julia set 中文意思是什麼
julia set
解釋
茹利亞集[合-
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且僅當f的任何臨界聲、不屬于填充julm集的周期分支內。你當j的臨界盧、不滿足條件小， 」 j時， f的幾ha集有可數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。 。 -
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 ） ，我們進一步有：填充juia集包含臨界點的周期分支及其迭代逆象同胚於一個有連通julia集的二次多項式的填充julia集，而其他分支都是單點。 -
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的特定迭代序列，討論了高次多項式的隨機復動力系統的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式函數的mandelbrot集。 -
Sally ' s trying to set a fight with julia
賽利想通過這樣參加朱利亞頭銜賽？ -
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：存在單連通區域l 』 、 u 』及正整數n ；使得i 』 u ，仁』包含臨界點c或一c ， 」 ： r一u是一個二層分支覆蓋，且擬共形共軛於一個有連通julia集的二次多項式。 -
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 ，如果二次多項式pc （ z ）不是無窮可重整化的，並且沒有拋物周期點，那麼julia集j （ pc ）是局部連通的，並且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對復動力系統理論作出了重要的貢獻，其中之一就是對二次多項式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引進了一種強有力的方法? ?拼圖技巧。 -
/ / 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，那麼人在0 ，盧、的直接吸引域是joulan曲線，從而是局部連通的。 -
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論是關于動力學平面上人的julia集的局部連通性：定理2 -
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
最後，用julia集的思想實現了多幅藝術圖案的設計與繪制，並將繪制的多種分形圖進行了綜合運用，實現了虛擬景觀的生成。
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