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Diffstat (limited to 'asymptotic-notation.html.markdown')
| -rw-r--r-- | asymptotic-notation.html.markdown | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/asymptotic-notation.html.markdown b/asymptotic-notation.html.markdown index 6a6df968..7a7989d3 100644 --- a/asymptotic-notation.html.markdown +++ b/asymptotic-notation.html.markdown @@ -110,7 +110,7 @@ Let's look to the definition of Big-O. 3log n + 100 <= c * log n ``` -Is there some pair of constants c, n<sub>0</sub> that satisfies this for all n > <sub>0</sub>? +Is there some pair of constants c, n<sub>0</sub> that satisfies this for all n > n<sub>0</sub>? ``` 3log n + 100 <= 150 * log n, n > 2 (undefined at n = 1) @@ -155,7 +155,7 @@ Small-o, commonly written as **o**, is an Asymptotic Notation to denote the upper bound (that is not asymptotically tight) on the growth rate of runtime of an algorithm. -`f(n)` is o(g(n)), if for some real constants c (c > 0) and n<sub>0</sub> (n<sub>0</sub> > 0), `f(n)` is < `c g(n)` +`f(n)` is o(g(n)), if for all real constants c (c > 0) and n<sub>0</sub> (n<sub>0</sub> > 0), `f(n)` is < `c g(n)` for every input size n (n > n<sub>0</sub>). The definitions of O-notation and o-notation are similar. The main difference @@ -168,7 +168,7 @@ Small-omega, commonly written as **ω**, is an Asymptotic Notation to denote the lower bound (that is not asymptotically tight) on the growth rate of runtime of an algorithm. -`f(n)` is ω(g(n)), if for some real constants c (c > 0) and n<sub>0</sub> (n<sub>0</sub> > 0), `f(n)` is > `c g(n)` +`f(n)` is ω(g(n)), if for all real constants c (c > 0) and n<sub>0</sub> (n<sub>0</sub> > 0), `f(n)` is > `c g(n)` for every input size n (n > n<sub>0</sub>). The definitions of Ω-notation and ω-notation are similar. The main difference |