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### Difference between the tilde and big-O notations [duplicate]

Robert Sedgewick, at his Algorithms - Part 1 course in Coursera, states that people usually misunderstand the big-O notation when using it to show the order of growth of algorithms. Instead, he ...
4k views

### What is the difference between a tight Big $O$ bound, a tight Big $\Omega$ bound and a Big $\Theta$ bound? [duplicate]

I occasionally see these terms used and I'm not really sure what is meant by all of them. Is it possible for an asymptotic bound that is not Big $\Theta$ bound to be "tight"? What does it mean for ...
2k views

### What is the difference between Big(O) and small(o) notations in asymptotic analysis? [duplicate]

What is the difference between $O$ (big oh) and $o$ (small oh) notations in asymptotic analysis? Even though I understand that $o$ is used for a bound that is not tight, is it allowed to use $O$ ...
911 views

### Big Omega of 3-Sum Algorithm [duplicate]

An optimized algorithm for the 3-sum problem with an input array N has O(N^2logN) however I read that the Big Omega for this ...
675 views