Factorial and gamma functions in SciPy - Mini Project: Build & Apply

Factorial and Gamma Functions with SciPy

📖 Scenario: Imagine you work in a bakery that wants to calculate the number of ways to arrange cakes on shelves. This involves factorial calculations. Also, you want to explore a related math function called the gamma function, which extends factorials to non-integers.

🎯 Goal: You will create a small program that calculates factorials for given numbers and gamma function values for given inputs using the scipy library.

📋 What You'll Learn

Use the scipy.special module to access factorial and gamma functions

Calculate factorial for integer values

Calculate gamma function for float values

Print the results clearly

💡 Why This Matters

🌍 Real World

Factorials are used in counting arrangements and probabilities. Gamma function extends factorials to real numbers, useful in statistics and science.

💼 Career

Understanding these functions helps in data analysis, statistical modeling, and scientific computing roles.

1

Import the factorial and gamma functions

Write code to import factorial and gamma from scipy.special.

SciPy

# Import factorial and gamma from scipy.special
# Your code here

Need a hint?

Use from scipy.special import factorial, gamma to import both functions.

2

Create variables for factorial and gamma inputs

Create a variable called fact_input and set it to 5. Create another variable called gamma_input and set it to 4.5.

SciPy

from scipy.special import factorial, gamma

# Create fact_input with value 5
# Create gamma_input with value 4.5
# Your code here

Need a hint?

Assign 5 to fact_input and 4.5 to gamma_input.

3

Calculate factorial and gamma values

Use the factorial function with fact_input and store the result in fact_result. Use the gamma function with gamma_input and store the result in gamma_result.

SciPy

from scipy.special import factorial, gamma

fact_input = 5
gamma_input = 4.5

# Calculate factorial of fact_input and store in fact_result
# Calculate gamma of gamma_input and store in gamma_result
# Your code here

Need a hint?

Call factorial(fact_input) and assign to fact_result. Call gamma(gamma_input) and assign to gamma_result.

4

Print the factorial and gamma results

Print the text Factorial of 5: followed by fact_result. Then print the text Gamma of 4.5: followed by gamma_result.

SciPy

from scipy.special import factorial, gamma

fact_input = 5
gamma_input = 4.5

fact_result = factorial(fact_input)
gamma_result = gamma(gamma_input)

# Print factorial and gamma results
# Your code here

Need a hint?

Use print("Factorial of 5:", fact_result) and print("Gamma of 4.5:", gamma_result).