查询词典 nonlinear equation

A pressure correction equation is established by use of the finite volume method on nonorthogonal collocated grids, and its algebraic form is also given. The equation is applied to simulation of the flow field in an equilateral cavity and an inclined cavity with a tilt angle of 45°.

利用有限体积法建立了非正交同位网格系统中的压力校正方程，详细给出了压力校正方程的离散形式，并对正方腔及倾斜角为45°的斜方腔内流场进行了数值模拟计算。

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。

The traditional method is to transfer the differential equation into the algebraic equation via orthogonal function. This paper adopts the advantage of Slant function including:(1) The characteristic that Slant operational matrix of integration changes fast can simplify the question.

传统的特性技巧是透过正交函将微分方程式转换为一个代方程式，本文采用其优点有：(1)用Slant 积分运算矩阵快速转换的特性可以简化问题。

The hybrid model is a combination of non-linear algebraic equation group and differential or difference equation group, and possesses the ability to integrate equations in inhomogeneous expression form.

本课题抓住这一前沿研究，从经验知识与经验数据的综合利用入手，对软测量模型的结构、模型构建方法以及软测量系统的关键技术进行深入研究。

According to algebraic number theory,all solutions of Pocklington equation in a ring of integers of a quadratic imaginary field are determined,which implies that the equation has only several solutions in the ring.

利用代数数论的理论与方法，决定了一个重要的不定方程在一个特殊的虚二次域整数环中的解，从而指出这个方程在比整数环更大的环中也仅有有限个解。

A continuous equation, three momentum equations are set up for each phase, and the algebraic equation with sum of volume rate amount to one is set up in this model.

该模型针对每一相都建立了一个连续性方程、三个动量方程，并建立了一个体积率和等于1的代数方程。

If the surface isrepresented by an implicit algebraic equation,the mapping can be constructed bythe theory of parametrization of algebraic surfaces;If the surface is represented byan parametric equation,the parameter values on the parameter plane can be solvedby numerical method or Grobner Basis method.

若曲面由代数隐式方程给出，可通过代数曲面参数化理论构造映射；若曲面由参数方程给出，可通过数值方法或Grobner基方法求解参数型值点。

An analytical coupled water-energy balance equation at arbitrary time acale was derived by dimension analysis and mathematical derivation. The equation has only one parameter.

本文通过量纲分析和数学推导得到能用于任意时间尺度上的水热耦合平衡方程，该方程含有唯一参数。

From energy balance equation, using micro-piece analytical method, heat balance equation for high power fast axial flow CO〓 laser tube is established with the boundary conditions of actual fast axial CO〓 laser, the analyzed solution of the temperature distribution in the laser tube is obtained.

并应用热传导的物理边界条件，求出了热能平衡方程的解析解，得到了实际器件放电管横截面内的气体温度分布公式及温度分布曲线，并求得了激光功率变化对热致负透镜焦距的影响关系式。

It is generally difficult to get analytical solutions of the stochastic differential equation's water quality model. What is more, as to the issue like the initial boundary result of a convection-dispersion equation, it is even more difficult to change the random factors into the uncertainty.

NSFEM法是把Neumann展开式引入以解决矩阵求逆的效率问题，如果对每一次随机抽样，只需形成刚度矩阵，进行前代、回代以及矩阵乘和矩阵加减，而无需矩阵分解，则可大大减少工作量。

I think people in this lifetime in a rebirth.

我觉得人在这一生里其实也在轮回。

He had to tie her hands together.

他不得不把她的双手绑在一起。