Recent content by snipez90

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    Complex Integration: Contour Evaluation and Estimation Lemma

    For the second one, use the http://en.wikipedia.org/wiki/Estimation_lemma" .
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    Quickly Estimate Apery's Constant Using Partial Sums and Integrals

    Estimate 1 + \frac{1}{2^3} + \frac{1}{3^3} + \frac{1}{4^3} + \frac{1}{5^3} + ... in 1 minute (See "[URL constant[/URL]). I couldn't think of a clever way to quickly do this. Any ideas?
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    Verify that the function U is a solution for Laplace Equation.

    Advice: write U_xx = 3(x^2)(x^2 + y^2 + z^2)^(-5/2) - (x^2 + y^2 + z^2)^(-3/2) as a single fraction, and then proceed. Also I'm not sure how you got what you got when you added the 3 terms together.
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    To somehow prove that x>logx for all x>o

    You could also divide by x (since x > 0) and look at the behavior of log(x)/x.
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    What Is the Solution Approach for the Given Differential Equation?

    Try to turn it into an exact differential equation?
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    Physics I'm told that theoretical physicist can go into investment banking

    There doesn't seem to be anything particularly wrong about Joshi's advice, though twofish can probably say more about that. Perhaps one of the most important things to keep in mind is Joshi's note about the uncertainty of today's economy. Depending on the state of the economy when you apply...
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    Difficulty of Topology vs Differential Geometry

    I don't know anything about differential geometry, but I think topology is probably a prerequisite? I mean how do you even talk about a differentiable manifold without knowing the basic terminology of a point-set topology course? Wait I read your OP again and yeah if you're taking your first...
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    A very open ended question about Real Analysis

    It's true that basic real analysis is not that hard once you have a firm grasp of the epsilon delta definition, but it's the first class most aspiring math majors take. Those people may realize right then that college math is not as awesome as they thought it would be. Obviously real analysis...
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    Need help for Ito Isometry proof

    I'm guessing B_t(w) is Brownian motion, and yes it's normally distributed because its increments, B_t(w) - B_s(w) are normally distributed (~ N(0, t-s)) if s < t. Indeed, this is the precise property that gives the result the OP wants to understand.
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    Help with calculus sequence at OSU

    I'm confused, are you saying that you may want to take elementary analysis and then the regular calculus sequence? Regardless, I think if you want to do honors math, take the Spivak course, or an equivalent intro analysis course. If you work hard, especially early on in your study of...
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    Solve Cauchy Problem for PDE: exp(-x)dz/dx+{y^2}dz/dy=exp(x)yz

    My reply probably came off harsher than I intended it. But my understanding is that if there is a homework type question, it shouldn't be here. From the context of the OP, I gathered this was a homework problem (even though it only has to be a homework "type" problem).
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    Learning much more from book than class

    Yes sometimes I think going to class basically involves listening to some dude yell at me for an hour and pretending to understand what he is talking about. But I've found that if you some idea of what's going before you go to lecture i.e. you've done even a tiny bit of reasoning through the...
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    Solve Cauchy Problem for PDE: exp(-x)dz/dx+{y^2}dz/dy=exp(x)yz

    There is no excuse for not showing some work to a problem like this. The first step is understanding what type of PDE you're actually dealing with. You can also try thinking of general methods such as "method of characteristics" or "fourier transform" (one of these may be helpful here).
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    Are unrelated AP classes worth it?

    Probably minimally. No one cares either way whether you took AP English or AP US History, or any other AP, provided you've demonstrated an interest in some field of study. However, if this is your first US history course in high school, you might be missing some basic requirements for some...
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