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    Why 'axioms'?

    Thanks, I think I'll pick that one up.
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    Why 'axioms'?

    By the way, does anybody know of a good, relatively accessible, introduction to the subject of mathematical logic?
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    Why 'axioms'?

    Oh, I think I get it now. I guess I was confused about the distinction between the axioms themselves and 'the model' to which they are applied. Thanks, everyone.
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    Why 'axioms'?

    But you can't prove an axiom, and 1-4 can be proved (or disproved) for a given set?
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    Why 'axioms'?

    Hi. I'm reading a simple introduction to groups. A group is said to be a set satisfying the following axioms (called the 'group axioms'): 1) Associativity. 2) There is a neutral element. 3) Every element has an inverse element. 4) Closure. My questions is simply: why are they...
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    Dimension of fractal object

    I'll try to locate that one. Thank you!
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    Dimension of fractal object

    Hi. How can I "experimentally" (by way of computer simulation) calculate an approximate value for the dimension of a fractal object? The object in question is the Lorenz strange attractor, which has a dimension between 2 and 3. Also, I know there is a number of different ways to define...
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    Integral evaluation - analytical vs. numerical

    Thanks y'all. I've included a bit about the gamma function, interesting stuff...
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    Integral evaluation - analytical vs. numerical

    Hi, Does anyone know a reason why \int_{-\infty}^{\infty}\cosh(x)^{-n}dx (n>0) can be evaluated analytically when n = 1,2,3,..., but only numerically when n is non-integer. I don't know if there is a "reason", but I'm using this result in a Quantum Mechanics project and it would be cool if I...
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