单叶函数

Content: In this thesis, we investigate properties and coefficients maximum problem of some analytic functions in function theory, the research center is univalent function.

中文摘要：本文研究了函数论中几类解析函数族的性质和系数的最值问题，主要以单叶函数为研究对象，不仅对一些结果进行了推广，同时也获得了一些新结果。

It introduces normal families, including equicontinuity, Arzela's theorem, Montel's and Marty's theorems, Zalcman's lemma; univalent functions, including Koebe's and de Branges' theorems; quasiconformal mappings, including conformal length, extremal length, geometric, analytic and metric definitions, quasiconformal extension, distortion theorem, quasicircle; iteration of rational functions, including fixed points, the Fatou and Julia sets, periodic points, Siegel disks, the Hausdorff measure and dimension, etc.

具体为：正规族，包括等度连续性、Arzela定理、Montel和Marty正规定则、Zalcman引理；单叶函数，包括Koebe定理和de Branges定理；拟共形映照，包括共形模、极值长度、几何、分析和距离定义、拟共形延拓、偏差定理，拟圆周等；有理函数的迭代，包括不动点、Fatou集和Julia集、周期点、Siegel盘、Hausdorff测度和维数，等等。在教学内容上充分体现综合性、前沿性。

Therefore,we have a deep realization about the properties of a subclass of univalent functions.

由此，我们对单叶函数一些子族的性质便有了一个全新的认识。

In particular,we reveal the essential relation of the properties of a subclass of univalent functions.

特别地，我们揭示了单叶函数一些子族之间的本质联系。

In this paper,author investigates the properties of some subclasses of univalent functions.

在本文中，作者研究了单叶函数一些子族的性质。

This chapter is dedicated to the study of the properties of close-to-convex univalent harmonic mappings.

在这一章中，我们主要研究了单叶调和映照的近于凸子族，首先给出了近于凸单叶调和映照与正实部解析函数之间的一个关系。

In the fifth chapter of this paper,by using convolution techniques,we investigate theδ-neighborhoods of a subclass R~b and R~ of univalent functions.

在第五章中，我们通过卷积来研究了单叶函数一类子族R~b和R~的δ-邻域。

In the incontinuous cutting, the wave shape of milling can be looked as periodic function. When the milling wave shape with single-tooth was looked as impulse function, by the Fourier Transform, we can find out that it is composed of sine wave with a given frequency and a series of integer multiple frequency. Discussing on the power function is a major tache for studying on the cutting capability of the complex three-dimension groove milling inserts, so to know the facts that affect the single-tooth milling spectral value, and to observe the dynamic milling wave property from the composition of the power spectral, thus we can design and optimize grooves.

在断续切削中，铣削波形可被看作周期函数，将单齿铣削波形看成为脉冲函数，经过傅立叶变换，可以表示为一个按特定的基本频率变动的正弦波形的分量和许多个按基本频率的整数倍而变动的正弦波形的分量叠加而成，讨论所获得的频谱函数，是研究三维复杂槽型铣刀片切削性能的主要环节，以便了解影响单齿铣削波形幅值谱图的各种因素，并从功率谱图的组成情况来考察动态铣削波形的特性，从而进行槽型的设计和优选。

The results show that these functions have better unimodality, same adjusting focus range and accuracy, but the functions related with gradient are too slow to use in the numerical quasi-real time reconstruction.

结果表明，这些函数都具有较好的单峰性、一致的调焦范围和准确性，但与梯度运算相关的调焦函数运算时间太长；傅里叶频谱函数调焦速度最快，是首选的聚焦评价函数。

Firstly, the single-phase flow field of a typical NACA cascade was calculated and the predicted pressure coefficient has good agreement with the experimental data.

文中首先采用不同的壁面处理方法（标准壁面函数法和两层区域模型法）计算了一典型NACA叶栅内的单相流场，两种壁面处理方法得到的压力系数与实验数据符合很好，两层区域模型在前缘处的压力系数好于标准壁面函数法，与实验数据更接近。

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。