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  2. Lagrange multiplier - Wikipedia

    en.wikipedia.org/wiki/Lagrange_multiplier

    The method of Lagrange multipliers can be extended to solve problems with multiple constraints using a similar argument. Consider a paraboloid subject to two line constraints that intersect at a single point. As the only feasible solution, this point is obviously a constrained extremum.

  3. Lagrange multipliers on Banach spaces - Wikipedia

    en.wikipedia.org/wiki/Lagrange_multipliers_on...

    In the field of calculus of variations in mathematics, the method of Lagrange multipliers on Banach spaces can be used to solve certain infinite-dimensional constrained optimization problems. The method is a generalization of the classical method of Lagrange multipliers as used to find extrema of a function of finitely many variables.

  4. Sum of two squares theorem - Wikipedia

    en.wikipedia.org/wiki/Sum_of_two_squares_theorem

    The prime decomposition of the number 2450 is given by 2450 = 2 · 5 2 · 7 2.Of the primes occurring in this decomposition, 2, 5, and 7, only 7 is congruent to 3 modulo 4.

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    The AOL.com video experience serves up the best video content from AOL and around the web, curating informative and entertaining snackable videos.

  6. Lagrangian relaxation - Wikipedia

    en.wikipedia.org/wiki/Lagrangian_relaxation

    The method penalizes violations of inequality constraints using a Lagrange multiplier, which imposes a cost on violations. These added costs are used instead of the strict inequality constraints in the optimization. In practice, this relaxed problem can often be solved more easily than the original problem.

  7. Lattice multiplication - Wikipedia

    en.wikipedia.org/wiki/Lattice_multiplication

    A grid is drawn up, and each cell is split diagonally. The two multiplicands of the product to be calculated are written along the top and right side of the lattice, respectively, with one digit per column across the top for the first multiplicand (the number written left to right), and one digit per row down the right side for the second multiplicand (the number written top-down).

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