Recent content by dexterdev

That is my question at physics.SE.

MATLAB Tcl VMD (Visual Molecular Dynamics) NAMD Python (occasionally) Gnuplot latex mozilla firefox

In my rough understanding Molecular Dynamics using Classical Newtonian mechanics is a 6N dimensional non linear system. 6N dimension because you have 3 position vectors and 3 momentum vectors for each N particles. Nonlinearity because of the terms in force fields. In principle this system can...

@Ray Vickson : Yes I have got those limits from someone else, but never told how they come?

Homework Statement Suppose there are three statistically i.i.d continuous random variables X1, X2, X3 each are uniformly distributed in the range [0,1]. How to find the probability P(X1+X2<X3)? Homework Equations The below given equations are the steps to the solution. But I can't figure...

Thank you friends. Now that is a point I have to dwell into. Let me try proving it. Finally let me ask one more thing. Fourier series representation is only for periodic functions. 2cos(πt) is periodic. 7cos(t) is periodic. 2cos(πt)+7cos(t) is NOT periodic. So 2cos(πt)+7cos(t) must be...

All functions here are periodic right, since it has only sinusoids. Am I wrong somewhere? If so please correct me.

Hello friends, I would like to know the temperature dependence of LASER for its action. At What temperature the laser action is possible and realisable? Any references, links and help is appreciated.

me too thought the same only. One online test was saying that 2cos(πt) + 7cos(t) cannot be a Fourier series outcome since it is not obeying the dirichlet conditions. But actually now I think that the question has a mistake. Thanks every one who took effort for this.

@njoysci : Thank you very much. Let me read it.

If a periodic signal meets dirichlet conditions , that mean theoretically I can expand it using FOURIER SERIES EXPANSION THEORY. And a periodic function means self repeating function. Theoretically it expands from -infinity to infinity. For periodic function f(t) = f(t + n T) , n - integer and T...

f(x) must be absolutely integrable over a period. f(x) must have a finite number of extrema in any given interval, i.e. there must be a finite number of maxima and minima in the interval. f(x) must have a finite number of discontinuities in any given interval, however the discontinuity cannot be...

Homework Statement Which of the signals is not the result of Fourier series expansion? options : (a) 2cos(t) + 3 cos(3t) (b) 2cos(\pit) + 7cos(t) (c) cos(t) + 0.5 Homework Equations Dirichlet conditionsThe Attempt at a Solution From observation, I thought all are periodic and so must be...

Homework Statement If we filter out ideal white noise using an ideal LPF of cutoff frequency W Hz and then sample it at F Hz , What are the conditions for different F so that the resulting discrete signal is correlated, uncorrelated , statistically independent and orthogonal etc? I would...

I was trying to apply some theory from RATIO and PROPORTIONS. What I was trying to convey was this (10/30) / (3/x) = (40/10) / (1/y) = (50/60) / (2/z) where (a/b) / (c/d) = (a d) / (b c) also I don't have any justification for this. This was a try. I wanted to understand this...