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  2. Remainder - Wikipedia

    en.wikipedia.org/wiki/Remainder

    The remainder, as defined above, is called the least positive remainder or simply the remainder. [2] The integer a is either a multiple of d , or lies in the interval between consecutive multiples of d , namely, q⋅d and ( q + 1) d (for positive q ).

  3. Remainder (law) - Wikipedia

    en.wikipedia.org/wiki/Remainder_(law)

    An indefeasibly vested remainder is certain to become possessory in the future, and cannot be divested. [4]For example A conveys to "B for life, then to C and C 's heirs." C has an indefeasibly vested remainder, certain to become possessory upon termination of B 's life estate (when B dies).

  4. Modulo - Wikipedia

    en.wikipedia.org/wiki/Modulo

    In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, called the modulus of the operation.. Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor.

  5. Division (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Division_(mathematics)

    The division with remainder or Euclidean division of two natural numbers provides an integer quotient, which is the number of times the second number is completely contained in the first number, and a remainder, which is the part of the first number that remains, when in the course of computing the quotient, no further full chunk of the size of ...

  6. Euclidean division - Wikipedia

    en.wikipedia.org/wiki/Euclidean_division

    In arithmetic, Euclidean division – or division with remainder – is the process of dividing one integer (the dividend) by another (the divisor), in a way that produces an integer quotient and a natural number remainder strictly smaller than the absolute value of the divisor. A fundamental property is that the quotient and the remainder ...

  7. Prime number - Wikipedia

    en.wikipedia.org/wiki/Prime_number

    is an infinite arithmetic progression with modulus 9. In an arithmetic progression, all the numbers have the same remainder when divided by the modulus; in this example, the remainder is 3. Because both the modulus 9 and the remainder 3 are multiples of 3, so is every element in the sequence.

  8. Remainderman - Wikipedia

    en.wikipedia.org/wiki/Remainderman

    In common law countries a remainderman is a person who inherits or is entitled to inherit property upon the termination of the estate of the former owner. [1] Usually, this occurs due to the death or termination of the former owner's life estate, but this can also occur due to a specific notation in a trust passing ownership from one person to another.

  9. Modular arithmetic - Wikipedia

    en.wikipedia.org/wiki/Modular_arithmetic

    where 0 ≤ r < m is the common remainder. We recover the previous relation ( a − b = k m ) by subtracting these two expressions and setting k = p − q . Because the congruence modulo m is defined by the divisibility by m and because −1 is a unit in the ring of integers, a number is divisible by − m exactly if it is divisible by m .