Math Needed for Complexity Analysis
- Summations
- Logarithms
- logb (xy) = logb x + logb y
- logb (x/y) = logb x - logb y
- logb xa = a logb x
- logb a = logx a / logx b
- Exponentials
- a(b+c) = abac
- abc = (ab)c
- ab / ac = a(b-c)
- b = alogab
- bc = ac·logab
- Proof techniques
- Summation (addition of sequences of numbers)
- Basic probability (for average case analysis, randomised algorithms)
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