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词汇 Collatz conjecture
分类 英语词汇 英语翻译词典
释义

Collatz conjecture

原声例句
Veritasium真理元素

I called it " The Simplest Math Problem No One Can Solve, " but it's a video about the Collatz conjecture.

我把它命名为“无人能解的最简单的数学问题” ,但它是一个关于 Collat​​z 猜想的视频。

中文百科

考拉兹猜想

n = 27时的串行分布(横轴-步数;纵轴-运算结果)

考拉兹猜想英语:Collatz conjecture),又称为奇偶归一猜想3n+1猜想冰雹猜想角谷猜想哈塞猜想乌拉姆猜想叙拉古猜想,是指对于每一个正整数,如果它是奇数,则对它乘3再加1,如果它是偶数,则对它除以2,如此循环,最终都能够得到1。

 f(n) = \begin{cases} n/2 &\mbox{if } n \equiv 0 \\ 3n+1 & \mbox{if } n\equiv 1 \end{cases} \pmod{2}.
英语百科

Collatz conjecture 考拉兹猜想

Numbers from 1 to 9999 and their corresponding total stopping time
Histogram of total stopping times for the numbers 1 to 100 million. Total stopping time is on the x axis, frequency on the y axis. Note that for all positive integers the histogram would be a completely different, exponentially-growing sequence (see #In reverse)
Cobweb plot of the orbit 10-5-8-4-2-1-2-1-2-1-etc. in the real extension of the Collatz map (optimized by replacing

The Collatz conjecture is a conjecture in mathematics named after Lothar Collatz, who first proposed it in 1937. The conjecture is also known as the 3n + 1 conjecture, the Ulam conjecture (after Stanisław Ulam), Kakutani's problem (after Shizuo Kakutani), the Thwaites conjecture (after Sir Bryan Thwaites), Hasse's algorithm (after Helmut Hasse), or the Syracuse problem; the sequence of numbers involved is referred to as the hailstone sequence or hailstone numbers (because the values are usually subject to multiple descents and ascents like hailstones in a cloud), or as wondrous numbers.

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