pasmith's latest activity

A generalization is to fix ##g: [0,1] \to \mathbb{R}## and let $$f_n : [0,1] \to \mathbb{R} : x \mapsto \begin{cases} ng(nx) & x < \frac...

I was going to append this to @chwala's thread here, but thought it deserved a new thread. For ##n \geq 1##, define $$f_n : [0,1] \to...

Consider also ##e^{-n\sin \theta}## for ##\theta \in [0, \pi]##.

Responses, like the original post, should be typed and make use of LaTeX rather than screenshots.

I was working at the UK's Ministry of Defence just over 10 years ago when they rolled out Office 365. This involved the MOD making...

One can always resort to the Newton-Raphson method to solve ##\mathbf{f}(\mathbf{x}) = \nabla L = 0## by iteration, where each step...

If $$L = (y_1(x_1) - y_2(x_2))^2 + (x_1 - x_2)^2$$ then the partial derivatives are $$\begin{split} \frac{\partial L}{\partial x_1} &=...