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  2. Quota method - Wikipedia

    en.wikipedia.org/wiki/Largest_remainders_method

    t. e. The quota methods are a family of apportionment rules, i.e. algorithms for distributing the seats in a legislative body among a number of administrative divisions. The quota methods are based on calculating a certain electoral quota, i.e. a given number of votes needed to win a seat. This is used to calculate each party's seat entitlement.

  3. Remainder - Wikipedia

    en.wikipedia.org/wiki/Remainder

    Remainder. Integer division with remainder. In mathematics, the remainder is the amount "left over" after performing some computation. In arithmetic, the remainder is the integer "left over" after dividing one integer by another to produce an integer quotient ( integer division ).

  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. Taylor's theorem - Wikipedia

    en.wikipedia.org/wiki/Taylor's_theorem

    v. t. e. In calculus, Taylor's theorem gives an approximation of a -times differentiable function around a given point by a polynomial of degree , called the -th-order Taylor polynomial. For a smooth function, the Taylor polynomial is the truncation at the order of the Taylor series of the function.

  6. Divisibility rule - Wikipedia

    en.wikipedia.org/wiki/Divisibility_rule

    Calculate the remainders left by each product on dividing by 7. Add these remainders. The remainder of the sum when divided by 7 is the remainder of the given number when divided by 7. For example: The number 194,536 leaves a remainder of 6 on dividing by 7. The number 510,517,813 leaves a remainder of 1 on dividing by 7.

  7. Casting out nines - Wikipedia

    en.wikipedia.org/wiki/Casting_out_nines

    Casting out nines is any of three arithmetical procedures: [ 1] Adding the decimal digits of a positive whole number, while optionally ignoring any 9s or digits which sum to 9 or a multiple of 9. The result of this procedure is a number which is smaller than the original whenever the original has more than one digit, leaves the same remainder ...

  8. Highest averages method - Wikipedia

    en.wikipedia.org/wiki/Highest_averages_method

    The highest averages, divisor, or divide-and-round methods[ 1] are a family of apportionment algorithms that aim to fairly divide a legislature between several groups, such as political parties or states. [ 1][ 2] More generally, divisor methods can be used to round shares of a total, e.g. percentage points (which must add up to 100). [ 2]

  9. 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 ...

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