查询词典 dependent equations

Divide the whole region D into finite units and corresponding link points may be obtained. Constructing the equation of variation calculation about every element leads to the finite number of equations. Further more, algebra equation group for general synthesis are gained by adding these finite number of equations, that is,{T}={P} where is the coefficient matrix of the equation group, or say the temperature rigidity matrix,{T} is the row vector of unknown temperature and {P} is the row vector of the terms on the right side of the equation.

然后将整体区域D划分成有限个单元并得到相应的有限个节点，从而可以得到关于每个单元的变分计算方程，将这有限个方程相加就得到了总体合成的代数方程组，即{T}={P}，其中为方程组的系数矩阵，也称温度刚度矩阵，{T}为未知温度值的列向量，{P}为等式右端项组成的列向量。

In the analysis, a nonlinear wave vibration equation of the thin cylindrical shell including damping and items due to geometric nonlinearities was established and then transformed by Galerkin's method. With different combinations of modes different nonlinear differential equations in modal coordinates were obtained. The Runge Kutta method was used to solve the equations numerically and some features of nonlinear wave vibration were discussed.

在研究过程中，首先，考虑阻尼并引入几何非线性项，建立薄壁圆柱壳的非线性波动方程，然后，采用Galerkin方法对波动方程进行转换，选取不同的模态组合，得到相应模态坐标下的非线性微分方程，最后用Runge-Kutta法进行数值计算并对圆柱壳的非线性波动振动特性进行了分析。

Firstly,using the method of concentrate mass this paper establish a non-linear dynamics model of a two-stage gear train with backlashe between the gear pair,and through analysed the dynamics model,the torsional motion differential equations are got , on this basis,then calculate the torsional motion differential equations using Runge—Kutta method ,and discuss how to influence the dynamics characteristic of system when these parameters chage such as mesh frequentcies、 stiffness of the intermediate shaft、the ration of mesh frequentcies.and discuss when the chaos will happen under the change of these parameters.

首先用集中质量法建立系统的含间隙的非线性动力学模型，并根据牛顿力学定理，得到系统的运动微分方程。然后对所建立的运动微分方程运用四阶变步长Runge—Kutta方法进行了求解，并对计算结果进行分析，研究了齿轮啮合频率、中间联接轴的刚度，一、二级齿轮的啮合频率比等参数变化时，对系统非线性动力学特性的影响规律，并讨论了当参数如何变化时会导致系统的混沌响应的出现。

Why do Maxwell's equations differ in form and character from the equations of classical mechanics?

麦克斯韦方程何以在形式上和性质上都跟经典力学中的方程不同呢？

The second part is devided into two chapters, it\'s main aim is to study the global solutions to 1-d compressible Navier-Stokes equations, and it is organized as follows:In Chapter 2, we introduce the second boundary value problem for the compressible Navier-Stokes equations in the half space.

第二部分分为二章，主要讨论一维可压Navier-Stokes方程整体解的存在性，其中：第二章讨论了不可渗透问题(流体的速度在边界上为0情形)，其中对温度给出了第二边值条件。

We reproduce the well-established and self-generated magnetic field equations, which are nonlinear partial differential equations.

我们证明该非线性偏微分方程具有塌缩波解，并用标准的数值方法解此方程来验证分析结果。

This thesis is concerned with the existence of solutions of semilinear evolution impulsive equations as well as the existence of positive solutions of them. And the existence of solutions for terminal problems of impulsive differential equations is also concerned in this thesis.

本文主要研究半线性发展脉冲微分方程解和正解的存在性，以及脉冲微分方程终值问题解的存在性。

After neglecting the background losses, the rate equations describing the compound system can be changed into a set of algebra equations.

利用这些结果分析了系统的一些特性，比如耦合器的分光比和不同泵浦功率对输出功率的影响等。

In SHET, equations which represent relation of fundamental component and preparatory eliminated harmonic components are a system of nonlinear, transcendental equations that require the interative Newton-Raphson matrix method for its solution, and convergence in solution depends on whether or not starting value given is right.

特定消谐技术中，表征基波及各次谐波幅值与开关角关系的方程组为非线性超越方程组，一般只能采用牛顿迭代法等数值方法求解，而解的收敛性取决于所给初值的正确与否。

In order to probe the absorb coefficients of earth medium by the direct wave, reflected wave and transmied wave amplititude which are picked up from the radar wave racords yielded by finite element method,the paper gives out the attenuated radar wave equations in time domain and the attenuated radar wave differential equations while the motion changes simple harmonic with time and electric parametets change slowly with space.

摘 要 为了用有限元方法生成雷波正演记录，从而拾取直达波、反射波、透射波振幅信息，以确定介质吸收系数，文章在时间域给出了雷达波含衰减项的波动方程，及在运动随时间简谐变化以及电性参数随空间缓变的条件含衰减项的雷达波遵循的简化微分方程。

We stopped by the old fashion ice cream parlor Manhattan Beach Creamery for some refreshment. The "No Shoes, No Shirt, No Problem" sign on the wall epitomizes the beach lifestyle.

我们去商店区的一家老式冰淇淋店坐坐，墙上挂著「没鞋，没上衣，没问题」的牌子完全捕捉了海滩生活的随性及风格。

"If therefore", argues Bellarmine we can offer our prayers and our satisfactions in behalf of those detained in purgatory, because we are members of the great body of Christ, why may not the Vicar of Christ apply to the same souls the superabundant satisfaction of Christ and his saints--of which he is the dispenser?

" "因此，如果"，认为贝拉明（德indulgentiis ，十四）"我们可以提供我们的祈祷和我们满意的代表那些被拘留在炼狱，因为我们是成员的伟大基督的奥体，为什麼可能不是牧师基督适用於同样的灵魂满意的过剩是耶稣和他的圣人-他是在配药？