My last post seemed to go down well so I thought I’d compile a few more images of proofs without words!

Determinant is the area of a parallelogram, by Solomon Golomb, Mathematics Magazine, March 1985.

A visual proof of Jensen’s inequality, found on Wikipedia. Jensen’s inequality states that

In the diagram, the dashed curve along the *X* axis is the hypothetical distribution of *X*, while the dashed curve along the *Y* axis is the corresponding distribution of *Y* values. Note that the convex mapping *Y*(*X*) increasingly “stretches” the distribution for increasing values of *X*.

Hope you enjoyed! M x

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That integration-by-parts proof is quite slick. I haven’t seen it before.

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