julia sets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(gè)結(jié)論是關(guān)于動(dòng)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(duì)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(gè)理論,faught和hubbard研究了有臨界不動(dòng)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 sets in a sentence. 用julia sets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(duì)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(gè)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)。 - 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(duì)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(gè)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(gè)技巧,他得到了對(duì)cm,如果二次多項(xiàng)式pc(z)不是無(wú)窮可重整化的,并且沒(méi)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
cyoccoz對(duì)復(fù)動(dòng)力系統(tǒng)理論作出了重要的貢獻(xiàn),其中之一就是對(duì)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(gè)二層分支覆蓋,且擬共形共軛于一個(gè)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(shí),f的幾ha集有可數(shù)個(gè)非平凡的連通分支,這里,一個(gè)分支是平凡的,如果它僅由一個(gè)盧、組成。。 - 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(shí),f的幾ha集有可數(shù)個(gè)非平凡的連通分支,這里,一個(gè)分支是平凡的,如果它僅由一個(gè)盧、組成。。 - 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(shí),f的幾ha集有可數(shù)個(gè)非平凡的連通分支,這里,一個(gè)分支是平凡的,如果它僅由一個(gè)盧、組成。。 - 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(shí),f的幾ha集有可數(shù)個(gè)非平凡的連通分支,這里,一個(gè)分支是平凡的,如果它僅由一個(gè)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(gè)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(dòng)力系統(tǒng)的julia集的連通的充分必要條件以及稠密性問(wèn)題,同時(shí)還討論了一類多項(xiàng)式函數(shù)的mandelbrot集。
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