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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define absolute error.
💡 Hint: Think about the absolute value function.
Question 2
Easy
What is the main purpose of numerical methods?
💡 Hint: Consider situations where solving analytically is difficult.
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
What is the formula for calculating absolute error?
- |exact - approximate|
- exact - approximate
- approximate - exact
💡 Hint: Remember the definition of absolute error.
Question 2
True or False: A well-conditioned problem causes large changes in output for small changes in input.
- True
- False
💡 Hint: Think about how sensitive a problem's output is.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
You have an algorithm with an absolute error of 0.5 when the true value is 10. Discuss how this affects the algorithm's reliability.
💡 Hint: Think about the significance of the absolute error relative to the true value.
Question 2
In your research, you find that a numerical method is producing results that vary widely with minor changes in input data. Evaluate whether the method is well-conditioned or ill-conditioned.
💡 Hint: Assess the relationship between input changes and output stability.
Challenge and get performance evaluation