Permuted Meaning: Definition, Examples, and Translations
🔀
permuted
[pərˈmjuːtɪd ]
Definition
mathematics, computing
Permuted is the past tense of permute, which refers to the act of changing the order or arrangement of items. In mathematics, it often relates to the various ways of arranging a set of elements. In computing, it may involve altering the organization of data for specific algorithms or processes. This concept is significant in combinatorics and algorithm design.
Synonyms
altered, mixed, rearranged, shuffled.
Examples of usage
- The numbers were permuted to find all possible combinations.
- Data was permuted to enhance the algorithm's performance.
- In the puzzle, the letters must be permuted to reveal the hidden word.
Translations
To see the translation, please select a language from the options available.
Interesting Facts
Mathematics
- In mathematics, permuted refers to creating different arrangements of a set of items, often used in combinatorics.
- The factorial function (n!) is often used to calculate the total number of ways to permute 'n' items.
- Permutations include not just arrangements, but also the order matters, so 'AB' is different from 'BA'.
Computer Science
- In algorithms, permutations are crucial for generating different sequences for data analysis.
- Security encryptions often employ permutation techniques to scramble data into a secure form.
- Sorting algorithms evaluate permutations to find the most efficient way to arrange data.
Psychology
- Cognitive flexibility, the ability to think about something in new ways, often involves 'permuting' our thoughts and ideas.
- Artistic creativity can be seen as permuting familiar concepts to create original ideas.
- Studies show that our brains can benefit from visualizing different permutations of problems when seeking solutions.
Pop Culture
- Twists in stories often involve characters permuting their identities or situations, leading to surprising plot developments.
- The popular card game 'Uno' often has players permuting their hands to achieve victory.
- Cooking shows frequently showcase how ingredients can be permuted to create new recipes from classic dishes.
Origin of 'permuted'
Main points about word origin
- The term originates from the Latin word 'permutare', where 'per-' means 'through' and 'mutare' means 'to change'.
- First used in English around the 17th century, 'permuted' has evolved in its application across various fields.
- It can describe mathematical rearrangements as well as everyday changes in the order of items.
The word 'permute' derives from the Latin 'permutare', which means 'to change thoroughly'. The prefix 'per-' implies thoroughness, while 'mutare' means 'to change'. The term began to be used in English in the early 19th century, primarily in the context of mathematics and combinatorial theory. Over time, its usage has expanded to include applications in various fields such as computer science and cryptography. The process of permuting elements plays a critical role in understanding probabilities and combinations, as it illustrates all possible sequences that can arise from a given set. Therefore, the past participle 'permuted' is often employed in discussions related to statistical sampling, algorithm design, and mathematical proofs.