Matplotlib - Quick Guide (2024)

Matplotlib - Quick Guide (1)

'; var adpushup = adpushup || {}; adpushup.que = adpushup.que || []; adpushup.que.push(function() { adpushup.triggerAd(ad_id); });

Matplotlib is one of the most popular Python packages used for data visualization. It is a cross-platform library for making 2D plots from data in arrays. Matplotlib is written in Python and makes use of NumPy, the numerical mathematics extension of Python. It provides an object-oriented API that helps in embedding plots in applications using Python GUI toolkits such as PyQt, WxPythonotTkinter. It can be used in Python and IPython shells, Jupyter notebook and web application servers also.

Matplotlib has a procedural interface named the Pylab, which is designed to resemble MATLAB, a proprietary programming language developed by MathWorks. Matplotlib along with NumPy can be considered as the open source equivalent of MATLAB.

Matplotlib was originally written by John D. Hunter in 2003. The current stable version is 2.2.0 released in January 2018.

Matplotlib and its dependency packages are available in the form of wheel packages on the standard Python package repositories and can be installed on Windows, Linux as well as MacOS systems using the pip package manager.

pip3 install matplotlib

Incase Python 2.7 or 3.4 versions are not installed for all users, the Microsoft Visual C++ 2008 (64 bit or 32 bit forPython 2.7) or Microsoft Visual C++ 2010 (64 bit or 32 bit for Python 3.4) redistributable packages need to be installed.

If you are using Python 2.7 on a Mac, execute the following command −

xcode-select –install

Upon execution of the above command, the subprocess32 - a dependency, may be compiled.

On extremely old versions of Linux and Python 2.7, you may need to install the master version of subprocess32.

Matplotlib requires a large number of dependencies −

  • Python (>= 2.7 or >= 3.4)
  • NumPy
  • setuptools
  • dateutil
  • pyparsing
  • libpng
  • pytz
  • FreeType
  • cycler
  • six

Optionally, you can also install a number of packages to enable better user interface toolkits.

  • tk
  • PyQt4
  • PyQt5
  • pygtk
  • wxpython
  • pycairo
  • Tornado

For better support of animation output format and image file formats, LaTeX, etc., you can install the following −

  • _mpeg/avconv
  • ImageMagick
  • Pillow (>=2.0)
  • LaTeX and GhostScript (for rendering text with LaTeX).
  • LaTeX and GhostScript (for rendering text with LaTeX).

Anaconda is a free and open source distribution of the Python and R programming languages for large-scale data processing, predictive analytics, and scientific computing. The distribution makes package management and deployment simple and easy. Matplotlib and lots of other useful (data) science tools form part of the distribution. Package versions are managed by the package management system Conda. The advantage of Anaconda is that you have access to over 720 packages that can easily be installed with Anaconda's Conda, a package, dependency, and environment manager.

Anaconda distribution is available for installation at https://www.anaconda.com/download/. For installation on Windows, 32 and 64 bit binaries are available −

https://repo.continuum.io/archive/Anaconda3-5.1.0-Windows-x86.exe

https://repo.continuum.io/archive/Anaconda3-5.1.0-Windows-x86_64.exe

Installation is a fairly straightforward wizard based process. You can choose between adding Anaconda in PATH variable and registering Anaconda as your default Python.

For installation on Linux, download installers for 32 bit and 64 bit installers from the downloads page −

https://repo.continuum.io/archive/Anaconda3-5.1.0-Linux-x86.sh

https://repo.continuum.io/archive/Anaconda3-5.1.0-Linux-x86_64.sh

Now, run the following command from the Linux terminal −

$ bash Anaconda3-5.0.1-Linux-x86_64.sh

Canopy and ActiveState are the most sought after choices for Windows, macOS and common Linux platforms. The Windows users can find an option in WinPython.

Jupyter is a loose acronym meaning Julia, Python, and R. These programming languages were the first target languages of the Jupyter application, but nowadays, the notebook technology also supports many other languages.

In 2001, Fernando Pérez started developing Ipython. IPython is a command shell for interactive computing in multiple programming languages, originally developed for the Python.

Consider the following features provided by IPython −

  • Interactive shells (terminal and Qt-based).

  • A browser-based notebook with support for code, text, mathematical expressions, inline plots and other media.

  • Support for interactive data visualization and use of GUI toolkits.

  • Flexible, embeddable interpreters to load into one's own projects.

In 2014, Fernando Pérez announced a spin-off project from IPython called Project Jupyter. IPython will continue to exist as a Python shell and a kernel for Jupyter, while the notebook and other language-agnostic parts of IPython will move under the Jupyter name. Jupyter added support for Julia, R, Haskell and Ruby.

To start the Jupyter notebook, open Anaconda navigator (a desktop graphical user interface included in Anaconda that allows you to launch applications and easily manage Conda packages, environments and channels without the need to use command line commands).

Matplotlib - Quick Guide (2)

Navigator displays the installed components in the distribution.

Matplotlib - Quick Guide (3)

Launch Jupyter Notebook from the Navigator −

Matplotlib - Quick Guide (4)

You will see the application opening in the web browser on the following address − http://localhost:8888.

Matplotlib - Quick Guide (5)

You probably want to start by making a new notebook. You can easily do this by clicking on the "New button" in the "Files tab". You see that you have the option to make a regular text file, a folder, and a terminal. Lastly, you will also see the option to make a Python 3 notebook.

Matplotlib - Quick Guide (6)

A new untitled notebook with the .ipynbextension (stands for the IPython notebook) is displayed in the new tab of the browser.

Matplotlib - Quick Guide (7)

matplotlib.pyplot is a collection of command style functions that make Matplotlib work like MATLAB. Each Pyplot function makes some change to a figure. For example, a function creates a figure, a plotting area in a figure, plots some lines in a plotting area, decorates the plot with labels, etc.

Types of Plots

Sr.NoFunction & Description
1

Bar

Make a bar plot.

2

Barh

Make a horizontal bar plot.

3

Boxplot

Make a box and whisker plot.

4

Hist

Plot a histogram.

5

hist2d

Make a 2D histogram plot.

6

Pie

Plot a pie chart.

7

Plot

Plot lines and/or markers to the Axes.

8

Polar

Make a polar plot..

9

Scatter

Make a scatter plot of x vs y.

10

Stackplot

Draws a stacked area plot.

11

Stem

Create a stem plot.

12

Step

Make a step plot.

13

Quiver

Plot a 2-D field of arrows.

Image Functions

Sr.NoFunction & Description
1

Imread

Read an image from a file into an array.

2

Imsave

Save an array as in image file.

3

Imshow

Display an image on the axes.

