Thank you for your help.
Regarding writing the generating in terms of the old or new, I still don't understand why it doesn't work. Sure, I will have to inverse the equations, but what difference does it make? Given a generating function, I know the explicit transformation, so why can't I just...
I'm not sure I understand the use of generating functions in canonical transformations. In particular, why are there four basic canonical transformations? It isn't true that any canonical transformation is one of the four basic types, so what makes them special over any other transformation...
I understand how the (local) error for euler's method of integration is derived from the perspective of the taylor expansion and inequality. However, I don't really see why taylor's equation needs to be invoked, since the euler method can also be derived as a tangent line approximation. How then...
I'm not entirely sure what book I want, even what subject it would be considered as...which is why I'm here. My mathematical knowledge is dismal. I want some kind of book that will cover the very fundamentals rigorously. I don't want a high school textbook which will just bs its way around, but...
I don't know why or how CS became closer to CE and EE. CS began as a subtopic of math and logic, and it should have stayed that way. Now-a-days, it seems like more emphasis is placed on learning the language and dealing with the bs that software has become, rather than learning the math. It's...
Yeah, it's mainly the graduate school placement rates that I'm worried about. Brown from what I've heard is suffering on that front. But I've heard nothing about columbia, brown, or cornell.
AN IMPOSTER! HOW DARE YOU?
That's too bad that columbia doesn't have a physics program. It's a prestigious college.
As far as brandeis, they give 50 full scholarships and I received one, so there is a lot of prestige associated with it.
How's physics at Columbia? It seems that Cornell has a more well known physics program, and there's not much said about Columbia. And what about physics at Brandeis and at Brown?
Also, what are my chances for an awesome grad school going to a school like Brandeis that isn't ivy? I'm not sure...
Actually, a lot of the people I know who are doing math are also doing linguistics. Math and linguistics together seem to be a relatively common combination.
Thanks PBRMEASAP!
But I'm a bit confused by the second part. You write that i can simply add theta1 and theta2 together to find theta. How exactly do I find the theta1 and theta2 that arise from dx and dy?
For this diagram: http://ananth.ath.cx/coag.jpg
The textbook gives the formula for dtheta as (x*dy-y*dx) / (x^2 + y^2) assuming that r' ~ r. How is this formula derived?
T. Roc,
I am aware of that the sound wave is not a sine wave. That is what I was clarifying my post, as the OP seemed as though he believe that a sound wave is like a sine wave.
Moose
I'm not entirely sure, but your post seems to imply that you believe that the particles are moving up and down to make a sine wave, like a wave on a rope. This is not how a sound wave is transmitted in air. A sound wave is a compression wave where the air particles transmit the wave by squishing...
I'm not complaining that I didn't get in. MIT was never my top choice. It's just that, like many other people said, admissions is random, and sometimes seemingly illogical, and I've seen too many miserable people whose dreams and aspirations have been shattered completely. Don't do that to...