Recent content by Megaquark

Music Theory. It's a subject. Math. Art. Read and learn about the mathematics behind music. It's an interesting topic.

I saw the exact same thing with grasshoppers and peas! Nobody tell the vegetarians.

I drove a grain cart while harvesting wheat one summer and saw a porcupine in Montana get sucked up by a combine. Talk about traumatic experiences...

I live in an area with ticks, mosquitoes (which are one of the most disease spreading and therefore deadliest animals to man), mountain lions, badgers, rattlesnakes, and buffalo. I've personally encountered several of these, also the occasional rabid skunk The buffalo are especially scary if...

Chladni figures or Chladni patterns. Also related to the Bessel functions if I remember correctly.

Nope, I didn't notice. I'll likely avoid answering posts in this section from now on.

Just what this problem needs, more complexity. I doubt there's a simple solution to this because of all the cases and branching. It one of those "If z happens in generation x, then this range of probabilities occurs in generation x+1...but if z doesn't, then this range of probabilities occurs...

You're welcome.

Writing he zero is kind of unnecessary, but it comes from taking the partial derivative of x3 with respect to y. The 1 comes from the y...chain rule.

So thinking about #5 a little bit more... In the first generation the probability the rumor starter will be told is zero, since he can't tell himself. Since he has to choose 2 distinct people, let's say he told Alice and Bob, the probability he'll be told by Alice is p=(1/n)+[1/(n-1)]. The...

In number 5, can you tell yourself the rumor?...Can a person look in the mirror and say, "Hey, want to hear some juicy gossip!?"

I followed the link. This video sums up my feelings:

I don't think I've ever seen it done in general, just for special cases...though I imagine that it probably isn't much different than deriving Coulombs law from Maxwell's equations. I know to get from Maxwell to Coulomb you have to make an assumption about spherical symmetry of the electric...

I don't know how you'd get an infinitely large derivative at a point without the wavefunction being asymptotically large. Ψ*Ψ has to be a positive number less than 1. Don't know if you could normalize a wavefunction with an infinite derivative at a point.

I always thought it was the other way around, that the Biot-Savart law was a special case pertaining to magnetostatics...whereas Maxwell's equations (i.e. Ampere's law, Faraday's law, and Gauss' laws) are still valid in those cases.