Recent content by ha9981

Why is it that the unilateral lateral Laplace transform is used when given initial conditions that are non-zero. Is there a reason that explains why it would be wrong to use the bilateral Laplace transform instead? I know bilateral does not have any input of initial conditions but that does not...

I have a hard time finding that to be correct only because it fails to yield the right answer in the example above.

It is only true for h(n) multiplied by δ[n-t0] Not for Convolution. AM I CORRECT?

Sorry I meant: h[n]*IMPULSE[n-t0] = h[n-t0] I tried it with a question that wanted to do a convolution that would expand out as follows. x[n] = δ[n] + 2δ[n-1] - δ[n-3] h[n] = 2δ[n+1] + 2δ[n-1] x[n] * h[n] = 2δ[n]*δ[n+1] + 2δ[n]*δ[n-1] + 4δ[n-1]δ[n+1] + 4δ[n-1] -...

Is this true: h(t)* Heaviside(t-t0) = h(t0) If this is true saves my work a lot. It appears not to be true I tried proving it...

So the contour in the diagram should have no interference with the principal branch right?

Textbook is Fundamentals of Complex Analysis with Applications to Engineering and Science by E. B. Saff & A. D. Snider. Also what has the principal have to do with fractional exponents? Is there a region where it isn't defined?

Its question 1(g) in the picture. My work is shown there as well. This has to do with independence of path of a contour. Reason I am suspicious is that first there is a different answer online and second it says "principal branch" which I have not understood. Does that mean a straight line for...

I do not understand when we are given a vector at point P(x,y,z) or in different forms cylindrical and spherical. What does it mean at point?? I mean aren't vectors supposed to start at origin, even if they don't how will that make a difference in their magnitude or angle between them. For...

I thought over this problem with first order response of RC circuit. And here is what I got: time constant = RC = 1/10 V(t) = V0 e-10t I(t) = V0 /R e-10t Now to find initial voltage I assumed we take time as zero? In that case for 100uF capacitor with 1kohm resistance and critical current...

Homework Statement What voltage would be dangerous for a 100uF capacitor given that a person's electrical resistance can be as low as 1kohm if the skin is wet. Does the capacitance matter? If so how? Assuming heart stoppage happens at 500mA Homework Equations Current for capacitor...

Question says: Use a tree diagram to find the number of ways that the World Series can occur, where the first team that wins four games out of seven wins the series. Is my tree diagram between a single team wining and losing? Or is it between team A winning or team B winning. This diagram...

A transition matrix is regular if some integer power of it has all positive enteries. What does this mean. Can anyone give me examples of non regular as my text shows matrices with positive enteries and asks to show that it isn't regular, I don't see how that it is possible for that transition...

Suppose that a casino introduces a game in which a player bets $1 and can either win $2 or lose it, both with equal chances. The game ends when the player runs out of money, or when he wins $4. (a) Build a transition matrix for the game, and show that it is not a regular transition matrix...

I might hav confused the idea. It said that a identity matrix alternates with powers. Is there somewhere I can learn this online as I am clearly having trouble understanding from my text.