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  2. Linear inequality - Wikipedia

    en.wikipedia.org/wiki/Linear_inequality

    A linear programming problem seeks to optimize (find a maximum or minimum value) a function (called the objective function) subject to a number of constraints on the variables which, in general, are linear inequalities. [6] The list of constraints is a system of linear inequalities.

  3. Farkas' lemma - Wikipedia

    en.wikipedia.org/wiki/Farkas'_lemma

    There exist y 1, y 2 such that 6y 1 + 3y 2 ≥ 0, 4y 1 ≥ 0, and b 1 y 1 + b 2 y 2 < 0. Here is a proof of the lemma in this special case: If b 2 ≥ 0 and b 1 − 2b 2 ≥ 0, then option 1 is true, since the solution of the linear equations is = and =.

  4. 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 .

  5. Cramer's rule - Wikipedia

    en.wikipedia.org/wiki/Cramer's_rule

    In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution. It expresses the solution in terms of the determinants of the (square) coefficient matrix and of matrices obtained from it by replacing one column by the ...

  6. Linear programming - Wikipedia

    en.wikipedia.org/wiki/Linear_programming

    More formally, linear programming is a technique for the optimization of a linear objective function, subject to linear equality and linear inequality constraints. Its feasible region is a convex polytope , which is a set defined as the intersection of finitely many half spaces , each of which is defined by a linear inequality.

  7. 24 Discontinued '70s and '80s Foods That We'll Never ... - AOL

    www.aol.com/finance/24-discontinued-70s-80s...

    4. Jell-O Pudding Pops. Once a beloved treat of the 70s and 80s, Pudding Pops were a freezer aisle favorite that blended the creamy texture of pudding with the chill of a popsicle.

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