Recent content by anb

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    Understanding Euler's Method: Solving a Numerical Approximation Problem

    Oh, I think I understand now - so for a step size of 1/10 I should first get x1=9/10, which means at the next step I compute 9/10 + (1/10)f(9/10), and so on with the result of each step, ten times? (So for the step after I'd do 81/100 + (1/10)f(81/100), etc.?) After trying this out, I am...
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    Understanding Euler's Method: Solving a Numerical Approximation Problem

    Hi all. I've been having a bit of trouble just understanding Euler's method, which I need to know (and probably should have known for a while now) for a question on an assignment. I'm going to provide an example with confusing wording (at least to me) and show what I've done to try to...
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    Rational numbers and periodic decimal expansions

    A long time ago I took a number theory course and really enjoyed it. At one point we were shown the proof for the theorem that a number is rational if and only if it has a periodic decimal expansion. The (<=) direction is really easy if you know some Calculus, but I remember the (=>) direction...
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