Sorry about my late reply. The only other language I've done is Java and that was years ago. I've forgotten a lot. I let it run on Mathematica for a couple hours and it was less pixelated, but nothing close to the original image I posted (the one from Wikipedia). I managed to find some...
I've successfully modeled a quadruple linked pendulum in Mathematica. I've done a few interesting things with the simulation. I've shown angles vs. time, and how a tiny change in initial conditions result in a completely different, unpredictable path for the masses of the pendulum. I've shown...
Alright, I got it. In case anyone ever comes across this:
All I did was break it down into two smaller contours, each one containing one of the singularities but not the other. Then the integral over the entire C is equal to the sum of two integrals; one over C1 (containing one singularity) and...
Homework Statement
Homework Equations
The Attempt at a Solution
I did part (a) which is pretty easy. Use the Cauchy integral formula. Part (b) says "hence", which leads me to believe that part (a) can be used for part (b), but I cannot see anything remotely related between the...
Homework Statement
Homework Equations
The Attempt at a Solution
I did (i) by breaking the integrand into partial fractions and then using the Cauchy Integral Formula for each integral. I got the correct answer.
What does (ii) even mean? WHat does it mean to integrate "around...
Homework Statement
This is not a homework question, just me trying to wrap my head around things. My probability class talked about Markov chains for less than 2 hours worth of lecture, and I've been super sick lately, so I'm still a little confused.
If we're considering real world...
wolfram gives
http://www4b.wolframalpha.com/Calculate/MSP/MSP11611geaf4ba3b24ad0800005cf7hi62g6gf6c5i?MSPStoreType=image/gif&s=23&w=230.&h=49.
as the integral wrt x. i can't "see" that. but it looks like it follows from maajdl's suggestion...
to me, e^-(x-y)^2 looks like a gaussian integral. but with the extra e^(tx), it no longer looks like a "standard" gaussian integral. of course i can see that because the limits are +/- infinity, that the x integration is just going to give root pi, or 1 or something stupid easy, but I'm not...
it seems something will just "vanish" but i can't find what, mainly because there is always the factor of e^x in there that gets in the way. I realize that it looks like a bivariate normal distribution though...
Homework Statement
Homework Equations
The Attempt at a Solution
The problem is the integral is non-elementary, so now what? Part (b) follows trivially from part (a). But is there some kind of shortcut I have to take, because no matter what substitution I do, the integral...
Hey guys. I have since solved the problem. Also, I copied it verbatim as per the assignment. If you ever check my other homework questions in physics, you will find that it's not uncommon for this instructor to word them poorly, like this. I just went to see him and clarify. Thanks anyways.
Homework Statement
A uniform solid sphere of mass M and radius R has a light, thin metal spike driven through it, so it is free to turn about this spike. So imagine a bowling ball on a stick that is free to rotate about this stick.
A bullet of mass m is fired at speed v into the ball at a...
i don't quite understand the notion of a limit from one direction having a better chance of existing. to me, it is extremely clear the limit from the left does not exist, so the limit itself doesn't exist.
but things are confusing because we're using 1/n, which goes a different direction than...