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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the defining property of the Dirac delta function?
💡 Hint: Consider its behavior across a number line.
Question 2
Easy
What does the term 'Gaussian' refer to in Gaussian approximation?
💡 Hint: Think of the graph of the function.
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 effect of reducing ϵ in the Gaussian approximation?
- The area increases
- The area stays the same
- The area decreases
💡 Hint: Remember the defining property of the delta function.
Question 2
True or False: The Gaussian approximation is the same as the Dirac delta function.
- True
- False
💡 Hint: Consider the limits of each function.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Discuss the limitations of using the Gaussian approximation in the case of sudden impact loads in structural systems.
💡 Hint: What are the sustaining forces in an actual impact scenario?
Question 2
If a Gaussian function has a standard deviation of 1, how would you adjust it to better approximate a delta function?
💡 Hint: Focus on the properties of Gaussian functions and delta approximation.
Challenge and get performance evaluation