查询词典 function of complex variable

By using of complex variable function and integral equation method, the antiplane multiple holes and cracks problem of half plane region is considered in this paper.

运用复变函数及积分方程方法，求解了半平面域多圆孔多裂纹反平面问题。

The classical theorems of analytic function of one complex variable such as Morera theorem and Liouville theorem were generalized to the regular function, similarly to biregular function.

Clifford分析中，正则函数是单复分析中全纯函数在高维空间的推广，全纯函数的经典函数理论如Morera定理，刘维尔定理等都可推广到正则函数，同样也可推广到双正则函数。

The theory of complex variable function for anisotropy plate combined with boundary collocation method is applied to calculation pin-loads and contact region as well as the contact stress on the hole boundary.

采用各向异性板的复变函数理论和边界配置方法，对连接件进行分区，加以限制条件，对多钉连接的复合材料层合板的钉载和板与螺栓间的接触应力和接触区域进行了计算。

A calculation model of stress field of the composite plate with circular holes was built according to the theory of complex variable function.

根据复变函数理论建立了计算模型。采用仿射变换的方法得到了准确描述应力场的复变应力函数。

Based on Biot′s dynamic theory,the method of complex variable function s is used to solve the problem of scattering of elastic waves by circular cavity with lining in saturated soil.

运用复变函数法，在Biot 波动理论的基础上，对饱和土中的圆形衬砌结构进行分析。

Because the characteristic equation of fractional order system is a pseudo-polynomial function with exponential-type fractional orders of complex variable, the control of integer orders cannot be directly applied to it.

分数阶系统的特征方程是一个具有复变量的分数阶指数的伪多项式，因此不能直接应用整数阶系统的控制方法。

This model was simplified to a single degree-of-freedom system by means of complex variable function. The stationary solution of system was solved by harmonic balance method, and the amplitude-frequency response was presented.

采用复变函数将系统的动力学方程简化，利用谐波平衡法分析了系统的稳态解，得到了系统的幅频响应。

This paper proves strictly the soundness of a formula of the logarithm function of a complex variable and points out the wrong conclusion concerning it in《Engineering Mathematics-Functions of a Complex Variable》compiled by the Mathematics Teaching and Research Section of Xi an Jiaotong University.

本文严格证明了关于复变量对数函数的一个公式的正确性，同时指出了西安交通大学数学教研室编写的《工程数学———复变函数》一书中有关结论的错误。

The fracture problem can be solved by calculating the boundary value of a partial differential equation. By the methods of complex variable function and undetermined coefficients, the formulae for deflection, displacement, bending moment, torque, stress and strains near the crack tip are derived.

该断裂同题可化为求解一个偏微分方程的边值问题，借助复变函数方法和待定系数法，推出了裂纹尖端附近的挠度、位移、弯矩、扭矩、应力和应变的计算公式。

In order to solve the derivation of power exponent function,this paper has studied the derivation regulations on power function from the perspective of the differentiation of multi-variable function and in accordance with the derivation laws on multi-variable complex function.

为解决幂指函数的求导问题，从多元函数微分法的角度出发，根据多元复合函数的求导法则，探索幂指函数求导的规律，并揭示了幂指函数与幂函数及指数函数导数间的关系，给出了幂指函数求导的另一种方法。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。