1-ScientificPython.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1)  Markdown\n",
    "<!---\n",
    "\n",
    "-->"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is a markdown cell:\n",
    "* Bullets\n",
    "* Latex formulas: $\\int_a^b x dx$\n",
    "* [Links](http://www.google.cl)\n",
    "* Code: ``python setup.py``\n",
    "```Python\n",
    "for i in range(10):\n",
    "    print(i**2)\n",
    "```\n",
    "* Tables\n",
    "\n",
    "| **X** | **Y** |\n",
    "|-------|-------|\n",
    "| 3.145 | 2.34  |\n",
    "| 0.32  | 3     |\n",
    "* Images\n",
    "<img src=\"https://vo.chivo.cl/static/img/logo_chivo.png\" width=\"400\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2) Code cells\n",
    "\n",
    "<!--\n",
    "\n",
    "-->"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 2, 3, 4, 5]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[1, 4, 9, 16, 25]"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# This is a code cell (python code)\n",
    "import math\n",
    "a = [1,2,3,4,5]\n",
    "b = []\n",
    "for i in a:\n",
    "    b.append(i*i)\n",
    "print(a)\n",
    "# The last line is returned as output of the cell\n",
    "b"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3) Lists, tuples and dictionaries\n",
    "<!--\n",
    "\n",
    "-->"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[32, 42.0, '42']"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# lists (mutables)\n",
    "lst = [42,42.0,\"42\"]\n",
    "lst[0]=32\n",
    "lst"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "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<ipython-input-3-6b5f5585abcf>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0;31m# tuples (inmutables)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      2\u001b[0m \u001b[0mtup\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0;36m42\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m42.0\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m'42'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mtup\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m32\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      4\u001b[0m \u001b[0mtup\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mTypeError\u001b[0m: 'tuple' object does not support item assignment"
     ]
    }
   ],
   "source": [
    "# tuples (inmutables)\n",
    "tup = (42,42.0,'42')\n",
    "tup[0]=32\n",
    "tup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n",
      "2.5\n"
     ]
    }
   ],
   "source": [
    "# Dictionaries\n",
    "dt ={'uno':1,'dos':2,'dos y medio':2.5,'tres':3}\n",
    "print(dt['uno'])\n",
    "print(dt['dos y medio'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 4) Imports\n",
    "<!--\n",
    "# Original Namespace Import\n",
    "import numpy\n",
    "a = numpy.array([1,2,3,4])\n",
    "\n",
    "# Renaming Namespace Import\n",
    "import numpy as np\n",
    "b = np.array([1,2,3,4])\n",
    "\n",
    "# Namespace Inclusion Import\n",
    "from numpy import *\n",
    "c = array([1,2,3,4])\n",
    "\n",
    "print(np.array_equal(a,b))\n",
    "np.array_equal(a,c);\n",
    "-->"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True\n"
     ]
    }
   ],
   "source": [
    "# Original Namespace Import\n",
    "import numpy\n",
    "a = numpy.array([1,2,3,4])\n",
    "\n",
    "# Renaming Namespace Import\n",
    "import numpy as np\n",
    "b = np.array([1,2,3,4])\n",
    "\n",
    "# Namespace Inclusion Import\n",
    "from numpy import *\n",
    "c = array([1,2,3,4])\n",
    "\n",
    "print(np.array_equal(a,b))\n",
    "np.array_equal(a,c);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 5) Magics\n",
    "<!--\n",
    "\n",
    "-->"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "440 µs ± 22.9 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n"
     ]
    }
   ],
   "source": [
    "%timeit [i for i in range(10000)]\n",
    "# this will list all magic commands"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/json": {
       "cell": {
        "!": "OSMagics",
        "HTML": "Other",
        "SVG": "Other",
        "bash": "Other",
        "capture": "ExecutionMagics",
        "debug": "ExecutionMagics",
        "file": "Other",
        "html": "DisplayMagics",
        "javascript": "DisplayMagics",
        "js": "DisplayMagics",
        "latex": "DisplayMagics",
        "markdown": "DisplayMagics",
        "perl": "Other",
        "prun": "ExecutionMagics",
        "pypy": "Other",
        "python": "Other",
        "python2": "Other",
        "python3": "Other",
        "ruby": "Other",
        "script": "ScriptMagics",
        "sh": "Other",
        "svg": "DisplayMagics",
        "sx": "OSMagics",
        "system": "OSMagics",
        "time": "ExecutionMagics",
        "timeit": "ExecutionMagics",
        "writefile": "OSMagics"
       },
       "line": {
        "alias": "OSMagics",
        "alias_magic": "BasicMagics",
        "autocall": "AutoMagics",
        "automagic": "AutoMagics",
        "autosave": "KernelMagics",
        "bookmark": "OSMagics",
        "cat": "Other",
        "cd": "OSMagics",
        "clear": "KernelMagics",
        "colors": "BasicMagics",
        "config": "ConfigMagics",
        "connect_info": "KernelMagics",
        "cp": "Other",
        "debug": "ExecutionMagics",
        "dhist": "OSMagics",
        "dirs": "OSMagics",
        "doctest_mode": "BasicMagics",
        "ed": "Other",
        "edit": "KernelMagics",
        "env": "OSMagics",
        "gui": "BasicMagics",
        "hist": "Other",
        "history": "HistoryMagics",
        "killbgscripts": "ScriptMagics",
        "ldir": "Other",
        "less": "KernelMagics",
        "lf": "Other",
        "lk": "Other",
        "ll": "Other",
        "load": "CodeMagics",
        "load_ext": "ExtensionMagics",
        "loadpy": "CodeMagics",
        "logoff": "LoggingMagics",
        "logon": "LoggingMagics",
        "logstart": "LoggingMagics",
        "logstate": "LoggingMagics",
        "logstop": "LoggingMagics",
        "ls": "Other",
        "lsmagic": "BasicMagics",
        "lx": "Other",
        "macro": "ExecutionMagics",
        "magic": "BasicMagics",
        "man": "KernelMagics",
        "matplotlib": "PylabMagics",
        "mkdir": "Other",
        "more": "KernelMagics",
        "mv": "Other",
        "notebook": "BasicMagics",
        "page": "BasicMagics",
        "pastebin": "CodeMagics",
        "pdb": "ExecutionMagics",
        "pdef": "NamespaceMagics",
        "pdoc": "NamespaceMagics",
        "pfile": "NamespaceMagics",
        "pinfo": "NamespaceMagics",
        "pinfo2": "NamespaceMagics",
        "pip": "BasicMagics",
        "popd": "OSMagics",
        "pprint": "BasicMagics",
        "precision": "BasicMagics",
        "profile": "BasicMagics",
        "prun": "ExecutionMagics",
        "psearch": "NamespaceMagics",
        "psource": "NamespaceMagics",
        "pushd": "OSMagics",
        "pwd": "OSMagics",
        "pycat": "OSMagics",
        "pylab": "PylabMagics",
        "qtconsole": "KernelMagics",
        "quickref": "BasicMagics",
        "recall": "HistoryMagics",
        "rehashx": "OSMagics",
        "reload_ext": "ExtensionMagics",
        "rep": "Other",
        "rerun": "HistoryMagics",
        "reset": "NamespaceMagics",
        "reset_selective": "NamespaceMagics",
        "rm": "Other",
        "rmdir": "Other",
        "run": "ExecutionMagics",
        "save": "CodeMagics",
        "sc": "OSMagics",
        "set_env": "OSMagics",
        "store": "StoreMagics",
        "sx": "OSMagics",
        "system": "OSMagics",
        "tb": "ExecutionMagics",
        "time": "ExecutionMagics",
        "timeit": "ExecutionMagics",
        "unalias": "OSMagics",
        "unload_ext": "ExtensionMagics",
        "who": "NamespaceMagics",
        "who_ls": "NamespaceMagics",
        "whos": "NamespaceMagics",
        "xdel": "NamespaceMagics",
        "xmode": "BasicMagics"
       }
      },
      "text/plain": [
       "Available line magics:\n",
       "%alias  %alias_magic  %autocall  %automagic  %autosave  %bookmark  %cat  %cd  %clear  %colors  %config  %connect_info  %cp  %debug  %dhist  %dirs  %doctest_mode  %ed  %edit  %env  %gui  %hist  %history  %killbgscripts  %ldir  %less  %lf  %lk  %ll  %load  %load_ext  %loadpy  %logoff  %logon  %logstart  %logstate  %logstop  %ls  %lsmagic  %lx  %macro  %magic  %man  %matplotlib  %mkdir  %more  %mv  %notebook  %page  %pastebin  %pdb  %pdef  %pdoc  %pfile  %pinfo  %pinfo2  %popd  %pprint  %precision  %profile  %prun  %psearch  %psource  %pushd  %pwd  %pycat  %pylab  %qtconsole  %quickref  %recall  %rehashx  %reload_ext  %rep  %rerun  %reset  %reset_selective  %rm  %rmdir  %run  %save  %sc  %set_env  %store  %sx  %system  %tb  %time  %timeit  %unalias  %unload_ext  %who  %who_ls  %whos  %xdel  %xmode\n",
       "\n",
       "Available cell magics:\n",
       "%%!  %%HTML  %%SVG  %%bash  %%capture  %%debug  %%file  %%html  %%javascript  %%js  %%latex  %%markdown  %%perl  %%prun  %%pypy  %%python  %%python2  %%python3  %%ruby  %%script  %%sh  %%svg  %%sx  %%system  %%time  %%timeit  %%writefile\n",
       "\n",
       "Automagic is ON, % prefix IS NOT needed for line magics."
