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Problem of the Week #364 - June 1, 2021

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MHB Global Moderator
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Jun 20, 2014
Here is this week's POTW:

Let $f : \Bbb R^n \to \Bbb R$ be twice differentiable function whose Hessian matrix is everywhere positive semidefinite. Show that $f$ is convex.

Remember to read the POTW submission guidelines to find out how to submit your answers!