julia set造句
例句與造句
- The second result is on the local connectivity of the julia set of fc in its dynamical plane . we obtain theorem 2
我們得到的第二個結(jié)論是關(guān)于動力學(xué)平面上人的julia集的局部連通性：定理2 - / / the julia set j ( fc ) of fc is connected , then the boundary of the immediately attracting domain of fc at 0 is a jordan curve
L 。 a集是連通的，那么人在0 ，盧、的直接吸引域是joulan曲線，從而是局部連通的。 - With the similar technique , they gave a complete description of the connectivity and the totally disconnectivity of the julia sets of cubic polynomials
他們用類似的拼圖技巧，對三次多項(xiàng)式的julia集的連通性和完全不連通性作出了完整的描述。 - A further application of the puzzle theory , due to faught and hubbard , is the study of the julia sets and the connectedness locus of a cubic family with one critical fixed point
利用這個理論， faught和hubbard研究了有臨界不動點(diǎn)的單參數(shù)三次多項(xiàng)式族的julia集及其連通跡的局部連通性。 - In fact , the curve is a fractal curve . lastly , with computer experiments and julia set in broad sense , the design of the pattern of various arts can be realized . fictional nature sights appear by compounding each single picture
最后，用julia集的思想實(shí)現(xiàn)了多幅藝術(shù)圖案的設(shè)計(jì)與繪制，并將繪制的多種分形圖進(jìn)行了綜合運(yùn)用，實(shí)現(xiàn)了虛擬景觀的生成。 - It's difficult to find julia set in a sentence. 用julia set造句挺難的
- In the case ( 3 ) . we also have that each critical component and its inverse images under iterations are homeomorphic to the filled julia set of a quadratic polynomial with connected julia set . each of the other components of a ' ( / ) is a single point
對于（ 3 ） ，我們進(jìn)一步有：填充juia集包含臨界點(diǎn)的周期分支及其迭代逆象同胚于一個有連通julia集的二次多項(xiàng)式的填充julia集，而其他分支都是單點(diǎn)。 - Yoccoz introduced a powerful puzzle technique and obtained the result that if the quadratic polynomial pc ( z ) with , which has no indifferent cycle , is not infinitely renormalizable , then the julia set j ( pc ) of pc is locally connected while dm is also locally connected at c
利用這個技巧，他得到了對c m ，如果二次多項(xiàng)式pc ( z )不是無窮可重整化的，并且沒有拋物周期點(diǎn)，那么julia集j ( pc )是局部連通的，并且m在c也是局部連通的。 - At the end of the last century , c . j . yoccoz is made significant contributions to the theory of complex dynamics , one of which is the study of the local connectivity of the julia sets of quadratic polynomials pc ( z ) = z2 + c and the mandelbrot set m . in his work
C yoccoz對復(fù)動力系統(tǒng)理論作出了重要的貢獻(xiàn)，其中之一就是對二次多項(xiàng)式pc ( z ) = z ~ 2 + c的julia集和mandelbrot集m的局部連通性的研究。在他的工作中， yoccoz引進(jìn)了一種強(qiáng)有力的方法? ?拼圖技巧。 - If fc has no parabolic periodic points and is not renormalizable , then j ( fc ] is locally connected . here fc is renormalizable if there are simply connected domains u and u " and a positive integer n such that contains the critical point c or - c1 and is a quadratic - like mapping with connected julia set
這里， it稱為可重整化的定義為：存在單連通區(qū)域l ’ 、 u ’及正整數(shù)n ；使得i ’ u ，仁’包含臨界點(diǎn)c或一c ， ” ： r一u是一個二層分支覆蓋，且擬共形共軛于一個有連通julia集的二次多項(xiàng)式。 - Let f be a biquadratic polynomial , then ( 1 ) the julia set of f is connected if and only if the orbits of all critical pionts are bounded ; ( 2 ) the julia set of f is totally disconnected if and only if every connected component of the filled julia set of f containing critical points is not periodic under iterations : ( 3 ) if f does not satisfy the conditions ( 1 ) and ( 2 ) , then the julia set of f has infinitely many non - trivial connected components , where a component is trivial if it contains only one point
