{ "metadata": { "name": "", "signature": "sha256:9e226bf66f45d81a0253bb7af7f2103a58a12bf7c60b7f3935196b757c98f9bf" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The Music of the Sphere: Exploring a Simple Universe in a Box\n", "\n", "How much information does the CMB temperature map, on the surface of last scattering at z=1100, provide on the potential throughout the volume?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "from beatbox import universe" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Generate fake CMB data on a Healpix sphere." ] }, { "cell_type": "code", "collapsed": false, "input": [ "reload(universe)\n", "f = universe.FakeHealpixData()\n", "f.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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F2B8HOKy+8jIutgrUBPTEyPpXWx/rMVwnbr8ST6Mt8nA85IkaJ+FjnL/oHXGf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YnKf3aa6tIB+TCsK49OB7rKWv/UgS6vO1rYcxM1oAvyhFy1/LogVw6dI6HbE4ZdWm3npZyC+Wae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\n9fXAlMhFzAEGukT8Ksm8Ga2QLjp3y5DmFclKqocvROduE6p7OXeiGkB07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gjzknlXtw+e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\nREQaQFEnIiIi0gD/D4SmcgeTR46FAAAAAElFTkSuQmCC\n", "text": [ "<matplotlib.figure.Figure at 0x106794450>" ] } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Define a 2d slice through our universe." ] }, { "cell_type": "code", "collapsed": false, "input": [ "s = universe.SliceSurface()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Infer the minimum variance $\\phi$ field on this 2d slice." ] }, { "cell_type": "code", "collapsed": false, "input": [ "inf = universe.Inference(f, s)\n", "inf.calculate_mv_phi()\n", "inf.view_phi_mv_slice()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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1oiG03NJ06CURb/CL3J3FZkCyTsLmtdfRO4AZyXTrdovatDrgKsJERCxMvXuO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\nRw8AthC2jnOAUQQRtj1ZOEVLZuhLsc1nnU6nsD0sbGaAabQ8DaR1Xb8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oGipQGoVOBXBb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\nnPqiP15Fv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