Recent content by RRraskolnikov

No, this is not for a homework. Please don't delete the thread. CDF(Z) = Prob(Z < z) CDF(Y) = Prob(Y < y) where y = f(z) PDF(Z) = \frac{d(CDF(Z))}{dz} PDF(Y) = \frac{d(CDF(Y))}{df(z)} Now, it is known from various internet sources and wikipedia that: E(f(z))=...

E(f(z))= \frac{1}{sqrt(2\pi)}\int_{-\inf}^{\inf}{f(z)e^{-\frac{z^2}{2}}}dz Is this the right expression? Mod note: Fixed it for you. The LaTeX for infinity is \infty, not \inf. And for the square root, it's \sqrt $$E(f(z))=...

If you don't mind, can you write down the correct expression with the pi?

E(f(z))= \int_{-\inf}^{\inf}{f(z)e^{-\frac{z^2}{2}}}dz What about this above relation? Found it somewhere and it said this is for finding the expected value of f(z) when z is a random variable with gaussian distro.

If I have a variable X whose gaussian distribution is known and let f be a known function, is there a way to compute f(X) (i.e) the resulting gaussian distribution from this? Is the result actually a gaussian distribution?

That did it. Now I get it. Thanks a lot!

The ball not moving is a trivial case of velocity being zero. But consider any other possibility of velocity. Then h depends on the velocity. So the potential energy does depend on the velocity, right?

Glory!...thank you for seeing the link somehow. :D Yeah that is my doubt. I understand why they are doing it but is it right? Doesn't potential energy change when velocity changes?

Oh sorry, the attachment was too big. Click on that thumbnail. It takes you to a image hosting site.

But you are taking a specific case and some assumptions. They haven't done that. So...

In the attached snip, the last few steps of the lagrangian equation is shown. I don't understand how the \frac{\delta V}{\delta\dot{q_j}}= 0. As an example let me take gravitational force. With change in velocity ( along the downwards direction obviously), there sure is a change in gravitational...

What does hardware based processing mean? ENIAC does hardware square rooting but what is the classification here? Is it like assembly code and C code difference?