Recent content by Dante Tufano

I've been thinking about the problem, and am only getting more confused. Once again, I don't have a math background so I'm not sure if there are some analogues between lower dimensional space and n-space that might help me gain some intuition about this problem.

Okay, so now that I've done this. How would I go about calculating the marginal probability of one of the events ##X_j##? I know that typically for a marginal probability, we integrate as such: ##p_X(x)=\int{-\infty}^{\infty}p_{X,Y}(x,y)\mathrm{d}x\mathrm{d}y## So clearly, I have to extend...

Okay, so I now have the integral ##\int_{\mathrm{d}^nV}\delta(r^n-R^n)\mathrm{d}^nV=\int_{\phi_{n-1}=0}^{2\pi}...\int_{\phi_1=0}^{\pi}\int_{r=0}^{R}\delta(r^n-R^n)r^{n-1}\sin^{n-2}(\phi_1)...\sin(\phi_{n-2})\mathrm{d}r\mathrm{d}\phi_1...\mathrm{d}\phi_{n-1}## I know I am really close. What is...

Okay, I think that might be all the direction I needed! Thanks. I am running through some calculations and will update soon.

So to do this, I would have to develop a general expression for the n-dimensional Jacobian?

Hey everybody, I'm an engineering Ph.D. so my knowledge of n-dimensional Euclidean spaces is lacking to say the least. I'm wondering what sort of approach I can take to solve this problem. ##\boldsymbol{1.}## and ##\boldsymbol{ 2. }## I am given a probability distribution for a random...

Anybody? The slightest help would be amazing

Anybody? I really need help with this one..

So I'm on my last try for this question, and I could really use some help, I'm completely clueless.. Two waves of light in air, of wavelength λ = 460.0 nm, are initially in phase. They then travel through plastic layers as shown in Figure 35-36, with L1 = 4.00 µm, L2 = 3.50 µm, n1 = 1.20, and...

Yeah, it is, I called and am a bit upset that they don't..

Okay, so I'm trying to connect my TI-89 to my computer (I run windows 7 by the way) so I can put notefolio files on the calculator. I have the CD and usb that comes with the calculator, and used those to connect to the computer and download the TI connect software. This is where the...

Sorry, I made an algebra mistake! The values came out write after I punched them in again. Thanks a lot!

Okay, so I solve for the velocity using the max kinetic energy and have a max velocity of .3062 m/s. I set L(1-cosθ) equal to (KEmax/mg) and solved for L using the θ value .1. However, I got the wrong answer, so can I get any more clues as to what I'm doing wrong?

Okay, so here's the question: The figure below shows the kinetic energy K of a simple pendulum versus its angle θ from the vertical. The pendulum bob has mass 0.320 kg. What is the length of the pendulum? Equations: KE=(mv^2)/2 U=mgh...

Nevermind, I figured it out! Thanks a lot for the help!