计算多项式

Analysis of the computational complexity and error probability proves that CRISA is efficient in most motif finding problems.

理论分析表明，对于绝大多数模式发现问题，CRISA具有多项式的计算时间复杂度和线性的空间复杂度。

The other is called Householder transformation method, in which the matrix of inconsistent equation group is orthogonalized and triangulated using Householder transformation, and then the Zernike coefficients can be worked out by using a backsubstitution technique. It is proposed for the first time. Being a method that can avoid the computational error effectively and can be easily performed, it has proven to be a feasible and efficacious algorithm.

特别是第二种方法由本文第一次提出，它避免了构造法方程组，从而避免了以前的方法因构造的法方程组出现严重病态而引入的计算误差，并且易於编程，因而是一种比较理想的实现Zernike多项式拟合的算法。

This paper studies a class of cubic system with planar polynomial.We use the qualitative theory of ordinary differential equations method of analysis, reached the following conclusions of four parts: First, we analyze the quality of all critical points of the system,and draw the conditions of existence of singular integrals for the system , in front based on the analysis, using Pioncare form series method to calculate the focal value of o(0,0). Finally, we also study the behavior of critical points at infinity.

中文摘要：本文研究了一类平面三次多项式系统，我们采用常微分方程的定性理论的分析方法，得出如下四个部分结论：第一部分，分析系统所有奇点的性态，并得出系统存在奇异积分直线的条件；在前面分析的基础上，用Pioncare形式级数法，计算出了系统在奇点o(0，0)的三个焦点量；最后，研究了系统无穷远奇点的性态。

The principle of the fractal-interpolated surface was discussed. The formula and the theorem of fractal dimension of the fractal-interpolated surface were analyzed. The numerical analysis of height anomaly fit by the fractal interpolated surface and the result comparison with the quadric polynomial surface model with practical data were given.

本文论述了分形插值曲面的原理，分析了分形插值曲面的计算公式，讨论了分形插值曲面的维数估计方法和公式，用实际数据进行了分形插值曲面拟合高程异常的数值分析以及与二次多项式曲面拟合模型结果的比较。

The matrix elements of SU(1,1)displacement operator in theirreducible representation space are obtained.

这种表达式比以往的级数表示形式和拉盖尔多项式表示形式更加方便和简洁，易于进行数值计算。

Furthermore, the integer programming method is exploited as the mathematical tool for the generation of a polynomial algorithm producing the optimal set elementary siphons.

在此基础上，以整数规划算法为数学工具给出了时间算法复杂度为多项式的最优基本信标的计算方法。

A learning algorithm based on ellipsoid algorithm in programming technique is presented.

文中给出一种称为棉球算法的学习方法，其计算复杂性是多项式型。

A learning algorithm based on ellipsoid algorithm in programming technique is presented.I...

文中给出一种称为棉球算法的学习方法，其计算复杂性是多项式型。

Here, the theory and the deducing process of the SEM based on the Legendre polynomial is given. The SEM can get a global diagonal mass matrix, which leads to a very simple explicit time difference scheme and high efficiency. Numerical simulation in the transversely isotropic medium are shown and the results approved that the SEM is a effective method for seismic wave modeling.

文中阐述了基于Legendre多项式的谱元法的理论和推导过程，该方法可以形成全局对角质量矩阵，在时间域使用显式的差分算法，提高运算效率，最后通过横向各向同性介质的数值计算，模拟结果表明该方法是一种有效的数值模拟方法。

The SEM can get a global diagonal mass matrix, which leads to a very simple explicit time difference scheme and high efficiency. Numerical simulation in the transversely isotropic medium are shown and the results approved that the SEM is a effective method for seismic wave modeling.

文中阐述了基于Legendre多项式的谱元法的理论和推导过程，该方法可以形成全局对角质量矩阵，在时间域使用显式的差分算法，提高运算效率，最后通过横向各向同性介质的数值计算，模拟结果表明该方法是一种有效的数值模拟方法。

I use an example quoted by Hu Jiaqi:"It is reported that America separates the DNA of a kind of virus by making use of genetic technology and combines it with another kind of DNA. Finally, they get a kind of virulent biological agent called a "pyrotoxin". Someone discloses in private that 20 grams of such a kind of biological agent could result in the global death of 6 billion people due to infection."

我在这里例举胡家奇所引用过的例子："据报道，美国利用转基因技术，将一种病毒的DNA分离出来，与另外一种DNA进行结合，拼结成一种剧毒的"热毒素"生物战剂，且私下有人透露，这种生物战剂只需20克，就可以导致全球60亿人全部感染死亡。"

Waiting, for the queers and the coons and the Reds and the Jews.

等待着疯子和黑人还有红色共产主义者还有犹太人