permutation background

permutation

/ˌpɜːrmjʊˈteɪʃən/ /ˌpɜːmjəˈteɪʃən/

Illustration permutation - Image 1

Illustration permutation - Image 2

noun

排列，序列

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?"

完成议程项目的哪种排列顺序最有意义？

math number statistics

Illustration permutation - Image 1

Illustration permutation - Image 2

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."

这种排列将每个元素映射到它后面的那个元素，并且将最后一个元素映射回第一个元素。

Illustration permutation - Image 1

Illustration permutation - Image 2

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}."

对于三个不同的元素来说，存在六种排列方式，也就是它们的六种不同顺序，例如{abc, acb, bac, bca, cab, cba}。

math statistics

Illustration permutation - 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 seating arrangement was just one permutation of how the students could be organized in the classroom. "

教室里学生的座位安排仅仅是学生组织方式的一种排列而已。

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