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%lsmagic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1-ScientificPython.ipynb\n",
      "2-AstroPython.ipynb\n",
      "3-ipyaladin.ipynb\n",
      "ALMA-OrionKL-band6-cont.fits\n",
      "ALMA-OrionKL-band6-methanol.fits\n",
      "ALMA-OrionKL-band6-methanon-mom0.fits\n",
      "Test.ipynb\n",
      "chivo_search.ipynb\n",
      "emhbeta_flux.fits\n",
      "emnii6584_flux.fits\n",
      "emsii6731_flux.fits\n",
      "prep\n",
      "view.fits\n",
      "USER              PID  %CPU %MEM      VSZ    RSS   TT  STAT STARTED      TIME COMMAND\n",
      "mauricio         1620 100.0  0.5  2501624  39088   ??  Ss    1:52PM   0:06.11 /Users/mauricio/anaconda3/envs/adassws/bin/python -m ipykernel_launcher -f /Users/mauricio/Library/Jupyter/runtime/kernel-3c0b56b7-f0f5-4ef3-a00a-7b52c3318f70.json\n",
      "_windowserver     204   5.3  1.3  4544648 113136   ??  Ss   10:25AM   8:56.41 /System/Library/PrivateFrameworks/SkyLight.framework/Resources/WindowServer -daemon\n",
      "root              108   1.6  0.1  2518044   9824   ??  Ss   10:25AM   0:07.85 /usr/libexec/opendirectoryd\n",
      "mauricio          508   1.4  0.4  3644300  33984   ??  Ss   10:26AM   0:39.38 /System/Library/StagedFrameworks/Safari/WebKit.framework/Versions/A/XPCServices/com.apple.WebKit.Networking.xpc/Contents/MacOS/com.apple.WebKit.Networking\n",
      "mauricio          582   0.7  0.8  4444964  70808   ??  S    10:26AM   1:21.26 /Applications/Dropbox.app/Contents/MacOS/Dropbox\n",
      "mauricio          435   0.2  2.0  4178164 171344   ??  S    10:26AM   7:17.82 /Applications/Safari.app/Contents/MacOS/Safari -psn_0_45067\n",
      "root              320   0.2  1.0  3900664  84172   ??  Ss   10:25AM   0:34.23 /System/Library/Frameworks/CoreServices.framework/Frameworks/Metadata.framework/Versions/A/Support/mds_stores\n",
      "root               91   0.1  0.2  2596112  19616   ??  Ss   10:25AM   0:31.05 /System/Library/Frameworks/CoreServices.framework/Frameworks/Metadata.framework/Support/mds\n",
      "mauricio          584   0.1  0.7  3035648  61144   ??  S    10:26AM   1:07.46 /Applications/Backup and Sync.app/Contents/MacOS/Backup and Sync\n",
      "_netbios         1796   0.0  0.1  2472824   5408   ??  SNs   4:33PM   0:00.28 /usr/sbin/netbiosd\n",
      "root             1792   0.0  0.0  2494892   3588   ??  Ss    4:33PM   0:00.03 /usr/sbin/ocspd\n",
      "mauricio         1787   0.0  0.1  2470836   4552   ??  Ss    4:33PM   0:00.07 /System/Library/SystemConfiguration/EAPOLController.bundle/Contents/Resources/eapolclient -i en0 -u 501 -g 20\n",
      "mauricio         1772   0.0  0.6  2483368  51412   ??  Ss    3:22PM   0:02.65 /Users/mauricio/anaconda3/envs/adassws/bin/python -m ipykernel_launcher -f /Users/mauricio/Library/Jupyter/runtime/kernel-b00b4b12-56ed-4e38-b2e0-0f6ca7b41f1b.json\n",
      "mauricio         1716   0.0  0.0  2461044   1436 s002  Ss+   2:42PM   0:00.01 /bin/bash\n",
      "mauricio         1686   0.0  0.1  2483112   8776   ??  Ss    2:36PM   0:01.68 /Users/mauricio/anaconda3/envs/adassws/bin/python -m ipykernel_launcher -f /Users/mauricio/Library/Jupyter/runtime/kernel-aba967d8-6425-40ea-bd45-889eff2dd953.json\n",
      "mauricio         1681   0.0  4.6 99484380 386080   ??  Ss    2:36PM   0:49.17 /Users/mauricio/anaconda3/envs/adassws/bin/python -m ipykernel_launcher -f /Users/mauricio/Library/Jupyter/runtime/kernel-c64ff787-ad95-4d55-8ef4-34ee19f402bf.json\n",
      "mauricio         1659   0.0  0.2  2561620  14680   ??  S     2:09PM   0:00.47 /System/Library/CoreServices/OSDUIHelper.app/Contents/MacOS/OSDUIHelper\n",
      "mauricio         1617   0.0  4.1  4188268 348116   ??  Ss    1:52PM   2:31.30 /System/Library/StagedFrameworks/Safari/WebKit.framework/Versions/A/XPCServices/com.apple.WebKit.WebContent.xpc/Contents/MacOS/com.apple.WebKit.WebContent\n",
      "root             1598   0.0  0.0  2469980   1232   ??  Ss    1:51PM   0:00.01 /usr/libexec/syspolicyd\n",
      "mauricio         1593   0.0  0.5  2483512  39564 s000  S+    1:51PM   0:27.34 /Users/mauricio/anaconda3/envs/adassws/bin/python /Users/mauricio/anaconda3/envs/adassws/bin/jupyter-notebook\n",
      "mauricio         1539   0.0  3.8  4262460 318472   ??  Ss    1:41PM   0:48.19 /System/Library/StagedFrameworks/Safari/WebKit.framework/Versions/A/XPCServices/com.apple.WebKit.WebContent.xpc/Contents/MacOS/com.apple.WebKit.WebContent\n",
      "mauricio         1414   0.0  0.4  2516916  31244   ??  S     1:16PM   0:00.65 /System/Library/Frameworks/CoreServices.framework/Frameworks/Metadata.framework/Versions/A/Support/mdworker -s mdworker -c MDSImporterWorker -m com.apple.mdworker.shared\n",
      "mauricio         1413   0.0  0.3  2516452  23100   ??  S     1:16PM   0:00.74 /System/Library/Frameworks/CoreServices.framework/Frameworks/Metadata.framework/Versions/A/Support/mdworker -s mdworker -c MDSImporterWorker -m com.apple.mdworker.shared\n",
      "mauricio         1412   0.0  0.3  2511732  27312   ??  S     1:16PM   0:00.36 /System/Library/Frameworks/CoreServices.framework/Frameworks/Metadata.framework/Versions/A/Support/mdworker -s mdworker -c MDSImporterWorker -m com.apple.mdworker.shared\n",
      "mauricio         1411   0.0  0.3  2496536  22124   ??  S     1:16PM   0:00.44 /System/Library/Frameworks/CoreServices.framework/Frameworks/Metadata.framework/Versions/A/Support/mdworker -s mdworker -c MDSImporterWorker -m com.apple.mdworker.shared\n",
      "mauricio         1364   0.0  0.0  2501420   4048   ??  S     1:13PM   0:00.08 /System/Library/PrivateFrameworks/CoreSpotlight.framework/Support/com.apple.spotlight.IndexAgent\n",
      "mauricio         1217   0.0  0.0  2461044   2228 s001  S+    1:04PM   0:00.15 -bash\n",
      "root             1216   0.0  0.0  2469468   1528 s001  Ss    1:04PM   0:00.02 login -pfl mauricio /bin/bash -c exec -la bash /bin/bash\n",
      "root             1214   0.0  0.0  2469648   2512   ??  Ss    1:04PM   0:00.03 /System/Library/PrivateFrameworks/CommerceKit.framework/Versions/A/Resources/storeinstalld\n",
