Recent content by Divisionbyzer0

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    LaTeX Introducing LaTeX Math Typesetting

    This would be better :biggrin: : \oint_\mathcal{S} \mathbf{E} \cdot d\mathbf{A} = \frac{Q_\textrm{enc}}{\epsilon_0}
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    Deriving Schrodinger's Equation w/o Boundary Conditions

    Yep that's it for a free particle. I would ask what motivates acceptance of the deBroglie hypothesis in general? Also can you demonstrate the other direction?-- Would this just be a statement in form to the classical laws but in terms of expectation values or what? Oddly, I took a few...
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    Deriving Schrodinger's Equation w/o Boundary Conditions

    I've seen the nonrelativistic time-dependent SE "derived" from the Fourier Integral Theorem and de'Broglie's relations (I saw this in the book Bohm wrote when he still believed in Copenhagen "Interpretation"-- "Quantum Theory") It seemed perfectly fine a derivation to me, given that we...
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    Find Derivative of Complex Function: Solutions & Tips

    Not quite -- Leibniz thought the same thing though for a while, I think, so you are in good company ;) But, the correct rule for differentiating a product of two functions is as follows: d{f(x)g(x)}/dx = (df(x)/dx)g(x) + f(x)(dg(x)/dx) OR (fg)' = f'g + fg' Depending on which...
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    Solving Difference Equation Involving Complex Numbers

    Ok, that makes some sense. I've worked out explicitely the cases for M = 2, M = 3-- the restriction for n >= M now makes intuitive sense. The full difference equation for all n is inhomogeneous with M shifted unit delta terms as well. For example, for M = 3, the eqn is inhomogeneous with...
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    Levi-civita permutation tensor, and kroneker delta

    Hello, I'm interested in seeing some proof of the identities involving the levi civita permutation tensor and and the kroneker delta. I've discovered the utility and efficiency of these identities in deriving the standard vector calculus identities involving div, grad, and curl, but I'm sort of...
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    Solving Difference Equation Involving Complex Numbers

    This is not quite a homework question, but I hope close enough that it can be posted here. I'm going through a signal processing book on my free time, doing all the problems and so on, and I've come across a problem which I'm not too sure about how to solve. Here it is-- Consider the...
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    Finding Resources for Calculus: Examples & Explanations

    Stewart's book doesn't go into Fourier Series; from what I've seen they usually aren't mentioned in math until courses on "real analysis", "partial differential equations" and the like. By "how to do these" I suppose you mean how to find the coefficients of the terms in the series...
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    Fluid mechanics: Some elementary concepts

    I am interested seeing some of this stuff if you're still interested in going through it.
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    Calculating Closed and Open Loop Gain for Inverting Amplifier

    I could be wrong here, but if the O.L. gain of the Op-Amp is finite then I don't think that the formula A_{\mbox{C.L.}}=\frac{R_{f}}{R_{in}} applies anymore. You need to do some analysis of the amp without the assumption of an extremely large O.L. gain, that's how you arrive A=-Rf/Ri...
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    Imaginary Number to Indicate Division by Zero?

    While I would agree that electronics and electrical engineering, in general, greatly benefits from the conventions of complex numbers I'm not so sure that they were created for "electronics purposes"? I think rather that complex numbers were at first seen as a way to naturally expand the...
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    Determinism vs Non-determinism

    What are those processes which you feel are non-deterministic?
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    Frequency Response of h(n) - (a)^n*cos(n*pi)*u(n)

    Do you know Z-transforms? That's your starting point... you could use the tables, or derive it by hand, which I would do (at least once, then use the tables freely). I haven't done this for awhile and feel like giving it a go, so I'll save you the trouble, or I'll at least get you started and...
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    Creating a Power Supply for a Capacitor Bank

    Would a full bridge rectification circuit, with some filter to smooth the output work? You just have to find diodes which can safely operate at that voltage-- probably not too hard to find, nor too expensive.
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    Determinism vs Non-determinism

    I'm not coming from a tradition of (or a well-versed readings of) analytic philosophy here, but I dispute with the definition by determinism as stated at the beginning of the thread by Royce-- there are other varients. Particularly, there are the fatalistic, pre-existing, pre-set time, totality...
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