Recent content by sauravrt

Hi mathman: I am sorry about the error in the original post. The function I am trying to approximate is f(x) = x^Ne^{-x} . This function goes to zero for large x.

Hi mathman, I realize that error. Instead of that I would like my basis to be of the form \frac{x^v}{1 + x^2} ~\text{where} ~ 0< v < 1. What is the general procedure to come up with a basis set?

I am working on a problem where I want to approximate a transcendental function of the form f(x) = x^Ne^{x} for x \geq 0 as a linear combination of functions of the form x^v \text{where} -1 < v < 0. How can I find the basis functions of the desired form to represent my transcendental...

I'm trying to do a matrix derivative. \theta , \text{a scalar, is my parameter for derivative} \mathbf{y} is an Nx1 vector independent of \theta \mathbf{R} is an NxN Hermitian matrix a function of \theta Is the following correct? \frac{\partial \mathbf{y^H R^{-1} y}}{\partial...

mathman, thanks for the reply. So if there are two normal random variables, the a bivariate normal distribution is always defined between them? If I have random variables, each with different distribution, even so it is possible to find a joint distribution between them? Saurav

Are any two (or n) random variables always jointly distributed in some sense? When will two RV's be non jointly distributed? Saurav

What is the difference between Random Signal and Random Process? A random process does not necessarily imply and ensemble of random signals. Is this correct? M

I came across this approximation in a book. I am not sure why this approximation is valid.. \frac{1}{N}\sum_{n=0}^{N-1}n.sin[4\pi f_o n + 2\phi] \approx 0 f_o is not near 0 or 1/2 Saurav

A random variable (RV) is a function that maps events in our probability space to real space. So it seems to me a random variable is a way to quantify(into real space) the physical events in our probability space? Is my understanding correct? Saurav

Thanks EnumaElish So now if I am looking at a problem where I have 3 red balls and 4 blue balls and if I pickup two balls want to find the probability P(R|B) (i.e prob of picking Red ball given Blue ball was already picked). In this conditional probability case, the order in which the...

If A and B are two events and I want to look at their joint probability P(A.B) do I have to be concerned with the order in with A and B occur? Saurav

Thanks quasar987. So a matrix with atleast one non-zero element will have atleast rank 1 ?

What does it mean for a matrix to have rank 0 ( zero) ?

A circular polarized wave has both horizontal and vertical polarization, is this correct?

Can an electromagnetic wave be both circular polarized and horizontal or E polarized at the same time?