      "mauricio         1193   0.0  0.2  2569600  15160   ??  Ss    1:03PM   0:00.17 /System/Library/StagedFrameworks/Safari/SafariShared.framework/Versions/A/XPCServices/com.apple.Safari.ImageDecoder.xpc/Contents/MacOS/com.apple.Safari.ImageDecoder\n",
      "_softwareupdate  1189   0.0  0.0  2496120   2452   ??  Ss    1:03PM   0:00.05 /System/Library/CoreServices/Software Update.app/Contents/Resources/softwareupdate_download_service\n",
      "mauricio         1188   0.0  3.5  4030560 296832   ??  Ss    1:03PM   0:55.88 /System/Library/StagedFrameworks/Safari/WebKit.framework/Versions/A/XPCServices/com.apple.WebKit.WebContent.xpc/Contents/MacOS/com.apple.WebKit.WebContent\n",
      "mauricio         1187   0.0  0.0  2469976   2420   ??  S     1:02PM   0:00.03 /System/Library/Frameworks/MediaAccessibility.framework/Versions/A/XPCServices/com.apple.accessibility.mediaaccessibilityd.xpc/Contents/MacOS/com.apple.accessibility.mediaaccessibilityd\n",
      "mauricio         1170   0.0  0.2  2576604  19456   ??  Ss    1:02PM   0:01.28 /System/Library/StagedFrameworks/Safari/SafariShared.framework/Versions/A/XPCServices/com.apple.Safari.SearchHelper.xpc/Contents/MacOS/com.apple.Safari.SearchHelper\n",
      "mauricio         1169   0.0  0.1  3619356   9692   ??  Ss    1:02PM   0:00.46 /System/Library/StagedFrameworks/Safari/WebKit.framework/Versions/A/XPCServices/com.apple.WebKit.Databases.xpc/Contents/MacOS/com.apple.WebKit.Databases\n",
      "root             1165   0.0  0.0  2472564   2740   ??  Ss    1:02PM   0:00.14 /usr/sbin/cupsd -l\n",
      "mauricio         1156   0.0  0.1  2497408   5412   ??  S     1:01PM   0:00.14 /System/Library/PrivateFrameworks/AssetCacheServices.framework/XPCServices/AssetCacheLocatorService.xpc/Contents/MacOS/AssetCacheLocatorService -a\n",
      "mauricio         1155   0.0  0.1  2495920   4716   ??  S     1:01PM   0:00.12 /System/Library/Frameworks/CoreServices.framework/Frameworks/Metadata.framework/Versions/A/Support/mdwrite\n",
      "mauricio         1112   0.0  0.4  2673224  37108   ??  S    12:59PM   0:01.31 /System/Library/Services/AppleSpell.service/Contents/MacOS/AppleSpell\n",
      "mauricio         1044   0.0  0.0  2469664   3072   ??  S    12:54PM   0:00.09 /System/Library/Frameworks/ApplicationServices.framework/Versions/A/Frameworks/HIServices.framework/Versions/A/XPCServices/com.apple.hiservices-xpcservice.xpc/Contents/MacOS/com.apple.hiservices-xpcservice\n",
      "mauricio         1038   0.0  0.7  2609876  55848   ??  Ss   12:54PM   0:00.94 /Applications/Dropbox.app/Contents/PlugIns/garcon.appex/Contents/MacOS/garcon\n",
      "mauricio         1033   0.0  0.5  2668636  45912   ??  Ss   12:54PM   0:07.49 /System/Library/Frameworks/AppKit.framework/Versions/C/XPCServices/com.apple.appkit.xpc.openAndSavePanelService.xpc/Contents/MacOS/com.apple.appkit.xpc.openAndSavePanelService\n",
      "mauricio         1031   0.0  2.5  3006156 207176   ??  S    12:54PM   1:16.92 /Applications/Keynote.app/Contents/MacOS/Keynote\n",
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      "mauricio          952   0.0  0.1  2510088   9968   ??  S    12:49PM   0:02.52 /System/Library/PrivateFrameworks/SafariSafeBrowsing.framework/com.apple.Safari.SafeBrowsing.Service\n",
      "mauricio          846   0.0  0.0  2461044   2560 s000  S    12:47PM   0:00.20 -bash\n",
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      "root              843   0.0  0.0  2469468   2504 s000  Ss   12:47PM   0:00.03 login -pf mauricio\n",
      "mauricio          813   0.0  0.1  2474668   8616   ??  Ss   12:46PM   0:00.08 /Library/Frameworks/iTunesLibrary.framework/Versions/A/XPCServices/com.apple.iTunesLibraryService.xpc/Contents/MacOS/com.apple.iTunesLibraryService\n",
      "mauricio          812   0.0  0.5  2575760  41648   ??  Ss   12:46PM   0:00.15 /System/Library/PrivateFrameworks/AssistantServices.framework/Versions/A/XPCServices/media-indexer.xpc/Contents/MacOS/media-indexer\n",
      "mauricio          802   0.0  0.0  2469896   2104   ??  Ss   12:46PM   0:00.02 /System/Library/Frameworks/AudioToolbox.framework/XPCServices/com.apple.audio.SandboxHelper.xpc/Contents/MacOS/com.apple.audio.SandboxHelper\n",
      "mauricio          800   0.0  0.0  2470180   1968   ??  S    12:46PM   0:00.04 /System/Library/PrivateFrameworks/CoreCDP.framework/Versions/A/Resources/cdpd\n",
      "mauricio          799   0.0  0.1  2499764   7908   ??  S    12:46PM   0:00.66 /System/Library/PrivateFrameworks/CloudServices.framework/Versions/A/XPCServices/com.apple.sbd.xpc/Contents/MacOS/com.apple.sbd\n",
      "mauricio          795   0.0  0.0  2469692   3756   ??  S    12:46PM   0:00.16 /System/Library/CoreServices/EscrowSecurityAlert.app/Contents/MacOS/EscrowSecurityAlert\n",
      "mauricio          794   0.0  0.1  2495272   4296   ??  S    12:46PM   0:00.17 /System/Library/PrivateFrameworks/ProtectedCloudStorage.framework/Helpers/ProtectedCloudKeySyncing\n",
      "mauricio          791   0.0  0.0  2471068   3556   ??  S    12:46PM   0:00.05 /usr/libexec/USBAgent\n",
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      "root              780   0.0  0.0  2469772    664   ??  Ss   10:31AM   0:00.72 /Library/PrivilegedHelperTools/com.microsoft.autoupdate.helper\n",
      "root              773   0.0  0.0  2469936    244   ??  Ss   10:30AM   0:00.01 /System/Library/PrivateFrameworks/InstallerDiagnostics.framework/Versions/A/Resources/installerdiagd\n",
      "root              766   0.0  0.0  2469460    696   ??  S    10:27AM   0:00.56 /usr/sbin/distnoted agent\n",
      "root              764   0.0  0.0  2496892   1568   ??  S    10:27AM   0:00.12 /usr/libexec/secinitd\n",
      "root              763   0.0  0.1  2499676   5964   ??  S    10:27AM   0:00.69 /System/Library/PrivateFrameworks/GeoServices.framework/Versions/A/XPCServices/com.apple.geod.xpc/Contents/MacOS/com.apple.geod\n",
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      "mauricio          737   0.0  0.0  2462668    332   ??  S    10:26AM   0:00.13 /System/Library/Frameworks/CoreServices.framework/Frameworks/Metadata.framework/Versions/A/Support/mdflagwriter\n",