Axis Functions

Sr.NoFunction & Description
1

Axes

Add axes to the figure.

2

Text

Add text to the axes.

3

Title

Set a title of the current axes.

4

Xlabel

Set the x axis label of the current axis.

5

Xlim

Get or set the x limits of the current axes.

6

Xscale

.

7

Xticks

Get or set the x-limits of the current tick locations and labels.

8

Ylabel

Set the y axis label of the current axis.

9

Ylim

Get or set the y-limits of the current axes.

10

Yscale

Set the scaling of the y-axis.

11

Yticks

Get or set the y-limits of the current tick locations and labels.

Figure Functions

Sr.NoFunction & Description
1

Figtext

Add text to figure.

2

Figure

Creates a new figure.

3

Show

Display a figure.

4

Savefig

Save the current figure.

5

Close

Close a figure window.

In this chapter, we will learn how to create a simple plot with Matplotlib.

We shall now display a simple line plot of angle in radians vs. its sine value in Matplotlib. To begin with, the Pyplot module from Matplotlib package is imported, with an alias plt as a matter of convention.

import matplotlib.pyplot as plt

Next we need an array of numbers to plot. Various array functions are defined in the NumPy library which is imported with the np alias.

import numpy as np

We now obtain the ndarray object of angles between 0 and 2π using the arange() function from the NumPy library.

x = np.arange(0, math.pi*2, 0.05)

The ndarray object serves as values on x axis of the graph. The corresponding sine values of angles in x to be displayed on y axis are obtained by the following statement −

y = np.sin(x)

The values from two arrays are plotted using the plot() function.

plt.plot(x,y)

You can set the plot title, and labels for x and y axes.

You can set the plot title, and labels for x and y axes.plt.xlabel("angle")plt.ylabel("sine")plt.title('sine wave')

The Plot viewer window is invoked by the show() function −

plt.show()

The complete program is as follows −

from matplotlib import pyplot as pltimport numpy as npimport math #needed for definition of pix = np.arange(0, math.pi*2, 0.05)y = np.sin(x)plt.plot(x,y)plt.xlabel("angle")plt.ylabel("sine")plt.title('sine wave')plt.show()

When the above line of code is executed, the following graph is displayed −

Matplotlib - Quick Guide (8)

Now, use the Jupyter notebook with Matplotlib.

Launch the Jupyter notebook from Anaconda navigator or command line as described earlier. In the input cell, enter import statements for Pyplot and NumPy −

from matplotlib import pyplot as pltimport numpy as np

To display plot outputs inside the notebook itself (and not in the separate viewer), enter the following magic statement −

%matplotlib inline

Obtain x as the ndarray object containing angles in radians between 0 to 2π, and y as sine value of each angle −

import mathx = np.arange(0, math.pi*2, 0.05)y = np.sin(x)

Set labels for x and y axes as well as the plot title −

plt.xlabel("angle")plt.ylabel("sine")plt.title('sine wave')

Finally execute the plot() function to generate the sine wave display in the notebook (no need to run the show() function) −

plt.plot(x,y)

After the execution of the final line of code, the following output is displayed −

Matplotlib - Quick Guide (9)

PyLab is a procedural interface to the Matplotlib object-oriented plotting library. Matplotlib is the whole package; matplotlib.pyplot is a module in Matplotlib; and PyLab is a module that gets installed alongside Matplotlib.

PyLab is a convenience module that bulk imports matplotlib.pyplot (for plotting) and NumPy (for Mathematics and working with arrays) in a single name space. Although many examples use PyLab, it is no longer recommended.

Basic Plotting

Plotting curves is done with the plot command. It takes a pair of same-length arrays (or sequences) −

from numpy import *from pylab import *x = linspace(-3, 3, 30)y = x**2plot(x, y)show()

The above line of code generates the following output −

Matplotlib - Quick Guide (10)

To plot symbols rather than lines, provide an additional string argument.

symbols- , –, -., , . , , , o , ^ , v , < , > , s , + , x , D , d , 1 , 2 , 3 , 4 , h , H , p , | , _
colorsb, g, r, c, m, y, k, w

Now, consider executing the following code −

from pylab import *x = linspace(-3, 3, 30)y = x**2plot(x, y, 'r.')show()

It plots the red dots as shown below −

Matplotlib - Quick Guide (11)

Plots can be overlaid. Just use the multiple plot commands. Use clf() to clear the plot.

from pylab import *plot(x, sin(x))plot(x, cos(x), 'r-')plot(x, -sin(x), 'g--')show()

The above line of code generates the following output −

Matplotlib - Quick Guide (12)

While it is easy to quickly generate plots with the matplotlib.pyplot module, the use of object-oriented approach is recommended as it gives more control and customization of your plots. Most of the functions are also available in the matplotlib.axes.Axes class.

The main idea behind using the more formal object-oriented method is to create figure objects and then just call methods or attributes off of that object. This approach helps better in dealing with a canvas that has multiple plots on it.

In object-oriented interface, Pyplot is used only for a few functions such as figure creation, and the user explicitly creates and keeps track of the figure and axes objects. At this level, the user uses Pyplot to create figures, and through those figures, one or more axes objects can be created. These axes objects are then used for most plotting actions.

To begin with, we create a figure instance which provides an empty canvas.

fig = plt.figure()

Now add axes to figure. The add_axes() method requires a list object of 4 elements corresponding to left, bottom, width and height of the figure. Each number must be between 0 and 1 −

ax=fig.add_axes([0,0,1,1])

Set labels for x and y axis as well as title −

ax.set_title("sine wave")ax.set_xlabel('angle')ax.set_ylabel('sine')

Invoke the plot() method of the axes object.

ax.plot(x,y)

If you are using Jupyter notebook, the %matplotlib inline directive has to be issued; the otherwistshow() function of pyplot module displays the plot.

Consider executing the following code −

from matplotlib import pyplot as pltimport numpy as npimport mathx = np.arange(0, math.pi*2, 0.05)y = np.sin(x)fig = plt.figure()ax = fig.add_axes([0,0,1,1])ax.plot(x,y)ax.set_title("sine wave")ax.set_xlabel('angle')ax.set_ylabel('sine')plt.show()

Output

The above line of code generates the following output −

Matplotlib - Quick Guide (13)

The same code when run in Jupyter notebook shows the output as shown below −

Matplotlib - Quick Guide (14)

The matplotlib.figure module contains the Figure class. It is a top-level container for all plot elements. The Figure object is instantiated by calling the figure() function from the pyplot module −

fig = plt.figure()

The following table shows the additional parameters −

Figsize(width,height) tuple in inches
DpiDots per inches
FacecolorFigure patch facecolor
EdgecolorFigure patch edge color
LinewidthEdge line width

Axes object is the region of the image with the data space. A given figure can contain many Axes, but a given Axes object can only be in one Figure. The Axes contains two (or three in the case of 3D) Axis objects. The Axes class and its member functions are the primary entry point to working with the OO interface.

