Recent content by symsane

I could not found any answer to this question: What is sin-1(2i) equal?

Homework Statement Show that if we fit f(x) over [xn,xn+1], with a first-degree polynomial that interpolates f at xn and xn+1, then f(x)=f(xn)+[f(xn+1)-f(xn)](x-xn)/h. Putting that approximation into the relevant equation 1 which is given at relevant equations part derive the approximation...

I could not find a counter example. I think it is LI.

Homework Statement If u1 and u2, u2 and u3, u1 and u3 are Linearly Independent, does it follow that {u1,u2,u3} is Linearly Independent?

I searched the net and I found left shift of z-transform. In this question it is very useful.When we applied this definition we acquire the solution.

OK I know this Shift Theorem, but I have a problem with it. If the z-transform of x[n] is X(z), I can solve the z-transform of x[n-1] in terms of X(z) and what I found is X(z)z-1+x[-1]. However what is the solution if I want to solve the z-transform of x[n+1] in terms of X(z) ? Or in this case...

Homework Statement x[n] = -x[n-1] + x[n-2] + x[n-3] and x[0]= 0, x[-1]= 0, x[-2]= -1 We want to find "x[n]". When I started to solve this problem I acquired that lambda1= 1 and lambda2,3= -1. I couldn't do anything after lambda's are found. So, can anyone solve the remaining part?

If the z-transform of x[n] is X(z), then what is the z-transform of x[n+1] in terms of X(z) ?

What do AC/DC coupling mean in oscilloscope?

How can I determine the solution set? (1+2i)x1 + (1-i)x2 + x3 = 0, ix1 + (1+i)x2 - ix3 = 0, 2ix1 + ix2 + (1+3i)x3 = 0. Thanks..

||x+y||2 = ||x||2 + 2*x*y + ||y||2

I know that voltage of a capacitor is continuous. However, I want to learn that; can it be a jump in the capacitor voltage? Also, if it is, how it can be happened?

Connect a resistor across a capacitor(which has its own energy) to discharge it. After the capacitor is fully discharged, we know that there is not any energy left on the capacitor. So, where does the energy of the capacitor go? I think, not all of the energy goes to heat, so what are the other...