enow.com Web Search

Search results

1. Results from the WOW.Com Content Network

2. Polynomial greatest common divisor - Wikipedia

   en.wikipedia.org/wiki/Polynomial_greatest_common...

   hide. In algebra, the greatest common divisor (frequently abbreviated as GCD) of two polynomials is a polynomial, of the highest possible degree, that is a factor of both the two original polynomials. This concept is analogous to the greatest common divisor of two integers. In the important case of univariate polynomials over a field the ...

3. Greatest common divisor - Wikipedia

   en.wikipedia.org/wiki/Greatest_common_divisor

   Appearance. In mathematics, the greatest common divisor (GCD), also known as greatest common factor (GCF), of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, y, the greatest common divisor of x and y is denoted . For example, the GCD of 8 and 12 is 4, that is ...

4. Euclidean algorithm - Wikipedia

   en.wikipedia.org/wiki/Euclidean_algorithm

   A key advantage of the Euclidean algorithm is that it can find the GCD efficiently without having to compute the prime factors. [9] [10] Factorization of large integers is believed to be a computationally very difficult problem, and the security of many widely used cryptographic protocols is based upon its infeasibility. [11]

5. Fermat's factorization method - Wikipedia

   en.wikipedia.org/wiki/Fermat's_factorization_method

   Fermat's factorization method, named after Pierre de Fermat, is based on the representation of an odd integer as the difference of two squares: That difference is algebraically factorable as ; if neither factor equals one, it is a proper factorization of N. Each odd number has such a representation. Indeed, if is a factorization of N, then.

6. How to Solve It - Wikipedia

   en.wikipedia.org/wiki/How_to_Solve_It

   Four principles. How to Solve It suggests the following steps when solving a mathematical problem: First, you have to understand the problem. [ 2 ] After understanding, make a plan. [ 3 ] Carry out the plan. [ 4 ] Look back on your work. [ 5 ]

7. Lagrange's four-square theorem - Wikipedia

   en.wikipedia.org/wiki/Lagrange's_four-square_theorem

   Lagrange's four-square theorem, also known as Bachet's conjecture, states that every nonnegative integer can be represented as a sum of four non-negative integer squares. 1 That is, the squares form an additive basis of order four. where the four numbers are integers. For illustration, 3, 31, and 310 can be represented as the sum of four ...

8. Dixon's factorization method - Wikipedia

   en.wikipedia.org/wiki/Dixon's_factorization_method

   In number theory, Dixon's factorization method (also Dixon's random squares method [1] or Dixon's algorithm) is a general-purpose integer factorization algorithm; it is the prototypical factor base method. Unlike for other factor base methods, its run-time bound comes with a rigorous proof that does not rely on conjectures about the smoothness ...

9. Polyominoes: Puzzles, Patterns, Problems, and Packings

   en.wikipedia.org/wiki/Polyominoes:_Puzzles...

   ISBN. 9780691024448. Polyominoes: Puzzles, Patterns, Problems, and Packings is a mathematics book on polyominoes, the shapes formed by connecting some number of unit squares edge-to-edge. It was written by Solomon Golomb, and is "universally regarded as a classic in recreational mathematics ". [1] The Basic Library List Committee of the ...