diff --git a/1 - Introduction to Notebooks and Python.ipynb b/1 - Introduction to Notebooks and Python.ipynb index dc42fa8..50c7dd6 100644 --- a/1 - Introduction to Notebooks and Python.ipynb +++ b/1 - Introduction to Notebooks and Python.ipynb @@ -40,9 +40,20 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "6" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "4 + 2" ] @@ -64,7 +75,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 25, "metadata": {}, "outputs": [], "source": [ @@ -73,16 +84,27 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "a" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 27, "metadata": {}, "outputs": [], "source": [ @@ -91,16 +113,27 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "a" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 29, "metadata": {}, "outputs": [], "source": [ @@ -109,34 +142,67 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "7" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "a" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "a==3" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "a==7" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 33, "metadata": {}, "outputs": [], "source": [ @@ -145,9 +211,25 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 34, + "metadata": { + "tags": [ + "raises-exception" + ] + }, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'a' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0ma\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;31mNameError\u001b[0m: name 'a' is not defined" + ] + } + ], "source": [ "a" ] @@ -164,7 +246,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 35, "metadata": {}, "outputs": [], "source": [ @@ -188,9 +270,20 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 4, 6, 2]" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "a = [1, 4, 6, 2]\n", "a" @@ -198,9 +291,20 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1, 4, 6, 2])" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "b = numpy.array(a)\n", "b" @@ -208,18 +312,40 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 4, 6, 2, 1, 4, 6, 2]" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "a + a" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 2, 8, 12, 4])" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "b + b" ] @@ -233,9 +359,20 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(1, 4, 6, 2)" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "c = (1, 4, 6, 2)\n", "c" @@ -243,9 +380,20 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(1, 4, 6, 2, 1, 4, 6, 2)" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "c + c" ] @@ -259,18 +407,37 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1, 4, 6, 2] 1 6\n" + ] + } + ], "source": [ "print(a, a[0], a[2])" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[7, 4, 6, 2]" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "a[0] = 7\n", "a" @@ -278,18 +445,42 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1, 4, 6, 2) 1 6\n" + ] + } + ], "source": [ "print (c, c[0], c[2])" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 46, + "metadata": { + "tags": [ + "raises-exception" + ] + }, + "outputs": [ + { + "ename": "TypeError", + "evalue": "'tuple' object does not support item assignment", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mc\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m7\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mc\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mTypeError\u001b[0m: 'tuple' object does not support item assignment" + ] + } + ], "source": [ "c[0] = 7\n", "c" @@ -311,7 +502,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 47, "metadata": {}, "outputs": [], "source": [ @@ -320,7 +511,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 48, "metadata": {}, "outputs": [], "source": [ @@ -331,18 +522,40 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'Henry'" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "d[\"name\"]" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['name', 'color', 'age'])" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "d.keys()" ] @@ -356,7 +569,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 51, "metadata": {}, "outputs": [], "source": [ @@ -367,7 +580,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 52, "metadata": {}, "outputs": [], "source": [ @@ -376,7 +589,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 53, "metadata": {}, "outputs": [], "source": [ @@ -387,9 +600,20 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "7" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "f.x" ] @@ -403,9 +627,22 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 56, + "metadata": { + "tags": [ + "raises-exception" + ] + }, + "outputs": [ + { + "ename": "SyntaxError", + "evalue": "invalid syntax (, line 1)", + "output_type": "error", + "traceback": [ + "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m1\u001b[0m\n\u001b[0;31m f.\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" + ] + } + ], "source": [ "f." ] @@ -420,7 +657,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 57, "metadata": {}, "outputs": [], "source": [ @@ -438,9 +675,32 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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8nEN/xMCnpLG+Ih+bXQXw+QMsVIvB5KSiqSWIB1ctw/JlvG8w/REDn5JKvceNCz1DONs5YPUotvXxlev4op9FafRVDHxKKs9tqWShWoya/EHk5WRg18Zyq0ehJMPAp6RSsCgTT28sx2utXSxUW4CBO2M4drYbe2oqkZPJojT6MgY+JR1vXahQ7a02FqrN1+unu3B3nEVpFF5MgS8iRSLyjoh8avx3aYTlPhORsyLSKiL+WNZJqW/HShaqLZTPHypK21TFojT6qlj38H8I4D1VXQvgPePPkTyqqjWq6olxnZTi0tIE3lo3fnf5Or64zkK1aJ3vHsSZ4AC8LEqjCGIN/D0AfmY8/hmAvTG+HxGAaYVqLdzLj5bPH0BWehqL0iiiWAO/TFW7AcD4b2mE5RTA2yLSIiIHZntDETkgIn4R8ff19cU4HtlVZeEiPMxCtajdHZ/A4VOdoYoKFqVRBHMGvoi8KyJtYb72zGM9O1V1G4CnAXxfRB6OtKCqvqKqHlX1lJSwA8TJvB43ugdG8JtP+Q//XN491xsqSuO19zSLjLkWUNXHI70mIldFpEJVu0WkAkBvhPfoMv7bKyKHAGwHcGKBM5NDPL6hFEtzM9HkD+KRdZF+eSQgdDinsiAHD60ptnoUSmKxHtI5AuB7xuPvAXht5gIislhE8qYeA3gSQFuM6yUHmCpUe/tcD/pZqBZR1807OPEpi9JobrEG/n8D8ISIfArgCePPEJFKETlmLFMG4EMROQ3gDwCOqupbMa6XHKKhzo2xCWWh2iwOtgShGqqlIJrNnId0ZqOq1wE8Fub5LgC7jceXAWyJZT3kXA+U52OLqwBN/gD+ZOcKXm44Q6goLYCvr14GdxGL0mh2/KQtJb2pQrUzQRaqzfTx5esI9N9hURpFhYFPSe+5GhaqReLzB5CXk4GnqlmURnNj4FPSy8/JxO5NFTjS2oU7oyxUmzJwZwxvtvVgb00Vi9IoKgx8sgWvx42hu+N4q73b6lGSxhEWpdE8MfDJFr62sgjLi3JZqDaNrzmA9RX52FiVb/UoZBMMfLKFtDSB1+PCx5f78fn121aPY7lzXYM42zkAr8fFK5coagx8so19tS6kSeiOTk43VZS2t4ZFaRQ9Bj7ZRkXBIjx8PwvV7o5P4HBrJ56oZlEazQ8Dn2zF63GjZ3AEJxxcqPbOuau4OTyGBp6spXli4JOtPL6+DEWLs+Bz8MnbxuYAqgoXYSeL0mieGPhkK1kZoePW756/iuu37lo9TsJ13ryDDzuuYR+L0mgBGPhkO04uVDvoN4rSal1Wj0I2xMAn21lXnoct7kL4/AGoOufk7VRR2s41LEqjhWHgky15PS58cvUWTjuoUO13l68jeOMOP1lLC8bAJ1v69pZK5GQ6q1DN5w8gn0VpFAMGPtlSfk4mdm+swOsOKVQbGDaK0rayKI0WjoFPtuWtCxWqvdmW+oVqR053YpRFaRQjBj7Z1tdWFuG+Zc4oVGv0B7ChIh8bqwqsHoVsjIFPtiUi8Hrc+P2Vfnx2LXUL1dq7BtDWOQivh5diUmwY+GRr+7YZhWotqbuX3+QPhorStrIojWLDwCdbKy/IwTdTuFBtZGwCh0514snqMhTmsiiNYsPAJ9vzety4OngXJz5JvUK1d85dxcCdMd6knEzBwCfbe8woVEvFk7c+v1GUtppFaRQ7Bj7ZXlZGGp7fmnqFasEbw/iw4xr217qQxqI0MkFMgS8i9SLSLiKTIuKZZbldInJRRDpE5IexrJMonIY6N8YnU6tQ7WBL6M5e9bw6h0wS6x5+G4AXAJyItICIpAP4MYCnAWwA8B0R2RDjeom+5P6yPNS4C9HYnBqFapOTiiZ/EDtXF8O1lEVpZI6YAl9Vz6vqxTkW2w6gQ1Uvq+oogF8A2BPLeonC8Xrc+LT3FloDN60eJWa/vXQdnTfvwMuTtWSiRBzDrwIw/Wxa0HguLBE5ICJ+EfH39aXeVRcUP9/eUmEUqtn/Juc+fwAFizLx5IYyq0ehFDJn4IvIuyLSFuYr2r30cGebIv7OraqvqKpHVT0lJSVRroIIyMvJxO5NFXj9dBeGR8etHmfBBobH8FZ7D/bWVLIojUyVMdcCqvp4jOsIApj+e6kLQFeM70kUVoPHjV+e7MSbZ3uwz6Z3hXrNKEqrZ1EamSwRh3SaAawVkZUikgXgRQBHErBecqDtK4uwYlkuGm3ck9/YHEB1JYvSyHyxXpb5vIgEATwI4KiIHDeerxSRYwCgquMAfgDgOIDzAHyq2h7b2EThiQjqPW784Uo/rtiwUK2tcwDtXYOsQaa4iPUqnUOq6lLVbFUtU9WnjOe7VHX3tOWOqer9qrpaVf8m1qGJZnOvUM2Ge/lN/gCyMtKwt4ZFaWQ+ftKWUk55QQ4eWVeKgy1BjE9MWj1O1EbGJnC4tQu7qstRkJtp9TiUghj4lJK8Hhd6h+7ixKf2ubT3baMojYdzKF4Y+JSSvvVAGZbZrFDN1xwqSvv66mVWj0IpioFPKWmqUO298724ZoNCtUD/MD66dA31HhalUfww8ClleacK1U4mf6HaVFHafpt+doDsgYFPKWuqUM3nT+5CtclJxcGWIB5aw6I0ii8GPqW0hrpQodqpJC5U++jStVBRGk/WUpwx8CmlPbu5Aosy05P6mnyfP4iCRZl4gkVpFGcMfEppfyxU607KQrWbw6M43t6D57dWsSiN4o6BTymvoc6NW3fHcexsj9WjfMVrrV1GURpP1lL8MfAp5dWtWIqVxYvhS8Jr8hubA9hYlY/qShalUfwx8CnlhQrVXPjDZ/243HfL6nHuaescwLluFqVR4jDwyRHuFaq1JM/dsHxGUdqeLSxKo8Rg4JMjlOXn4NF1pXg1SQrVRsYmcPhUJ57eyKI0ShwGPjlGvceN3qG7+PUn1heqHW/vweDIOA/nUEIx8MkxHltfiuIlyVGo5vMH4Fq6CA+uYlEaJQ4DnxwjMz1UqPb+hV70DVlXqBboH8ZHHddRX+tmURolFAOfHMXrMQrVTll38rapJQgRYD+vvacEY+CTo6wty8PW5YXw+YOWFKpNTCoO+gN4aE0xqgoXJXz95GwMfHKcBo8bHb23cPKLxBeqfdRxDV0DI2io48laSjwGPjnOs1sqLStU8/kDKMxlURpZg4FPjrMkOwPPbK7A66e7cPtu4grVbtwexdvtV7G3pgrZGSxKo8Rj4JMjNdS5cXt0AsfOdidsna+1dmJ0YpLX3pNlGPjkSJ77lmJV8WL4EnRYR1XR6A9iU1UBNlTmJ2SdRDPFFPgiUi8i7SIyKSKeWZb7TETOikiriPhjWSeRGUKFam40f3YDlxJQqNbWOYjz3YPw8mQtWSjWPfw2AC8AOBHFso+qao2qRvyHgSiR9m2rQnqaoMkf/2vyff4AsjPS8NyWyriviyiSmAJfVc+r6kWzhiFKpNL8HDy6rgSvnoxvodrI2AQOtxpFaYtYlEbWSdQxfAXwtoi0iMiB2RYUkQMi4hcRf1+f9SVXlNrqPW70Dd3Fry7G72fteHsPhliURklgzsAXkXdFpC3M1555rGenqm4D8DSA74vIw5EWVNVXVNWjqp6SkpJ5rIJo/r71gFGoFseTt43NAbiLFmEHi9LIYhlzLaCqj8e6ElXtMv7bKyKHAGxHdMf9ieIqMz0NL2xz4ScfXkHv0AhK83JMff9A/zB+e+k6/uyJ+1mURpaL+yEdEVksInlTjwE8idDJXqKk4PW4MDGpOHSy0/T3bvIHQkVptSxKI+vFelnm8yISBPAggKMictx4vlJEjhmLlQH4UEROA/gDgKOq+lYs6yUy05rSPGxbXgifP2BqodrEpOJgSxDfWFuCShalURKI9SqdQ6rqUtVsVS1T1aeM57tUdbfx+LKqbjG+qlX1b8wYnMhMDXVuXOq7jZNf3DDtPT+cKkrjyVpKEvykLRGAZzZXIjcrHb5m867J9/kDWJqbicc3lJr2nkSxYOATwShU21SBN86YU6h24/Yo3mm/ir1bWZRGyYOBT2SYKlQ7eib2QrVDp1iURsmHgU9kqL1vKVaVxF6opqrw+QPY7CrA+goWpVHyYOATGUQEXo8b/s9voKN34YVqZzsHcKFniHv3lHQY+ETTvDBVqNay8L38qaK0b7MojZIMA59omtK8HDy6rhSvtnRibAGFaiNjE3ittQu7N1WwKI2SDgOfaAavx4VrtxZWqPZWW6gord7DT9ZS