Simplifying Big O - Part 2

The lecture explains how to simplify Big O notation by removing non-dominant terms and constants. It covers the analysis of a function's complexity, emphasizing the importance of identifying the dominant term. The process involves understanding nested loops and their impact on complexity. The lecture concludes with a preview of rare complexities, such as Big O of N factorial, which are less commonly encountered.

What is the first step recommended in the lecture for understanding the complexity of a function?

• Watch the entire lecture without pausing

• Pause the lecture and calculate the complexity

• Skip to the end of the lecture

• Read a textbook on complexity

In Big O notation, what should be done with constant factors?

• They should be doubled

• They should be highlighted

• They should be removed

• They should be ignored

Which term is considered dominant in the expression 3N^2 + 3N + 500 + N/2?

• N/2

• 3N

• 3N^2

• 500

What is the final Big O notation for a function with complexity 4N + 2N^2?

• O(2N^2)

• O(N)

• O(N^2)

• O(4N)

What rare complexity is introduced at the end of the lecture?

• Big O of N squared

• Big O of N log N

• Big O of N factorial

• Big O of N cubed