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  2. William Lowell Putnam Mathematical Competition - Wikipedia

    en.wikipedia.org/wiki/William_Lowell_Putnam...

    The William Lowell Putnam Mathematical Competition, often abbreviated to Putnam Competition, is an annual mathematics competition for undergraduate college students enrolled at institutions of higher learning in the United States and Canada (regardless of the students' nationalities). It awards a scholarship and cash prizes ranging from $250 to ...

  3. Punnett square - Wikipedia

    en.wikipedia.org/wiki/Punnett_square

    The Punnett square is a square diagram that is used to predict the genotypes of a particular cross or breeding experiment. It is named after Reginald C. Punnett, who devised the approach in 1905. [3][4][5][6][7][8] The diagram is used by biologists to determine the probability of an offspring having a particular genotype.

  4. International Mathematical Olympiad - Wikipedia

    en.wikipedia.org/wiki/International_Mathematical...

    The International Mathematical Olympiad (IMO) is a mathematical olympiad for pre-university students, and is the oldest of the International Science Olympiads. [1] It is “the most prestigious” mathematical competition in the world. The first IMO was held in Romania in 1959.

  5. DPLL algorithm - Wikipedia

    en.wikipedia.org/wiki/DPLL_algorithm

    O ( n ) {\displaystyle O (n)} (basic algorithm) In logic and computer science, the Davis–Putnam–Logemann–Loveland (DPLL) algorithm is a complete, backtracking -based search algorithm for deciding the satisfiability of propositional logic formulae in conjunctive normal form, i.e. for solving the CNF-SAT problem.

  6. Hilbert's tenth problem - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_tenth_problem

    Hilbert's tenth problem is the tenth on the list of mathematical problems that the German mathematician David Hilbert posed in 1900. It is the challenge to provide a general algorithm that, for any given Diophantine equation (a polynomial equation with integer coefficients and a finite number of unknowns), can decide whether the equation has a solution with all unknowns taking integer values.

  7. Proof that 22/7 exceeds π - Wikipedia

    en.wikipedia.org/wiki/Proof_that_22/7_exceeds_π

    The purpose of the proof is not primarily to convince its readers that ⁠ 22 7 ⁠ (or ⁠3 1 7 ⁠) is indeed bigger than π; systematic methods of computing the value of π exist. If one knows that π is approximately 3.14159, then it trivially follows that π < ⁠ 22 7 ⁠, which is approximately 3.142857. But it takes much less work to ...

  8. Is Logic Empirical? - Wikipedia

    en.wikipedia.org/wiki/Is_Logic_Empirical?

    "Is Logic Empirical?" is the title of two articles (one by Hilary Putnam and another by Michael Dummett) that discuss the idea that the algebraic properties of logic may, or should, be empirically determined; in particular, they deal with the question of whether empirical facts about quantum phenomena may provide grounds for revising classical logic as a consistent logical rendering of reality.

  9. Ramsey theory - Wikipedia

    en.wikipedia.org/wiki/Ramsey_theory

    Ramsey theory. Ramsey theory, named after the British mathematician and philosopher Frank P. Ramsey, is a branch of the mathematical field of combinatorics that focuses on the appearance of order in a substructure given a structure of a known size. Problems in Ramsey theory typically ask a question of the form: "how big must some structure be ...