表明，当载荷较小时，2种理论计算出的弹性大挠度悬臂梁的变形曲线差别很小；而当载荷较大时，2种理论计算出的弹性大挠度悬臂梁的变形曲线存在比较明显的差异。

Based on the water environment spatial data mining and visualization method, the paper presents these main characteristics and innovations:①Measurement of contamination fluxes:A scene-based research strategy is proposed:measurement /water quality analysis→flow field simulation→contamination transformation rule→fluxes scene simulation→temporal-spatial rule analysis.②Serial numerical models of water environment in the Qiantang River:The controlled equations of the flow field model of the main river,united controlled equations of the main contamination fluxes and water quality prediction model at emergent time are set up.③GIS-based water quality and contamination fluxes decision-making assistance system:A water environment database has been set up;based on MapX and C#.net platform,a system has been developed to facilitate visual inquiry,decision-making and graphics export.

本文基于水环境空间数据挖掘与可视化的研究方法与体系，研究中的主要特色与创新点为：①河流污染物通量测算的技术与方法：提出了基于工况测量/水质分析→流场模拟→污染规律解析→通量情景模拟→时空规律分析的研究方案；②钱塘江水环境模拟系列数学模型：建立了钱塘江干流研究区域流场数学模型的控制方程、主要污染物通量模型的联合控制方程、突发污染事故水质预报模型的基本方程；③基于GIS的水质预报与污染物通量决策支持系统的研发：建立水环境时空数据库，基于MapX和C#。net平台进行系统的构建与开发，为研究的系列成果提供可视化的查询、决策与图形输出。

We develop his ideas by finding some algebraic invariants under the adjoint actions of the group in addition to the Killing form and give a rigorous proof of the optimality of the one-parameter systems for the symmetry group of the given equations.

本文系统地研究了1+2维非线性发展方程的对称代数，证明了该方程容许一个七维李点对称群，利用Olver提出的方法，详细地建构了1+2维非线性发展方程的一维最优系统，在此基础上我们发展了他的方法，发现了除Killing型之外的其它六个在群伴随作用下的代数不变量，利用这些不变量证明了该最优系统的最优性。

They are studied for their global properties by the methods of algebra and algebraic topology and form a natural domain for the global analysis of differential equations.

它们的整体性质用代数和代数拓扑的方法进行研究，并且形成微分方程式的整体分析的一个自然的领域。

They are studied for their global properties by the methods of algebra and algebraic topology and form a natural domain for the global analysis of differ tial equations.

它们的整体性质用代数和代数拓扑的方法进行研究，并且形成微分方程式的整体分析的一个自然的领域。

Which consists of three ordinary differential equations and one algebraic constraint equation.

最后对一个实例作了数值分析，其计算结果与实验数据得到了较好的符合。

Method of Moment is a method which can discretize continuity equation into algebraic equations, and it is one of the most popular methods in analyzing the electromagnetic radiation and scattering problems.

矩量法是一种将连续方程离散化为代数方程组的方法，是分析电磁散射与辐射题目最流行的算法之一。

Fourier analysis is used to cast the considered non-linear wave problem with unilateral Coulomb frictional boundaries to a set of algebraic equations with a simple form.

利用Fourier分析方法将非线性Coulomb摩擦接触边界波动问题化为一组代数方程。

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。

Manifolds occur in algebraic geometry, differential equations, and classical dynamics..

流形出现于代数几何、微分方程式和经典动力学中。

The use of the web to spread fears that flicking the switch on the LHC could create a Black Hole that could swallow up the Earth particularly concerned him, he said.

他说，使用互联网散布恐慌说启动LHC会生成一个可能吞噬地球的黑洞的做法让他感到忧虑。

Not a single word have I written down.

我一个字也没有写下来。