Axes object is added to figure by calling the add_axes() method. It returns the axes object and adds an axes at position rect [left, bottom, width, height] where all quantities are in fractions of figure width and height.

Parameter

Following is the parameter for the Axes class −

  • rect − A 4-length sequence of [left, bottom, width, height] quantities.

ax=fig.add_axes([0,0,1,1])

The following member functions of axes class add different elements to plot −

Legend

The legend() method of axes class adds a legend to the plot figure. It takes three parameters −

ax.legend(handles, labels, loc)

Where labels is a sequence of strings and handles a sequence of Line2D or Patch instances. loc can be a string or an integer specifying the legend location.

Location stringLocation code
Best0
upper right1
upper left2
lower left3
lower right4
Right5
Center left6
Center right7
lower center8
upper center9
Center10

axes.plot()

This is the basic method of axes class that plots values of one array versus another as lines or markers. The plot() method can have an optional format string argument to specify color, style and size of line and marker.

Color codes

CharacterColor
‘b’Blue
‘g’Green
‘r’Red
‘b’Blue
‘c’Cyan
‘m’Magenta
‘y’Yellow
‘k’Black
‘b’Blue
‘w’White

Marker codes

CharacterDescription
‘.’Point marker
‘o’Circle marker
‘x’X marker
‘D’Diamond marker
‘H’Hexagon marker
‘s’Square marker
‘+’Plus marker

Line styles

CharacterDescription
‘-‘Solid line
‘—‘Dashed line
‘-.’Dash-dot line
‘:’Dotted line
‘H’Hexagon marker

Following example shows the advertisem*nt expenses and sales figures of TV and smartphone in the form of line plots. Line representing TV is a solid line with yellow colour and square markers whereas smartphone line is a dashed line with green colour and circle marker.

import matplotlib.pyplot as plty = [1, 4, 9, 16, 25,36,49, 64]x1 = [1, 16, 30, 42,55, 68, 77,88]x2 = [1,6,12,18,28, 40, 52, 65]fig = plt.figure()ax = fig.add_axes([0,0,1,1])l1 = ax.plot(x1,y,'ys-') # solid line with yellow colour and square markerl2 = ax.plot(x2,y,'go--') # dash line with green colour and circle markerax.legend(labels = ('tv', 'Smartphone'), loc = 'lower right') # legend placed at lower rightax.set_title("Advertisem*nt effect on sales")ax.set_xlabel('medium')ax.set_ylabel('sales')plt.show()

When the above line of code is executed, it produces the following plot −

Matplotlib - Quick Guide (15)

In this chapter, we will learn how to create multiple subplots on same canvas.

The subplot() function returns the axes object at a given grid position. The Call signature of this function is −

plt.subplot(subplot(nrows, ncols, index)

In the current figure, the function creates and returns an Axes object, at position index of a grid of nrows by ncolsaxes. Indexes go from 1 to nrows * ncols, incrementing in row-major order.Ifnrows, ncols and index are all less than 10. The indexes can also be given as single, concatenated, threedigitnumber.

For example, subplot(2, 3, 3) and subplot(233) both create an Axes at the top right corner of the current figure, occupying half of the figure height and a third of the figure width.

Creating a subplot will delete any pre-existing subplot that overlaps with it beyond sharing a boundary.

import matplotlib.pyplot as plt# plot a line, implicitly creating a subplot(111)plt.plot([1,2,3])# now create a subplot which represents the top plot of a grid with 2 rows and 1 column.#Since this subplot will overlap the first, the plot (and its axes) previously created, will be removedplt.subplot(211)plt.plot(range(12))plt.subplot(212, facecolor='y') # creates 2nd subplot with yellow backgroundplt.plot(range(12))

The above line of code generates the following output −

Matplotlib - Quick Guide (16)

The add_subplot() function of the figure class will not overwrite the existing plot −

import matplotlib.pyplot as pltfig = plt.figure()ax1 = fig.add_subplot(111)ax1.plot([1,2,3])ax2 = fig.add_subplot(221, facecolor='y')ax2.plot([1,2,3])

When the above line of code is executed, it generates the following output −

Matplotlib - Quick Guide (17)

You can add an insert plot in the same figure by adding another axes object in the same figure canvas.

import matplotlib.pyplot as pltimport numpy as npimport mathx = np.arange(0, math.pi*2, 0.05)fig=plt.figure()axes1 = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # main axesaxes2 = fig.add_axes([0.55, 0.55, 0.3, 0.3]) # inset axesy = np.sin(x)axes1.plot(x, y, 'b')axes2.plot(x,np.cos(x),'r')axes1.set_title('sine')axes2.set_title("cosine")plt.show()

Upon execution of the above line of code, the following output is generated −

Matplotlib - Quick Guide (18)

Matplotlib’spyplot API has a convenience function called subplots() which acts as a utility wrapper and helps in creating common layouts of subplots, including the enclosing figure object, in a single call.

Plt.subplots(nrows, ncols)

The two integer arguments to this function specify the number of rows and columns of the subplot grid. The function returns a figure object and a tuple containing axes objects equal to nrows*ncols. Each axes object is accessible by its index. Here we create a subplot of 2 rows by 2 columns and display 4 different plots in each subplot.

import matplotlib.pyplot as pltfig,a = plt.subplots(2,2)import numpy as npx = np.arange(1,5)a[0][0].plot(x,x*x)a[0][0].set_title('square')a[0][1].plot(x,np.sqrt(x))a[0][1].set_title('square root')a[1][0].plot(x,np.exp(x))a[1][0].set_title('exp')a[1][1].plot(x,np.log10(x))a[1][1].set_title('log')plt.show()

The above line of code generates the following output −

Matplotlib - Quick Guide (19)

This function gives more flexibility in creating an axes object at a specific location of the grid. It also allows the axes object to be spanned across multiple rows or columns.

