查询词典 simultaneous equations

Om the subatom microcosmic particles to the integrated big universe, assimilating to the turbulence field sufficing Navier-Stoke Equations of hydrodynamics, this paper has put forward a series of fully different viewpoints with the modern physics, under the foundations, established the Astro-Unitive Field Equations.

对宇宙物质的认识，从微观亚原子粒子到整个宇宙，与流体力学的服从Navier-Stokes方程的湍流场比拟，本文提出了一系列与当今物理学绝然不同的观点，在此基础上，建立了宇宙统一场方程。

Through(9),the first four equations are taken from the open literature and the last five equations are derived by us;under subtopic 1.2,we point out that eq.

但是这个度量以相同的权重平均化了随机变量的左尾部所包含的所有结果，并没有表现出投资者对高风险的真实态度。

Firstly,the coordinates of suspension points on the side rope sling can be obtained in two-dimensional plane by the suspended-cable equations,and their ordinates are corrected by the moment equations,then the lengths of antenna wire segments are determined.

在二维平面内应用悬垂线方程式计算边吊索上各悬挂点的坐标，应用力矩公式修正以上计算结果，确定各振子线的长度。

In this paper, we give the method of solving the partial differential equations with the combine use of symbolic and numerical method, which is a new way of solving the extremely complicated partial differential equations.

本文作出了将符号计算方法和数值计算方法结合起来求解偏微分方程的研究工作，这是求解比较复杂的偏微分方程的新途径。

By the properties of k-th order symmetric function , we obtained some estimations of integral mean value of the solutions of the boundary value problems for some kind of special partial differential equations in Dk which can be changed into Laplace equations in the unit circle by way of suitable transform .

另外，D_k上的某一类特殊的偏微分方程经过适当变换后转化为单位圆上的Laplace方程，其边值问题的解的积分平均估计可由k次对称化函数的性质较好给出。

Firstly, kinetic energy and potential energy expressions are obtained by a series of derivation, considering the extrinsic momentum. In the symplectic system, control equations of longitude and transverse coupling vibrations of rotating elastic structures, or Hamilton canonical equations are described. So the solution of the problem is boiled down to the eigenvalues and eigensolutions in the symplectic space.

首先，从能量的观点出发，通过一系列的理论推导，给出旋转结构的动能和势能表达式，并考虑外动量的影响，从而得到在辛体系中描述旋转结构纵向和横向耦合振动的控制方程，即哈密顿正则方程，于是将问题归结为辛几何空间的本征值和本征向量问题。

The finite difference method is applied to reduce the system of partial differential equations to ordinary differential equations.

采用有限差分方法，将由偏微分方程组描述的空间连续系统约化为由常微分方程组描述的空间离散高维动力系统。

This thesis first proposes the idea of EM in view of the drawbacks existing in traditional modeling methods. The main approaches and the general procedure of EM are described and the recent work of GP is surveyed using a taxonomy. Secondly, in terms of model types, the EM problem of complex functions, the EM problem of system of ordinary differential equations and the EM problem of higher-order ordinary differential equations are studied in detail. Finally, some advantages and disadvantages of the EM method are summarized at the end of this thesis.

本文首先针对传统建模方法的不足，提出了演化建模的思想，阐述了演化建模采用的主要方法和一般步骤，并分类概括了遗传程序设计目前的研究内容；然后，按照所建模型的类型不同，分三章详细研究了复杂函数的演化建模问题、常微分方程组的演化建模问题以及高阶常微分方程的演化建模问题；最后，本文对演化建模的主要特点和目前存在的主要问题作了概括和总结。

So called reservoir is physical or mathematical; for a physical system, the mathematical model is a system of partial differential equations with related initial and boundary value conditions, it can describe important physical process occurring in the system, for example, the process occurring in reservoir, which mainly concludes flow of fluids and transportation of mass, gravity、 viscosity、compressibility have effect to it; differential equations describing this process are obtained by combining Darcy law of every phase and its mass equilibrium in differential form.

这种模型是物理的或数学的；一个物理系统的数学模型，是偏微分方程组和适当的一组初、边值条件的总体，它能够描述在系统中发生的重要的物理过程，比如在油藏中发生的过程，主要是流体的流动和质量的转移，重力、粘滞力、压缩性等在流体流动过程中都是起作用的；描述这个过程的微分方程是由将各相达西定律和各该相的微分形式的物质守恒相结合而得到的。

In the method of numerical analysis, the spatial part of equation system in strong conservation form is first discretized by conventional central finite-difference approximation and then the system of partial differential equations becomes a system of ordinary difference equations.

本文所建数值方法的基本空间离散格式是中心差分，并用源于Jameson的标量耗散模型抑制数值波动；采用经典四阶龙格—库塔法积分经过空间离散后得到的常微分方程组当残差足够小时的解为稳态解。

That's what makes this mod unique.

这也正是这个MOD独特。

I now feel furious and want to do something.

现在我觉得非常气愤，想做点什么。