查询词典 Julia

We construct a family of iterative mappings, which yield cyclic windows of variant size in the dynamical plane by incorporating cosine functions and non-linear angle variables with parameters. Chaotic attractors and filled-in Julia sets in the different cyclic windows are created by establishing the coordinates of any cyclic windows and the maximal window, then clarifying the relationship of corresponding points between these cyclic windows. The respective images in different windows are continuous but with individual structures.

该算法采用余弦函数及含参的非线性角度变量构造一族使动力平面上各周期窗口的尺度变化的迭代映射；通过计算任意周期窗口和最大周期窗口得出窗口间相应点之间的非线性对应关系，并构造出各周期窗口中的混沌吸引子和充满Julia集，其图案是连续的且结构不同的；选用不同的周期窗口作为基本计算区域，使之与正方形像素矩阵对应，并构造出基本图元，实现了用一个映射构造出多个平面排列图案的算法。

Introduces the Julia set's definiens of Newton iteration function. With the aid of computer and the theory method ,this paper discusses the Newton iteration function's Julia set and Julia set's fractal structure of polynomial f=z 4-1 on complex plane , and also shows the Julia set's graph.

介绍了复平面上Newton迭代函数的Julia集的定义，借助计算机迭代制图及理论方法讨论了复平面上4次复多项式f＝z4－1的Newton迭代函数的Julia集及Julia集的分形结构，给出了其Julia集的分形图形。

Chapter two study iteration of a serial of polynomial, discussed the sufficient and necessary conditions and denseness of the Julia set, the relative random dynamical system is constructed by some high degree polynomial. In addition, it discuss the Mandelbrot set of a kind of polynomial.

本文的第二章主要研究多个函数的特定迭代序列，讨论了高次多项式的随机复动力系统的Julia集的连通的充分必要条件以及稠密性问题，同时还讨论了一类多项式函数的Mandelbrot集。

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。

Check back for future contributions from the renowned philosopher of mind David Chalmers, moral philosopher Julia Driver, and epistemologist James Pryor, among others.

在下一集中，我们还将介绍著名的哲学家 David Chalmers，道德哲学家 Julia Driver以及认识论专家 James Pryor以及其他作者的作品。

Complicated system ; fractal ; nonlinear dynamics ; Mandelbrot set ; Julia set ; extension factor ; ternary number ; period-checking algorithm ; volume rendering algorithm ; equivariant map ; chaotic dynamic system ; synthesis of mechanism

国家自然科学基金；国家重点基础研究发展计划(973计划)复杂系统；分形；非线性动力学；可视化； Mandelbrot集； Julia集；变形伸缩因子；三元数；周期检测法；体绘制算法；等变映射；混沌动力系统；机构综合

In this paper we analyze the theory of Julia sets of Newton method for multiple roots, construct the standard, relax and multiple root's Julia sets.

作者分析了重根牛顿变换的Julia集理论，并利用迭代法构造了标准牛顿变换、松弛牛顿变换和重根牛顿变换的Julia集。

This paper constructs the Newtons rational mapping f=(m-1z m-c/(mz m-1 ) by using complex coefficient polynomial and also constructs fulled in Julia fractal images of high order.

本文利用复系数多项式构造了牛顿变换有理映射f＝（（m－1）zm－c）／（mzm－1）。并构造了f的充满的Julia分形图。由充满的Julia分形图的吸引域边界叠加构造Julia集。

The one person who seems to understand Sonja is her best friend Julia, but as Sonja spends more and more time with Julia, she begins to realize that her feelings for her have moved beyond friendship.

这个时期最能理解索亚的人是她最好的朋友朱丽亚，但索亚在花费更多的时间与Julia相处的同时，她开始意识到，她对Julia的感情已经超出友谊。

Newman's music appears on Sony Classical on the recently released soundtrack for Erin Brockovich (SK 89239), a film directed by Steven Soderbergh and starring two-time Academy Award-nominee Julia Roberts, who stars as the twice-divorced mother of three young children who defies the odds by taking on and defeating a major public utilities company.

Newman的音乐出现在Sony Classical公司最近发行的唱片中，这张唱片是为配合《Erin Brockovich》(SK 89239)，一部由Steven Soderbergh执导，并由获得两次奥斯卡提名的Julia Roberts主演的电影而发行的。Julia主演一位两次离婚、有三个孩子的母亲，通过与公用事业大公司的较量并获胜，反抗了不平等的待遇。

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。