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    Question on Discrete Parameter Markov Chains

    I am required to find a formula expressing the probability of return to some state in a Markov chain at time n in terms of the probability of return to that state at time n - k and the probability of first return at time k. I cannot find this in my notes, and I have tried looking at several...
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    Notebook Battery

    I have an Acer TravelMate C110, which is a small table PC, and I bought it just over a year ago. I like most things about it, but the one thing I hate is that the battery has only a paltry 1800mAh charge. My brother has a small non-tablet notebook of a similar size whose battery has a charge of...
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    Alternative power source for garage.

    I have recently moved house, the problem is the garage is situated about 100 feet from the house along with the garages of my neighbors. There are several houses between ours and the garage, and there is no mains electricity over there. The previous owners actually had mains power in the garage...
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    Artificial Neural Networks

    Are artificial neural networks emulated on a traditional computer, or do they have a processor of artificial neurons? That is, is a neural network a piece of software or hardware?
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    Calculus problem.

    Not my own homework problem, but somebody else's. Parallel to a tall building runs a 6ft high fence. It is 2ft away from the building. What is the shortest ladder needed to reach the building from the other side of the fence? I've drawn a diagram for this problem (see attached). I've...