Plt.subplot2grid(shape, location, rowspan, colspan)

In the following example, a 3X3 grid of the figure object is filled with axes objects of varying sizes in row and column spans, each showing a different plot.

import matplotlib.pyplot as plta1 = plt.subplot2grid((3,3),(0,0),colspan = 2)a2 = plt.subplot2grid((3,3),(0,2), rowspan = 3)a3 = plt.subplot2grid((3,3),(1,0),rowspan = 2, colspan = 2)import numpy as npx = np.arange(1,10)a2.plot(x, x*x)a2.set_title('square')a1.plot(x, np.exp(x))a1.set_title('exp')a3.plot(x, np.log(x))a3.set_title('log')plt.tight_layout()plt.show()

Upon execution of the above line code, the following output is generated −

Matplotlib - Quick Guide (20)

The grid() function of axes object sets visibility of grid inside the figure to on or off. You can also display major / minor (or both) ticks of the grid. Additionally color, linestyle and linewidth properties can be set in the grid() function.

import matplotlib.pyplot as pltimport numpy as npfig, axes = plt.subplots(1,3, figsize = (12,4))x = np.arange(1,11)axes[0].plot(x, x**3, 'g',lw=2)axes[0].grid(True)axes[0].set_title('default grid')axes[1].plot(x, np.exp(x), 'r')axes[1].grid(color='b', ls = '-.', lw = 0.25)axes[1].set_title('custom grid')axes[2].plot(x,x)axes[2].set_title('no grid')fig.tight_layout()plt.show()

Matplotlib - Quick Guide (21)

Sometimes, one or a few points are much larger than the bulk of data. In such a case, the scale of an axis needs to be set as logarithmic rather than the normal scale. This is the Logarithmic scale. In Matplotlib, it is possible by setting xscale or vscale property of axes object to ‘log’.

It is also required sometimes to show some additional distance between axis numbers and axis label. The labelpad property of either axis (x or y or both) can be set to the desired value.

Both the above features are demonstrated with the help of the following example. The subplot on the right has a logarithmic scale and one on left has its x axis having label at more distance.

import matplotlib.pyplot as pltimport numpy as npfig, axes = plt.subplots(1, 2, figsize=(10,4))x = np.arange(1,5)axes[0].plot( x, np.exp(x))axes[0].plot(x,x**2)axes[0].set_title("Normal scale")axes[1].plot (x, np.exp(x))axes[1].plot(x, x**2)axes[1].set_yscale("log")axes[1].set_title("Logarithmic scale (y)")axes[0].set_xlabel("x axis")axes[0].set_ylabel("y axis")axes[0].xaxis.labelpad = 10axes[1].set_xlabel("x axis")axes[1].set_ylabel("y axis")plt.show()

Matplotlib - Quick Guide (22)

Axis spines are the lines connecting axis tick marks demarcating boundaries of plot area. The axes object has spines located at top, bottom, left and right.

Each spine can be formatted by specifying color and width. Any edge can be made invisible if its color is set to none.

import matplotlib.pyplot as pltfig = plt.figure()ax = fig.add_axes([0,0,1,1])ax.spines['bottom'].set_color('blue')ax.spines['left'].set_color('red')ax.spines['left'].set_linewidth(2)ax.spines['right'].set_color(None)ax.spines['top'].set_color(None)ax.plot([1,2,3,4,5])plt.show()

Matplotlib - Quick Guide (23)

Matplotlib automatically arrives at the minimum and maximum values of variables to be displayed along x, y (and z axis in case of 3D plot) axes of a plot. However, it is possible to set the limits explicitly by using set_xlim() and set_ylim() functions.

In the following plot, the autoscaled limits of x and y axes are shown −

import matplotlib.pyplot as pltfig = plt.figure()a1 = fig.add_axes([0,0,1,1])import numpy as npx = np.arange(1,10)a1.plot(x, np.exp(x))a1.set_title('exp')plt.show()

Matplotlib - Quick Guide (24)

Now we format the limits on x axis to (0 to 10) and y axis (0 to 10000) −

import matplotlib.pyplot as pltfig = plt.figure()a1 = fig.add_axes([0,0,1,1])import numpy as npx = np.arange(1,10)a1.plot(x, np.exp(x),'r')a1.set_title('exp')a1.set_ylim(0,10000)a1.set_xlim(0,10)plt.show()

Matplotlib - Quick Guide (25)

Ticks are the markers denoting data points on axes. Matplotlib has so far - in all our previous examples - automatically taken over the task of spacing points on the axis.Matplotlib's default tick locators and formatters are designed to be generally sufficient in many common situations. Position and labels of ticks can be explicitly mentioned to suit specific requirements.

The xticks() and yticks() function takes a list object as argument. The elements in the list denote the positions on corresponding action where ticks will be displayed.

ax.set_xticks([2,4,6,8,10])

This method will mark the data points at the given positions with ticks.

Similarly, labels corresponding to tick marks can be set by set_xlabels() and set_ylabels() functions respectively.

ax.set_xlabels([‘two’, ‘four’,’six’, ‘eight’, ‘ten’])

This will display the text labels below the markers on the x axis.

Following example demonstrates the use of ticks and labels.

import matplotlib.pyplot as pltimport numpy as npimport mathx = np.arange(0, math.pi*2, 0.05)fig = plt.figure()ax = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # main axesy = np.sin(x)ax.plot(x, y)ax.set_xlabel(‘angle’)ax.set_title('sine')ax.set_xticks([0,2,4,6])ax.set_xticklabels(['zero','two','four','six'])ax.set_yticks([-1,0,1])plt.show()

Matplotlib - Quick Guide (26)

It is considered useful to have dual x or y axes in a figure. Moreso, when plotting curves with different units together. Matplotlib supports this with the twinxand twiny functions.

In the following example, the plot has dual y axes, one showing exp(x) and the other showing log(x) −

import matplotlib.pyplot as pltimport numpy as npfig = plt.figure()a1 = fig.add_axes([0,0,1,1])x = np.arange(1,11)a1.plot(x,np.exp(x))a1.set_ylabel('exp')a2 = a1.twinx()a2.plot(x, np.log(x),'ro-')a2.set_ylabel('log')fig.legend(labels = ('exp','log'),loc='upper left')plt.show()

Matplotlib - Quick Guide (27)

A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that they represent. The bars can be plotted vertically or horizontally.

A bar graph shows comparisons among discrete categories. One axis of the chart shows the specific categories being compared, and the other axis represents a measured value.

Matplotlib API provides the bar() function that can be used in the MATLAB style use as well as object oriented API. The signature of bar() function to be used with axes object is as follows −

ax.bar(x, height, width, bottom, align)

The function makes a bar plot with the bound rectangle of size (x −width = 2; x + width=2; bottom; bottom + height).

The parameters to the function are −

xsequence of scalars representing the x coordinates of the bars. align controls if x is the bar center (default) or left edge.
heightscalar or sequence of scalars representing the height(s) of the bars.
widthscalar or array-like, optional. the width(s) of the bars default 0.8
bottomscalar or array-like, optional. the y coordinate(s) of the bars default None.
align{‘center’, ‘edge’}, optional, default ‘center’

The function returns a Matplotlib container object with all bars.

