Word · Frequency #18648
permutation
排列；置换
the act of changing the arrangement of a given number of elements
数学中元素的排列方式
- 1.
One of the ways something exists, or the ways a set of objects can be ordered.
某事物存在的方式之一,或一组对象可以排列的方式。
- 2.
A one-to-one mapping from a finite set to itself.
从有限集合到自身的一一映射。
- 3.
An ordering of a finite set of distinct elements.
有限集合中不同元素的一种排列。
- 4.
A transformation of a set's prime form, by applying one or more of certain operations, specifically, transposition, inversion, and retrograde.
通过应用一种或多种操作(特别是移调、倒影和逆行)对集合原始形式进行的变换。
彻底改变；转变；重新排列；重组；某事物存在的方式之一,或一组对象可以排列的方式。；从有限集合到自身的一一映射。；有限集合中不同元素的一种排列。
In use
The number of permutations of a set of n objects is n factorial.
After several permutations, the team finally settled on a new structure.
A permutation of the company's leadership led to a complete shift in strategy.
a permutation of [sth]
常用于数学或计算机科学中，表示所有可能的重新排列。
The algorithm computes every permutation of the input set.
该算法计算输入集的每一种排列。
in any permutation
These three colors can be arranged in any permutation.
这三种颜色可以以任何排列方式安排。
Common mistakes
We need to permutation the order of the items.
Connections
Collocations
- random permutation
- 随机排列
- The algorithm generates a random permutation of the numbers one through ten.该算法生成数字1到10的一个随机排列。
- cyclic permutation
- 循环排列
- A cyclic permutation shifts each element one position to the right.循环排列将每个元素向右移动一个位置。
- permutation group
- 置换群
- In group theory, a permutation group is a set of permutations that form a group.在群论中，置换群是一组构成群的排列。
- permutation test
- 置换检验
- A permutation test can assess whether two samples come from the same distribution.置换检验可以评估两个样本是否来自同一分布。
- various permutations
- 各种排列形式
- The software tries various permutations of the options to find the best combination.该软件尝试各种排列形式以找到最佳组合。
Learner notes
Memory Tip
联想：permutation 中间藏着 mutation（变化）——把一组东西的顺序变一变，就是“排列、置换”。
Context & Register
语域：formal 常见场景：数学与逻辑讨论、学术或正式写作 permutation 在数学中指排列或置换，属于较正式、专业的用词，日常口语中比较少见，多出现在学术或正式语境。若指日常事物的排列方式，通常用 arrangement 或 order 更自然。
Pronunciation & Spelling
All of the listed words rhyme with permutation: they have the same stressed sequence /eɪʃən/ (spelled -ation or -tion). Be careful with lookalikes: question /ˈkwestʃən/ and mention /ˈmenʃən/ end in -tion but do not share the /eɪ/ vowel, and decision /dɪˈsɪʒən/ sounds different as well.
Learn the forms together
页面下方列出了常见词形变化。学习时注意它们在句子中的语法位置。
Dictionary facts from ECDICT, WIKTIONARY.