### Big O notation - MIT

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### algorithm - Prove that n! = O(n^n) - Stack Overflow

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### What is difference between O(n!) vs O(2^n) time complexity

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### O*NET OnLine

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Know Thy Complexities! Hi there! This webpage covers the space and time Big-**O** complexities of common algorithms used in Computer Science. When preparing for technical interviews in the past, I found myself spending hours crawling the internet putting together the best, average, and worst case complexities for search and sorting algorithms so that I wouldnt be stumped when asked about them.

### java - Example of O(n!)? - Stack Overflow

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A beginners guide to Big O notation. Big O notation is used in Computer Science to describe the performance or complexity of an algorithm. Big O specifically describes the worst-case scenario, and can be used to describe the execution time required or the space used (e.g. in …

### algorithm - Prove that n! = O(n^n) - Stack Overflow

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### O*NET OnLine

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### O(n) - Wikipedia

How efficient is an algorithm or piece of code? Efficiency covers lots of resources, including: • CPU (time) usage • memory usage • disk usage • network usage All are important but we will mostly talk about time complexity (CPU usage).

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I assume that you want to prove that the function **n**! is an element of the set **O(n**^**n**).This can be proven quite easily: Definition: A function f(**n**) is element of the set **O**(g(**n**)) if there exists a c>0 such that there exists a m such that for all k>m we have that f(k)<=c*g(k).. So, we have to compare **n**! against **n**^**n**.Lets write them one under another:

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