permutations background

permutations

/ˌpɜːrmjuˈteɪʃənz/ /ˌpɜːmjəˈteɪʃənz/

Illustration permutations - Image 1

noun

順列、並び

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?"

議題項目を完了させるには、どの並びが最も理にかなっていますか？

math statistics number logic

Illustration permutations - Image 1

noun

順列

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."

この順列は、各要素を次の要素に写像し、最後は最初の要素に戻します。

Illustration permutations - Image 1

noun

順列

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}."

3つの要素の順列は6通りあります。例えば、{abc, acb, bac, bca, cab, cba}です。

math number statistics

Illustration permutations - Image 1

noun

順列

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." "

先生は、「READ」という単語の文字の異なる順列が、「DARE」や「DEAR」のような単語を作り出す方法を教えてくれました。

math music technical science