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Edited to give a more symmetric and easily visualized solution. Counterexample in $\mathbb{R}^3$. $A$ and $B$ will be two tetrahedrons. $A$ has vertices at $(1,-1,0)$, $(-1,-1,0)$, $(0, -1, .1)$ and $ …

A parabola P in the plane has the nice property that the image of P under any affine transformation is similar to P itself. Which other subsets of the plane have this property? I wondered aloud about …

I am doing long-running project that involves asymptotic saddle-point estimation of integrals (for flavour, it's this sort of stuff) and I would like to ask if there are established ways in the litera …

The julia set seems to have symmetries roughly corresponding to translation, rotation and scaling. In the following image You can see the horizontal translation, which leaves the extremal left and …

I was reading a blog post on a simple derivation of the cross product. I learned how to determine the area of a parallelogram enclosed by two vectors $A$ and $B$. First, here is the proof of the solu …

Problem Consider the following data set: YEAR;AMOUNT;MEASUREMENTS 1985;9.53013698630137;365 1986;11.086301369863;365 1987;13.0712328767123;365 1988;11.9248633879781;366 1989;10.2191780821918;365 199 …

I'm trying to simulate the evolution of the Wigner function (a pseudo probability distribution over phase space) for a point particle moving in a chaotic potential. I'll provide background first, as …