3. Advanced NumPy Operations

3.1. Introduction

In this exercise, we will use Python to explore the use of the NumPy and Matplotlib libraries.

3.2. Code Example

We will use the NumPy library to define the domain and range of a function, and Matplotlib to plot the results.

Define the Domain and Range

import numpy as np

# Define the DOMAIN of a FUNCTION
N = 55
X = np.linspace(-5, 5, N)  # -5 lower limit, 5 upper limit, N number of points to generate
# Display the values
print(X)

# Calculate the RANGE of a FUNCTION
Y = np.sin(X)
# Display the calculated values
print(Y)

Plot the Values

from matplotlib import pyplot as plt

# Plot the values of X and Y with red circles
plt.plot(X, Y, 'ro')
plt.grid(True)

# Plot the values of X and Y with blue lines
plt.plot(X, Y, 'b-')
plt.grid(True)

# Display the plot
diplay(plt, "plot_area") # Replace with plt.show() if running locally

Note

use plt.show() instead of display(plt, “plot_area”) if recreating on local machine.

Interactive Code Editor

To experiment with the code interactively, use the provided interactive code blocks below. Run all the code blocks to see the results and explore different functionalities.

import numpy as np import matplotlib.pyplot as plt # Define the domain N = 55 X = np.linspace(-5, 5, N) Y = np.sin(X) # Plotting the values plt.plot(X, Y, 'b-') plt.grid(True) print("The plot is displayed below in the field:") display(plt, "plot_area") # Replace with plt.show() if running locally

Note

Ensure you run all the code blocks provided to see the complete results and understand the functionalities demonstrated.

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