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  2. Cholesky decomposition - Wikipedia

    en.wikipedia.org/wiki/Cholesky_decomposition

    In linear algebra, the Cholesky decomposition or Cholesky factorization (pronounced / ʃ ə ˈ l ɛ s k i / shə-LES-kee) is a decomposition of a Hermitian, positive-definite matrix into the product of a lower triangular matrix and its conjugate transpose, which is useful for efficient numerical solutions, e.g., Monte Carlo simulations.

  3. Higgs boson - Wikipedia

    en.wikipedia.org/wiki/Higgs_boson

    [63] [64] Initially, the mathematical theory behind spontaneous symmetry breaking was conceived and published within particle physics by Yoichiro Nambu in 1960 [65] (and somewhat anticipated by Ernst Stueckelberg in 1938 [66]), and the concept that such a mechanism could offer a possible solution for the "mass problem" was originally suggested ...

  4. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Many easily stated number problems have solutions that require sophisticated methods, often from across mathematics. A prominent example is Fermat's Last Theorem . This conjecture was stated in 1637 by Pierre de Fermat, but it was proved only in 1994 by Andrew Wiles , who used tools including scheme theory from algebraic geometry , category ...

  5. Scientific notation - Wikipedia

    en.wikipedia.org/wiki/Scientific_notation

    Any real number can be written in the form m × 10 ^ n in many ways: for example, 350 can be written as 3.5 × 10 2 or 35 × 10 1 or 350 × 10 0. In normalized scientific notation (called "standard form" in the United Kingdom), the exponent n is chosen so that the absolute value of m remains at least one but less than ten ( 1 ≤ | m | < 10 ).

  6. Six degrees of separation - Wikipedia

    en.wikipedia.org/wiki/Six_degrees_of_separation

    Thus if N = 300,000,000 (90% of the US population, with 10% of population being too young to participate) and K = 30 then Degrees of Separation = APL = 19.5 / 3.4 = 5.7 and if N = 7,200,000,000 (90% of the world population, with 10% of population being too young to participate) and K = 30 then Degrees of Separation = APL = 22.7 / 3.4 = 6.7.

  7. Gottfried Wilhelm Leibniz - Wikipedia

    en.wikipedia.org/wiki/Gottfried_Wilhelm_Leibniz

    Gottfried Wilhelm Leibniz (or Leibnitz; [a] 1 July 1646 [O.S. 21 June] – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat who is credited, alongside Sir Isaac Newton, with the creation of calculus in addition to many other branches of mathematics, such as binary arithmetic and statistics.

  8. AP United States Government and Politics - Wikipedia

    en.wikipedia.org/wiki/AP_United_States...

    Advanced Placement (AP) United States Government and Politics (often shortened to AP Gov or AP GoPo and sometimes referred to as AP American Government or simply AP Government) is a college-level course and examination offered to high school students through the College Board's Advanced Placement Program.

  9. Problem solving - Wikipedia

    en.wikipedia.org/wiki/Problem_solving

    Problem solving in psychology refers to the process of finding solutions to problems encountered in life. [5] Solutions to these problems are usually situation- or context-specific. The process starts with problem finding and problem shaping, in which the problem is discovered and simplified. The next step is to generate possible solutions and ...