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2. 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.

3. Goldbach's conjecture - Wikipedia

   en.wikipedia.org/wiki/Goldbach's_conjecture

   where the product is over all primes p, and γ c,p (n) is the number of solutions to the equation n = q 1 + ⋯ + q c mod p in modular arithmetic, subject to the constraints q 1, …, q c ≠ 0 mod p. This formula has been rigorously proven to be asymptotically valid for c ≥ 3 from the work of Ivan Matveevich Vinogradov, but is still only a ...

4. Bézout's identity - Wikipedia

   en.wikipedia.org/wiki/Bézout's_identity

   Here the greatest common divisor of 0 and 0 is taken to be 0.The integers x and y are called Bézout coefficients for (a, b); they are not unique.A pair of Bézout coefficients can be computed by the extended Euclidean algorithm, and this pair is, in the case of integers one of the two pairs such that | x | ≤ | b/d | and | y | ≤ | a/d |; equality occurs only if one of a and b is a multiple ...

5. List of mathematical proofs - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical_proofs

   Gödel number. Gödel's incompleteness theorem; Group (mathematics) Halting problem. insolubility of the halting problem; Harmonic series (mathematics) divergence of the (standard) harmonic series; Highly composite number; Area of hyperbolic sector, basis of hyperbolic angle; Infinite series. convergence of the geometric series with first term ...

6. Coin problem - Wikipedia

   en.wikipedia.org/wiki/Coin_problem

   The Frobenius number exists as long as the set of coin denominations is setwise coprime. There is an explicit formula for the Frobenius number when there are only two different coin denominations, and : the Frobenius number is then . If the number of coin denominations is three or more, no explicit formula is known.

7. Halep dismayed at how Swiatek's doping case was handled ... - AOL

   www.aol.com/halep-dismayed-swiateks-doping-case...

   Simona Halep, the former Wimbledon and French Open champion tennis player, has expressed dismay at the way Iga Swiatek's doping case was handled compared to her own. Halep, a 33-year-old Romanian ...

8. Thomas R. Cech - Pay Pals - The Huffington Post

   data.huffingtonpost.com/paypals/thomas-r-cech

   From November 2009 to December 2012, if you bought shares in companies when Thomas R. Cech joined the board, and sold them when he left, you would have a 33.5 percent return on your investment, compared to a 36.4 percent return from the S&P 500.

9. Maximum and minimum - Wikipedia

   en.wikipedia.org/wiki/Maximum_and_minimum

   Likewise, a greatest element of a partially ordered set (poset) is an upper bound of the set which is contained within the set, whereas a maximal element m of a poset A is an element of A such that if m ≤ b (for any b in A), then m = b. Any least element or greatest element of a poset is unique, but a poset can have several minimal or maximal ...