Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does it mean for a function to be absolutely integrable?
💡 Hint: Think about the convergence of the integral.
Question 2
Easy
What is one example of a condition for function existence?
💡 Hint: Consider the behavior of discontinuities.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
Which of the following is a condition for the existence of a Fourier Transform?
- Infinite discontinuities
- Absolutely integrable
- Non-integrable function
💡 Hint: Recall the integral criteria.
Question 2
True or False: A function can have an infinite number of maxima and still have a Fourier Transform.
- True
- False
💡 Hint: Think about the conditions we discussed.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider the function f(t) = 1/t for t > 1 and 0 for t <= 1. Analyze whether this function meets Dirichlet's Conditions.
💡 Hint: Evaluate both endpoints of the function interval.
Question 2
Given f(t) = cos(t^2), describe whether it meets Dirichlet’s Conditions within the interval [-T, T].
💡 Hint: Assess the frequency of oscillation and consider integration over the range.
Challenge and get performance evaluation