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

    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 months ago

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

    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 the …

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

    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 days ago

  5. Lagrange multipliers - maximum and minimum values given constraint ...

    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 a $q ...

    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 covering of the …

  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 variables can be …

  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 minimum of …