Recent content by PNutMargarine

Say you have a PhD in pure mathematics but want credentials for computer science for some reason where it might be necessary (is there such a situation?). Is it a waste of time to also get another PhD in computer science?

It's just the determinant of the Jacobian

I'm not sure about this. There are things I like to do, but I'm no good at them, thus cannot obtain a job at doing what I like :cry:

This is what matters, but the reason why top-tier brand name schools have such a reputation is due to the amount and quality of work you can perform and achieve at those schools. A lower ranked school is less likely to have the resources and support to perform at the same level of a "better"...

I've seen it written two different ways: $$\frac{\partial f}{\partial x} = \lim\limits_{h \rightarrow 0} \frac{f(x + h, y) - f(x,y)}{h}$$ and $$\frac{\partial f}{\partial x} = \lim\limits_{h \rightarrow 0} \frac{f(x_0 + h, y_0) - f(x_0,y_0)}{h}$$ where the latter evaluates the function at...