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  2. Carbon disulfide - Wikipedia

    en.wikipedia.org/wiki/Carbon_disulfide

    Carbon disulfide (also spelled as carbon disulphide) is an inorganic compound with the chemical formula CS 2 and structure S=C=S. It is also considered as the anhydride of thiocarbonic acid . [ 8 ] It is a colorless, flammable, neurotoxic liquid that is used as a building block in organic synthesis.

  3. Elo rating system - Wikipedia

    en.wikipedia.org/wiki/Elo_rating_system

    In 2011 after analyzing 1.5 million FIDE rated games, Jeff Sonas demonstrated according to the Elo formula, two players having a rating difference of X actually have a true difference of around X(5/6). Likewise, one can leave the rating difference alone and divide by 480 instead of 400.

  4. Underdetermined system - Wikipedia

    en.wikipedia.org/wiki/Underdetermined_system

    If, on the other hand, the ranks of these two matrices are equal, the system must have at least one solution; since in an underdetermined system this rank is necessarily less than the number of unknowns, there are indeed an infinitude of solutions, with the general solution having k free parameters where k is the difference between the number ...

  5. Rank correlation - Wikipedia

    en.wikipedia.org/wiki/Rank_correlation

    The only pair that does not support the hypothesis are the two runners with ranks 5 and 6, because in this pair, the runner from Group B had the faster time. By the Kerby simple difference formula, 95% of the data support the hypothesis (19 of 20 pairs), and 5% do not support (1 of 20 pairs), so the rank correlation is r = .95 − .05 = .90.

  6. Allen–Cahn equation - Wikipedia

    en.wikipedia.org/wiki/Allen–Cahn_equation

    The Allen–Cahn equation (after John W. Cahn and Sam Allen) is a reaction–diffusion equation of mathematical physics which describes the process of phase separation in multi-component alloy systems, including order-disorder transitions.

  7. List of limits - Wikipedia

    en.wikipedia.org/wiki/List_of_limits

    This is a list of limits for common functions such as elementary functions. In this article, the terms a , b and c are constants with respect to x . Limits for general functions

  8. Nielsen–Schreier theorem - Wikipedia

    en.wikipedia.org/wiki/Nielsen–Schreier_theorem

    The free group G = π 1 (X) has n = 2 generators corresponding to loops a,b from the base point P in X.The subgroup H of even-length words, with index e = [G : H] = 2, corresponds to the covering graph Y with two vertices corresponding to the cosets H and H' = aH = bH = a −1 H = b − 1 H, and two lifted edges for each of the original loop-edges a,b.

  9. Woodbury matrix identity - Wikipedia

    en.wikipedia.org/wiki/Woodbury_matrix_identity

    Nonsingularity of the latter requires that B −1 exist since it equals B(I + VA −1 UB) and the rank of the latter cannot exceed the rank of B. [7] Since B is invertible, the two B terms flanking the parenthetical quantity inverse in the right-hand side can be replaced with (B −1) −1, which results in the original Woodbury identity.