查询词典 algebraic equation

Using algebraic methods which include extended Tanh-method,some new solitary solutions to the DBM and Log-DBM equation,such as singular solitary solutions,double singular peakon solitary wave solutions,double solitary wave solution with peakon and singular periodic solitary wave solutions are obtained..With the aid of an auxilitary function combined with the elliptic integral of the first kind,periodic solitary solution,singular and periodic singular solitary solutions can be obtained.

第三章利用扩展的Jacobi椭圆函数展开法研究了方程，并给出ZK-MEW方程的Jacobi椭圆函数解，特别的，当模数m→0和m→1时，其中一部分解退化为三角函数解和孤立波解；其次使用sn-cn拟设法，研究了K(k，s，1)方程，得到了k=s=3时的新的精确解，并在模数m→0和m→1时得到了丰富的三角函数和孤立波解。

Each new kind of number has presented itself as the root of an equation that we were supposed to solve, and with the introduction of each number the power and generality of our algebraic method was increased.

每一种新的数，都是我们想解答的方程的根的代表。而随着每一种新的数的出现，我们的代数的功能和适用性都得到了增强。

A new method of obtaining one real root of algebraic equation which is based on the training of single-layer neural network, using the improved rule of is proposed.

提出一种以单层神经网络为基础，利用改进的δ规则进行训练，从而求得实系数代数方程一个实根的新方法，给出了改进的δ学习规则的数学推导和求解代数方程的SNN（Single－layerNeuralNetwork）学习算法，并利用该方法求解了大量代数方程，实验结果表明该方法是有效可行的

Ttingen from 1795 to 1798; for his doctoral thesis he submitted a proof that every algebraic equation has at least one root, or solution.

支持型父母的孩子所感到的快乐程度高于平均水平，但学习或做事时却不是那么高度集中精力。

In this paper, the author proves that the generalized Newton's method for finding me roots of an algebraic equation converges to the root, real or complex , nearest to the starting point. A tabulation method is then devised and used in four illustrative examples.

在本文内，作者首先证明了求代数方程根的推广牛顿法收敛于离出发点最近的一个根，其次设计了一种简单的列表计算法，最后通过四个例题说明用这种方法可以逐步接近代数方程的实根或复根。

But the equivalent computation of algebraic equation must be performed to get state variables corrections.

但是，这些算法中的大多数是在实时潮流计算的基础上，利用其中间结果和线性系统的叠加原理，直接求解出事故后的状态变量，都需要通过网络方程求解整个网络状态变量的增量，计算量较大，难于满足紧急状态下快速安全性评估的实时性要求，国内外一系列因静态潮流问题引起的大停电事故就是例证。

As we know, the resulting algebraic equations are large systems of non-linear equations with the expanded mixed finite element method for the equation.

用扩张混合有限元方法对其进行离散是常用的方法，其离散化所获得的代数方程组是一很大的非线性方程组。

In Chapter 3,the exponential stability and its algebraic criteria for a linear degenerate functional differential equation is discussed.

第二章在n维空间中讨论了中立型多时滞泛函方程的通解表示和指数稳定性，得到与一维空间中类似的结论。

In Chapter 4,we study further the exponential stability and its algebraic criterion for a linear neutral degenerate functional differential equation.

第三章考虑了一类线性退化多时滞泛函微分方程，给出了解的指数稳定及其指数稳定的代数判据。

In the case ofreflectionlessness,after determining the gauge transformation,expressions of multi-soliton solutions of the L-L equation with an easy plane are obtained explicitly bysolving the linear algebraic equations with the aid of the well-known Binet-Canchyformula.

由于要克服因Jost解在参数趋于无穷时不独立于L-L方程的解的困难，必须引进规范变换，这是不涉及微分方程的Riemann问题方法无法解决的。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48