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Feb
24
awarded  Teacher
Feb
23
comment How to determine the step response using convolution of the signal's impulse response?
@Rajesh Properly answering requires more space, but simply put: tao is your integration variable, the thing you change as you perform the infinite summation, and t is a "constant", because the whole integral is to calculate the response at a specific point in time (t). Thankfully, it is "parametrized", so you can evaluate the integral for any t of your choosing (meaning you can calculate the value of the response at any instant).
Feb
23
answered How to determine the step response using convolution of the signal's impulse response?
Oct
31
awarded  Supporter
Jan
21
awarded  Scholar
Jan
21
accepted Spread evenly $x$ black balls among a total of $2^n$ balls
Jan
21
comment Spread evenly $x$ black balls among a total of $2^n$ balls
For now let me define dispersion as follows: If 0 means move to the left a distance of d0 and 1 means move to the right d1, and d0 and d1 are chosen so that after moving 2^n-x times to the left and x times to the right you end up in the same position, minimal dispersion is the same as minimizing maximum excursion from origin over time, if the pattern is repeated endlessly.
Jan
21
awarded  Student
Jan
21
asked Spread evenly $x$ black balls among a total of $2^n$ balls