simple_case.ipynb 181 KB
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "modules/analytic.py:42: RuntimeWarning: invalid value encountered in arcsin\n",
      "  theta = arcsin(lgg/Dsource*sin(delta_ic))\n"
     ]
    },
    {
     "data": {
      "image/png": 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z3az5hbRcr+P1MRAnABpoNBqFjLxxnCBJSuYH+o3nVJIkaM4185xWvvk03eqn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\nAK4DcEU/3K2G9cX64Q9/OFSafH1KU/U+2TYomsrG95Omsn3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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc34dbc22d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7iHwdrgyfAj5VNlgTKhImbXWRp+h406ZNtbx/i/1+tra0Mnb+sv6tFqjOpRX/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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc3552bf750>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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xoKSRXH311XzrW9+yzgHxYfPNo912zZwNzdOaNWt49tlnY9PVzjvv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\n4V4aWeG/iboZZo+0Zz76rlPd8pU4Jiu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q+DorR3VBEAQNt99/o/EDvZMnvZV89LvvHtTj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\nhmEkhRkSwzAMIynMkBiGYRhJ8f8BUkzrCgJli+QAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc3552d1cd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import modules.observables\n",
    "modules.observables.drawObservables(\"simple case 10kpc\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### distributions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f888c5c1950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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F64r49fIqxopMAB4QkefJ2zumA0/Vc2FVne9x/B7gnnr6HN1Xgx0EzZnlOOWV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\nwzAMIxRMoBiGYRih8P8DQ09nsN24vAwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f88673cbb90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1SagebAPyr8PHmwHwmfdnKQoPzpqFwVmz8tY1OGtWtlxKHtIDAzk9HNtY5TMm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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f886c431f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import modules.timing\n",
    "import modules.spectrum\n",
    "import modules.arrival_angle\n",
    "\n",
    "modules.spectrum.drawSpectrum([\"simple case\"],plot_gen=True)\n",
    "modules.arrival_angle.drawArrivalAngle([\"simple case\"],plot_gen=True)\n",
    "modules.timing.drawTiming([\"simple case\"],plot_gen=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### time delay using convolution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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E6oCdgbUFqpOIiBRR2MAwyN0vB9a6+xTgGODAwlVLCknjuBFSjiFSapulIWxg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\nSaPAICIiaf4/y+YQ7MqVr6MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f888c5c1610>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "reload(modules.timing)\n",
    "modules.timing.drawConvolveTiming([\"simple case\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}