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 one year ago
BigO notation, how to find constants a and b? Any guide or video online?
I am not sure if I should post this in math or computer science. I am having trouble with bigo, omega, theta etc. But I want to work on them 1 by 1. I am having trouble finding guides or videos on how to find constants a and b. I kind of have an idea with a, but have a huge trouble for b :(
A lot of videos I have watched focused on the concept, but none that I saw explained how to find a and b. By finding I mean I need to know the number for a and b. It is for calculating algorithm running time.
Does anyone have a good guide on how to learn bigo?
Thanks!
Example problem:
Using the bigo definition (must specify two positive constants), prove that 4n^2  2n + 5 = O(n^2)
The a I found is 7. Which came from:
4n^2  2n + 5 <= 4n^2 2n^2 + 5n^2 = 7n^2
But I don't know how to find constant b.
 one year ago
BigO notation, how to find constants a and b? Any guide or video online? I am not sure if I should post this in math or computer science. I am having trouble with bigo, omega, theta etc. But I want to work on them 1 by 1. I am having trouble finding guides or videos on how to find constants a and b. I kind of have an idea with a, but have a huge trouble for b :( A lot of videos I have watched focused on the concept, but none that I saw explained how to find a and b. By finding I mean I need to know the number for a and b. It is for calculating algorithm running time. Does anyone have a good guide on how to learn bigo? Thanks! Example problem: Using the bigo definition (must specify two positive constants), prove that 4n^2  2n + 5 = O(n^2) The a I found is 7. Which came from: 4n^2  2n + 5 <= 4n^2 2n^2 + 5n^2 = 7n^2 But I don't know how to find constant b.

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satellite73
 one year ago
Best ResponseYou've already chosen the best response.1\(g=O(f)\) means \[\lim_{x\to \infty}\frac{f}{g}=c\] where \(c\neq 0\) if \(c=1\) you say \[g=o(f)\]

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1"finding the constants \(a\) and \(b\)" must be part of a specific problem

Miyuki
 one year ago
Best ResponseYou've already chosen the best response.0@satellite73, thanks for your quick response. I will find an example shortly and post it.

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1i still don't know what \(a\) and \(b\) mean in your definition, but there is a good example here http://en.wikipedia.org/wiki/Big_O_notation

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1maybe your \(a\) corresponds to the \(x_0\) and this example and your \(b\) is their 13
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