      "mauricio          735   0.0  0.0  2499076   2988   ??  Ss   10:26AM   0:00.44 /System/Library/PrivateFrameworks/PhotoLibraryPrivate.framework/Versions/A/Frameworks/PhotoLibraryServices.framework/Versions/A/XPCServices/com.apple.photomoments.xpc/Contents/MacOS/com.apple.photomoments\n",
      "_spotlight        730   0.0  0.0  2501296    700   ??  S    10:26AM   0:00.17 /System/Library/Frameworks/CoreServices.framework/Frameworks/Metadata.framework/Versions/A/Support/mdworker -s mdworker-sizing -c MDSSizingWorker -m com.apple.mdworker.sizing\n",
      "mauricio          729   0.0  0.0  2502332   1444   ??  S    10:26AM   0:00.69 /System/Library/Frameworks/CoreServices.framework/Frameworks/Metadata.framework/Versions/A/Support/mdworker -s mdworker-sizing -c MDSSizingWorker -m com.apple.mdworker.sizing\n",
      "root              727   0.0  0.0  2454476    316   ??  S    10:26AM   0:00.02 /System/Library/Frameworks/CoreServices.framework/Frameworks/Metadata.framework/Versions/A/Support/mdflagwriter\n",
      "mauricio          724   0.0  0.0  2474668   3216   ??  Ss   10:26AM   0:00.17 /Library/Frameworks/iTunesLibrary.framework/Versions/A/XPCServices/com.apple.iTunesLibraryService.xpc/Contents/MacOS/com.apple.iTunesLibraryService\n",
      "mauricio          720   0.0  0.0  2469464    152   ??  Ss   10:26AM   0:00.02 /System/Library/PrivateFrameworks/IMFoundation.framework/XPCServices/IMRemoteURLConnectionAgent.xpc/Contents/MacOS/IMRemoteURLConnectionAgent\n",
      "mauricio          719   0.0  0.0  2495740    780   ??  S    10:26AM   0:00.04 /System/Library/PrivateFrameworks/CharacterPicker.framework/Versions/A/XPCServices/com.apple.CharacterPicker.FileService.xpc/Contents/MacOS/com.apple.CharacterPicker.FileService\n",
      "mauricio          718   0.0  0.0  2496188   1892   ??  Ss   10:26AM   0:00.18 /System/Library/PrivateFrameworks/IMFoundation.framework/XPCServices/IMRemoteURLConnectionAgent.xpc/Contents/MacOS/IMRemoteURLConnectionAgent\n",
      "mauricio          716   0.0  0.0  2469448   1056   ??  S    10:26AM   0:00.04 /System/Library/PrivateFrameworks/MediaRemote.framework/Support/mediaremoteagent\n",
      "mauricio          715   0.0  0.0  2496188   1952   ??  Ss   10:26AM   0:00.19 /System/Library/PrivateFrameworks/IMFoundation.framework/XPCServices/IMRemoteURLConnectionAgent.xpc/Contents/MacOS/IMRemoteURLConnectionAgent\n",
      "mauricio          701   0.0  0.1  2521032   5160   ??  S    10:26AM   0:00.68 /System/Library/PrivateFrameworks/CommerceKit.framework/Resources/LaterAgent.app/Contents/MacOS/LaterAgent\n",
      "mauricio          687   0.0  0.0   475516    640   ??  S    10:26AM   0:04.30 /Library/DropboxHelperTools/Dropbox_u501/dbfseventsd\n",
      "root              684   0.0  0.1   475516   4928   ??  S    10:26AM   0:05.08 /Library/DropboxHelperTools/Dropbox_u501/dbfseventsd\n",
      "root              683   0.0  0.0   466300   1520   ??  S    10:26AM   0:01.38 /Library/DropboxHelperTools/Dropbox_u501/dbfseventsd\n",
      "root              680   0.0  0.0  2469716    228   ??  Ss   10:26AM   0:00.02 /usr/libexec/smd\n",
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      "root              632   0.0  0.0  2470188   1332   ??  Ss   10:26AM   0:00.05 /System/Library/PrivateFrameworks/SoftwareUpdate.framework/Resources/suhelperd\n",
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      "mauricio          545   0.0  0.0  2517852   3872   ??  S    10:26AM   0:00.74 /System/Library/CoreServices/FolderActionsDispatcher.app/Contents/MacOS/FolderActionsDispatcher\n",
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      "mauricio          542   0.0  0.0  2495136   2644   ??  S    10:26AM   0:00.10 /System/Library/Frameworks/Security.framework/Versions/A/Resources/KeychainSyncingOverIDSProxy.bundle/Contents/MacOS/KeychainSyncingOverIDSProxy\n",
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      "mauricio          531   0.0  0.0  2474668   1176   ??  Ss   10:26AM   0:00.12 /Library/Frameworks/iTunesLibrary.framework/Versions/A/XPCServices/com.apple.iTunesLibraryService.xpc/Contents/MacOS/com.apple.iTunesLibraryService\n",
      "mauricio          528   0.0  0.1  2496744   7180   ??  Ss   10:26AM   0:01.89 /System/Library/PrivateFrameworks/CoreWLANKit.framework/Versions/A/XPCServices/WiFiProxy.xpc/Contents/MacOS/WiFiProxy\n",
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      "root              468   0.0  0.0  2500648   3428   ??  Ss   10:26AM   0:00.10 /System/Library/PrivateFrameworks/PackageKit.framework/Resources/installd\n",
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      "root              444   0.0  0.1  2497248   5064   ??  Ss   10:26AM   0:00.19 /usr/libexec/taskgated -s\n",
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      "mauricio          440   0.0  0.1  2509424  11508   ??  S    10:26AM   0:01.97 /System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/MacOS/identityservicesd\n",
      "root              439   0.0  0.0  2496424   2592   ??  Ss   10:26AM   0:00.32 /usr/sbin/WirelessRadioManagerd\n",
      "mauricio          438   0.0  0.0  2423368     16   ??  T    10:26AM   0:00.00 /Applications/Adobe Acrobat Reader DC.app/Contents/MacOS/AdobeReader -psn_0_53261\n",
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      "root              414   0.0  0.0  2471984   1108   ??  Ss   10:26AM   0:00.88 /usr/sbin/racoon -D\n",
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      "root              410   0.0  0.0  2496072   3284   ??  Ss   10:25AM   1:16.81 /System/Library/PrivateFrameworks/AmbientDisplay.framework/Versions/A/XPCServices/com.apple.AmbientDisplayAgent.xpc/Contents/MacOS/com.apple.AmbientDisplayAgent\n",
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      "root              399   0.0  0.0  2495188   3256   ??  Ss   10:25AM   0:00.15 /System/Library/CoreServices/sharedfilelistd --enable-legacy-services\n",
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      "root              395   0.0  0.0  2469984   1120   ??  Ss   10:25AM   0:00.03 /System/Library/PrivateFrameworks/AccountPolicy.framework/XPCServices/com.apple.AccountPolicyHelper.xpc/Contents/MacOS/com.apple.AccountPolicyHelper\n",
