查询词典 exponential equation

In the case of simply supported ends, the Galerkin method is used to simplify the integro-partial-differential equation into an integro -differential equation. The equation is further simplified into a set of ordinary differential equations by introducing an additional variable. Finally, the numerical methods in modern nonlinear dynamics such as phase plane trajectory, power spectrum and Lyapunov exponents are adopted to investigate the dynamical behavior of the beam.

对于两端简支的情形，采用Galerkin方法简化为常微分－积分方程；然后通过引进附加变量的方法进一步简化为常微分方程；最后利用相平面图、功率谱和Lyapunov指数等非线性动力学中的数值方法识别梁的动力学行为。

From K-G Equation and Dirac equation,using 2-D invariant line element, the radius equation and event horizon formula of particles are obtained.A simpler method to the research of quantum effect of the scalar and vector particles in black hole with spherical symmetry is singgested.

分别从K-G方程和Dirac方程入手，利用简化后的二维不变线元，直接给出了粒子的径向方程和视界面方程公式，为研究球对称黑洞中标量粒子和矢量粒子的量子效应提供了一个更简单的方法。

Based on the transformation between position space and spinor space in geometric algebra system,the perturbing Kepler equation was transformed to a linear and regular form(also called Kustaanheimo-Stiefel equation or KS equation).

利用几何代数体系中的位置空间与旋量空间之间的转换关系，将摄动Kep ler方程转化为线性、正则的旋量方程，并给出Kep ler旋量方程的解。

Wave equation, heat conduction equation and Laplace's equation are the second-order linear equations.

波动方程、热传导方程和拉普拉斯方程都是二阶线性方程。

It starts from the Laplace equation of a two-phase interface, to the Young equation of three-phase contact line, as well as some modifications on the Young equation appeared in literature.

文章从介绍二相界面的Laplace方程开始，到Young提出的关于三相接触线的平衡方程，以及后来的一些研究者对其做的修正补充。

Governing equation s adopted are Stokes equation for momentum and Laplace equation for energy.

由于研究对象是小液滴缓慢的热毛细迁移过程，因而所采用的控制方程中动量方程为StokeS方程、能量方程为Laplace方程。

Making use of the fundamental solution of Laplace equation, we change the nonhomogeneous Helmholtz equation with veriable coeffients into integral equation.

利用Laplace方程的基本解，将变系数非齐次Helmholtz偏微分方程的边值问题化为积分方程问题。

First the topological relations between the unknown points and known points are built as a linear constrain, then the DSI equation group is formulated by combining Laplace equation with the linear constrain equation.

首先由待插值点与已知点之间的拓扑关系建立线性约束，进一步结合位元场满足Laplace方程，建立离散光滑插值联立方程组，采用预条件共轭梯度求解该方程组。

By the least common denominator of all denominators in the equation to transform it into an integral equation;（2）Solve the integral equation

一次函数y=kx+b有下列性质：当k＞0时，y随x的增大而增大，这时函数的图象从左到右上升：当k＜0时，y随x的增大而减小，这时函数的图象从左到右下降。

Content: By learning this course, students should grasp the elementary solution of first order differential equation, the structure theory of linear differential equation or system of linear differential equations and the solution of constant coefficient differential equation or system of constant coefficient differential equations.

主要内容：通过对本课程学习，使学生掌握一阶微分方程的初等解法、线性微分方程的结构理论和常系数方程的解法，对微分方程初值问题的一些基础理论有一定的了解，对

Panorama Many people are dancing in a large sitting room.

在一个大客厅里，许多人在跳舞。

We fully understand how a microwave oven cooks food, it is first necessary to talk ...

我们充分理解一个微波炉煮的食物，这是首先要谈。。。