Ring of formal power series

形式幂级数环

In this paper, we discuss how to use the geometric series to find the sums of power series and to represent functions by power series.

就此讨论一类等比级数在求幂级数的和函数以及将函数展开成幂级数时的应用。

Is also a function of extreme value theory, and many other mathematical theory of power series basis.

也是函数的极值、幂级数理论等众多数学理论的基础。

Limit, derivative, integral power series expansion, differential equation solving certain other.

求极限、导数、积分，幂级数展开，求解某些微分方程等。

The response of the sensor is expressed in terms of its output by a power series. The coefficients of the power series can be learned and determined by a simple neural algorithm.

该方法用幂级数多项式拟合传感器的非线性模型，多项式的系数可由神经网络学习算法得到。

Based on the theory of modal superposition and power series expansion, a modal superposition method for the sensitivity analysis of FRF is proposed in this paper.

基于模态展开和幂级数展开原理，提出了一种频响函数灵敏度分析的模态展开法。

Derived and solved the governing vibration equations of orthotropic membrane, and obtained the power series formula of nonlinear vibration frequency of rectangular membrane with four edges fixed.

得到了按矩形四边固支边界考虑时，膜材大挠度非线性振动频率的幂级数表达式。

A relatively direct method is expounded in this paper to prove the termwise differentiation of power series, and a simple method is expressed to calculate the Fourier coefficient.

用比较直接的方法证明幂级数的和函数在收敛域内可以逐项微分的公式；并得到了计算傅立叶系数的一种简便方法。

Within the restricted scope, the infinite power series is convergent and the formula is workable.

在规定的范围内该无穷级数收敛,并有计算公式成立.

The simulation proved the practicability and the validity of the power series and fuzzy AHP used in the study of combat effectiveness evaluation of advanced fighter plane.

仿真结果验证了综合运用这两种方法研究战斗机作战效能的实用性和有效性。