Recent content by avalonme

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    Graduate Was the Universe Not Perfectly Homogeneous at Photon-Decoupling?

    It's a matter or your personal preference. Spatial dispersion is usually being related to inhomogeneity, angular dispersion - to anisotropy. Thus people usually prefer to say that anisotropy of CMB is caused by inhomogeneity of matter. You can say, as well, that inhomogeneity of CMB is caused...
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    Graduate Was the Universe Not Perfectly Homogeneous at Photon-Decoupling?

    Strictly speaking, it is neither homogeneous nor isotropic. The Universe is (more or less) statistically homogeneous and statistically isotropic averaged over all small scale fluctuations of density, temperature, velocity and grav.potential. Those fluctuations are actually small - only about 1...
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    Undergrad Understanding Vapor Pressure Laws for Astrophysics

    You can find many vapor pressure formulae (for water) here: http ://cires.colorado.edu/~voemel/vp.html Equation [17] there looks the closest to your formula. Then the logarithm is natural and P is measured in Pascal. However, you may have the logarithm on the base 10 and pressure in...
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    Graduate ODE Change of Vars: Techniques for Bessel Function Transformation

    That's what I did: you can directly copy this to Mathematica 6. Cell[CellGroupData[{Cell[BoxData[ RowBox[{ RowBox[{"DSolve", "[", RowBox[{ RowBox[{ RowBox[{ RowBox[{ RowBox[{"-", FractionBox["1", SuperscriptBox["r", "2"]]}]...
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    Graduate ODE Change of Vars: Techniques for Bessel Function Transformation

    I use the following "cheating" technique in my research: Solve the equation in Mathematica. Look at the arguments of Bessel function etc that is gives and make the necessary substitutions :) This method works for your equation, Mathematica 6 gives the solution (f_n) in terms of BesselJ...
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    Mathematica Three Body Problem in Mathematica

    Have you seen this one? demonstrations.wolfram.com/RestrictedThreeBodyProblemIn3D/ It shouldn't be difficult to extend the problem to a non-restricted case.