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  2. Carmichael function - Wikipedia

    en.wikipedia.org/wiki/Carmichael_function

    The Carmichael lambda function of a prime power can be expressed in terms of the Euler totient. Any number that is not 1 or a prime power can be written uniquely as the product of distinct prime powers, in which case λ of the product is the least common multiple of the λ of the prime power factors.

  3. Least common multiple - Wikipedia

    en.wikipedia.org/wiki/Least_common_multiple

    A least common multiple of a and b is a common multiple that is minimal, in the sense that for any other common multiple n of a and b, m divides n. In general, two elements in a commutative ring can have no least common multiple or more than one. However, any two least common multiples of the same pair of elements are associates. [10]

  4. Lehmer random number generator - Wikipedia

    en.wikipedia.org/wiki/Lehmer_random_number_generator

    The Lehmer random number generator [1] (named after D. H. Lehmer), sometimes also referred to as the Park–Miller random number generator (after Stephen K. Park and Keith W. Miller), is a type of linear congruential generator (LCG) that operates in multiplicative group of integers modulo n.

  5. ComfyUI - Wikipedia

    en.wikipedia.org/wiki/ComfyUI

    ComfyUI is an open source, node-based program that allows users to generate images from a series of text prompts.It uses free diffusion models such as Stable Diffusion as the base model for its image capabilities combined with other tools such as ControlNet and LCM Low-rank adaptation with each tool being represented by a node in the program.

  6. Coprime integers - Wikipedia

    en.wikipedia.org/wiki/Coprime_integers

    The least common multiple of a and b is equal to their product ab, i.e. lcm(a, b) = ab. [4] As a consequence of the third point, if a and b are coprime and br ≡ bs (mod a), then r ≡ s (mod a). [5] That is, we may "divide by b" when working modulo a.

  7. LCM - Wikipedia

    en.wikipedia.org/wiki/Lcm

    LCM may refer to: Computing and mathematics. Latent class model, a concept in statistics; Least common multiple, a function of two integers; Living Computer Museum;

  8. Landau's function - Wikipedia

    en.wikipedia.org/wiki/Landau's_function

    In mathematics, Landau's function g(n), named after Edmund Landau, is defined for every natural number n to be the largest order of an element of the symmetric group S n. Equivalently, g ( n ) is the largest least common multiple (lcm) of any partition of n , or the maximum number of times a permutation of n elements can be recursively applied ...

  9. Euclidean algorithm - Wikipedia

    en.wikipedia.org/wiki/Euclidean_algorithm

    function gcd(a, b) while a ≠ b if a > b a := a − b else b := b − a return a The variables a and b alternate holding the previous remainders r k −1 and r k −2 . Assume that a is larger than b at the beginning of an iteration; then a equals r k −2 , since r k −2 > r k −1 .