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Modular multiplicative inverse. In mathematics, particularly in the area of arithmetic, a modular multiplicative inverse of an integer a is an integer x such that the product ax is congruent to 1 with respect to the modulus m. [1] In the standard notation of modular arithmetic this congruence is written as. ≡,
The Luhn algorithm or Luhn formula, also known as the " modulus 10" or "mod 10" algorithm, named after its creator, IBM scientist Hans Peter Luhn, is a simple check digit formula used to validate a variety of identification numbers. It is described in U.S. Patent No. 2,950,048, granted on August 23, 1960. [1]
Adding 4 hours to 9 o'clock gives 1 o'clock, since 13 is congruent to 1 modulo 12. In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones ...
Steenrod algebra. In algebraic topology, a Steenrod algebra was defined by Henri Cartan ( 1955) to be the algebra of stable cohomology operations for mod cohomology. For a given prime number , the Steenrod algebra is the graded Hopf algebra over the field of order , consisting of all stable cohomology operations for mod cohomology.
Wilson's theorem. In algebra and number theory, Wilson's theorem states that a natural number n > 1 is a prime number if and only if the product of all the positive integers less than n is one less than a multiple of n. That is (using the notations of modular arithmetic ), the factorial satisfies. exactly when n is a prime number.
The original video by Pinkfong is now the most viewed video on the site. On October 29, 2020, Baby Shark surpassed 7 billion views, and on November 2, 2020, it passed Despacito to become the most viewed video on YouTube. On February 23, 2021, Baby Shark surpassed 8 billion views, becoming the first video to do so.
Modular exponentiation is the remainder when an integer b (the base) is raised to the power e (the exponent), and divided by a positive integer m (the modulus); that is, c = be mod m. From the definition of division, it follows that 0 ≤ c < m . For example, given b = 5, e = 3 and m = 13, dividing 53 = 125 by 13 leaves a remainder of c = 8 .
The music video for LMFAO 's song "Party Rock Anthem" stood as the most-liked video on YouTube in 2012, with 1.56 million likes, until the video for Psy 's "Gangnam Style" surpassed it in September that year with more than 1.57 million likes. Following this accomplishment, "Gangnam Style" entered the Guinness World Records book as the most ...