      "root              394   0.0  0.0  2497864   4000   ??  Ss   10:25AM   0:00.13 /System/Library/PrivateFrameworks/TCC.framework/Resources/tccd system\n",
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      "root              349   0.0  0.0  2469660    616   ??  Ss   10:25AM   0:00.03 /System/Library/CryptoTokenKit/com.apple.ifdreader.slotd/Contents/MacOS/com.apple.ifdreader\n",
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      "root              230   0.0  0.0  2498300   4100   ??  Ss   10:25AM   0:00.38 /usr/libexec/awacsd\n",
      "root              229   0.0  0.0  2495992   2040   ??  Ss   10:25AM   0:00.22 /System/Library/PrivateFrameworks/WirelessDiagnostics.framework/Support/awdd\n",
      "root              228   0.0  0.0  2496004    848   ??  Ss   10:25AM   0:00.79 /usr/sbin/mDNSResponderHelper\n",
      "_mdnsresponder    227   0.0  0.1  2498692   6136   ??  Ss   10:25AM   0:15.76 /usr/sbin/mDNSResponder\n",
      "root              208   0.0  0.1  2496156   5204   ??  Ss   10:25AM   0:01.61 /usr/libexec/sandboxd\n",
      "_ctkd             192   0.0  0.0  2471376    260   ??  Ss   10:25AM   0:00.03 /System/Library/Frameworks/CryptoTokenKit.framework/ctkd -s\n",
      "root              191   0.0  0.1  2499548   4636   ??  Ss   10:25AM   0:03.25 /usr/libexec/trustd\n",
      "root              188   0.0  0.0  2470180    268   ??  Ss   10:25AM   0:00.03 /System/Library/Frameworks/PCSC.framework/Versions/A/XPCServices/com.apple.ctkpcscd.xpc/Contents/MacOS/com.apple.ctkpcscd\n",
      "root              182   0.0  0.0  2498104   2704   ??  Ss   10:25AM   0:00.35 /System/Library/Frameworks/Security.framework/Versions/A/XPCServices/authd.xpc/Contents/MacOS/authd\n",
      "root              181   0.0  0.0  2469980   1208   ??  Ss   10:25AM   0:00.04 aslmanager\n",
      "root              180   0.0  0.1  2502680   5308   ??  Ss   10:25AM   0:00.74 /System/Library/CoreServices/coreservicesd\n",
      "root              145   0.0  0.0  2470080   3364   ??  Ss   10:25AM   0:03.66 /usr/sbin/cfprefsd daemon\n",
      "_distnote         142   0.0  0.0  2469460   1504   ??  Ss   10:25AM   0:05.21 /usr/sbin/distnoted daemon\n",
      "root              139   0.0  0.1  2498868   5764   ??  Ss   10:25AM   0:01.38 /usr/libexec/amfid\n",
      "root              138   0.0  0.0  2470276   1796   ??  Ss   10:25AM   0:04.09 /usr/sbin/notifyd\n",
      "root              137   0.0  0.0  2496768   3940   ??  Ss   10:25AM   0:01.18 /usr/libexec/AirPlayXPCHelper\n",
      "root              136   0.0  0.0  2498372   2752   ??  Ss   10:25AM   0:00.20 /usr/libexec/corebrightnessd --launchd\n",
      "_hidd             135   0.0  0.1  2472676   5236   ??  Ss   10:25AM   5:31.19 /usr/libexec/hidd\n",
      "root              133   0.0  0.0  2461516    172   ??  Ss   10:25AM   0:00.01 /usr/sbin/KernelEventAgent\n",
      "root              132   0.0  0.0  2469488    944   ??  Ss   10:25AM   0:00.05 /System/Library/CoreServices/logind\n",
      "mauricio          131   0.0  0.4  2605256  37580   ??  Ss   10:25AM   0:11.51 /System/Library/CoreServices/loginwindow.app/Contents/MacOS/loginwindow console\n",
      "root              130   0.0  0.4  2531444  30432   ??  Ss   10:25AM   0:00.92 /System/Library/PrivateFrameworks/GenerationalStorage.framework/Versions/A/Support/revisiond\n",
      "root              128   0.0  0.0  2496976   1120   ??  Ss   10:25AM   0:00.18 /System/Library/PrivateFrameworks/Heimdal.framework/Helpers/kdc\n",
      "root              125   0.0  0.1  2496884   5568   ??  Ss   10:25AM   0:12.92 /usr/sbin/blued\n",
      "root              124   0.0  0.0  2469936    476   ??  Ss   10:25AM   0:00.02 autofsd\n",
      "root              123   0.0  0.1  2499628   4952   ??  Ss   10:25AM   0:01.57 /usr/libexec/DuetHeuristic-BM\n",
      "_locationd        119   0.0  0.1  2508444  10932   ??  Ss   10:25AM   0:07.02 /usr/libexec/locationd\n",
      "root              117   0.0  0.1  2497760   5620   ??  Ss   10:25AM   0:02.27 /usr/sbin/securityd -i\n",
      "_usbmuxd          116   0.0  0.0  2495412   1328   ??  Ss   10:25AM   0:00.16 /System/Library/PrivateFrameworks/MobileDevice.framework/Versions/A/Resources/usbmuxd -launchd\n",
      "root              115   0.0  0.1  2498340   6908   ??  Ss   10:25AM   0:04.86 /System/Library/CoreServices/launchservicesd\n",
      "root              114   0.0  0.0  2496152   1272   ??  Ss   10:25AM   0:00.12 /System/Library/PrivateFrameworks/Noticeboard.framework/Versions/A/Resources/nbstated\n",
      "root              113   0.0  0.0  2460800    176   ??  Ss   10:25AM   0:00.02 /Library/PrivilegedHelperTools/com.docker.vmnetd\n",
      "root              112   0.0  0.1  2500524   8480   ??  Ss   10:25AM   0:03.67 /System/Library/PrivateFrameworks/ApplePushService.framework/apsd\n",
      "root              110   0.0  0.0  2496236   2508   ??  Ss   10:25AM   0:02.27 /usr/sbin/wirelessproxd\n",
      "root              102   0.0  0.0  2471244    152   ??  Ss   10:25AM   0:00.04 /usr/libexec/wdhelper\n",
      "root              101   0.0  0.1  2517460   9404   ??  Ss   10:25AM   0:04.44 /usr/libexec/coreduetd\n",
      "root               99   0.0  0.0  2494868   1752   ??  Ss   10:25AM   0:00.27 /usr/libexec/diskarbitrationd\n",
      "root               97   0.0  0.0  2471116    232   ??  Ss   10:25AM   0:00.02 /System/Library/CoreServices/iconservicesagent\n",
      "_iconservices      96   0.0  0.0  2471116   1536   ??  Ss   10:25AM   0:00.04 /System/Library/CoreServices/iconservicesd\n",
      "root               90   0.0  0.0  2500120   2400   ??  SNs  10:25AM   0:00.57 /usr/libexec/warmd\n",
      "root               88   0.0  0.5  2530432  41168   ??  Ss   10:25AM   0:42.50 /usr/libexec/airportd\n",
      "root               84   0.0  0.2  2541324  15876   ??  Ss   10:25AM   0:07.71 /usr/libexec/logd\n",
      "root               79   0.0  0.1  2501228   6296   ??  Ss   10:25AM   0:00.80 /usr/libexec/mobileassetd\n",
      "root               78   0.0  0.0  2495072   2808   ??  Ss   10:25AM   0:01.81 /System/Library/CoreServices/powerd.bundle/powerd\n",
