解析的

Also,it gets the conspectus of the modern numerical analysis methods about the problems of rock mass project.

由于经典力学对解析解的设定非常严格，使其用于岩体工程的求解极为有

Analytical solution of Smoluchowski equation, which diffusive term is constant and potential is Harmonic Oscillator form, is obtained.

给出了扩散项为常数，漂移项为谐振子位势形式的Smoluchowski方程的解析解。

In this paper, the analytical solution of Smoluchowski equation, of which diffusive term is constant and drift term harmonic oscillator potential (including the well and the barrier potentials), is derived from a simple Gaussian distribution in a easy and wizard method.

当扩散项为常数、漂移项为一维谐振子势(包括谐振子势阱和谐振子位垒)的情况下，得到Smoluchowski方程的解析表达式。

Applying the Euler method to the equation and particularly using the interpolation technique on variable delay, the Euler approximation is obtained. The discrete Euler approximation is extended to the continuous Euler approximation. It is proved that the Euler numerical solutions will converge strongly to the true solution under the local Lipschitz condition.

对方程应用欧拉方法，特别地对变延迟部分运用插值技巧进行数值离散后，将离散的欧拉格式延拓为连续的欧拉格式，从而得到欧拉格式在局部Lipschitz条件下强收敛到解析解。

It is shown that the number of dominant eigenvalues for a continuous random process in with bandwidth is with the aid of the continuous Karhunen-Lo è ve Expansion.

本文利用卡亨南—洛厄维展开对观测时间、带宽为的限带谱连续随机过程进行展开，得到其特征谱的解析表达式，即大特征值个数为。

In chapter four, the discussion of technique and analysis of works are eating and rest, dualistic contrariety, dualistic concordance, and ash of ground.

第四章讲述我的创作材质技法与不同时期的作品解析，分别为-食土息灰、二元冲突、二元和谐与大地之灰。

In this paper, self-orthogonali zation was used to speed up the convergence rate of transform domain adaptive le ast-mean-square algorithm, and the analytical expression of system bit e rror rate was deduced.

但由于必须通过迭代收敛达到稳态解，自适应滤波算法不能锁定快变干扰。文中利用正交加速算法提高最小均方误差算法的收敛速度，推导出了使用变换域自正交加速算法时系统误码率的解析表达式。

We discuss some foundational properties of the convex function.

随后介绍凸函数的几何直观描述、解析定义和凸函数的重要性质。

By virtue of inverse Fourier transform and convolution theorem, a semi-analytical solution for the velocity response of a pile subjected to a semi-sine wave exciting torque is obtained in the time domain.

进一步根据桩土接触面上的位移、应力连续条件，求解了桩身动力平衡方程，在频域内得到了桩顶动力响应的解析解。

Via the stochastic averaging method, the four-dimensional system is reduced to a two-dimensional one. Through the logarithmic polar transformation , and then Girsanov theorem and Feynmann-Kac formula, the backword differential operator is then obtained. By expanding the eigenfunctions as a Fourier cosine series, the approximate analytic expansion of the moment Lyapunov exponent is then obtained.

首先在经典二元机翼颤振方程加入随机激励，通过随机平均法，Girsanov定理和Feynmann-Kac公式得到关于矩Lyapunov指数的特征值问题，其次采用Fourier余弦级数对特征函数进行正交展开得到系统矩Lyapunov指数的近似解析式。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。