查询词典 function of complex variable

By means of plane elastic complex variable method and the theory of boundary value problems for analytic function, the stress distribution of elastic body is given in closed forms.

本文研究集中力作用下带任意孔洞的各向同性半平面焊接问题，利用复变函数方法和解析函数边值问题的理论，给出了弹性体应力分布封闭形式的解。

The multiple cracks and multiple circular holes problem of the particular antiplane regions are studied in the paper by the complex variable function and integral equation method.

利用Fredholm积分方程和复函数方法对断裂力学中的一些特殊反平面区域内的多圆孔、多裂纹问题进行了计算。

Based on the complex variable theory of sectioally holomorphic function, Cauchy type integral and Riemann boundary problem, the solution is derived from relationship of the sections.

通过将复变函数的分区全纯函数理论、Cauchy型积分和Riemann边值问题相结合，求得各分区之间的解析关系，获得了问题的温度场。

This paper gives an analytic solution of non-circle opening based on linear viscoelastic theories and theory of function of a complex variable.

本文根据粘弹性体的理论与复变函数理论给出了非圆形巷道的粘弹性解析解。

The boundary value problems for holomorphic function are so important branches in the functions of a complex variable.

中文摘要：解析函数的边值问题是复变函数论中极为重要的分支之一。

At last, the complex variable function expressions of the governing equation and each displacement component and stress component are obtained.

最后求得了该控制方程以及各位移和应力分量的复变函数表示，即所谓的基本解。

Calculation of stress concentration calculation orifice complex variable function method.

详细说明：计算孔口应力集中的计算复变函数方法。

By means of the complex variable function method and introducing the conformal transformation,the plane elasticity problem about static crack of a finite width strip with a single edge crack is analyzed further and the exact solutions to the SIFs are found out and generalized to dynamics.

利用复变方法，通过构造适当的保角映射，分析了有限宽单边裂纹带中静态裂纹的平面弹性问题，给出应力强度因子的精确解，并将其推广到动力学。

By means of the complex variable function method and introducing the conformal transformation,the anti-plane shear problem about two semi-infinite collinear cracks in one-dimensional hexagonal quasicrystals was investigated and the exact solution to mode Ⅲ SIFs was found out.

利用复变方法，通过引入适当的保角映射，研究了一维六方准晶狭长体中双半无限共线裂纹的反平面剪切问题，给出了Ⅲ型裂纹问题的应力强度因子的精确解。

The main achievements of the project are as follows: 1 the hypothesis that a decrease in seed mass causes an increase in mean dispersal distance has been tested based on the experiments of weed dispersal by wind. The experimental results partly support the hypothesis. The results will help farmers to make an optimal strategy of weed control; 2 a statistic method for inferring probabilistic distribution function of a random variable has been developed, by which probabilistic distribution functions of weed species dispersal have been determined; 3 the reproduction structure of Bromus sterilis has been studied; 4 a more complex CA model with 25 neighborhood cells were built, which can simulate spread of a weed population. This work promotes developments in both theory and application of CA models; 5 the "mean law" in weed control has been proposed. Accordingly, the algorism of patch spring may be calibrated; 6 the "patch" and "true patch" have been mathematically defined so that herbicide can be efficiently applied; 7 simulation validates that initial configurations of weed will affect dispersal of its population and strategies of controlling it, or its distribution patterns affect its dispersal progresses.

主要完成的工作和取得的成果有：1）用实验证实了重量较轻的杂草种子并不一定飞得比较重的远，其结果有助于农民制订杂草的优化控制策略；2）发展了一种推断随机变量分布函数的统计方法并用它来获得了几个杂草种的扩散分布函数；3）对杂草Bromus sterilis的繁殖结构进行了研究；4）建立了一个具有25邻的较复杂的能模拟杂草扩散的CA模型，并在理论和应用方面促进了CA模型的发展；5）在杂草控制方面提出了&平均法则&，据此可对按块施药方法进行校正；6）精确地定义了&块&和&真块&以便在杂草控制中能更有效地使用除草剂；7）模拟证实杂草种群的初始配置影响其扩散和控制策略，或者格局影响过程。

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。