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  2. Karamata's inequality - Wikipedia

    en.wikipedia.org/wiki/Karamata's_inequality

    The finite form of Jensen's inequality is a special case of this result. Consider the real numbers x 1, …, x n ∈ I and let := + + + denote their arithmetic mean.Then (x 1, …, x n) majorizes the n-tuple (a, a, …, a), since the arithmetic mean of the i largest numbers of (x 1, …, x n) is at least as large as the arithmetic mean a of all the n numbers, for every i ∈ {1, …, n − 1}.

  3. List of inequalities - Wikipedia

    en.wikipedia.org/wiki/List_of_inequalities

    Bernstein inequalities (probability theory) Boole's inequality; Borell–TIS inequality; BRS-inequality; Burkholder's inequality; Burkholder–Davis–Gundy inequalities; Cantelli's inequality; Chebyshev's inequality; Chernoff's inequality; Chung–Erdős inequality; Concentration inequality; Cramér–Rao inequality; Doob's martingale inequality

  4. List of Runge–Kutta methods - Wikipedia

    en.wikipedia.org/wiki/List_of_Runge–Kutta_methods

    Two-stage 2nd order Diagonally Implicit Runge–Kutta method: x x 0 1 1 − x x 1 − x x {\displaystyle {\begin{array}{c|cc}x&x&0\\1&1-x&x\\\hline &1-x&x\\\end{array}}} Again, this Diagonally Implicit Runge–Kutta method is A-stable if and only if x ≥ 1 4 {\textstyle x\geq {\frac {1}{4}}} .

  5. Numerical methods for ordinary differential equations - Wikipedia

    en.wikipedia.org/wiki/Numerical_methods_for...

    For example, the second-order equation y′′ = −y can be rewritten as two first-order equations: y′ = z and z′ = −y. In this section, we describe numerical methods for IVPs, and remark that boundary value problems (BVPs) require a different set of tools. In a BVP, one defines values, or components of the solution y at more than one ...

  6. Inequality (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Inequality_(mathematics)

    The feasible regions of linear programming are defined by a set of inequalities. In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. [1] It is used most often to compare two numbers on the number line by their size.

  7. Prepare for the coldest Arctic blast: How to keep your pipes ...

    www.aol.com/prepare-coldest-artic-blast-keep...

    A winter storm is expected to begin impacting the Central Plains by Saturday night, with heavy snow and significant icing potential spreading eastward to the Mid-Atlantic by early next week.

  8. Falcons coach Raheem Morris explains timeout approach late in ...

    www.aol.com/falcons-coach-raheem-morris-explains...

    Running back Bijan Robinson and Penix, making his second career start, had the Falcons moving in a well-executed two-minute drill. With 46 seconds to play, Penix found Mooney across the middle for ...

  9. Linear matrix inequality - Wikipedia

    en.wikipedia.org/wiki/Linear_matrix_inequality

    In convex optimization, a linear matrix inequality (LMI) is an expression of the form ⁡ ():= + + + + where = [, =, …,] is a real vector,,,, …, are symmetric matrices, is a generalized inequality meaning is a positive semidefinite matrix belonging to the positive semidefinite cone + in the subspace of symmetric matrices .