Skip to content

Instantly share code, notes, and snippets.

@BrianChevalier
Last active March 19, 2017 06:11
Show Gist options
  • Save BrianChevalier/81bf87c9498f78b37a43dd430101b463 to your computer and use it in GitHub Desktop.
Save BrianChevalier/81bf87c9498f78b37a43dd430101b463 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Plotting\n, hello"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEWCAYAAABxMXBSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1062832e8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAY4AAAEWCAYAAABxMXBSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMcYYv1jhMMYY45f/D+H71N9YYhsQAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1046b9780>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEWCAYAAAB42tAoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10fc43b70>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEWCAYAAAB42tAoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10fd8a400>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAEWCAYAAABmE+CbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\noIIgIiIBFQQREQFUEEREJPD/A+VMQO2xZTd/AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10fee65c0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"\n",
"#x\n",
"Conc = [10, 20, 30, 40, 50]\n",
"\n",
"#f(x)\n",
"FerricChlorideAC = [0.33, -0.59, -0.76, 1.53, 1.23]\n",
"AlumAC = [-0.967, -3, -6.17, -5.53, -14.8]\n",
"Alum = [4.9, -17.2, 3.5, 8.1, -4.2]\n",
"Alum2 = [6.36, 0.43, -1.13, -0.36, -0.63]\n",
"FerricChloride = [-4.67, -4.8, -5.4, -4, -5.13]\n",
"\n",
"\n",
"#Construct dataframe\n",
"Data = {'Ferric Chloride AC' : FerricChlorideAC, \n",
" 'Ferric Chloride' : FerricChloride,\n",
" 'Alum AC' : AlumAC,\n",
" 'Alum' : Alum,\n",
" 'Alum 2' : Alum2\n",
" }\n",
"\n",
"for item in Data:\n",
" plt.plot(Conc, Data[item])\n",
" plt.xlabel('Concentration (mg/L)')\n",
" plt.ylabel('Turbidity (NTU)')\n",
" plt.title(item)\n",
" plt.grid(True)\n",
" plt.savefig(\"/Users/BrianBadahdah/Documents/Photos\" +\n",
" \"/Screenshots/\"+item+\".jpg\", format='jpeg')\n",
" plt.show()\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEWCAYAAACJ0YulAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKQCwAFbqU4JRxCljAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10fc0f6a0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"Alum1pH = [8.54, 9.64, 9.34, 8.17, 8.27]\n",
"\n",
"Alum2pH = [8.816666667, 8.53, 8.326666667, 8.296666667, 8.133333333]\n",
"\n",
"\n",
"Alum1, = plt.plot(Conc, Alum1pH, label = 'Alum 1')\n",
"Alum2, = plt.plot(Conc, Alum2pH, label = 'Alum 2')\n",
"\n",
"\n",
"legend = plt.legend(handles=[Alum1, Alum2], loc=1)\n",
"\n",
"plt.xlabel('Concentration (mg/L)')\n",
"plt.ylabel('pH')\n",
"plt.title(\"pH Plot\")\n",
"plt.grid(True)\n",
"plt.savefig(\"/Users/BrianBadahdah/Documents/Photos\" +\n",
" \"/Screenshots/\"+\"pH\"+\".jpg\", format='jpeg')\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAD8CAYAAABw1c+bAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSikVYLTwK6VUgPl/Ln/0Y49SLIkAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1107426a0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"line1, = plt.plot([1,2,3], label=\"Line 1\", linestyle='--')\n",
"line2, = plt.plot([3,2,1], label=\"Line 2\", linewidth=4)\n",
"\n",
"# Create a legend for the first line.\n",
"first_legend = plt.legend(handles=[line1], loc=1)\n",
"\n",
"# Add the legend manually to the current Axes.\n",
"ax = plt.gca().add_artist(first_legend)\n",
"\n",
"# Create another legend for the second line.\n",
"plt.legend(handles=[line2], loc=4)\n",
"\n",
"plt.show()"
]
},
{
"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": "3.6.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Display the source blob
Display the rendered blob
Raw
Loading
Sorry, something went wrong. Reload?
Sorry, we cannot display this file.
Sorry, this file is invalid so it cannot be displayed.
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment