Recent content by purplebird

i am an intern in a company looking to find the solution to a problem. I have an experimental setup with a 150cm3 can of chemical precursor with a evacuated pressure of 0.01 Torr We are introducing N2 from a 20 psi line with a stop valve for a duration of 20ms. The question is what is the...

So stability depends om the value of k? Can somebody point me to a good link which teaches how to solve equations like e^x = -a;

So the pole is at 2.3 (ln 10) +j 3.14. SO this is an unstable system. Am I correct? Also Fourier transform does not exist for this am I right? Since it not abolutely integrable within - infinity and infinity.

e^s = -10 is the pole. You cannot solve this equation. ln(-10) does not exist. That is why i concluded the pole is at infinity. Is my conclusion wrong?

I have a system transfer function H(s) = 1/(e^s + 10) This system has both poles and zeros at infinity and -infinity. Can anybody tell me if this is a stable system. Thanks.

I am not able to understand what you are referring to. Could you please explain. Thanks.

Given x,y and z are standard normal distributions with mean 0 and standard deviation 1. x,y and z are also statistically independent. Find E{x|x+y+z=1}.

y = 1+x p(y<Y) = cdf of y p(1+X<Y) P(X<Y-1) subst Y-1 in the cumulative density function of X and differentiate to get the pdf of X.

Given Y(i) = u + e(i) i = 1,2,...N such that e(i)s are statistically independent and u is a parameter mean of e(i) = 0 and variance = \sigma(i)^2 Find W(i) such that the linear estimator \mu = \sumW(i)X(i) for i = 1 to N has mean value of \mu = u and E[(u-\mu)^2...

How do you do the convolution of exp (x(n))*u(x(n)) and exp(x(n-1))*u(x(n-1)) where u(x) is the unit step function. Thanks.

I made a mistake while typing up the question : y(n) = [x(n-1) + x(n)]^2 so y(n) = x(n)^2 + x(n-1)^2 So is the pdf of y(n) convolution of exp(-x(n)^2) and exp(-x(n-1)^2) Thanks

given that x has an exponential density function ie p(x) = exp (-x) and x(n) & x(m) are statistically independent. Now y(n) = x(n-1)+x(n) what is the pdf (probability density function) of y(n)

Given a unit square and a 'target' square of size LXL = p^2 < 1 in the unit square. The center of target square in equally likely to be anywhere in the unit square. What is the average size of the target square as a function of p^2. This is the problem and I have included a jpeg illustration...