Recent content by Knaapje

Hello, I'm trying to derive the perfectly matched layer for the TM mode Maxwell's equations using a complex coordinate stretching. As seen in http://math.mit.edu/~stevenj/18.369/pml.pdf . But I'm running in a bit of trouble somehow. \partial_t H_x =-\mu^{-1} \partial_y E_z\\ \partial_t H_y...

Thanks! :)

Alright, this was my full calculation: dS = \left| \frac{\partial \vec{r}}{\partial u} \times \frac{\partial \vec{r}}{\partial v} \right| du dv \\= \left| (cos(v), sin(v), 0) \times (-u\cdot sin(v),u\cdot cos(v), 1) \right| du dv \\= \left| (sin(v),-cos(v),u\cdot (cos^2(x) + sin^2(x)))...

Homework Statement \int\int _{S} \sqrt{1 + x^2 + y^2} dS Given that S is the surface of which \textbf{r}(u,v) = u\cdot cos(v)\textbf{i}+u\cdot sin(v)\textbf{j}+v\textbf{k} is a parametrization. (0 \leq u \leq 1, 0 \leq v \leq \pi) Homework Equations dS = \left| \frac{\partial...

In total I'll be using 7 * 4 = 28, or 32 bits because alignment. I'm just curious if there is anything which we can actually measure has more than 7 or less than -8 powers.. Went through Wikipedia as well and just get stuck on 4. Also, it has to be as little as possible to keep everything at...

Hey guys, I'm currently working on a chemistry setup and we're building some protocols. We decided that every communication on the protocol between two devices will be in SI units. However, for a data descriptor I plan to use 4 bits per standard SI unit. This means that units for variables can...

Thanks for your reply! I'm aware of the influential chain reaction of which you speak, but I was wondering if Euclid had a direct influence on Peano as he had with, say, Newton. Unrelated sidenote: I now absolutely hate wikipedia, for stating that Peano was influenced by Euclid, without...

Hello there, First off: I realize this is not a history of math sub-forum, but I could not find any such thing. Now, secondly: I'm writing an essay on the history axiomatic systems, and I found one or two sources that indicate that Giuseppe Peano was in fact influence by Euclid.I wonder...