      "root               77   0.0  0.1  2501772   9068   ??  Ss   10:25AM   0:05.79 /usr/libexec/configd\n",
      "_appleevents       76   0.0  0.1  2498492   4640   ??  Ss   10:25AM   0:00.33 /System/Library/CoreServices/appleeventsd --server\n",
      "root               72   0.0  0.0  2496504   3880   ??  Ss   10:25AM   0:00.38 /System/Library/PrivateFrameworks/MediaRemote.framework/Support/mediaremoted\n",
      "root               70   0.0  0.1  2476836   4304   ??  Ss   10:25AM   0:08.69 /System/Library/Frameworks/CoreServices.framework/Versions/A/Frameworks/FSEvents.framework/Versions/A/Support/fseventsd\n",
      "root               69   0.0  0.1  2503996   9780   ??  Ss   10:25AM   0:02.68 /usr/libexec/kextd\n",
      "root               68   0.0  0.0  2469392    552   ??  Ss   10:25AM   0:00.94 /System/Library/PrivateFrameworks/Uninstall.framework/Resources/uninstalld\n",
      "root               66   0.0  0.1  2503136   9356   ??  Ss   10:25AM   0:05.12 /usr/libexec/UserEventAgent (System)\n",
      "root               65   0.0  0.0  2470328    868   ??  Ss   10:25AM   0:01.09 /usr/sbin/syslogd\n",
      "root             1852   0.0  0.0  2433160    984   ??  R     4:37PM   0:00.00 ps aux\n",
      "root                1   0.0  0.1  2491524  11492   ??  Ss   10:25AM   0:21.29 /sbin/launchd\n",
      "mauricio         1850   0.0  0.0  2435440   1092   ??  S     4:37PM   0:00.01 bash\n",
      "mauricio         1848   0.0  2.5  4050108 208296   ??  Rs    4:36PM   0:09.91 /System/Library/StagedFrameworks/Safari/WebKit.framework/Versions/A/XPCServices/com.apple.WebKit.WebContent.xpc/Contents/MacOS/com.apple.WebKit.WebContent\n",
      "mauricio         1846   0.0  1.3  3910684 105348   ??  Ss    4:36PM   0:01.26 /System/Library/StagedFrameworks/Safari/WebKit.framework/Versions/A/XPCServices/com.apple.WebKit.WebContent.xpc/Contents/MacOS/com.apple.WebKit.WebContent\n",
      "mauricio         1830   0.0  0.1  2476096   8676   ??  S     4:35PM   0:00.06 /System/Library/Frameworks/CoreServices.framework/Frameworks/Metadata.framework/Versions/A/Support/mdworker -s mdworker -c MDSImporterWorker -m com.apple.mdworker.single\n",
      "mauricio         1804   0.0  0.1  3015672   9760   ??  S     4:34PM   0:00.11 /System/Library/Frameworks/QuickLook.framework/Resources/quicklookd.app/Contents/MacOS/quicklookd\n",
      "mauricio         1802   0.0  0.1  2476080   6240   ??  S     4:33PM   0:00.06 /System/Library/Frameworks/CoreServices.framework/Frameworks/Metadata.framework/Versions/A/Support/mdworker -s mdworker-lsb -c MDSImporterWorker -m com.apple.mdworker.lsb\n",
      "mauricio         1801   0.0  0.1  2476080   6264   ??  S     4:33PM   0:00.06 /System/Library/Frameworks/CoreServices.framework/Frameworks/Metadata.framework/Versions/A/Support/mdworker -s mdworker-lsb -c MDSImporterWorker -m com.apple.mdworker.lsb\n",
      "mauricio         1798   0.0  0.1  2496576   7608   ??  S     4:33PM   0:00.12 /System/Library/PrivateFrameworks/AOSKit.framework/Versions/A/XPCServices/com.apple.iCloudHelper.xpc/Contents/MacOS/com.apple.iCloudHelper\n"
     ]
    }
   ],
   "source": [
    "%%bash\n",
    "ls \n",
    "ps aux"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 6) NumPy\n",
    "<!--\n",
    "import numpy as np\n",
    "np.array([1.2, 1.3, 1.6])\n",
    "\n",
    "#Python Lists implementation\n",
    "def norm_square_list(vector):\n",
    "    norm = 0\n",
    "    for v in vector:\n",
    "        norm += v*v\n",
    "    return norm\n",
    "\n",
    "#Vectorized NumPy implementation\n",
    "def norm_square_numpy(vector):\n",
    "    return np.sum(vector * vector)\n",
    "\n",
    "#Vector to use - dimension 10^6\n",
    "vector = list(range(1000000))\n",
    "npvector = np.array(vector)\n",
    "\n",
    "# Arrays of zeros: np.zeros(shape)\n",
    "print(\"Zeros:\")\n",
    "print( np.zeros((3,3)) )\n",
    "\n",
    "# Arrays of ones: np.ones(shape)\n",
    "print(\"\\nOnes:\")\n",
    "print( np.ones((3,3)) )\n",
    "\n",
    "# Empty array: np.empty(shape)\n",
    "print(\"\\nEmpty:\")\n",
    "print( np.empty((3,3)) )\n",
    "\n",
    "# Range of values: np.range(start, stop, step)\n",
    "print(\"\\nRange:\")\n",
    "print( np.arange(0., 10., 1.) )\n",
    "\n",
    "# Regular grid: np.linspace(start, end, n_values)\n",
    "print(\"\\nRegular grid:\")\n",
    "print( np.linspace(0., 1., 9) )\n",
    "\n",
    "# Array constructor: np.array( python_iterable )\n",
    "print(\"\\nArray constructor\")\n",
    "print( np.array([2, 3, 5, 10, -1]) )\n",
    "\n",
    "\n",
    "-->"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Zeros:\n",
      "[[ 0.  0.  0.]\n",
      " [ 0.  0.  0.]\n",
      " [ 0.  0.  0.]]\n",
      "\n",
      "Ones:\n",
      "[[ 1.  1.  1.]\n",
      " [ 1.  1.  1.]\n",
      " [ 1.  1.  1.]]\n",
      "\n",
      "Empty:\n",
      "[[ 1.  1.  1.]\n",
      " [ 1.  1.  1.]\n",
      " [ 1.  1.  1.]]\n",
      "\n",
      "Range:\n",
      "[ 0.  1.  2.  3.  4.  5.  6.  7.  8.  9.]\n",
      "\n",
      "Regular grid:\n",
      "[ 0.     0.125  0.25   0.375  0.5    0.625  0.75   0.875  1.   ]\n",
      "\n",
      "Array constructor\n",
      "[ 2  3  5 10 -1]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "np.array([1.2, 1.3, 1.6])\n",
    "\n",
    "#Python Lists implementation\n",
    "def norm_square_list(vector):\n",
    "    norm = 0\n",
    "    for v in vector:\n",
    "        norm += v*v\n",
    "    return norm\n",
    "\n",
    "#Vectorized NumPy implementation\n",
    "def norm_square_numpy(vector):\n",
    "    return np.sum(vector * vector)\n",
    "\n",
    "#Vector to use - dimension 10^6\n",
    "vector = list(range(1000000))\n",
    "npvector = np.array(vector)\n",
    "\n",
    "# Arrays of zeros: np.zeros(shape)\n",
    "print(\"Zeros:\")\n",
    "print( np.zeros((3,3)) )\n",
    "\n",
    "# Arrays of ones: np.ones(shape)\n",
    "print(\"\\nOnes:\")\n",
    "print( np.ones((3,3)) )\n",
    "\n",
    "# Empty array: np.empty(shape)\n",
    "print(\"\\nEmpty:\")\n",
    "print( np.empty((3,3)) )\n",
    "\n",
    "# Range of values: np.range(start, stop, step)\n",
    "print(\"\\nRange:\")\n",
    "print( np.arange(0., 10., 1.) )\n",