8mHgE83w6AOlKF6Sjcbm+R/WaWwOYHlRLnasZFEaJR8GPtEMmelp2LetCh9c7EXv0EjUf++L68P43eXrqK91sSiNkhIDnyiMeo8bE5OKX86jUK2pxShK4+EcSlIMfKIw1pQuQe19S6MuVJsqSnt4bQkqCliURsmJgU8UQYPHjct9t9Hy+dyFar/5tA/dAyNo4E3KKYkx8IkieGZzRahQLYpP3jb5g1iam4nH1rMojZIXA58ogsXZGXh2cwXeONONW7MUqvXfHsXb53rw/FYXi9IoqTHwiWbRUOfG8OgEjp7pirjMoVOdGJtQHs6hpMfAJ5rFtuVThWrhe/JVFU3+ALa4CrCuPC/B0xHNDwOfaBYiggaPGy2f30BH79BXXj8TNIrSuHdPNsDAJ5rD81OFamH28n3+AHIyWZRG9sDAJ5pDaV4OvvVAKV49GfxSodqd0Qkcae3C7o0VyM9hURolPwY+URS8Hjeu3RrFBxd67z33Vns3hu6Oo56992QTDHyiKDy6rgQledlfuia/sTmA+5blYseqIgsnI4oeA58oChnpaXhhWxU+uNiH3sERfH79Nj6+3I/6WhdEWJRG9sDAJ4qS1yhUe/VkJ5r8QaQJsK+WRWlkHzEFvoj8DxG5ICJnROSQiBRGWG6XiFwUkQ4R+WEs6ySyyuqSJfAYhWoHW4J4+H4WpZG9xLqH/w6Ajaq6GcAnAP585gIikg7gxwCeBrABwHdEZEOM6yWyhLfOjSvXbqNncAQNPFlLNhNT4Kvq26o6VTLyMYBwv99uB9ChqpdVdRTALwDsiWW9RFZ5ZlMFFmelo2hxFh5bX2b1OETzkmHie/0JgMYwz1cBmF43GATwtUhvIiIHABwAgOXLl5s4HlHsFmdn4K/3bkR2RjqyMngKjOxlzsAXkXcBlId56S9U9TVjmb8AMA7gn8K9RZjnIt5RQlVfAfAKAHg8nrnvPEGUYC9s44lasqc5A19VH5/tdRH5HoBnATym4W8NFAQw/WCnC0Dk6kEiIoqLWK/S2QXgPwJ4TlWHIyzWDGCtiKwUkSwALwI4Est6iYho/mI9CPl3APIAvCMirSLyMgCISKWIHAMA46TuDwAcB3AegE9V22NcLxERzVNMJ21VdU2E57sA7J7252MAjsWyLiIiig0vMyAicggGPhGRQzDwiYgcgoFPROQQEv7S+eQgIn0APl/gXy8GcM3EcczCueaHc80P55qfVJzrPlUtCfdCUgd+LETEr6oeq+eYiXPND+eaH841P06bi4d0iIgcgoFPROQQqRz4r1g9QASca3441/xwrvlx1FwpewyfiIi+LJX38ImIaBoGPhGRQ9g68Oe6ObqE/Mh4/YyIbEuSuR4RkQGjYbRVRP4yQXP9VER6RaQtwutWba+55rJqe7lF5AMROS8i7SLyb8Msk/BtFuVcCd9mIpIjIn8QkdPGXP81zDJWbK9o5rLkZ8xYd7qInBKRN8K8Zu72UlVbfgFIB3AJwCoAWQBOA9gwY5ndAN5E6K5bOwD8PknmegTAGxZss4cBbAPQFuH1hG+vKOeyantVANhmPM4D8EmS/IxFM1fCt5mxDZYYjzMB/B7AjiTYXtHMZcnPmLHuPwPw/8Kt3+ztZec9/Ghujr4HwM815GMAhSJSkQRzWUJVTwDon2URK7ZXNHNZQlW7VfWk8XgIofs5VM1YLOHbLMq5Es7YBreMP2YaXzOvCrFie0UzlyVExAXgGQD/GGERU7eXnQM/3M3RZ/7QR7OMFXMBwIPGr5hvikh1nGeKlhXbK1qWbi8RWQFgK0J7h9NZus1mmQuwYJsZhydaAfQCeEdVk2J7RTEXYM3P2P8G8B8ATEZ43dTtZefAj+bm6PO6gbpJolnnSYT6LrYA+FsAh+M8U7Ss2F7RsJrzpVgAAAHBSURBVHR7icgSAK8C+HeqOjjz5TB/JSHbbI65LNlmqjqhqjUI3bt6u4hsnLGIJdsrirkSvr1E5FkAvaraMttiYZ5b8Payc+BHc3N0K26gPuc6VXVw6ldMDd0NLFNEiuM8VzSS8obzVm4vEclEKFT/SVV/GWYRS7bZXHNZ/TOmqjcB/ArArhkvWfozFmkui7bXTgDPichnCB36/ZaI/N8Zy5i6vewc+NHcHP0IgO8aZ7p3ABhQ1W6r5xKRchER4/F2hL4P1+M8VzSs2F5zsmp7Gev8CYDzqvo/IyyW8G0WzVxWbDMRKRGRQuPxIgCPA7gwYzErttecc1mxvVT1z1XVpaorEMqJ91X1X8xYzNTtFdM9ba2kquMiMnVz9HQAP1XVdhF5yXj9ZYTuo7sbQAeAYQD/Kknm2g/g34jIOIA7AF5U45R8PInIPyN0NUKxiAQB/BeETmBZtr2inMuS7YXQHti/BHDWOP4LAP8JwPJps1mxzaKZy4ptVgHgZyKSjlBg+lT1Dav/n4xyLqt+xr4intuL1QpERA5h50M6REQ0Dwx8IiKHYOATETkEA5+IyCEY+EREDsHAJyJyCAY+EZFD/H+2jI0U/hHiHwAAAABJRU5ErkJggg==\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "plt.ylim(-2.5,1.5)\n", "plt.title('A Curve')\n", @@ -490,7 +773,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 60, "metadata": {}, "outputs": [], "source": [ @@ -502,25 +785,47 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "addtwo(3)" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "9.4" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "addtwo(7.4)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 63, "metadata": {}, "outputs": [], "source": [ @@ -529,7 +834,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 64, "metadata": {}, "outputs": [], "source": [ @@ -547,9 +852,25 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 66, + "metadata": { + "tags": [ + "raises-exception" + ] + }, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'y' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0my\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;31mNameError\u001b[0m: name 'y' is not defined" + ] + } + ], "source": [ "y" ] @@ -563,7 +884,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 67, "metadata": {}, "outputs": [], "source": [ @@ -576,7 +897,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 68, "metadata": {}, "outputs": [], "source": [ @@ -585,7 +906,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 69, "metadata": {}, "outputs": [], "source": [ @@ -602,7 +923,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 70, "metadata": {}, "outputs": [], "source": [ @@ -611,9 +932,20 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[49, 16, 36, 4]" + ] + }, + "execution_count": 71, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "squares = []\n", "for x in x_list:\n", @@ -631,9 +963,20 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[49, 16, 36, 4]" + ] + }, + "execution_count": 72, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "[x**2 for x in x_list]" ] @@ -647,9 +990,20 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "[x**2 for x in x_list if iseven(x)]" ] @@ -663,18 +1017,40 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 74, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "numpy.arange(10)" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 1, 4, 9, 16, 25, 36, 49, 64, 81])" + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "numpy.arange(10)**2" ] @@ -689,9 +1065,21 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1, 2],\n", + " [2, 3]])" + ] + }, + "execution_count": 76, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "mat = numpy.array([[1, 2], [2, 3]])\n", "mat" @@ -699,9 +1087,20 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 77, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1, 2])" + ] + }, + "execution_count": 77, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "vec = numpy.array([1, 2])\n", "vec" @@ -716,33 +1115,68 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 78, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 5, 8],\n", + " [ 8, 13]])" + ] + }, + "execution_count": 78, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "mat.dot(mat)" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 79, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([5, 8])" + ] + }, + "execution_count": 79, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "mat.dot(vec)" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 80, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5" + ] + }, + "execution_count": 80, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "vec.dot(vec)" ] } ], "metadata": { + "celltoolbar": "Tags", "kernelspec": { "display_name": "Python 3", "language": "python", diff --git a/2 - Random Walks.ipynb b/2 - Random Walks.ipynb index 5767ede..a886ebe 100644 --- a/2 - Random Walks.ipynb +++ b/2 - Random Walks.ipynb @@ -328,6 +328,7 @@ "metadata": {}, "source": [ "One final note: the histogram of the distribution of $x$ positions in the 1D random walk can be approximated well by a function called the _normal_ or _Gaussian_ distribution:\n", + "\n", "$$\n", "\\mathcal{N}(x; \\mu, \\sigma) = \\frac{1}{\\sqrt{2\\pi\\sigma^2}}\\exp\\left(-(x-\\mu)^2/2\\sigma^2\\right)\n", "$$\n", @@ -448,13 +449,6 @@ "plt.plot(xvalues, normal_distribution(xvalues, 0, sqrt(80)))\n", "plt.show()" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { diff --git a/3 - Probability, Large Numbers.ipynb b/3 - Probability, Large Numbers.ipynb index 5f92315..3b82110 100644 --- a/3 - Probability, Large Numbers.ipynb +++ b/3 - Probability, Large Numbers.ipynb @@ -244,6 +244,7 @@ "* the probability of success in each trial is a constant number $p$,\n", "* the outcome of each trial is independent of all previous trials.\n", "The probability distribution of observing $k$ successes given $N$ trials and a success probability $p$ is called the _binomial distribution_. It is a discrete probability distribution (you cannot observe 1.7 heads when you flip coins). The exact value is given by\n", + "\n", "$$ B(k; N, p) = \\left(\\begin{array}{c} N\\\\k\\end{array}\\right) p^k (1-p)^{N-k} = \\frac{N!}{k!(N-k)!} p^k (1-p)^{N-k}$$\n", "Let's unpack this quickly. We want to know the probability to get $k$ successes in $N$ trials. Those $k$ successes could come in any possible order - they could all be at the beginning of the $N$ trials, at the end, or somewhere in between - and and the number The term $\\left(\\begin{array}{c} N\\\\k\\end{array}\\right) = \\frac{N!}{k!(N-k)!}$ tells us how many ways there are of choosing which $k$ of the $N$ trials are successes. Each of those potential orderings has a probability $p^k (1-p)^{N-k}$ to happen: each of the $k$ successes had a probability $p$ to happen, and each of the $N-k$ failures had a probability $1-p$ to happen, so the probability of the sequence of occurrences (since each trial is independent) is the product of all the probabilities.\n", "\n", @@ -351,8 +352,12 @@ "where the mean of the normal distribution is $Np$ and the standard deviation is $\\sqrt{Np(1-p)}$. Let's compare a simulation, the exact binomial result, and a normal distribution. \n", "\n", "When computing the binomial distribution, we note that $n!$ can be a _very_ large number, and that we wind up dividing one large number by other large numbers to get a not-so-large number. We can take logarithm of the very large numbers and make them more tractable:\n", + "\n", "$$ B(k; N, p) = \\frac{N!}{k!(N-k)!}p^k (1-p)^{N-k} = \\exp\\left(\\ln N! - \\ln k! - \\ln (N-k)! + k\\ln p + (N-k) \\ln (1-p)\\right) $$\n", - "There is a result called Stirling's Formula which gives us $$\\ln N! \\approx N \\ln N - N + \\frac{1}{2}\\ln 2\\pi N$$ which we can use for computation." + "There is a result called Stirling's Formula which gives us \n", + "\n", + "$$\\ln N! \\approx N \\ln N - N + \\frac{1}{2}\\ln 2\\pi N$$ \n", + "which we can use for computation." ] }, { diff --git a/4 - Monte Carlo.ipynb b/4 - Monte Carlo.ipynb index c1a75e6..374ecd5 100644 --- a/4 - Monte Carlo.ipynb +++ b/4 - Monte Carlo.ipynb @@ -694,19 +694,12 @@ } ], "source": [ - "# show the evolution at the beginning\n", + "# show the evolution of the sampled x value at the beginning of the chain\n", "plt.plot(range(100), generated_points[:100])\n", "plt.ylim(-1,1)\n", "plt.xlabel('Step #')\n", "plt.show()" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { diff --git a/5 - Brownian Motion.ipynb b/5 - Brownian Motion.ipynb index 16eda84..18d284f 100644 --- a/5 - Brownian Motion.ipynb +++ b/5 - Brownian Motion.ipynb @@ -44,7 +44,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 1, "metadata": {}, "outputs": [ { @@ -62,21 +62,22 @@ " " ], "text/plain": [ - "" + "" ] }, - "execution_count": 8, + "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ + "from IPython.display import YouTubeVideo, HTML\n", "YouTubeVideo('cDcprgWiQEY', width=901, height=676)" ] }, { "cell_type": "code", - "execution_count": 134, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -88,13 +89,12 @@ "matplotlib.rcParams['font.size'] = 16\n", "import math\n", "import tqdm.notebook\n", - "from IPython.display import YouTubeVideo, HTML\n", "from matplotlib import animation" ] }, { "cell_type": "code", - "execution_count": 270, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -114,7 +114,7 @@ }, { "cell_type": "code", - "execution_count": 267, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -163,13 +163,13 @@ }, { "cell_type": "code", - "execution_count": 271, + "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "ffe6b54b1f4a49f89c8f49b46b8f045c", + "model_id": "3e94a42c217c4d64ba6ea45027be838a", "version_major": 2, "version_minor": 0 }, @@ -202,7 +202,7 @@ }, { "cell_type": "code", - "execution_count": 272, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -394,39 +394,39 @@ "\n", "\n", "
\n", - " \n", + " \n", "
\n", - " \n", + " oninput=\"anim3c9df2560aef4d6c9ed3ce973f719369.set_frame(parseInt(this.value));\">\n", "
\n", - " \n", - " \n", + " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", + " \n", "
\n", - "
\n", - " \n", + " \n", - " \n", - " Once\n", + " \n", - " \n", - " Loop\n", + " \n", - " \n", + " \n", "
\n", "
\n", "
\n", @@ -436,52928 +436,31816 @@ " /* Instantiate the Animation class. */\n", " /* The IDs given should match those used in the template above. */\n", " (function() {\n", - " var img_id = \"_anim_imgf2becfa8c7c14fb191acdf9340b55c1d\";\n", - " var slider_id = \"_anim_sliderf2becfa8c7c14fb191acdf9340b55c1d\";\n", - " var loop_select_id = \"_anim_loop_selectf2becfa8c7c14fb191acdf9340b55c1d\";\n", + " var img_id = \"_anim_img3c9df2560aef4d6c9ed3ce973f719369\";\n", + " var slider_id = \"_anim_slider3c9df2560aef4d6c9ed3ce973f719369\";\n", + " var loop_select_id = \"_anim_loop_select3c9df2560aef4d6c9ed3ce973f719369\";\n", " var frames = new Array(500);\n", " \n", " frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAYAAABB4NqyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\\\n", "AAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0\\\n", - "dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAT+0lEQVR4nO3cb6zWdR3/8fcFbMSBJIizYpEcGoGI\\\n", - 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