A集是完全不連通的當(dāng)且僅當(dāng)f的任何臨界聲、不屬于填充julm集的周期分支內(nèi)。你當(dāng)j的臨界盧、不滿足條件小， ” j時， f的幾ha集有可數(shù)個非平凡的連通分支，這里，一個分支是平凡的，如果它僅由一個盧、組成。 。 - 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個函數(shù)的特定迭代序列，討論了高次多項(xiàng)式的隨機(jī)復(fù)動力系統(tǒng)的julia集的連通的充分必要條件以及稠密性問題，同時還討論了一類多項(xiàng)式函數(shù)的mandelbrot集。 - This paper is devoted to seeking formulas and rules of representation for generating new fractal graphics . the main works are as followed : ( l ) construct new formulas for new fractal aspects after revisited methods for the visualisation of mandelbrot and julia sets based on ifs , we described the other new formulas originating from z z2 + c . including norton and polynomials iterated function , which have integer index instead quadratic index , we also constructed formulas with complex number index . 3 - d dynamical system is discussed then . besides the most widely used sequential visualisation methods , we designed two methods to change the original vectors and get new graphics with special effects
在對公式指數(shù)的推廣中，包括指數(shù)為整數(shù)的牛頓迭代法和多項(xiàng)式迭代法，還包括指數(shù)為復(fù)數(shù)的迭代公式；在離散動力系統(tǒng)的吸引子生成算法討論中，將復(fù)數(shù)z向高維空間推廣，重點(diǎn)論述了生成了三維離散動力系統(tǒng)吸引子的收斂條件，實(shí)現(xiàn)了此吸引子對應(yīng)的三維空間向量在平面上的投影圖的條件；還討論了迭代前對初值點(diǎn)進(jìn)行兩種不同變換對得到的分形圖形的影響，以及這兩種變換組合圖形的生成。 - Chapter one of this paper discuss the random dynamical system formed by limited rational functions . some necessary conditions and some sufficient conditions are give for the julia set to have interior points . additional , for any positive number l , it proved that it is easy to construct a set of polynomial , whose julia set have points but is not the whole plane , however , the distances of one another of the classical julia sets of them is greater then l . this phenomenon is n ' t exists in the random dynamical system constructed by two polynomial
本文的第一章的內(nèi)容主要討論了由有限個有理函數(shù)組成的隨機(jī)復(fù)動力系統(tǒng)，得到j(luò)ulia集有內(nèi)點(diǎn)的充分條件和必要條件，同時證明了對任意的正數(shù)l ，可以構(gòu)造一組多項(xiàng)式，它們各自的古典的julia集之間的距離均大于l ，但這組多項(xiàng)式組成的隨機(jī)復(fù)動力系統(tǒng)的julia集含有內(nèi)點(diǎn)且不是全平面，此現(xiàn)象與兩個多項(xiàng)式的隨機(jī)復(fù)動力系統(tǒng)的julia集性質(zhì)完全不同。 - In virtue of the knowledge related to fractal theory , all fractals algorithms in the paper have already been realized on computer , such as mandelbrot sets , julia sets , l system and iterated function system , etc . and their fractal figures have been drawn . meanwhile , to obtain a better visual effect and simulate actual natural scene , software adopts the real color and color palette to enrich figures , and color animated cartoon to change them . to show the self - similarity and infinitive tractility of fractal figures , partial zoom has been made on them
本文運(yùn)用分形理論實(shí)現(xiàn)多種分形算法，在計(jì)算機(jī)上生成mandelbrot集， julia集， l系統(tǒng)， ifs迭代函數(shù)系統(tǒng)等典型的分形圖形，同時運(yùn)用真彩色及調(diào)色板技術(shù)豐富圖形的色彩，實(shí)現(xiàn)了色彩動畫，使其更真實(shí)的模擬自然景物；運(yùn)用鼠標(biāo)編程技術(shù)實(shí)現(xiàn)對圖形局部的放大和縮小，體現(xiàn)分形圖形的自相似性和無限延展性；提供多組參數(shù)，利用分形圖形的混沌特性，通過微小的參數(shù)變化，生成完全不同的分形圖形。