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  2. Factorization - Wikipedia

    en.wikipedia.org/wiki/Factorization

    The polynomial x 2 + cx + d, where a + b = c and ab = d, can be factorized into (x + a)(x + b).. In mathematics, factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

  3. Factorization of polynomials - Wikipedia

    en.wikipedia.org/wiki/Factorization_of_polynomials

    If two or more factors of a polynomial are identical, then the polynomial is a multiple of the square of this factor. The multiple factor is also a factor of the polynomial's derivative (with respect to any of the variables, if several). For univariate polynomials, multiple factors are equivalent to multiple roots (over a suitable extension field).

  4. Integer factorization - Wikipedia

    en.wikipedia.org/wiki/Integer_factorization

    A general-purpose factoring algorithm, also known as a Category 2, Second Category, or Kraitchik family algorithm, [10] has a running time which depends solely on the size of the integer to be factored. This is the type of algorithm used to factor RSA numbers. Most general-purpose factoring algorithms are based on the congruence of squares method.

  5. Pollard's rho algorithm - Wikipedia

    en.wikipedia.org/wiki/Pollard's_rho_algorithm

    Occasionally it may cause the algorithm to fail by introducing a repeated factor, for instance when ⁠ ⁠ is a square. But it then suffices to go back to the previous gcd term, where gcd ( z , n ) = 1 {\displaystyle \gcd(z,n)=1} , and use the regular ρ algorithm from there.

  6. Deepfakes of Elon Musk contribute to billions in fraud losses

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    This can be used as a reference if multiple models agree on the same answer with confidence (e.g., over 80% for AI-generated or below 20% for real video). We are currently developing a more ...

  7. 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).

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    Just Words. If you love Scrabble, you'll love the wonderful word game fun of Just Words. Play Just Words free online! By Masque Publishing

  9. This Nighttime Habit Could Be A Key Indicator Of Dementia ...

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    Try to exercise every day (but not close to bedtime) Get natural sunlight for at least 30 minutes day. Avoid nicotine and caffeine. Don’t take naps after mid-afternoon.

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