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  2. Glicko rating system - Wikipedia

    en.wikipedia.org/wiki/Glicko_rating_system

    Mark Glickman created the Glicko rating system in 1995 as an improvement on the Elo rating system. [1]Both the Glicko and Glicko-2 rating systems are under public domain and have been implemented on game servers online like Counter-Strike: Global Offensive, Team Fortress 2, [2] Dota 2, [3] Guild Wars 2, [4] Splatoon 2, [5] Online-go.com, [6] Lichess and Chess.com.

  3. 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.

  4. List of limits - Wikipedia

    en.wikipedia.org/wiki/List_of_limits

    In general, any infinite series is the limit of its partial sums. For example, an analytic function is the limit of its Taylor series, within its radius of convergence. = =. This is known as the harmonic series. [6]

  5. 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 ...

  6. Elo rating system - Wikipedia

    en.wikipedia.org/wiki/Elo_rating_system

    Mathematically, however, the logistic function is more convenient to work with than the normal distribution. [13] FIDE continues to use the rating difference table as proposed by Elo. [14]: table 8.1b The development of the Percentage Expectancy Table (table 2.11) is described in more detail by Elo as follows: [15]

  7. Comparison theorem - Wikipedia

    en.wikipedia.org/wiki/Comparison_theorem

    In the theory of differential equations, comparison theorems assert particular properties of solutions of a differential equation (or of a system thereof), provided that an auxiliary equation/inequality (or a system thereof) possesses a certain property. Differential (or integral) inequalities, derived from differential (respectively, integral ...

  8. Linear recurrence with constant coefficients - Wikipedia

    en.wikipedia.org/wiki/Linear_recurrence_with...

    In mathematics (including combinatorics, linear algebra, and dynamical systems), a linear recurrence with constant coefficients [1]: ch. 17 [2]: ch. 10 (also known as a linear recurrence relation or linear difference equation) sets equal to 0 a polynomial that is linear in the various iterates of a variable—that is, in the values of the elements of a sequence.

  9. Rank of a group - Wikipedia

    en.wikipedia.org/wiki/Rank_of_a_group

    There is a dual notion of co-rank of a finitely generated group G defined as the largest cardinality of X such that there exists an onto homomorphism G → F(X). Unlike rank, co-rank is always algorithmically computable for finitely presented groups, [17] using the algorithm of Makanin and Razborov for solving systems of equations in free groups.