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  2. Factorization of polynomials over finite fields - Wikipedia

    en.wikipedia.org/wiki/Factorization_of...

    For the fourth time through the loop we get y = 1, z = x + 2, R = (x + 1)(x + 2) 4, with updates i = 5, w = 1 and c = x 6 + 1. Since w = 1, we exit the while loop. Since c ≠ 1, it must be a perfect cube. The cube root of c, obtained by replacing x 3 by x is x 2 + 1, and calling the

  3. Factorization - Wikipedia

    en.wikipedia.org/wiki/Factorization

    For example, 3 × 5 is an integer factorization of 15, and (x2)(x + 2) is a polynomial factorization of x 2 – 4. Factorization is not usually considered meaningful within number systems possessing division , such as the real or complex numbers , since any x {\displaystyle x} can be trivially written as ( x y ) × ( 1 / y ) {\displaystyle ...

  4. Wheel factorization - Wikipedia

    en.wikipedia.org/wiki/Wheel_factorization

    Wheel factorization with n = 2 × 3 × 5 = 30.No primes will occur in the yellow areas. Wheel factorization is a method for generating a sequence of natural numbers by repeated additions, as determined by a number of the first few primes, so that the generated numbers are coprime with these primes, by construction.

  5. Xootr - Wikipedia

    en.wikipedia.org/wiki/Xootr

    Xootr scooters are characterized by 180mm wheels with aluminum hubs, and a hand brake for the front wheel (for the rear on old models). One defining feature of Xootr scooters is the relatively large wheels they are equipped with, as well as the hinge system, which uses a pin. Xootr scooters were originally introduced in 1999 by Nova Cruz ...

  6. Factor theorem - Wikipedia

    en.wikipedia.org/wiki/Factor_theorem

    In algebra, the factor theorem connects polynomial factors with polynomial roots. Specifically, if f ( x ) {\displaystyle f(x)} is a polynomial, then x − a {\displaystyle x-a} is a factor of f ( x ) {\displaystyle f(x)} if and only if f ( a ) = 0 {\displaystyle f(a)=0} (that is, a {\displaystyle a} is a root of the polynomial).

  7. Factor graph - Wikipedia

    en.wikipedia.org/wiki/Factor_graph

    A factor graph is a bipartite graph representing the factorization of a function. ... the first entry is the message evaluated in 0, the second entry is the message ...

  8. Partial fraction decomposition - Wikipedia

    en.wikipedia.org/wiki/Partial_fraction_decomposition

    In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.

  9. Tire balance - Wikipedia

    en.wikipedia.org/wiki/Tire_balance

    Tires with large unbalances are downgraded or rejected. When tires are fitted to wheels at the point of sale, they are measured again on a balancing machine, and correction weights are applied to counteract their combined unbalance. Tires may be rebalanced if driver perceives excessive vibration. Tire balancing is distinct from wheel alignment.