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The main contents and the contributions are as the follows:(1) The general form of the movement equations in terms of Taylor series is derived, for the first time the movement equations of electric power system is expressed by matrices, the characteristics of the coefficients of Taylor series is studied.

所得的主要研究成果如下：（1）推导了电力系统运动方程的高阶泰勒展开的一般形式，首次将电力系统状态方程的泰勒展开用矩阵表达，研究了泰勒展开系数的特性。

Lastly,we present an algorithm to isolate real roots of a univariate spline, i.e., computing asequence of disjoint intervals such that each of them contains exactly one real root of agiven spline function, which is primarily based on the use of Descartes\' rule of signs withits B-spline coefficients and de Casteljau algorithm of B?

最后，基于B-样条系数的Descartes符号准则和Bézier曲线的de Casteljau算法，我们给出了一元样条实根分离算法，也就是计算出一列不相交区间，使得每个区间恰好只包含此样条函数的一个实根。

Lastly,we present an algorithm to isolate real roots of a univariate spline, i.e., computing asequence of disjoint intervals such that each of them contains exactly one real root of agiven spline function, which is primarily based on the use of Descartes rule of signs withits B-spline coefficients and de Casteljau algorithm of Bzier curve.

最后，基于B-样条系数的Descartes符号准则和Bézier曲线的de Casteljau算法，我们给出了一元样条实根分离算法，也就是计算出一列不相交区间，使得每个区间恰好只包含此样条函数的一个实根。

By transforming the delayed neural model to the describer model and then employing the Lyapunov-Krasovskii stability theorem, linear matrix inequality LMI technique, S procedure, and some algebraic inequality method, a new sufficient condition is derived, which is determined by the coefficients of the model and includes more tuning parameters for determining the globally asymptotical stability of recurrent neural networks with time-varying delay.

首先将要研究的模型转化为描述系统模型，然后利用Lyapunov-Krasovskii稳定性定理、线性矩阵不等式技术、S过程和代数不等式方法，得到了确保时变时滞递归神经网络渐近稳定性的新的充分条件，并将它应用于常时滞神经网络和时滞细胞神经网络模型，分别得到了相应的全局渐近稳定性条件。

Negative coefficients occur where there is a downward decrease in velocity and density: for example, at the top of an over pressured shale diapir

只有当速度和密度向下减少时，例如在超压页岩穿刺体的顶部，反射系数才会出现负值。

Further, when the coefficients are smooth, the solutions form a stochastic diffeomorphism flow.

而且，若系数是光滑的，则方程的解形成一随机微分同胚流。

Using this method, we obtain the difference equation with variable coefficients and a fixed order.

使用这种离散方法，我们得到变系数但不变阶的差分方程。

Mathematics and Physics in the 19th century, another major achievement - Fourier analysis of the development of the simulator played a direct role in promoting. The late 19th century and early 20th century, have made a variety of computing the Fourier coefficients of the differential analyzer differential analysis reconciliation and so on.

19世纪数学物理的另一项重大成就——傅里叶分析，对模拟机的发展起到了直接的推动作用。19世纪后期和20世纪前期，相继制成了多种计算傅里叶系数的分析机和解微分方程的微分分析机等。

Because the equation is a various coefficients second-order parabolical partial differential equation,explicit difference formats usually have high condition for stability. Implicit difference formats have good stability,but they must calculate a set of algebraic equations,which are too complex.

由于泥沙扩散方程是一个二维变系数的抛物型方程，对于多维的方程，显格式往往稳定性要求很高，而隐格式虽然稳定性较好，但它要解大型的代数方程组，工作量也非常大，为了克服这两种格式的不足，常用ADI法求解，但仍存在一些计算量偏大等不足之处，因此构造出更好的差分格式是有必要的。

A new fast algorithm for calculating the coefficients of ideal digital fractional differentiator is presented.

提出了一种理想数字分数微分器系数的快速算法。

This is the inheritance of the tribe of the children of Issachar according to their families, the cities and their villages.

19：23 这些城并属城的村庄就是以萨迦支派按着宗族所得的地业。

I've have enough of your garbage.

我听了你的废话。