{ "cells": [ { "attachments": { "Griffiths-Pr-1.10.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "41865e5c", "metadata": {}, "source": [ "![Griffiths-Pr-1.10.png](attachment:Griffiths-Pr-1.10.png)" ] }, { "cell_type": "code", "execution_count": 2, "id": "2f48b287", "metadata": {}, "outputs": [], "source": [ "from mpmath import mp\n", "import numpy as np\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "ac36f952", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.14159265358979323846264338328\n" ] } ], "source": [ "mp.dps=30\n", "print (mp.pi)" ] }, { "cell_type": "code", "execution_count": 4, "id": "00321913", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['3', '1', '4', '1', '5', '9', '2', '6', '5', '3', '5', '8', '9', '7', '9', '3', '2', '3', '8', '4', '6', '2', '6', '4', '3']\n" ] } ], "source": [ "first_25 = [x for x in str(mp.pi) if x.isdigit()][:25]\n", "print (first_25)" ] }, { "cell_type": "code", "execution_count": 5, "id": "979bdd26", "metadata": {}, "outputs": [], "source": [ "values = set(sorted(first_25))" ] }, { "cell_type": "code", "execution_count": 6, "id": "feec7b1b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'1', '2', '3', '4', '5', '6', '7', '8', '9'}" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "values" ] }, { "cell_type": "code", "execution_count": 7, "id": "895ebada", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('1', 2),\n", " ('2', 3),\n", " ('3', 5),\n", " ('4', 3),\n", " ('5', 3),\n", " ('6', 3),\n", " ('7', 1),\n", " ('8', 2),\n", " ('9', 3)]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "hist = sorted([(x, first_25.count(x)) for x in values])\n", "hist" ] }, { "cell_type": "code", "execution_count": 8, "id": "ab3ccf86", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0, 2, 3, 5, 3, 3, 3, 1, 2, 3])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bins = np.bincount(first_25)\n", "bins" ] }, { "cell_type": "code", "execution_count": 9, "id": "cb0c3389", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "25" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "total = sum(bins)\n", "total" ] }, { "cell_type": "markdown", "id": "8be212bb", "metadata": {}, "source": [ "Compute probabilities of each digit" ] }, { "cell_type": "code", "execution_count": 38, "id": "6b739300", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "array([0. , 0.08, 0.12, 0.2 , 0.12, 0.12, 0.12, 0.04, 0.08, 0.12])" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "probs = bins/total\n", "probs" ] }, { "cell_type": "markdown", "id": "8c75a26f", "metadata": {}, "source": [ "What is most probable digit?" ] }, { "cell_type": "code", "execution_count": 39, "id": "3a299ab6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.argmax(probs)" ] }, { "cell_type": "markdown", "id": "d0c7814b", "metadata": {}, "source": [ "What is the median digit?" ] }, { "cell_type": "code", "execution_count": 23, "id": "e7510ea2", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "array([1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8, 8,\n", " 9, 9, 9])" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f25s = np.array(sorted(first_25)).astype(int)\n", "f25s" ] }, { "cell_type": "code", "execution_count": 24, "id": "fac7fe3f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "25" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(f25s)" ] }, { "cell_type": "code", "execution_count": 25, "id": "09e99296", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f25s[13-1]" ] }, { "cell_type": "markdown", "id": "95ed4678", "metadata": {}, "source": [ "what is average value?\n" ] }, { "cell_type": "code", "execution_count": 41, "id": "2742effc", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4.72" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(f25s)" ] }, { "cell_type": "markdown", "id": "b6ecdfce", "metadata": {}, "source": [ "Compute standard deviation" ] }, { "cell_type": "code", "execution_count": 37, "id": "6e03dfd1", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.4741867350707385" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.sqrt(np.square(f25s).sum()/25 - np.mean(f25s)**2)" ] }, { "cell_type": "code", "execution_count": 28, "id": "bb10b127", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.4741867350707385" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.std(f25s)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }