Algorithms and Complexity - Operation Counting

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Flashcards covering key concepts from the lecture on operation counting and time complexity, including constant, linear, logarithmic, and quadratic time complexities.

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How are logarithmic functions related to exponential functions?

Logarithmic functions are the inverse of exponential functions.

2
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Express 2^3 = 8 in logarithmic form.

log2(8) = 3

3
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In the general logarithmic form bc = a, what does 'b' represent?

b is the base

4
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In Case 4 (Quadratic Function), what is the time complexity?

Quadratic. The time taken by this program is quadratic with respect to input size N, because the highest order term is N2.