Archive for category Math

Euler’s Formula and Trig Identities

Electrical Engineers tend to use imaginary numbers quite often for various reasons. The term ‘imaginary’ can be misleading. In algebra II, when I heard that term, I was skeptical about the usefulness of an imaginary quantity. But if you can get over the name, they can be used as a powerful tool in many math, [...]

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Convolution of Two Uniform Probability Distributions

The Problem
Two friends A and B meet every morning at the Grand Central Station around 7 am. Suppose the actual times they arrive are independent and uniformly distributed between 6:55 am and 7:05am. Let Z denote the time between arrivals, i.e. Z = time B arrives – time A arrives (can be negative!).
(a) What is [...]

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