Following is a simple example of the Matplotlib bar plot. It shows the number of students enrolled for various courses offered at an institute.

import matplotlib.pyplot as pltfig = plt.figure()ax = fig.add_axes([0,0,1,1])langs = ['C', 'C++', 'Java', 'Python', 'PHP']students = [23,17,35,29,12]ax.bar(langs,students)plt.show()

Matplotlib - Quick Guide (28)

When comparing several quantities and when changing one variable, we might want a bar chart where we have bars of one color for one quantity value.

We can plot multiple bar charts by playing with the thickness and the positions of the bars. The data variable contains three series of four values. The following script will show three bar charts of four bars. The bars will have a thickness of 0.25 units. Each bar chart will be shifted 0.25 units from the previous one. The data object is a multidict containing number of students passed in three branches of an engineering college over the last four years.

import numpy as npimport matplotlib.pyplot as pltdata = [[30, 25, 50, 20],[40, 23, 51, 17],[35, 22, 45, 19]]X = np.arange(4)fig = plt.figure()ax = fig.add_axes([0,0,1,1])ax.bar(X + 0.00, data[0], color = 'b', width = 0.25)ax.bar(X + 0.25, data[1], color = 'g', width = 0.25)ax.bar(X + 0.50, data[2], color = 'r', width = 0.25)

Matplotlib - Quick Guide (29)

The stacked bar chart stacks bars that represent different groups on top of each other. The height of the resulting bar shows the combined result of the groups.

The optional bottom parameter of the pyplot.bar() function allows you to specify a starting value for a bar. Instead of running from zero to a value, it will go from the bottom to the value. The first call to pyplot.bar() plots the blue bars. The second call to pyplot.bar() plots the red bars, with the bottom of the blue bars being at the top of the red bars.

import numpy as npimport matplotlib.pyplot as pltN = 5menMeans = (20, 35, 30, 35, 27)womenMeans = (25, 32, 34, 20, 25)ind = np.arange(N) # the x locations for the groupswidth = 0.35fig = plt.figure()ax = fig.add_axes([0,0,1,1])ax.bar(ind, menMeans, width, color='r')ax.bar(ind, womenMeans, width,bottom=menMeans, color='b')ax.set_ylabel('Scores')ax.set_title('Scores by group and gender')ax.set_xticks(ind, ('G1', 'G2', 'G3', 'G4', 'G5'))ax.set_yticks(np.arange(0, 81, 10))ax.legend(labels=['Men', 'Women'])plt.show()

Matplotlib - Quick Guide (30)

A histogram is an accurate representation of the distribution of numerical data. It is an estimate of the probability distribution of a continuous variable. It is a kind of bar graph.

To construct a histogram, follow these steps −

  • Bin the range of values.
  • Divide the entire range of values into a series of intervals.
  • Count how many values fall into each interval.

The bins are usually specified as consecutive, non-overlapping intervals of a variable.

The matplotlib.pyplot.hist() function plots a histogram. It computes and draws the histogram of x.

Parameters

The following table lists down the parameters for a histogram −

xarray or sequence of arrays
binsinteger or sequence or ‘auto’, optional
optional parameters
rangeThe lower and upper range of the bins.
densityIf True, the first element of the return tuple will be the counts normalized to form a probability density
cumulativeIf True, then a histogram is computed where each bin gives the counts in that bin plus all bins for smaller values.
histtypeThe type of histogram to draw. Default is ‘bar’
  • ‘bar’ is a traditional bar-type histogram. If multiple data are given the bars are arranged side by side.
  • ‘barstacked’ is a bar-type histogram where multiple data are stacked on top of each other.
  • ‘step’ generates a lineplot that is by default unfilled.
  • ‘stepfilled’ generates a lineplot that is by default filled.

Following example plots a histogram of marks obtained by students in a class. Four bins, 0-25, 26-50, 51-75, and 76-100 are defined. The Histogram shows number of students falling in this range.

from matplotlib import pyplot as pltimport numpy as npfig,ax = plt.subplots(1,1)a = np.array([22,87,5,43,56,73,55,54,11,20,51,5,79,31,27])ax.hist(a, bins = [0,25,50,75,100])ax.set_title("histogram of result")ax.set_xticks([0,25,50,75,100])ax.set_xlabel('marks')ax.set_ylabel('no. of students')plt.show()

The plot appears as shown below −

Matplotlib - Quick Guide (31)

A Pie Chart can only display one series of data. Pie charts show the size of items (called wedge) in one data series, proportional to the sum of the items. The data points in a pie chart are shown as a percentage of the whole pie.

Matplotlib API has a pie() function that generates a pie diagram representing data in an array. The fractional area of each wedge is given by x/sum(x). If sum(x)< 1, then the values of x give the fractional area directly and the array will not be normalized. Theresulting pie will have an empty wedge of size 1 - sum(x).

The pie chart looks best if the figure and axes are square, or the Axes aspect is equal.

Parameters

Following table lists down the parameters foe a pie chart −

xarray-like. The wedge sizes.
labelslist. A sequence of strings providing the labels for each wedge.
ColorsA sequence of matplotlibcolorargs through which the pie chart will cycle. If None, will use the colors in the currently active cycle.
Autopctstring, used to label the wedges with their numeric value. The label will be placed inside the wedge. The format string will be fmt%pct.

Following code uses the pie() function to display the pie chart of the list of students enrolled for various computer language courses. The proportionate percentage is displayed inside the respective wedge with the help of autopct parameter which is set to %1.2f%.

from matplotlib import pyplot as pltimport numpy as npfig = plt.figure()ax = fig.add_axes([0,0,1,1])ax.axis('equal')langs = ['C', 'C++', 'Java', 'Python', 'PHP']students = [23,17,35,29,12]ax.pie(students, labels = langs,autopct='%1.2f%%')plt.show()

Matplotlib - Quick Guide (32)

Scatter plots are used to plot data points on horizontal and vertical axis in the attempt to show how much one variable is affected by another. Each row in the data table is represented by a marker the position depends on its values in the columns set on the X and Y axes. A third variable can be set to correspond to the color or size of the markers, thus adding yet another dimension to the plot.

The script below plots a scatter diagram of grades range vs grades of boys and girls in two different colors.

import matplotlib.pyplot as pltgirls_grades = [89, 90, 70, 89, 100, 80, 90, 100, 80, 34]boys_grades = [30, 29, 49, 48, 100, 48, 38, 45, 20, 30]grades_range = [10, 20, 30, 40, 50, 60, 70, 80, 90, 100]fig=plt.figure()ax=fig.add_axes([0,0,1,1])ax.scatter(grades_range, girls_grades, color='r')ax.scatter(grades_range, boys_grades, color='b')ax.set_xlabel('Grades Range')ax.set_ylabel('Grades Scored')ax.set_title('scatter plot')plt.show()

Matplotlib - Quick Guide (33)

Contour plots (sometimes called Level Plots) are a way to show a three-dimensional surface on a two-dimensional plane. It graphs two predictor variables X Y on the y-axis and a response variable Z as contours. These contours are sometimes called the z-slices or the iso-response values.

A contour plot is appropriate if you want to see how alue Z changes as a function of two inputs X and Y, such that Z = f(X,Y). A contour line or isoline of a function of two variables is a curve along which the function has a constant value.

The independent variables x and y are usually restricted to a regular grid called meshgrid. The numpy.meshgrid creates a rectangular grid out of an array of x values and an array of y values.

Matplotlib API contains contour() and contourf() functions that draw contour lines and filled contours, respectively. Both functions need three parameters x,y and z.

import numpy as npimport matplotlib.pyplot as pltxlist = np.linspace(-3.0, 3.0, 100)ylist = np.linspace(-3.0, 3.0, 100)X, Y = np.meshgrid(xlist, ylist)Z = np.sqrt(X**2 + Y**2)fig,ax=plt.subplots(1,1)cp = ax.contourf(X, Y, Z)fig.colorbar(cp) # Add a colorbar to a plotax.set_title('Filled Contours Plot')#ax.set_xlabel('x (cm)')ax.set_ylabel('y (cm)')plt.show()

Matplotlib - Quick Guide (34)

A quiver plot displays the velocity vectors as arrows with components (u,v) at the points (x,y).

quiver(x,y,u,v)

The above command plots vectors as arrows at the coordinates specified in each corresponding pair of elements in x and y.

Parameters

The following table lists down the different parameters for the Quiver plot −

x1D or 2D array, sequence. The x coordinates of the arrow locations
y1D or 2D array, sequence. The y coordinates of the arrow locations
u1D or 2D array, sequence. The x components of the arrow vectors
v1D or 2D array, sequence. The y components of the arrow vectors
c1D or 2D array, sequence. The arrow colors

The following code draws a simple quiver plot −

import matplotlib.pyplot as pltimport numpy as npx,y = np.meshgrid(np.arange(-2, 2, .2), np.arange(-2, 2, .25))z = x*np.exp(-x**2 - y**2)v, u = np.gradient(z, .2, .2)fig, ax = plt.subplots()q = ax.quiver(x,y,u,v)plt.show()

Matplotlib - Quick Guide (35)

A box plot which is also known as a whisker plot displays a summary of a set of data containing the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.

Matplotlib - Quick Guide (36)

Let us create the data for the boxplots. We use the numpy.random.normal() function to create the fake data. It takes three arguments, mean and standard deviation of the normal distribution, and the number of values desired.

np.random.seed(10)collectn_1 = np.random.normal(100, 10, 200)collectn_2 = np.random.normal(80, 30, 200)collectn_3 = np.random.normal(90, 20, 200)collectn_4 = np.random.normal(70, 25, 200)

The list of arrays that we created above is the only required input for creating the boxplot. Using the data_to_plot line of code, we can create the boxplot with the following code −

fig = plt.figure()# Create an axes instanceax = fig.add_axes([0,0,1,1])# Create the boxplotbp = ax.boxplot(data_to_plot)plt.show()

The above line of code will generate the following output −

Matplotlib - Quick Guide (37)

Violin plots are similar to box plots, except that they also show the probability density of the data at different values. These plots include a marker for the median of the data and a box indicating the interquartile range, as in the standard box plots. Overlaid on this box plot is a kernel density estimation. Like box plots, violin plots are used to represent comparison of a variable distribution (or sample distribution) across different "categories".

A violin plot is more informative than a plain box plot. In fact while a box plot only shows summary statistics such as mean/median and interquartile ranges, the violin plot shows the full distribution of the data.

import matplotlib.pyplot as pltimport numpy as npnp.random.seed(10)collectn_1 = np.random.normal(100, 10, 200)collectn_2 = np.random.normal(80, 30, 200)collectn_3 = np.random.normal(90, 20, 200)collectn_4 = np.random.normal(70, 25, 200)## combine these different collections into a listdata_to_plot = [collectn_1, collectn_2, collectn_3, collectn_4]# Create a figure instancefig = plt.figure()# Create an axes instanceax = fig.add_axes([0,0,1,1])# Create the boxplotbp = ax.violinplot(data_to_plot)plt.show()

Matplotlib - Quick Guide (38)

Even though Matplotlib was initially designed with only two-dimensional plotting in mind, some three-dimensional plotting utilities were built on top of Matplotlib's two-dimensional display in later versions, to provide a set of tools for three-dimensional data visualization. Three-dimensional plots are enabled by importing the mplot3d toolkit, included with the Matplotlib package.

A three-dimensional axes can be created by passing the keyword projection='3d' to any of the normal axes creation routines.

from mpl_toolkits import mplot3dimport numpy as npimport matplotlib.pyplot as pltfig = plt.figure()ax = plt.axes(projection='3d')z = np.linspace(0, 1, 100)x = z * np.sin(20 * z)y = z * np.cos(20 * z)ax.plot3D(x, y, z, 'gray')ax.set_title('3D line plot')plt.show()

We can now plot a variety of three-dimensional plot types. The most basic three-dimensional plot is a 3D line plot created from sets of (x, y, z) triples. This can be created using the ax.plot3D function.

Matplotlib - Quick Guide (39)

3D scatter plot is generated by using the ax.scatter3D function.

from mpl_toolkits import mplot3dimport numpy as npimport matplotlib.pyplot as pltfig = plt.figure()ax = plt.axes(projection='3d')z = np.linspace(0, 1, 100)x = z * np.sin(20 * z)y = z * np.cos(20 * z)c = x + yax.scatter(x, y, z, c=c)ax.set_title('3d Scatter plot')plt.show()

Matplotlib - Quick Guide (40)

The ax.contour3D() function creates three-dimensional contour plot. It requires all the input data to be in the form of two-dimensional regular grids, with the Z-data evaluated at each point. Here, we will show a three-dimensional contour diagram of a three-dimensional sinusoidal function.

from mpl_toolkits import mplot3dimport numpy as npimport matplotlib.pyplot as pltdef f(x, y): return np.sin(np.sqrt(x ** 2 + y ** 2))x = np.linspace(-6, 6, 30)y = np.linspace(-6, 6, 30)X, Y = np.meshgrid(x, y)Z = f(X, Y)fig = plt.figure()ax = plt.axes(projection='3d')ax.contour3D(X, Y, Z, 50, cmap='binary')ax.set_xlabel('x')ax.set_ylabel('y')ax.set_zlabel('z')ax.set_title('3D contour')plt.show()

