permutations background

permutations

/ˌpɜːrmjuˈteɪʃənz/ /ˌpɜːmjəˈteɪʃənz/

Illustration permutations - Image 1

noun

排列，置换

One of the ways something exists, or the ways a set of objects can be ordered.

Examples :

"Which permutation for completing our agenda items makes the most sense?"

哪种议程项目的完成顺序最合理？

math statistics number logic

Illustration permutations - Image 1

noun

排列, 置换

A one-to-one mapping from a finite set to itself.

Examples :

"This permutation takes each element to the one following it, with the last mapped back to the first."

这个置换将每个元素映射到它后面的元素，而最后一个元素则映射回第一个元素。

Illustration permutations - Image 1

noun

排列，置换

An ordering of a finite set of distinct elements.

Examples :

"There are six permutations of three elements, e.g. {abc, acb, bac, bca, cab, cba}."

三个不同元素一共有六种不同的排列方式，或者说置换方式，比如{abc, acb, bac, bca, cab, cba}。

math number statistics

Illustration permutations - Image 1

noun

排列，置换

A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.

Examples :

"The teacher showed us how different permutations of the letters in the word "READ" could create words like "DARE" and "DEAR." "

老师向我们展示了，通过对“READ”这个单词中的字母进行不同的排列组合（例如调换位置、倒过来等），可以创造出“DARE”和“DEAR”这样的单词。

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