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modulus

/ˈmɒd.jʊ.ləs/

1 entry

noun

C1formalcommonscientific/ˈmɒd.jʊ.ləs/

A noun with multiple meanings: in mathematics, it refers to an integer that divides the difference between two other integers without a remainder, or the absolute value of a complex number; in physics, it denotes a coefficient expressing how much of a specified property a substance possesses.

  • 🇷🇺Существительное с несколькими значениями: в математике — целое число, на которое разность двух других целых чисел делится без остатка, или абсолютное значение комплексного числа; в физике — коэффициент, выражающий степень обладания веществом определённым свойством.
  1. Modular arithmetic C1 formal

    An integer that can be divided without remainder into the difference between two other integers.

    • In modular arithmetic, 5 and 12 are congruent modulo 7.
    • The modulus of 10 and 3 is 1 because 10 mod 3 = 1.
    • We use the modulus to find the remainder in division.

    🇷🇺Модуль

  2. Absolute value C1 formal

    The absolute value of a complex number, representing its distance from the origin in the complex plane.

    • The modulus of the complex number 3+4i is 5.
    • To find the modulus, take the square root of the sum of the squares of the real and imaginary parts.
    • The modulus of a real number is its absolute value.

    🇷🇺Модуль

    Synonyms: absolute valuemagnitude

  3. Physical coefficient C2 formal scientific

    A coefficient that expresses how much of a specified property is possessed by a specified substance.

    • Young's modulus measures the stiffness of a material.
    • The bulk modulus describes a substance's resistance to uniform compression.
    • Shear modulus is used to calculate a material's response to shear stress.

    🇷🇺Модуль

    Synonyms: coefficientconstantfactor

  • moduli plural form
  • moduli's possessive plural form
  • modulus's possessive singular form