Matplotlib - Quick Guide (41)

Wireframe plot takes a grid of values and projects it onto the specified three-dimensional surface, and can make the resulting three-dimensional forms quite easy to visualize. The plot_wireframe() function is used for the purpose −

from mpl_toolkits import mplot3dimport numpy as npimport matplotlib.pyplot as pltdef f(x, y): return np.sin(np.sqrt(x ** 2 + y ** 2))x = np.linspace(-6, 6, 30)y = np.linspace(-6, 6, 30)X, Y = np.meshgrid(x, y)Z = f(X, Y)fig = plt.figure()ax = plt.axes(projection='3d')ax.plot_wireframe(X, Y, Z, color='black')ax.set_title('wireframe')plt.show()

The above line of code will generate the following output −

Matplotlib - Quick Guide (42)

Surface plot shows a functional relationship between a designated dependent variable (Y), and two independent variables (X and Z). The plot is a companion plot to the contour plot. A surface plot is like a wireframe plot, but each face of the wireframe is a filled polygon. This can aid perception of the topology of the surface being visualized. The plot_surface() function x,y and z as arguments.

from mpl_toolkits import mplot3dimport numpy as npimport matplotlib.pyplot as pltx = np.outer(np.linspace(-2, 2, 30), np.ones(30))y = x.copy().T # transposez = np.cos(x ** 2 + y ** 2)fig = plt.figure()ax = plt.axes(projection='3d')ax.plot_surface(x, y, z,cmap='viridis', edgecolor='none')ax.set_title('Surface plot')plt.show()

The above line of code will generate the following output −

Matplotlib - Quick Guide (43)

Matplotlib has extensive text support, including support for mathematical expressions, TrueType support for raster and vector outputs, newline separated text with arbitrary rotations, and unicode support. Matplotlib includes its own matplotlib.font_manager which implements a cross platform, W3C compliant font finding algorithm.

The user has a great deal of control over text properties (font size, font weight, text location and color, etc.). Matplotlib implements a large number of TeX math symbols and commands.

The following list of commands are used to create text in the Pyplot interface −

textAdd text at an arbitrary location of the Axes.
annotateAdd an annotation, with an optional arrow, at an arbitrary location of theAxes.
xlabelAdd a label to the Axes’s x-axis.
ylabelAdd a label to the Axes’s y-axis.
titleAdd a title to the Axes.
figtextAdd text at an arbitrary location of the Figure.
suptitleAdd a title to the Figure.

All of these functions create and return a matplotlib.text.Text() instance.

Following scripts demonstrate the use of some of the above functions −

import matplotlib.pyplot as pltfig = plt.figure()ax = fig.add_axes([0,0,1,1])ax.set_title('axes title')ax.set_xlabel('xlabel')ax.set_ylabel('ylabel')ax.text(3, 8, 'boxed italics text in data coords', style='italic', bbox = {'facecolor': 'red'})ax.text(2, 6, r'an equation: $E = mc^2$', fontsize = 15)ax.text(4, 0.05, 'colored text in axes coords',verticalalignment = 'bottom', color = 'green', fontsize = 15)ax.plot([2], [1], 'o')ax.annotate('annotate', xy = (2, 1), xytext = (3, 4),arrowprops = dict(facecolor = 'black', shrink = 0.05))ax.axis([0, 10, 0, 10])plt.show()

The above line of code will generate the following output −

Matplotlib - Quick Guide (44)

You can use a subset TeXmarkup in any Matplotlib text string by placing it inside a pair of dollar signs ($).

# math textplt.title(r'$\alpha > \beta$')

To make subscripts and superscripts, use the '_' and '^' symbols −

r'$\alpha_i> \beta_i$'import numpy as npimport matplotlib.pyplot as pltt = np.arange(0.0, 2.0, 0.01)s = np.sin(2*np.pi*t)plt.plot(t,s)plt.title(r'$\alpha_i> \beta_i$', fontsize=20)plt.text(0.6, 0.6, r'$\mathcal{A}\mathrm{sin}(2 \omega t)$', fontsize = 20)plt.text(0.1, -0.5, r'$\sqrt{2}$', fontsize=10)plt.xlabel('time (s)')plt.ylabel('volts (mV)')plt.show()

The above line of code will generate the following output −

Matplotlib - Quick Guide (45)

The image module in Matplotlib package provides functionalities required for loading, rescaling and displaying image.

Loading image data is supported by the Pillow library. Natively, Matplotlib only supports PNG images. The commands shown below fall back on Pillow if the native read fails.

The image used in this example is a PNG file, but keep that Pillow requirement in mind for your own data. The imread() function is used to read image data in an ndarray object of float32 dtype.

import matplotlib.pyplot as pltimport matplotlib.image as mpimgimport numpy as npimg = mpimg.imread('mtplogo.png')

Assuming that following image named as mtplogo.png is present in the current working directory.

Matplotlib - Quick Guide (46)

Any array containing image data can be saved to a disk file by executing the imsave() function. Here a vertically flipped version of the original png file is saved by giving origin parameter as lower.

plt.imsave("logo.png", img, cmap = 'gray', origin = 'lower')

The new image appears as below if opened in any image viewer.

Matplotlib - Quick Guide (47)

To draw the image on Matplotlib viewer, execute the imshow() function.

imgplot = plt.imshow(img)

The matplotlib package is built on top of a transformation framework to easily move between coordinate systems. Four coordinate systems can be used. The systems are described in brief in the table given below −

CoordinateTransformation ObjectDescription
Dataax.transData

The user land data coordinate system. controlled by the xlim and ylim

Axesax.transAxes

The coordinate system of the Axes. (0,0) is bottom left and (1,1) is top right of the axes.

Figurefig.transFigure

The coordinate system of the Figure. (0,0) is bottom left and (1,1) is top right of the figure

displayNone

This is the pixel coordinate system of the display. (0,0) is the bottom left and (width, height) is the top right of display in pixels.

Alternatively, the(matplotlib.transforms.IdentityTransform()) may be used instead of None.

Consider the following example −

axes.text(x,y,"my label") 

The text is placed at the theoretical position of a data point (x,y). Thus we would speak of "data coords".

Using other transformation objects, placement can be controlled. For example, if the above test is to be placed in the centre of axes coordinate system, execute the following line of code −

axes.text(0.5, 0.5, "middle of graph", transform=axes.transAxes)

These transformations can be used for any kind of Matplotlib objects. The default transformation for ax.text is ax.transData and the default transformation for fig.text is fig.transFigure.