    "\n",
    "# Regular grid: np.linspace(start, end, n_values)\n",
    "print(\"\\nRegular grid:\")\n",
    "print( np.linspace(0., 1., 9) )\n",
    "\n",
    "# Array constructor: np.array( python_iterable )\n",
    "print(\"\\nArray constructor\")\n",
    "print( np.array([2, 3, 5, 10, -1]) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def norm_square_list(vector):\n",
    "    norm = 0\n",
    "    for v in vector:\n",
    "        norm += v*v\n",
    "    return norm\n",
    "\n",
    "#Vectorized NumPy implementation\n",
    "def norm_square_numpy(vector):\n",
    "    return np.sum(vector * vector)\n",
    "\n",
    "#Vector to use - dimension 10^6\n",
    "vector = list(range(1000000))\n",
    "npvector = np.array(vector)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "97.7 ms ± 3.09 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
     ]
    }
   ],
   "source": [
    "%timeit norm_square_list(vector)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5.73 ms ± 2.71 ms per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
     ]
    }
   ],
   "source": [
    "%timeit norm_square_numpy(npvector)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 7) SciPy\n",
    "<!--\n",
    "import scipy as sp\n",
    "import scipy.integrate as integrate\n",
    "\n",
    "def f(x):\n",
    "    return x**3\n",
    "\n",
    "ans, err = integrate.quad(f,0,np.pi)\n",
    "print(ans,' +-',err)\n",
    "\n",
    "def f(y, t):\n",
    "    return y**2 * np.sin(y)\n",
    "\n",
    "ic = 1.\n",
    "times = np.linspace(0., 10., 100)\n",
    "sol = integrate.odeint(f, ic, time)\n",
    "\n",
    "-->"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24.35227275850061  +- 2.7036453918439354e-13\n"
     ]
    }
   ],
   "source": [
    "import scipy as sp\n",
    "import scipy.integrate as integrate\n",
    "\n",
    "def f(x):\n",
    "    return x**3\n",
    "\n",
    "ans, err = integrate.quad(f,0,np.pi)\n",
    "print(ans,' +-',err)\n",
    "\n",
    "def f(y, t):\n",
    "    return y**2 * np.sin(y)\n",
    "\n",
    "ic = 1.\n",
    "times = np.linspace(0., 10., 100)\n",
    "sol = integrate.odeint(f, ic, times)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 8) MatplotLib\n",
    "<!--\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "%matplotlib --list\n",
    "\n",
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(times, sol, 'ro-')\n",
    "plt.title('ODE evolution')\n",
    "plt.show()\n",
    "\n",
    "x = np.arange(0, 2*np.pi, 0.1)\n",
    "y = np.sin(x)\n",
    "z = np.cos(x)\n",
    "plt.plot(x,y)\n",
    "plt.plot(x,z)\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(15,5))\n",
    "plt.plot(x, y, 'o--', lw=4, color='green', mfc='red', ms=7)\n",
    "plt.title(\"Example plot\")\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(\"y(x)\")\n",
    "plt.grid()\n",
    "plt.show()\n",
    "\n",
    "x = np.random.randn(100)\n",
    "y = np.random.randn(100)\n",
    "\n",
    "plt.scatter(x, y, marker='o', s=25)\n",
    "plt.grid()\n",
    "plt.xlabel('x coordinate')\n",
    "plt.ylabel('y coordinate')\n",
    "plt.title('Scatter plot')\n",
    "plt.xlim(-3,3)\n",
    "plt.ylim(-3,3)\n",
    "plt.show()\n",
    "\n",
    "n_samples = 25000\n",
    "#x = np.random.rand(n_samples)\n",
    "x = np.random.randn(n_samples)\n",
    "\n",
    "plt.figure(figsize=(6,6))\n",
    "plt.hist(x, bins=50, facecolor='seagreen', edgecolor='black', lw=2)\n",
    "plt.title(\"Empirical Standard Distribution\")\n",
    "plt.xlabel(\"x random variable\")\n",
    "plt.ylabel(\"frequency\")\n",
    "plt.show()\n",
    "\n",
    "#imshow()\n",
    "\n",
    "-->"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Available matplotlib backends: ['tk', 'gtk', 'gtk3', 'wx', 'qt', 'qt4', 'qt5', 'osx', 'nbagg', 'notebook', 'agg', 'inline', 'ipympl']\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x112cbc208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1SlSVGS0MBRzJyOLjP7ZxcbtatKpdxe44ZSu0CvQYC0kzYOcyu9M4QmCAi7F9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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x151f053b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BwGZrbY619mdgIRB3nNeOAj6y1uZXJocfAaMbKE5pIBt/3MigVwfVShI7B3Um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\nm/ZvIqZdTK0ZSBHxj8WbFzN07lB2F++uvlYaCsO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1AJxlp1XW6r9h7wa27dhA2ttoT+Mx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\nURQREREREREPShRFRERERETEw/8Ds4HROVQPh8UAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x151f1a9828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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M5x7aMmX5/3rdMVzSv6xmC+KCd57OHbffVnPbooyxHarF+4GTChy/PJ3xRiHM\n32YniC0huPvr4nrttGtkbp7yvnYYj7Q2PosTozU6E2aUM2dO1LhGojBRLPVsdmC3HbN7RjkQ3+z4\nj2SfJreLQSMHgPKDzHOPbiieNUZw4M7qxGiNHnSjrL7pqvMe5T83OrAbd4VQ1APxzY7/SPYlkhDM\n7I+Aq4Be4HtmtsHdX59ELHFo5qC2evkiBoYPiqxJntRAZhStkkYPulFV35x41CHMntnF7v1lF3/N\n7OKEow5p6XUh3gqhOAbiK+MdGG6qwlwyJqkqo+8A30nivdsl6el9k5jILautkpL+voWcsvSwzF38\n1ehnXW39sX0FHn7yN6oi6nDqMsqpJG5TmLXyykpZm9qipNHPeuXi+cyqaAkB/L+Hn+bCs5alfnsl\nPqEmt5PsSWIitzzcPL0ds65GrdHPur9vIce87OApy7c+P6bZUzucWgg5lcTZrm6enoxmxqzOOeEI\nhp4emVQaneZ7Q0h7KCHkWLvHMXTz9OQ0+lmfeNQhSt4yhRKCRCarffCdSMlbqlFCkEi1o1WSxQvu\n0kbJW6pRQpBMyXppa5okXRot6aMqI8mUsPdzFpHGKSFIpuShtFUkrZQQJFNKpa3lVB0jEg0lBMmU\nJC64E+kUGlSWTFF1jEh8lBAkc1QdI0nohHJnJQSRnOuEA1ncOqXcWQlBJMc65UAWt6zP5BuWBpVF\nckzXbUSjU8qdlRBEcqxTDmRx65RyZyUEkRzrlANZ3Dql3FljCCI5pllNo9Ep5c5KCCI51ikHsnbo\nhHJnJQSRnOuEA5lEQ2MIIiICKCGIiEhACUFERAAlBBERCSghiIgIoIQgIiKBRBKCmX3KzB4xs4fM\n7DtmdmgScYiIyEuSaiH8CDjB3U8CNgMfSigOEREJJJIQ3P1Wdx8PHt4DHJ1EHCIi8pI0jCG8F/hB\n0kGIiHQ6c/d4Xtjsx8ARVX51ubv/Z7DO5cBpwNu8RiBmtgZYA9Db23vq2rVrY4k3DUZHR5k7d27S\nYcQma9s3smec3fsLzJ7ZzbxZ9Wd5aWbbGnn9pGXts2tU3rdv1apV6939tOnWiy0hTPvGZu8GLgBW\nu/tYmOf09fX50NBQvIElaGBggP7+/qTDiE1Wtq+Zu4w1sm1ZvItZVj67ZuV9+8wsVEJIqsroHOCD\nwFvCJgORdon7LmNpvotZYcJZNzjMleu2sG5wmMJEMieMkoyk2qmfBw4CfmRmAPe4+wUJxSIySb27\njEUxY2iHQEfFAAAH+klEQVTcr9+sei0X6QyJJAR3f0US7ysSRukuY2NlB+0o7zIW9+s3q96N5Lun\nea7kQxqqjERSJe7bJab1doy6/7Kku7RBJAFx32UsrXcxq9tyGX4ywcikXZQQRKqI+y5jabyLWb37\nL98xPJh