Translated Labs

YOU SAID:

One idea for computing the Feigenbaum constant is as follows: δ is the unique expanding eigenvalue for period-doubling renormalization at its fixed point F. So take any real-analytic 1-parameter family of univalent maps that is transverse to the stable manifold of renormalization (for example, the real quadratic family).

INTO JAPANESE

ファイゲンバウム定数を計算するためのアイデアの1つは、次のとおりです。 (たとえば、実際の2次ファミリー)。

BACK INTO ENGLISH

One idea for calculating the Feigenbaum constant is: (For example, the actual secondary family).

INTO JAPANESE

フェイゲンバウム定数を計算するためのアイデアの1つは、次のとおりです(たとえば、実際の2次ファミリ)。

BACK INTO ENGLISH

One idea for calculating the Feigenbaum constant is (for example, the actual second-order family):

INTO JAPANESE

フェイゲンバウム定数を計算するためのアイデアの1つは(たとえば、実際の2次ファミリー)です。

BACK INTO ENGLISH

One of the ideas for calculating the Feigenbaum constant is (for example, a real second-order family).

INTO JAPANESE

フェイゲンバウム定数を計算するためのアイデアの1つは(たとえば、実際の2次ファミリ)です。

BACK INTO ENGLISH

One idea for calculating the Feigenbaum constant is (for example, a real second-order family).

INTO JAPANESE

フェイゲンバウム定数を計算するための1つのアイデアは(たとえば、実際の2次ファミリ)です。

BACK INTO ENGLISH

One idea for calculating the Feigenbaum constant is (for example, a real second-order family).

Equilibrium found!

You've done this before, haven't you.

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