级数

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。

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。

Since β values are obtained by a power series expansion of electronicenergy or dipole moment in AM1-FF scheme, it does not provide us the insightinto the electronic origin of excited states to NLO responses.

由于在AM1-FF方案中，β是由能量或偶极矩对场强的级数展开而得到的，因此AM1-FF方法无法解释β的起源，以及激发态对β的贡献。

The voltage and the sensitivity of voltage to system operation parameters are calculated by Newton power flow approach; the various higher order derivatives of voltage and voltage sensitivity to line openbreak parameter can be obtained by using the convergent correction equation of power flow and the equation of calculating sensitivity for the N power system. Finally, the voltage and sensitivity of N-1 power system can he calculated by correcting the voltage and sensitivity of N power system by Taylor series expansion.

通过牛顿潮流计算出N网络的各节点电压及其对系统运行参数的灵敏度；利用已收敛的潮流修正方程式和N网络灵敏度计算方程式分别对线路开断参数多阶求导，从而计算出电压和灵敏度对此线路开断参数的多阶导数值；根据泰勒级数展开式修正N网络的电压和灵敏度值，得到N-1网络的电压和灵敏度值。

The standard cell potential of each condition and the activity coefficients of KI in the mixed solvent were obtained by associating the experimental values using power series expansion method, the extended Debye-Hückel equation and the Pitzer equation.

用电动势法测定了KI在甲醇含量为0%、20%、60%、100%的甲醉－水混合溶剂中的电动势，用幂级数展开方法、扩展的Debye-Hückel方程及Pitzer方程关联不同溶剂组成下电动势的实验值，得到电池的标准电动势Eo和KI在混合溶剂中的活度系数。

A Study on Fraunhofer Double-Slit Diffraction by Applying Simulation Technology;2. Based on Kirchhoffs theory,the approximate intensity formulas of double-slit diffraction of Gaussian Beam is derived under paraxial approximation with power series expansion methods.

依据基尔霍夫衍射理论，利用幂级数展开的方法推导出旁轴条件下高斯光束双缝衍射的近似光强计算公式，并通过数值计算对双缝衍射的基本特性进行了讨论，得出了与其他文献一致的结论，得出了高斯光束下的双缝衍射极小值点比平行光束双缝衍射的极小值点向外移，观察屏中心光能变小；光强分布可由激光斑在衍射屏处的参数调制的结论。

To solve the resulted secondorder ordinary differential equation set in the case of homogeneity orpiece homogeneity,the Frobenius Power Series Method is employed andgeneralized in a matrix form.

考虑均匀或分段均匀的特殊情形，对于导得的二阶常微分方程组，文中推广了常用的Frobenius级数求解方法，首次采用矩阵形式进行了推导。

Plentiful and substantial achievements have been made, which motivate a lot of methods to obtain the exact solutions of solitary wave equations, such as: the homogeneous balance method, the hyperbolic function method, the power series method, besides the traditional methods, such as: the inverse scatting method, the bilinear Hirota method, and the Backlund transformation method etc.

求解孤立波方程精确解的方法除了传统的反散射方法、Hirota双线性方法、Backlünd变换方法外，近年来又涌现了很多新方法，如齐次平衡法、双曲正切法，级数展开法等。

Short term solutions could be given by power series, but these were not useful in determining long-term behavior.

短期解可以由幂级数给出，但是这些对于决定长期行为是毫无用处的。

The interval of predicable system reliability including built-in fuzzy information is obtained through the similar rank.

引入相似等级数表示预测系统与典型系统的相似程度，得到被预测系统包含模糊信息的可靠度置信区间。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。