W Plot Diagram

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  1. W Plot Diagram Unlabeled
  2. W Plot Diagram Pdf
  3. W Plot Diagram Generator

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In this guide, you'll see how to plot a DataFrame using Pandas.

More specifically, you'll see the complete steps to plot:

  • Scatter diagram
  • Line chart
  • Bar chart
  • Pie chart

Plot a Scatter Diagram using Pandas

Scatter plots are used to depict a relationship between two variables. Here are the steps to plot a scatter diagram using Pandas.

Step 1: Prepare the data

To start, prepare the data for your scatter diagram.

For example, the following data will be used to create the scatter diagram. This data captures the relationship between two variables related to an economy:

Step 2: Create the DataFrame

Once you have your data ready, you can proceed to create the DataFrame in Python. For our example, the DataFrame would look like this:

Run the code in Python, and you'll get the following DataFrame:

Step 3: Plot the DataFrame using Pandas

Finally, you can plot the DataFrame by adding the following syntax:

Notice that you can specify the type of chart by setting kind = ‘scatter'

You'll also need to add the Matplotlib syntax to show the plot (ensure that the Matplotlib package is install in Python):

  • import matplotlib.pyplot as plt
  • plt.show()

Putting everything together:

Once you run the above code, you'll get the following scatter diagram:

Plot a Line Chart using Pandas

Line charts are often used to display trends overtime. Let's now see the steps to plot a line chart using Pandas.

Step 1: Prepare the data

To start, prepare your data for the line chart. Here is an example of a dataset that captures the unemployment rate over time:

Step 2: Create the DataFrame

Now create the DataFrame based on the above data:

This is how the DataFrame would look like:

Step 3: Plot the DataFrame using Pandas

Finally, plot the DataFrame by adding the following syntax:

You'll notice that the kind is now set to ‘line' in order to plot the line chart.

Here is the complete Python code:

And once you run the code, you'll get this line chart:

Plot a Bar Chart using Pandas

Bar charts are used to display categorical data. Let's now see how to plot a bar chart using Pandas.

Step 1: Prepare your data

As before, you'll need to prepare your data. Here, the following dataset will be used to create the bar chart:

Step 2: Create the DataFrame

W Plot Diagram

Create the DataFrame as follows:

You'll then get this DataFrame:

Step 3: Plot the DataFrame using Pandas

Finally, add the following syntax to the Python code:

In this case, set the kind = ‘bar' to plot the bar chart.

And the complete Python code is:

Run the code and you'll get this bar chart:

Plot a Pie Chart using Pandas

Step 1: Prepare your data

For demonstration purposes, the following data about the status of tasks was prepared:

Tasks Pending300
Tasks Ongoing500
Tasks Completed700

The goal is to create a pie chart based on the above data.

Step 2: Create the DataFrame

You can then create the DataFrame using this code:

W Plot Diagram Unlabeled

You'll now see this DataFrame:

Step 3: Plot the DataFrame using Pandas

Finally, plot the DataFrame by adding the following syntax:

Plot

And here is the complete Python code:

W plot diagram uml

Once you run the code, you'll get this pie chart:

You just reviewed few examples about plotting DataFrames using Pandas. A good additional source for plotting DataFrames is the Pandas Documentation.

W Plot Diagram

W Plot Diagram Pdf

A Nichols plot.

The Nichols plot is a plot used in signal processing and control design, named after American engineer Nathaniel B. Nichols.[1][2][3]

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Use in control design[edit]

Given a transfer function,

G(s)=Y(s)X(s){displaystyle G(s)={frac {Y(s)}{X(s)}}}

with the closed-loop transfer function defined as,

M(s)=G(s)1+G(s){displaystyle M(s)={frac {G(s)}{1+G(s)}}}

the Nichols plots displays 20log10⁡(|G(s)|){displaystyle 20log _{10}(|G(s)|)} versus arg⁡(G(s)){displaystyle arg(G(s))}. Loci of constant 20log10⁡(|M(s)|){displaystyle 20log _{10}(|M(s)|)} and arg⁡(M(s)){displaystyle arg(M(s))} are overlaid to allow the designer to obtain the closed loop transfer function directly from the open loop transfer function. Thus, the frequency ω{displaystyle omega } is the parameter along the curve. This plot may be compared to the Bode plot in which the two inter-related graphs - 20log10⁡(|G(s)|){displaystyle 20log _{10}(|G(s)|)} versus log10⁡(ω){displaystyle log _{10}(omega )} and arg⁡(G(s)){displaystyle arg(G(s))} versus log10⁡(ω){displaystyle log _{10}(omega )}) - are plotted.

