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  2. Formulas for generating Pythagorean triples - Wikipedia

    en.wikipedia.org/wiki/Formulas_for_generating...

    To calculate a Pythagorean triple, take any term of this sequence and convert it to an improper fraction (for mixed number , the corresponding improper fraction is ). Then its numerator and denominator are the sides, b and a , of a right triangle, and the hypotenuse is b + 1 .

  3. Greatest common divisor - Wikipedia

    en.wikipedia.org/wiki/Greatest_common_divisor

    The greatest common divisor (GCD) of integers a and b, at least one of which is nonzero, is the greatest positive integer d such that d is a divisor of both a and b; that is, there are integers e and f such that a = de and b = df, and d is the largest such integer.

  4. Factorization - Wikipedia

    en.wikipedia.org/wiki/Factorization

    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. For example, 3 × 5 is an integer factorization of 15, and (x – 2)(x + 2) is a polynomial ...

  5. Four factor formula - Wikipedia

    en.wikipedia.org/wiki/Four_factor_formula

    The four-factor formula, also known as Fermi's four factor formula is used in nuclear engineering to determine the multiplication of a nuclear chain reaction in an infinite medium. Four-factor formula: k ∞ = η f p ε {\displaystyle k_{\infty }=\eta fp\varepsilon } [ 1 ]

  6. Table of Gaussian integer factorizations - Wikipedia

    en.wikipedia.org/wiki/Table_of_Gaussian_Integer...

    The entry 4+2i = −i(1+i) 2 (2+i), for example, could also be written as 4+2i= (1+i) 2 (1−2i). The entries in the table resolve this ambiguity by the following convention: the factors are primes in the right complex half plane with absolute value of the real part larger than or equal to the absolute value of the imaginary part.

  7. Factorization of polynomials - Wikipedia

    en.wikipedia.org/wiki/Factorization_of_polynomials

    A simplified version of the LLL factorization algorithm is as follows: calculate a complex (or p-adic) root α of the polynomial () to high precision, then use the Lenstra–Lenstra–Lovász lattice basis reduction algorithm to find an approximate linear relation between 1, α, α 2, α 3, . . . with integer coefficients, which might be an ...

  8. What is a factor rate and how to calculate it - AOL

    www.aol.com/finance/factor-rate-calculate...

    How to calculate a factor rate. Using the factor rate provided by the lender, you can quickly calculate the cost of the borrowed funds. For example, if you borrowed $100,000 with a factor rate of ...

  9. Least common multiple - Wikipedia

    en.wikipedia.org/wiki/Least_common_multiple

    However, any two least common multiples of the same pair of elements are associates. [10] In a unique factorization domain , any two elements have a least common multiple. [ 11 ] In a principal ideal domain , the least common multiple of a and b can be characterised as a generator of the intersection of the ideals generated by a and b [ 10 ...