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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 what values you compare to find the difference.
Question 2
Easy
What does relative error measure?
💡 Hint: Recall how absolute error is expressed in relation to the exact value.
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 absolute error?
- A. Difference between computed value and exact value
- B. Difference between two approximate values
- C. Error in algorithm design
💡 Hint: Focus on how the term 'absolute' relates to the nature of the error.
Question 2
True or False: A well-conditioned problem is one where small changes in input lead to large changes in output.
- True
- False
💡 Hint: Think about the sensitivity in relation to small input changes.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given an exact solution of 15.7 and a computed solution of 15.3, calculate both absolute and relative errors. Discuss their significance in a practical context.
💡 Hint: Apply your formulas and interpret your results in terms of real-world applications.
Question 2
Discuss a scenario in which an algorithm may become unstable when solving an ill-conditioned problem. What steps can be taken to secure stability?
💡 Hint: Think critically about how instability can arise and possible remedies.
Challenge and get performance evaluation