在数学中经常要用到复变函数在极点邻域内展开的罗朗级数。
It is widely used to develop complex functions into Laurent series at the neighborhood of a pole.
本文采用秦勒级数展开估计土层参数随机性对场地传递函数的影响。
By expanding in the Taylor series, we estimate the effect of the soil parameter variations on the soil transfer function in this paper.
采用波函数展开法给出了半空间中衬砌洞室群在平面SV波入射下动应力集中问题的一个级数解析解。
An analytical series solution for dynamic stress concentration of lined cavities in a half space under incident plane SV waves was given by using wave function expansion method.
给出了一种不含导数的函数展开方法，在函数的连续区间内构造一个无穷级数作为函数的展开式。
To construct a progression at infinity as an expansion of function in the continuous interval, a good result was achieved.
这些因变量展开为球函数的级数形式并在15处作菱形截断。
The dependent variables are expanded in series of spherical harmonics truncated rhomboidally at wavenumber 15.
研究表明，只要傅里叶级数项数不少于30，改进后的算法比直接用复高斯函数展开具有更高的计算精度。
It is shown that the improved algorithm provides more accurate calculation results than the complex Gaussian function expansion, so long as the number of Fourier series is no less than 30.
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。
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.
利用解析函数的保角变换与罗朗级数展开，获得了轴向剪切模量的封闭公式。
The axial shear modulus has been derived in closed form by using the conformal mapping approach integrated with the Laurent expansion.
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。
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.
假设板与环间处于无初应力的紧密接触状态，弹性板和弹性环的应力函数都可按复劳伦级数展开。
It is assumed that the plate is in close contact with the ring without initial stresses. Stress functions of the plate and the ring are formed by a complex Laurent series.
然后，采用分离变量法和特征函数展开法在相应的边界条件下求出级数解。
Secondly, the method of separation of variables and the eigensolution expansion method are used to obtain the analytical solutions of thick plates under corresponding boundary conditions.
应用广义阶梯函数来表示载荷，然后再将其展开成傅立叶级数形式，推导出纵向剪切问题的位移计算公式。
The Fourier series of load is given by using generalized step function and the displacement formula of the longitudinal shear problem is derived.
将复势函数进行罗伦级数展开，通过边界条件得到罗伦级数展开式系数的递推公式，并由复势函数确定应力分量和位移分量。
The complex potentials were expanded into Laurent Series whose coefficients could be expressed by recurrent relations. The stresses and displacements were then be determined by complex potentials.
然后连续利用多元函数级数展开，导出群角表示的相速度和群速度近似公式。
Then series expansions of multi-variable functions are applied to the derived approximations in terms of phase angles to generate the approximations in terms of group angles.
第三种方法是把待求级数用基本初等函数的幂级数展开式表示出来；
The third one is to let series be expressed by basic elementary function's power series expansion;
第三种方法是把待求级数用基本初等函数的幂级数展开式表示出来；
The third one is to let series be expressed by basic elementary function's power series expansion;
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