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  1. calculus - Global maximum and minimum of $f (x,y,z)=xyz$ with …

    The global maximum and the global minimum of the function $f (x,y,z)=xyz$ with the constraint $x^2+2y^2+3z^2=6$ can be found using Lagrange multipliers. $\nabla f = \lambda \nabla g$

  2. multivariable calculus - Identifying maximum and minimum in …

    Jun 14, 2024 · Identifying maximum and minimum in Lagrange multiplier problems via compactness of constraint Ask Question Asked 1 year, 5 months ago Modified 1 year, 5 …

  3. Must a minimum weight spanning tree for a graph contain the …

    Mar 3, 2016 · Currently learning about spanning trees and using Kruskal's algorithm and I was wondering whether a minimum weight spanning tree of a weighted graph must contain one of …

  4. Minimum size of a sequence summing to $2013$ that guarantees …

    Nov 25, 2025 · Minimum size of a sequence summing to $2013$ that guarantees a consecutive subset sum of $31$ (still wanted rigorous proof) Ask Question Asked 11 days ago Modified 9 …

  5. Lagrange multipliers - maximum and minimum values given …

    Lagrange multipliers - maximum and minimum values given constraint Ask Question Asked 12 years, 8 months ago Modified 11 years, 8 months ago

  6. combinatorics - Efficient computation of the minimum distance of …

    In this way, you have to generate only a small fraction of all the codewords to find the minimum distance, and the idea can be generalized to any linear code. The first step then is to find a …

  7. optimization - How to prove the sum of squares is minimum ...

    1 More generally, if the objective function is strictly convex (objective is quadratic, check), the feasible region is convex (constraint is linear, check), and the problem is symmetric (i.e., the …

  8. Finding minimum using Lagrange multipliers - Mathematics Stack …

    Jan 14, 2015 · Finding minimum using Lagrange multipliers Ask Question Asked 10 years, 10 months ago Modified 10 years, 10 months ago

  9. calculus - Why does the minimum value of $x^x$ equal $1/e ...

    The graph of $y=x^x$ looks like this: As we can see, the graph has a minimum value at a turning point. According to WolframAlpha, this point is at $x=1/e$. I know ...

  10. How to find the global minimum of a convex function?

    Mar 26, 2024 · The gradient descent algorithm finds a minimum of a convex function, but it does not guarantee that the found minimum is the global one. I don't know if it's possible to find a …