在前言中，我们对复变函数及其历史背景以及这些领域的研究成果作了一番综述。
In the preface, we give a review about the historical background of complex analysis and research achievements in these fields.
本文是作者在多连通区域单叶函数领域研究成果的总结。
The present article is an account of results on univalent functions in multiply connected domains obtained by the author.
利用复变函数方法，对复合材料平面断裂问题的研究已经取得了许多成果。
Many research results of composite material fracture were derived by the method of composite complex function.
介绍了道路权重的各种类型、路阻函数模型、交叉口延误模型和路网可靠度的研究成果。
Then it introduces the research fruit of road weight types, road impedance function model, intersection delay model, and network reliability.
在前人已有成果的基础上，给出了三玻色子在不同轨道上时全对称波函数的非对称展开式，这种展开式可直接用于核潜的计算。
Based on the previous work, two expansion formulas of fully symmetric wave function for describing three bosons in different orbits are obtained, which can be used to calculate the nuclear specturm.
对指数族非线性随机效应模型，本文首次利用Q函数进行统计诊断。主要创新性研究成果如下。
Q function have been used to study the statistical diagnostics for the exponential family nonlinear models with random effects.
根据前人的研究成果，文章提出非定式权函数理论，并以非定式权函数对不同异方差性的分组数据开展研究。
According to previous research results, the article proposed a set of variable-weighting function theory, and researched on different heteroscedasticity of group data by variable-weighting function.
对于任何一个实际的灌溉规划问题，不管目标函数和约束条件如何，本文给出的这一模型均可提供较为合理的成果，用于指导灌区实践。
For any actual problem of irrigation program, the proposed model will give more rational results, which can be used in the practice of irrigation area.
主要的研究内容和成果包括以下几个方面：1利用定义双正交原理提出提出了多种用于阵列信号盲分离双二次代价函数。
The main contents and contributions include: 1 on basis of the defined biorthogonality, we propose several biquadratic cost functions for array-signal blind separation.
接着阐述国内学者在结合了中国特殊的制度因素后，在消费函数理论方面的所做的研究成果。
Then we demonstrate the conclusion of internal scholars, which have considered and combined unique factors of China in the consumption function theory.
利用接触面固结快剪试验成果确定了传递函数中各个参数。
And the parameters of the load transfer function is presented.
研究成果为受热密度函数与温度场数学模型的建立打下基础。
The productions of the research offer the foundation for establishing the heated density function and the temperature field mathematical model.
在分析已有成果的基础上，用生长曲线来描述敏感指数的累积函数，并给出了参数的求解方法。
By reviewing the previous studies, the authors use a growing curve to represent the cumulative function of sensitive index in Jensen model.
该文借助于西方经济学的规模函数以及博弈论的研究成果，对当代经济社会中企业规模小型化趋势进行了数学分析，并利用数学的推论证明了企业规模不断小型化的必然性。
The fruit of scale-function in economics and the Game theory is used to analyze the tendency that the scale of enterprise in modern time become small. It is proved by mathematics' tool.
该文借助于西方经济学的规模函数以及博弈论的研究成果，对当代经济社会中企业规模小型化趋势进行了数学分析，并利用数学的推论证明了企业规模不断小型化的必然性。
The fruit of scale-function in economics and the Game theory is used to analyze the tendency that the scale of enterprise in modern time become small. It is proved by mathematics' tool.
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