Recent content by AngelofMusic

One such normal would be n = (a-b)x(b-c), right? So for the n-dimensional case, would I just repeatedly take cross products of the vectors? The wikipedia page on surface normals has a neat solution where n=(AA^T + bb^T)^{-1} b, but they don't show how that is derived. Thanks a lot for the...

Homework Statement Given 3 points in 3-dimensional space, Find the equation of a plane containing those 3 points. How would you generalize this to n points in n-dimensional space? Homework Equations Equation of a Plane: ax + by + cz + d = 0 (1) Equation of a Hyperplane: a_1 x_1 + ...

Homework Statement We want to find the value of the integral \int_{-\infty}^{\infty} \frac{e^{i2\pi ft}}{1+if}df using contour integration. Homework Equations This should be solved by setting z = i*f and using the residue theorem. The equation has a pole at z = -1. The Attempt at a Solution...

Hi, We recently started analyzing linear machines using matrix algebra. Unfortunately, I haven't had much exposure to operating in finite fields aside from the extreme basics (i.e. the definitions of GF(P)). I can get matrix multiplication/addition, etc. just fine, but it's when finding the...

Hi, This problem has me stumped and I keep thinking that I'm missing something simple. The question gives us a simple model for modelling a microwave. We consider a plane wave traveling through an object in the microwave (in the z direction), with no reflection. So, the general form should be...

Hi all, I'm currently studying up on transmission lines for my next midterm, and I stumble onto this problem. Given information: A 800 MHz transmission line that is lossless - Vmax, Vmin, V_L for a given load impedance R_L. - Characteristic impedance of a line - length of a line & \lambda...

Thank you so much for your help! :D

Ah, okay. So in terms of number of errors, the 2 parity check system will detect more of them. But because there are more errors, a greater percentage of them will go undetected?

Yeah, on some levels, that does sort of make sense. But it's not really calculating the probability of error, but the probability of the parity check failing to detect an error. I keep thinking that this double parity check (not sure if this is the correct terminology) should be able to detect...

This probability question came up in our networking tutorial today, and I'm not entirely happy with the TA's solution, so I was hoping someone here could help out. Background: A single parity bit is added to every n bits in a binary string of length 2n. In our class, we add the parity bit so...

The faster the magnet moves, the faster the area changes. Remember, since induction relies on the rate of change of flux (not the flux itself). It doesn't matter what the area is, but how fast it is changing. Think of it in terms of derivatives. If you had a small slope, no matter how large the...

My interpretation has always been that magnetic flux is changed by the area that the magnetic field passes through, not the area of the coil. When you're moving the coil into the magnetic field, the area through which the magnetic field passes through increases, so the flux changes. If you have...

Not sure how specific the answer's supposed to be, but I think this is a question about induction. There's a formula that says: EMF = -\frac{d\Phi_B}{dt} Where \Phi_B = \oint \vec{B} \cdot \vec{dA} Which means that EMF is only induced when there is a change in the magnetic flux...

I'm doing review exercises for my computer science class and we're discussing hashing functions. One of them involves quadratic probing and I came upon an interesting trend. Whenever I have: x*(x+1)%5 where % stands for the modulo operator, and x > 0 and is an integer, I can never seem to get...

I should have been more clear. I'm calculating the magnetic flux through a wire in a set up where there are two wires parallel to each other. The solution manual says: A question, though: Under what circumstances is the magnetic flux through a wire zero? It seems from the book's explanation...