In feedback control design, the plot is useful for assessing the stability and robustness of a linear system. This application of the Nichols plot is central to the quantitative feedback theory (QFT) of Horowitz and Sidi, which is a well known method for robust control system design.

In most cases, arg⁡(G(s)){displaystyle arg(G(s))} refers to the phase of the system's response. Although similar to a Nyquist plot, a Nichols plot is plotted in a Cartesian coordinate system while a Nyquist plot is plotted in a Polar coordinate system.

W Plot Diagram Generator

See also[edit]

References[edit]

  1. ^Isaac M. Howowitz, Synthesis of Feedback Systems, Academic Press, 1963, Lib Congress 63-12033 p. 194-198
  2. ^Boris J. Lurie and Paul J. Enright, Classical Feedback Control, Marcel Dekker, 2000, ISBN0-8247-0370-7 p. 10
  3. ^Allen Stubberud, Ivan Williams, and Joseph DeStefano, Shaums Outline Feedback and Control Systems, McGraw-Hill, 1995, ISBN0-07-017052-5 ch. 17

External links[edit]

Plot

Create the DataFrame as follows:

You'll then get this DataFrame:

Step 3: Plot the DataFrame using Pandas

Finally, add the following syntax to the Python code:

In this case, set the kind = ‘bar' to plot the bar chart.

And the complete Python code is:

Run the code and you'll get this bar chart:

Plot a Pie Chart using Pandas

Step 1: Prepare your data

For demonstration purposes, the following data about the status of tasks was prepared:

Tasks Pending300
Tasks Ongoing500
Tasks Completed700

The goal is to create a pie chart based on the above data.

Step 2: Create the DataFrame

You can then create the DataFrame using this code:

W Plot Diagram Unlabeled

You'll now see this DataFrame:

Step 3: Plot the DataFrame using Pandas

Finally, plot the DataFrame by adding the following syntax:

And here is the complete Python code:

Once you run the code, you'll get this pie chart:

You just reviewed few examples about plotting DataFrames using Pandas. A good additional source for plotting DataFrames is the Pandas Documentation.

W Plot Diagram Pdf

A Nichols plot.

The Nichols plot is a plot used in signal processing and control design, named after American engineer Nathaniel B. Nichols.[1][2][3]

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Use in control design[edit]

Given a transfer function,

G(s)=Y(s)X(s){displaystyle G(s)={frac {Y(s)}{X(s)}}}

with the closed-loop transfer function defined as,

M(s)=G(s)1+G(s){displaystyle M(s)={frac {G(s)}{1+G(s)}}}

the Nichols plots displays 20log10⁡(|G(s)|){displaystyle 20log _{10}(|G(s)|)} versus arg⁡(G(s)){displaystyle arg(G(s))}. Loci of constant 20log10⁡(|M(s)|){displaystyle 20log _{10}(|M(s)|)} and arg⁡(M(s)){displaystyle arg(M(s))} are overlaid to allow the designer to obtain the closed loop transfer function directly from the open loop transfer function. Thus, the frequency ω{displaystyle omega } is the parameter along the curve. This plot may be compared to the Bode plot in which the two inter-related graphs - 20log10⁡(|G(s)|){displaystyle 20log _{10}(|G(s)|)} versus log10⁡(ω){displaystyle log _{10}(omega )} and arg⁡(G(s)){displaystyle arg(G(s))} versus log10⁡(ω){displaystyle log _{10}(omega )}) - are plotted.

In feedback control design, the plot is useful for assessing the stability and robustness of a linear system. This application of the Nichols plot is central to the quantitative feedback theory (QFT) of Horowitz and Sidi, which is a well known method for robust control system design.

In most cases, arg⁡(G(s)){displaystyle arg(G(s))} refers to the phase of the system's response. Although similar to a Nyquist plot, a Nichols plot is plotted in a Cartesian coordinate system while a Nyquist plot is plotted in a Polar coordinate system.

W Plot Diagram Generator

See also[edit]

References[edit]

  1. ^Isaac M. Howowitz, Synthesis of Feedback Systems, Academic Press, 1963, Lib Congress 63-12033 p. 194-198
  2. ^Boris J. Lurie and Paul J. Enright, Classical Feedback Control, Marcel Dekker, 2000, ISBN0-8247-0370-7 p. 10
  3. ^Allen Stubberud, Ivan Williams, and Joseph DeStefano, Shaums Outline Feedback and Control Systems, McGraw-Hill, 1995, ISBN0-07-017052-5 ch. 17

External links[edit]

Retrieved from 'https://en.wikipedia.org/w/index.php?title=Nichols_plot&oldid=886852552'




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