Recent content by silver-rose

That would be the equation for the simple harmonic motion of a hanging mass on a pendulum. T denotes the period of oscillation, l the length of the string on which the mass hangs. Notice that the period doesn't depend on how "wide" the mass swings.

There are video lectures based on that book on MIT OCW. o_O

Nevermind, my bad, that book is surely beyond my abilities atm. What about: Linear Algebra: An Introduction by Richard Bronson or Linear Algebra by Hefferon, Jim. Their contents seem pretty similar to me...so I'll probably end up using one of the Creative Common licensed online texts just...

Hint: You need to reduce the power of the sin from \sin{^3 (13x)} into \sin{13x}

What about Diamond? It's F[ace] C[entered] C[ubic], if I'm not wrong. Isn't that pretty stable, considering its high melting temperature?

Hello, As I would like to learn Linear Algebra, it would be awesome if you guys could introduce me to a good LinAlg text for my level. I do have knowledge of Multivariable Calculus and Differential Equations; although I have forgotten some [read:most] of the Diffi-Eq, my Multivariable is...

In all truthfulness, you problem solving skills can only improve if you give the problem at least a think through. Obviously, if you are under time constraints, then the obvious solution would be to seek assistance after, say 15 minutes. If it's like a proof or something, and I really want to...

I heard Duke has a pretty distinguished department for Metamaterials. If I'm not wrong, they recently created a cloaking device that bends microwaves, and it was featured in the NYT. Below's the link to the department: http://www.ee.duke.edu/~drsmith/index.html

You must use substitution. Using trig identities will only make it messier. Hint: get f(x) into the form du / u ^2 .

Hmmm dst, can you explain this further? This is very similar to how the Faraday's cage works right?

Read HallsofIvy's post. Expand the product out, and take the integral of each of the terms, using the idea of odd and even functions. Why would u use by-parts in the first place? What are you trying to reduce to zero power? If you're trying to eventually take x^2 down to x^0, I don't see how...

Hint : What you do is you integrate it by parts two times. A multiple of the original integral will appear in the answer.

It is hypergeometric. Just find the Probability of the occurrence, then multiply that by the total number of ways you can purchase 4 sets to get the E(x) =P(two defective) + P(three defective) + P(four defective) =[ 3C2 * 7C2 ] / [ 10C4] + [ 3C3 * 7C1] / [10C4] + 0 So P(x) * n = E(x)...

Force is a vector. If you take it that a force in the positive y direction is positive (as you have done so when finding F(Q on q1), then the F(q2 on q1) is also positive, as it exists in the direction of the positive y axis...

I disagree with this statement. I have a couple of friends in Imperial, and they're doing Physics, Engineering, and Math. They do work hard, no doubt, but they also play hard. London's an amazing place to be, the clubs are awesome, as are the parties. Given that you manage your time properly...