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词汇 modulo
释义

Definition of modulo in English:

modulo

preposition ˈmɒdjʊləʊˈmäjəˌlō
Mathematics
  • 1(in number theory) with respect to or using a modulus of a specified number. Two numbers are congruent modulo a given number if they give the same remainder when divided by that number.

    〔数〕(数论)以…为模

    19 and 64 are congruent modulo 5
    8 is equivalent to 1 in arithmetic modulo 7
    Example sentencesExamples
    • Each time you are ready to make a flip, you note the number that appears in the upper righthand corner, and calculate the successor of that number modulo 4.
    • All that is left to determine is the case of linking numbers congruent to 0 modulo 4.
    • I mathematically proved that the repeated addition process is the same as looking at the number modulo 9, i.e. divide by 9 and look at the remainder.
    • In particular he examined the remainders of powers of a number modulo n.
    • He also made contributions on the uniform distribution of numbers modulo 1 which are fundamental in analytic number theory.
    1. 1.1as modifier Using moduli.
      按模(的)
      modulo operations

      按模运算。

      Example sentencesExamples
      • In the mass-conserving variation, modulo 3 arithmetic is more useful.

Origin

Late 19th century: from Latin, ablative of modulus (see modulus).

Definition of modulo in US English:

modulo

prepositionˈmäjəˌlō
Mathematics
  • 1(in number theory) with respect to or using a modulus of a specified number. Two numbers are congruent modulo a given number if they give the same remainder when divided by that number.

    〔数〕(数论)以…为模

    19 and 64 are congruent modulo 5
    Example sentencesExamples
    • In particular he examined the remainders of powers of a number modulo n.
    • Each time you are ready to make a flip, you note the number that appears in the upper righthand corner, and calculate the successor of that number modulo 4.
    • He also made contributions on the uniform distribution of numbers modulo 1 which are fundamental in analytic number theory.
    • I mathematically proved that the repeated addition process is the same as looking at the number modulo 9, i.e. divide by 9 and look at the remainder.
    • All that is left to determine is the case of linking numbers congruent to 0 modulo 4.
    1. 1.1as modifier Using moduli.
      按模(的)
      modulo operations

      按模运算。

      Example sentencesExamples
      • In the mass-conserving variation, modulo 3 arithmetic is more useful.

Origin

Late 19th century: from Latin, ablative of modulus (see modulus).

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