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词汇 permutation
释义

Definition of permutation in English:

permutation

noun pəːmjʊˈteɪʃ(ə)nˌpərmjʊˈteɪʃ(ə)n
  • 1Each of several possible ways in which a set or number of things can be ordered or arranged.

    变化组合

    his thoughts raced ahead to fifty different permutations of what he must do

    就必须要做的事他很快想出了50种不同的变化组合。

    Example sentencesExamples
    • With this scenario, the fragmented delegate count produces several possible permutations.
    • Clearly, the possible number of permutations is gigantic.
    • One example he gives is the number of permutations possible with 59 objects - only slightly more than a deck of cards.
    • Other permutations of the five cards can give different values for the longest increasing subsequence.
    • How does the counter generate the correct permutation of the binary numerals?
    • Ideally, we would list all possible permutations of the ESP matrix.
    • With so many different home loan permutations and cost factors to be taken into consideration, it's not surprising that many buyers are bewildered.
    • There are 16 different permutations for a possible World Series matchup this season.
    • This procedure is repeated until all possible permutations of experimental conditions to the data have been calculated.
    • Some of these parameters change rapidly, others very slowly, and the possible permutations are nearly infinite.
    • For example, there are six permutations of order of appearance for the three evolutionary splits mentioned above.
    • The possible permutations of the final four are intriguing.
    • Many other permutations of the alternatives presented are certainly possible.
    • Old insights are merely recycled in different permutations against a backdrop of current circumstances.
    • Now, since we're considering order, each of these combinations has a number of permutations.
    • In effect, each row is a permutation of four distinct numbers.
    • The possible permutations of ordering the seven stamps determined the need for 42 collages.
    • This procedure was repeated for 10 random permutations of trajectory orders.
    • I have seen the slogan in a hundred different permutations.
    • We will give a proof here, independent of Wilson's theorem, that all permutations are possible.
    Synonyms
    temperament, nature, character, constitution, make-up, grain, humour, temper, mentality, turn of mind
    arrangement, order, grouping, disposition, presentation, sorting, organization, combination, variation, transformation, transposition
    1. 1.1Mathematics mass noun The action of changing the arrangement, especially the linear order, of a set of items.
      〔数〕排列;置换
      Example sentencesExamples
      • A simple position permutation was also used to generate random sequences.
      • The statistical significance of this test is calculated by permutation.
      • All significance thresholds were determined empirically by permutation
      • The statistical significance of the values was estimated by permutation analysis using 1,000 replications.
      • Chromosome-wide significance thresholds were determined by permutation as previously described.
    2. 1.2British A selection of a specified number of matches in a football pool.
      〈英〉(足球普尔中特定比赛场次的)挑选

Derivatives

  • permutational

  • adjective
    • His methods here are based on wreath products and permutational products.
      Example sentencesExamples
      • The table was analyzed using an exact permutational test using the algorithm of ROFF and BENTZEN permuted randomly 1000 times.
      • An exact permutational test on the entire two-by-six matrix was performed using CHIPERM.
      • Here, the permutational integers are sentences, rather than rhymes.
      • It is of course possible to organize the combinations and sequences of individual rows on a hierarchical rather than permutational basis.

Origin

Late Middle English (in the sense 'exchange, barter'): via Old French from Latin permutatio(n-), from the verb permutare 'change completely' (see permute).

  • commute from Late Middle English:

    In early use commute meant ‘to interchange two things’. Its source is Latin commutare, from com- ‘together’ and mutare ‘to change’, the root of English words such as moult (Late Middle English), mutant (early 19th century), and permutation (Late Middle English). The modern meaning, ‘to travel between home and your place of work’, comes from commutation ticket. This was the American term for a season ticket, where a number of daily fares were ‘commuted’ to, or changed into, a single payment. The Americans have been commuting since the 1860s, but the term did not make its way over to Britain until the 1930s.

Definition of permutation in US English:

permutation

nounˌpərmyo͝oˈtāSH(ə)nˌpərmjʊˈteɪʃ(ə)n
  • 1A way, especially one of several possible variations, in which a set or number of things can be ordered or arranged.

    变化组合

    his thoughts raced ahead to fifty different permutations of what he must do

    就必须要做的事他很快想出了50种不同的变化组合。

    Example sentencesExamples
    • This procedure was repeated for 10 random permutations of trajectory orders.
    • The possible permutations of ordering the seven stamps determined the need for 42 collages.
    • Old insights are merely recycled in different permutations against a backdrop of current circumstances.
    • For example, there are six permutations of order of appearance for the three evolutionary splits mentioned above.
    • Clearly, the possible number of permutations is gigantic.
    • We will give a proof here, independent of Wilson's theorem, that all permutations are possible.
    • Ideally, we would list all possible permutations of the ESP matrix.
    • With so many different home loan permutations and cost factors to be taken into consideration, it's not surprising that many buyers are bewildered.
    • With this scenario, the fragmented delegate count produces several possible permutations.
    • Now, since we're considering order, each of these combinations has a number of permutations.
    • In effect, each row is a permutation of four distinct numbers.
    • The possible permutations of the final four are intriguing.
    • Many other permutations of the alternatives presented are certainly possible.
    • There are 16 different permutations for a possible World Series matchup this season.
    • How does the counter generate the correct permutation of the binary numerals?
    • Some of these parameters change rapidly, others very slowly, and the possible permutations are nearly infinite.
    • I have seen the slogan in a hundred different permutations.
    • This procedure is repeated until all possible permutations of experimental conditions to the data have been calculated.
    • One example he gives is the number of permutations possible with 59 objects - only slightly more than a deck of cards.
    • Other permutations of the five cards can give different values for the longest increasing subsequence.
    Synonyms
    temperament, nature, character, constitution, make-up, grain, humour, temper, mentality, turn of mind
    arrangement, order, grouping, disposition, presentation, sorting, organization, combination, variation, transformation, transposition
    1. 1.1Mathematics The action of changing the arrangement, especially the linear order, of a set of items.
      〔数〕排列;置换
      Example sentencesExamples
      • Chromosome-wide significance thresholds were determined by permutation as previously described.
      • All significance thresholds were determined empirically by permutation
      • A simple position permutation was also used to generate random sequences.
      • The statistical significance of the values was estimated by permutation analysis using 1,000 replications.
      • The statistical significance of this test is calculated by permutation.

Origin

Late Middle English (in the sense ‘exchange, barter’): via Old French from Latin permutatio(n-), from the verb permutare ‘change completely’ (see permute).

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