{ "cells": [ { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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1XLwIdOkC3Lol9kqnpAA9e8pdKsJeoQ4ZQjXMny8GRgCYMYMCIyEtim450txq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\nSAqYHAkhJAX/BV+VSTiHQ0tBAAAAAElFTkSuQmCC\n", "text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g = plot(x + 2*ln(abs(x/2-1)), (x, 0, 8), thickness=2, ticks=[None, 1],\n", " gridlines='minors', axes_labels=[r'$r/m$', r'$r_*/m$'],\n", " aspect_ratio=1, ymin=-8)\n", "g" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": true }, "outputs": [], "source": [ "g.save(\"sch_tortoise.pdf\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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rWFVVlTzPU2lp6U7nkZOTs9P5jRw5UsXFxXWeR40xY8aosLCw1jHOI3zn8dZb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\nmAEPPwwtW1oXm4iIqGgQERELffMNPPYYvPaaGfR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"text/plain": [ "Graphics object consisting of 1 graphics primitive" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g = plot(exp(x)*(x-1), (x, 0, 2), thickness=2, ticks=[None, 1],\n", " gridlines='minors', axes_labels=[r'$x$', r'$F(x)$'])\n", "g" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "g.save(\"sch_X2mT2.pdf\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "SageMath 7.3.beta4", "language": "", "name": "sagemath" }, "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" }, "widgets": { "state": {}, "version": "1.1.2" } }, "nbformat": 4, "nbformat_minor": 0 }