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author | Aayush Ranaut <aayush.ranaut@gmail.com> | 2015-12-05 11:10:16 +0530 |
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committer | Aayush Ranaut <aayush.ranaut@gmail.com> | 2015-12-05 11:10:16 +0530 |
commit | dc675a47edaeced79e13bf99d120c195a38b9ecf (patch) | |
tree | e626142c07fa41695b959b606d4337929c9669ed /asymptotic-notation.html.markdown | |
parent | 0049a475edba88f6537b2490ca9506df23b46368 (diff) | |
parent | c8475eacd742a1c8c6340121aa95f32f65421113 (diff) |
Merged and removed confusing comments in python
Diffstat (limited to 'asymptotic-notation.html.markdown')
-rw-r--r-- | asymptotic-notation.html.markdown | 26 |
1 files changed, 13 insertions, 13 deletions
diff --git a/asymptotic-notation.html.markdown b/asymptotic-notation.html.markdown index e1f961f8..a516737e 100644 --- a/asymptotic-notation.html.markdown +++ b/asymptotic-notation.html.markdown @@ -72,45 +72,45 @@ for a given function. Say `f(n)` is your algorithm runtime, and `g(n)` is an arb you are trying to relate to your algorithm. `f(n)` is O(g(n)), if for any real constant c (c > 0), `f(n)` <= `c g(n)` for every input size n (n > 0). -*Example 1* +*Example 1* ``` -f(n) = 3log n + 100 +f(n) = 3log n + 100 g(n) = log n ``` -Is `f(n)` O(g(n))? -Is `3 log n + 100` O(log n)? +Is `f(n)` O(g(n))? +Is `3 log n + 100` O(log n)? Let's look to the definition of Big-O. ``` -3log n + 100 <= c * log n +3log n + 100 <= c * log n ``` -Is there some constant c that satisfies this for all n? +Is there some constant c that satisfies this for all n? ``` -3log n + 100 <= 150 * log n, n > 2 (undefined at n = 1) +3log n + 100 <= 150 * log n, n > 2 (undefined at n = 1) ``` Yes! The definition of Big-O has been met therefore `f(n)` is O(g(n)). -*Example 2* +*Example 2* ``` -f(n) = 3*n^2 +f(n) = 3*n^2 g(n) = n ``` -Is `f(n)` O(g(n))? -Is `3 * n^2` O(n)? +Is `f(n)` O(g(n))? +Is `3 * n^2` O(n)? Let's look at the definition of Big-O. ``` -3 * n^2 <= c * n +3 * n^2 <= c * n ``` -Is there some constant c that satisfies this for all n? +Is there some constant c that satisfies this for all n? No, there isn't. `f(n)` is NOT O(g(n)). ### Big-Omega |