The axes coordinate system is extremely useful when placing text in your axes. You might often want a text bubble in a fixed location; for example, on the upper left of the axes pane and have that location remain fixed when you pan or zoom.

Advertisem*nts

';adpushup.triggerAd(ad_id); });

Matplotlib - Quick Guide (2024)

FAQs

Is matplotlib easy to learn? ›

Matplotlib is easy to use and an amazing visualizing library in Python.

Why is Seaborn better than Matplotlib? ›

Seaborn is great for quickly creating visually appealing plots with minimal code, while Matplotlib offers more customization options and fine-grained control over every aspect of a plot. Ultimately, the choice between Seaborn and Matplotlib will depend on the specific requirements of your project.

Is Matplotlib hard to use? ›

In Matplotlib, the approach is to create an initial plot object, and then overlay data series on top of that — this is a normal pattern that will be familiar as we go through the libraries. However, the initial plot object is a complicated thing and poses an immediate challenge to new users.

How long will it take to learn Matplotlib? ›

It will take you two to three weeks at one to two hours a day to learn Matplotlib, assuming that you already understand Python. If you don't know Python yet, check out this comprehensive guide on learning Python. If you want to become a data analyst or data scientist, you will need to continually improve your skills.

Should I learn NumPy or Matplotlib first? ›

If you don't have coding background, it will take around three months to complete these all the libraries. Matplotlib, SciPy and Pandas require NumPy. So learn NumPy first. Then learn Matplotlib if you need to visualize data.

What is the disadvantage of Matplotlib? ›

Overall, while it is a widely used and powerful data visualization tool, users should be aware of its potential disadvantages, including the steep learning curve, limited interactivity, visual aesthetics, limited 3D support, and slow performance when working with large datasets.

Do people still use Matplotlib? ›

Matplotlib is probably the first plotting library that every data scientist, or data analyst, comes across if they work in the Python programming language. It appears to be used everywhere.

Do data scientists use Matplotlib? ›

Matplotlib is particularly useful for data scientists because it provides a wide range of customization options for data visualizations, allowing for a high degree of versatility and flexibility without sacrificing ease of use.

How do I make matplotlib look professional? ›

Contents
  1. Start with a “decent” plot.
  2. Distinguish different types of information.
  3. Emphasize what's important by using colors strategically.
  4. Ditch the box.
  5. Make the legend be effortless to read.
  6. Size fonts for the reader.
  7. Make your figure crystal clear by saving at a high resolution.
  8. Other recommendations. Style guides.

What is the first step when plotting with matplotlib? ›

Following steps were followed:
  • Define the x-axis and corresponding y-axis values as lists.
  • Plot them on canvas using . plot() function.
  • Give a name to x-axis and y-axis using . xlabel() and . ylabel() functions.
  • Give a title to your plot using . title() function.
  • Finally, to view your plot, we use . show() function.
Jan 4, 2022

What is the main purpose of matplotlib? ›

Matplotlib is a popular plotting library in Python used for creating high-quality visualizations and graphs. It offers various tools to generate diverse plots, facilitating data analysis, exploration, and presentation.

Is Pandas better than Matplotlib? ›

Conclusion: In conclusion, Matplotlib, Pandas, and Seaborn each offer unique advantages and are suited for different use cases. Matplotlib provides flexibility and customization, Pandas simplifies the creation of basic plots from DataFrame objects, and Seaborn excels in statistical visualization and aesthetics.

What is the prerequisite to learn Matplotlib? ›

Prerequisites To Learn Matplotlib

You should have a basic understanding of computer programming. A basic understanding of Python and any of the programming languages is a plus. Basic knowledge of statistics and mathematics is helpful for data analysis and interpretation.

References

Top Articles
15 of my favourite desserts ever (with vintage recipes for many of them)
Coconut Macaroons - Tres Leches Recipe
St Thomas Usvi Craigslist
Star Wars Mongol Heleer
Victory Road Radical Red
Washu Parking
Garrison Blacksmith Bench
Jonathan Freeman : "Double homicide in Rowan County leads to arrest" - Bgrnd Search
Walgreens Alma School And Dynamite
7543460065
Truist Drive Through Hours
Epaper Pudari
New Mexico Craigslist Cars And Trucks - By Owner
Saw X | Rotten Tomatoes
Industry Talk: Im Gespräch mit den Machern von Magicseaweed
Jesus Calling Oct 27
Scenes from Paradise: Where to Visit Filming Locations Around the World - Paradise
Gdp E124
라이키 유출
Accident On The 210 Freeway Today
Reptile Expo Fayetteville Nc
Ezel Detailing
Jeffers Funeral Home Obituaries Greeneville Tennessee
Glover Park Community Garden
Munis Self Service Brockton
Ecampus Scps Login
D2L Brightspace Clc
Craigslist List Albuquerque: Your Ultimate Guide to Buying, Selling, and Finding Everything - First Republic Craigslist
Dr. Nicole Arcy Dvm Married To Husband
Webworx Call Management
Divide Fusion Stretch Hoodie Daunenjacke für Herren | oliv
Dr Seuss Star Bellied Sneetches Pdf
Craigslist Brandon Vt
Bursar.okstate.edu
Jr Miss Naturist Pageant
Trebuchet Gizmo Answer Key
Arcane Odyssey Stat Reset Potion
The 38 Best Restaurants in Montreal
Boone County Sheriff 700 Report
Vision Source: Premier Network of Independent Optometrists
Love Words Starting with P (With Definition)
Random Animal Hybrid Generator Wheel
Menu Forest Lake – The Grillium Restaurant
Secrets Exposed: How to Test for Mold Exposure in Your Blood!
Windy Bee Favor
Rheumatoid Arthritis Statpearls
Bedbathandbeyond Flemington Nj
Ciara Rose Scalia-Hirschman
Samantha Lyne Wikipedia
Superecchll
Vcuapi
91 East Freeway Accident Today 2022
Latest Posts
Article information

Author: Neely Ledner

Last Updated:

Views: 6603

Rating: 4.1 / 5 (62 voted)

Reviews: 93% of readers found this page helpful

Author information

Name: Neely Ledner

Birthday: 1998-06-09

Address: 443 Barrows Terrace, New Jodyberg, CO 57462-5329

Phone: +2433516856029

Job: Central Legal Facilitator

Hobby: Backpacking, Jogging, Magic, Driving, Macrame, Embroidery, Foraging

Introduction: My name is Neely Ledner, I am a bright, determined, beautiful, adventurous, adventurous, spotless, calm person who loves writing and wants to share my knowledge and understanding with you.