多项式级数

The solution composed by algebraic polynomial with double sine series is used to satisfy the corner conditions.

另外用代数多项式和双正弦级数组成的解来满足角点条件。

The algebraic polynomial with double sine series solutions can also satisfy the problem of boundary conditions at four comers.

还有代数多项式和双正弦级数解，它能满足4个角的边界条件问题。

Secondly, the asymptotic series are used to evaluate the density function of heavy-tailed Rayleigh distribution, and an efficient three-step method is proposed using the interpolating polynomial fit.

其次， 本文使用渐近级数计算拖尾Rayleigh分布的概率密度函数，基于插值多项式拟合，提出了高效计算密度函数的三步方法。

The main circuit of the direct voltage type SVC consists of the autotransformer with average voltage, fixed branch which can compensate the reactive power and filter the harmonic, dynamic branch which can compensate the reactive power and filter the harmonic, capacitive AC thyristor no contact switch and the measuring and controlling system of

自耦均压变压器作为SVC中的主要器件，本文通过变压器的短路试验以及编程进行多项式拟合，建立了其漏抗随电容器组投切级数变化的数学模型，进而做了自耦均压变压器与相同容量相同变比的双绕组变压器有功损耗的比较，分析了36抽头自耦均压变压器在一组电容器全部投运时的空载特性，并对SVC的静态性能进行了全面分析。

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 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。

The process of replacing polynomials by formal power series is an example of a general device known as completion.

用形式幂级数来代替多项式的过程是被称之为完备化的这种一般手段的一个例子。

Through the operation of formal power series, we set up the expansion of Ar, a popularizing of the common polynomial theorem, where r is a non-zero real number.

通过形式幂级数A的幂运算，建立了Ar的展开式，这里r为非零实数，这是常见的多项式定理的推广。

Among them, former polynomial expansion detection algorithm based on the classic conclusion ,Gauss－Seidel iterative method which will introduce the same time. Inverse matrix will eventually form into a Taylor series approximation.

其中，前一种算法立足多项式扩展检测的经典结论，同时将Gauss－Seidel迭代方法引入其中，最终将矩阵求逆转化为泰勒级数近似的形式。

In this thesis, by employing generating function technique, some new combinatorial identities have been established.

本文利用发生函数理论建立了一系列新的组合恒等式，并且利用发生函数方法讨论了一些级数的取整值问题以及某些多项式在有理点的取值问题。

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％。