0eNIGSggiAqS35SLto4QgIgekseUi7aNBZRERAZQQREQkoIQgIiKAEoKIiASUEEREBFBC\nEBGRgBKCiIgASggiIhJQQhAREUAJQUREAkoIIiICKCGIiEhACUFERAAlBBERCSghiIgIoIQgIiIB\nJQQREQF0xzSRhhQmnIGhHWzcvouVusWk5IwSgkhIhQnnvGvunXIT+uvfd3rSoYlEQl1GIiENDO1g\nw7adjO0r4MDYvgIbtu1kYGhH0qGJREIJQSSkjdt3sXtfYdKy3fsKbNq+K6GIRKKlhCAS0srF85nd\n0z1p2eyeblYsnp9QRCLRUkIQCam/byEnLzmUOT3dGDAnGEPo71uYdGgikUhkUNnMPg68FZgAdgDn\nu/v2JGIRCau7y7j+faczMLSDTdt3sUJVRpIzSVUZfcrd/wHAzC4GPgxckFAsIqF1dxmrly9i9fJF\nSYciErlEuozcvXwU7mDAk4hDRERekth1CGb2CeBdwG+AVXXWWwOsCR7uNbOH2xBeUg4Hnk06iBjl\nefvyvG2g7cu6vjArmXs8J+dm9mPgiCq/utzd/7NsvQ8Bs9z9IyFe8xfuflqEYaaKti+78rxtoO3L\nurDbF1sLwd1fF3LVbwLfA6ZNCCIiEp9ExhDMbFnZw7cAjyQRh4iIvCSpMYR/NrM+imWnWwlfYXR1\nfCGlgrYvu/K8baDty7pQ2xfbGIKIiGSLrlQWERFACUFERAKZSwhm9nEze8jMNpjZrWa2OOmYomJm\nnzKzR4Lt+46ZHZp0TFEys3eY2UYzmzCz3JT4mdk5ZjZkZo+a2d8mHU+UzOxaM9uR1+t/zGyJmf3U\nzAaDv81Lko4pKmY2y8x+bmYPBtv20Wmfk7UxBDObX7rSOZj2YoW752LaCzP7b8BP3H3czD4J4O4f\nTDisyJjZcoqFBF8C3u/uv0g4pJaZWTewGTgbeAK4DzjX3TclGlhEzOz3gVHga+5+QtLxRM3MjgSO\ndPf7zWwesB7473n4/MzMgIPdfdTMZgJ3Ape4+z21npO5FkKep71w91vdfTx4eA9wdJLxRM3dB919\nKOk4IvZq4FF3/7W77wP+jeLEjbng7rcDzycdR1zc/Sl3vz/4eQQYBI5KNqpoeNFo8HBm8K/u8TJz\nCQGK016Y2TbgTylOjJdH7wV+kHQQMq2jgG1lj58gJweUTmNmLwdOAe5NNpLomFm3mW2gOKv0j9y9\n7ralMiGY2Y/N7OEq/94K4O6Xu/sS4BvAhclG25jpti1Y53JgnOL2ZUqY7cuZanNf56bV2inMbC5w\nI/DXFb0QmebuBXc/mWJvw6vNrG63X2KT29WT52kvpts2M3s38CZgtWdtgIeGPru8eAJYUvb4aED3\n9siQoH/9RuAb7v7tpOOJg7vvNLMB4BygZoFAKlsI9eR52gszOwf4IPAWdx9LOh4J5T5gmZkda2Y9\nwDuBmxKOSUIKBl6vAQbd/TNJxxMlM+stVSqa2WzgdUxzvMxildGNFKdyPTDthbs/mWxU0TCzR4GD\ngOeCRffkpYIKwMz+CLgK6AV2Ahvc/fXJRtU6M3sj8DmgG7jW3T+RcEiRMbMbgH6K00MPAx9x92sS\nDSpCZnYGcAfwS4rHFIC/c/fvJxdVNMzsJOCrFP8uu4C17v6xus/JWkIQEZF4ZK7LSERE4qGEICIi\ngBKCiIgElBBERARQQhARkYASgkgMzOy/zOzw4Oe7Wnid8/M0o6+kmxKCSIvMrO4V/+7+2hZe/nxA\nCUHaQglBcsPMXhXcS2KWmR0czAE/Ze4WM3tXsN6DZnZ9sOwYM1sXLF9nZkunWX6dmX3GzH4KfNLM\nXhbcn+MBM/sSZXMcmdlo8H+/mQ2Y2beC+158I7hSFjP7sJndF8z7dLUVvR04DfiGFe//MdvMTjWz\n28xsvZn9MJi+WSQa7q5/+pebf8A/Av8b+ALwoSq/XwkMAYcHjxcE/98MvDv4+b3Ad6dZfh1wC9Ad\nPL4S+HDw8x9SnOCu9B6jwf/9wG8oznfUBdwNnFEeR/Dz9cCbg58HgNOCn2cCdwG9weM/oXhldOL7\nXf/y8S+Vk9uJtOBjFOcX2gNcXOX3ZwHfcvdnAdy9NNf/a4C3BT9fD/zLNMsB/sPdC8HPv19az92/\nZ2Yv1Ijv5+7+BEAwLfHLKd64ZJWZ/Q0wB1gAbKSYjMr1AScAPwoaFt3AUzXeR6RhSgiSNwuAuRTP\npmcBL1b83gg3PXWtdcqXV752mNfdW/ZzAZhhZrOA/0uxJbDNzK6gGHslAza6+2tCvI9IwzSGIHlz\nNfAPFO8l8ckqv18H/LGZvQzAzBYEy++iOFMpFG+8dOc0yyvdHvweM3sDcFgDMZcO/s8G8/K/vex3\nI8C84OchoNfMXhO8z0wzW9nA+4jUpRaC5IaZvQsYd/dvWvFex3eZ2Vnu/pPSOu6+0cw+AdxmZgXg\nAYqVPBcD15rZB4BngPcET6m1vNJHgRvM7H7gNuDxsHF7ca76f6U44+Z/UezyKrkO+KKZ7abYffV2\n4EozO4Ti9/dzFLuXRFqm2U5FRARQl5GIiASUEEREBFBCEBGRgBKCiIgASggiIhJQQhAREUAJQURE\nAv8fcaZ/7/qm3JgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x151f15f588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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SNX1ebnBubmkYDjkiSerFxCFJ6sXEIUnqxcQhSerFxCFJ6sXEIUnqxcQhSerFxCFJ6sXE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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x151f0108d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "%matplotlib --list\n",
    "\n",
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(times, sol, 'ro-')\n",
    "plt.title('ODE evolution')\n",
    "plt.show()\n",
    "\n",
    "x = np.arange(0, 2*np.pi, 0.1)\n",
    "y = np.sin(x)\n",
    "z = np.cos(x)\n",
    "plt.plot(x,y)\n",
    "plt.plot(x,z)\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(15,5))\n",
    "plt.plot(x, y, 'o--', lw=4, color='green', mfc='red', ms=7)\n",
    "plt.title(\"Example plot\")\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(\"y(x)\")\n",
    "plt.grid()\n",
    "plt.show()\n",
    "\n",
    "x = np.random.randn(100)\n",
    "y = np.random.randn(100)\n",
    "\n",
    "plt.scatter(x, y, marker='o', s=25)\n",
    "plt.grid()\n",
    "plt.xlabel('x coordinate')\n",
    "plt.ylabel('y coordinate')\n",
    "plt.title('Scatter plot')\n",
    "plt.xlim(-3,3)\n",
    "plt.ylim(-3,3)\n",
    "plt.show()\n",
    "\n",
    "n_samples = 25000\n",
    "#x = np.random.rand(n_samples)\n",
    "x = np.random.randn(n_samples)\n",
    "\n",
    "plt.figure(figsize=(6,6))\n",
    "plt.hist(x, bins=50, facecolor='seagreen', edgecolor='black', lw=2)\n",
    "plt.title(\"Empirical Standard Distribution\")\n",
    "plt.xlabel(\"x random variable\")\n",
    "plt.ylabel(\"frequency\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 9) Interact\n",
    "<!--\n",
    "from ipywidgets import interact\n",
    "def f(x):\n",
    "    return x\n",
    "interact(f, x=True);\n",
    "interact(f, x='hi there!');\n",
    "interact(f, x=10);\n",
    "interact(f, x=(-50,50,2));\n",
    "interact(f, x=['orange', 'apple']);\n",
    "\n",
    "\n",
    "wget http://alumnos.inf.utfsm.cl/~mavillan/press/orion.npy\n",
    "\n",
    "-->"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "fe6c4c3eb1504064af871a6b7615e0bf",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "A Jupyter Widget"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "75d044a4351c49d1b00561cbdf950ad4",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "A Jupyter Widget"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f885c00f34f64c69a2d4351a8cf12fb1",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "A Jupyter Widget"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "3a3d7aa6b81d4373a05f19979e1ddffa",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "A Jupyter Widget"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ccf11a44d7ea4b0fb8d3c8b3cf46d1a1",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "A Jupyter Widget"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from ipywidgets import interact\n",
    "def f(x):\n",
    "    return x\n",
    "interact(f, x=True);\n",
    "interact(f, x='hi there!');\n",
    "interact(f, x=10);\n",
    "interact(f, x=(-50,50,2));\n",
    "interact(f, x=['orange', 'apple']);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 10) Others\n",
    "## Scikit-learn\n",
    "## Scikit-image\n",
    "## Cython\n",
    "## Numba\n",
    "## Pandas\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.6.2"
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