I got stuck to find a fair formula to calculate the average ranking of the items that I found after consecutive searches, look: If I calculate the simple ...
Problem I'm Facing: If it exists, find the steady-state temperature solution for the PDE $$u_t = u_{xx} + 1$$ with the boundary conditions $$u_x (0,t...
The problem is as follows: Find the value of $\textrm{H}$ which belongs to a certain vibration coming from a magnet. $$H=\sec \frac{2\pi}{7}+\sec \frac{4\...
I was recently posed a question by a friend - How many possible finishes exist within the darts game 501 which include 3 (or more doubles) and using no mo...
I am trying to compute this $\textbf{Fourier transform in}$ $\mathbb{R}^2$ $$ I(\mathbf{k})\equiv\mathcal{F}\big(e^{-a|\mathbf{x}|}\big)(\mathbf{k}) = \in...
Let $f: A\to B$ and that $f$ is a bijection. Show that the inverse of $f$ is bijective. Surjectivity: Since $f^{-1} : B\to A$, I need to show that $\opera...
I started self-studying some differential geometry while using several different sources, but I'm confused about the notion of a one-form and how dif...
I would like to change $(3,4,12)$ in $xyz$ coordinate to spherical coordinate using the following relation It is from the this link. I do not understand t...