# Tagged Questions

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### Maximize the area of the inscribed triangle

Problem Try to determine the maximum area of the inscribed equilateral triangle of a ellipse with semi-major axis $a$ and semi-minor axis $b$. Thoughts Suppose the equilateral triangle is ...
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### Getting as close to a target vector as possible

Say I have P number of political parties in an election that I'm trying to rig. My boss has decided what number of percentage of the votes it is best that each party should get. N number of votes have ...
### Finding the position of a person on a grid, when you know the $(x,y)$ coordinates of transmitters and the signal strength at the person
I have a $100\times100$ grid. I have a transmitter on each corner, $4$ in total. \begin{array}{rl}\text{Transmitter (a) is at}&(0,0);\\ \text{(b) is at}&(100,0);\\ \text{(c) is ...
### How to compute the change in the angle between two unit norm vectors as the $\ell_1$ norm of one vector changes?
Motivation Suppose that $u \in \mathbb{R}^d$ is a unit-norm vector, $\|u\| = 1$, $a, b, c$ are some positive constants and $\xi \in [0,1]$ is another constant (usually chosen close to 1). I am ...