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  2. Pillai's arithmetical function - Wikipedia

    en.wikipedia.org/wiki/Pillai's_arithmetical_function

    In number theory, the gcd-sum function, [1] also called Pillai's arithmetical function, [1] is defined for every by = = (,) or ...

  3. Computational complexity of mathematical operations - Wikipedia

    en.wikipedia.org/wiki/Computational_complexity...

    Graphs of functions commonly used in the analysis of algorithms, showing the number of operations versus input size for each function. The following tables list the computational complexity of various algorithms for common mathematical operations.

  4. Euclidean algorithm - Wikipedia

    en.wikipedia.org/wiki/Euclidean_algorithm

    On the right Nicomachus's example with numbers 49 and 21 resulting in their GCD of 7 (derived from Heath 1908:300). In mathematics , the Euclidean algorithm , [ note 1 ] or Euclid's algorithm , is an efficient method for computing the greatest common divisor (GCD) of two integers , the largest number that divides them both without a remainder .

  5. Binary GCD algorithm - Wikipedia

    en.wikipedia.org/wiki/Binary_GCD_algorithm

    Visualisation of using the binary GCD algorithm to find the greatest common divisor (GCD) of 36 and 24. Thus, the GCD is 2 2 × 3 = 12.. The binary GCD algorithm, also known as Stein's algorithm or the binary Euclidean algorithm, [1] [2] is an algorithm that computes the greatest common divisor (GCD) of two nonnegative integers.

  6. Polynomial greatest common divisor - Wikipedia

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

    Therefore, equalities like d = gcd(p, q) or gcd(p, q) = gcd(r, s) are common abuses of notation which should be read "d is a GCD of p and q" and "p and q have the same set of GCDs as r and s". In particular, gcd(p, q) = 1 means that the invertible constants are the only common divisors.

  7. 1 in 3 older Americans take aspirin daily. What does it do?

    www.aol.com/1-3-older-americans-aspirin...

    Nearly one in three Americans over the age of 60 — roughly 19 million people — take aspirin daily, according to a 2021 study in Annals of Internal Medicine.. Should you be among that group?

  8. Multiplicative group of integers modulo n - Wikipedia

    en.wikipedia.org/wiki/Multiplicative_group_of...

    Integers in the same congruence class a ≡ b (mod n) satisfy gcd(a, n) = gcd(b, n); hence one is coprime to n if and only if the other is. Thus the notion of congruence classes modulo n that are coprime to n is well-defined. Since gcd(a, n) = 1 and gcd(b, n) = 1 implies gcd(ab, n) = 1, the set of classes coprime to n is closed under ...

  9. Smith normal form - Wikipedia

    en.wikipedia.org/wiki/Smith_normal_form

    In particular, is also a Bézout domain, so it is a gcd domain and the gcd of any two elements satisfies a Bézout's identity. To put a matrix into Smith normal form, one can repeatedly apply the following, where t {\displaystyle t} loops from 1 to m {\displaystyle m} .