Asymptotic Notations: Big O, Big Omega and Big Theta Explained (With Notes)
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Course
DSA
Institution
DSA
We 'll talk a little bit about asymptotic notation. we talked about order. We talked about ordering. We have primarily 3 types of asymptic notation big O, big Theta (Θ ) and big Omega (Ω) big O is represented by capital (O), which is in our English. Big O is set to be O ( g ( n ) ) if and only if...
Asymptotic Notations: Big O, Big Omega and Big Theta
Explained (With Notes)
CodeWithHarry
We 'll talk a little bit about asymptotic notation. we talked about order. We talked about ordering.
We have primarily 3 types of asymptic notation big O, big Theta (Θ ) and big Omega (Ω) big O
is represented by capital (O), which is in our English. Big O is set to be O ( g ( n ) ) if and only if
there exist a constant ( c ) and a constant n -node such that 0 ≤ f ( n) ≤ cg (n) is O (g (N) If you
watch this video completely then I guarantee that you will understand these three notations.
Mathematically, mathematically this function can be anything. When we do analysis of
algorithms comparing any 2 algorithms then f ( n ) will be time and what is n , it 's input ok , size
of input. G ( n) is your function which will come inside the big O. O ( n²) is Anything Can Be
Algorithm it is g (n) that will be here and which is your algorithm. If you guys can find any such
constant ( C ) and ( n ) -node , then f ( n) is O ( g ( n)" This is the mathematical definition of big
O. If you ca n't find it then its is not f (n ) is O. This question is its own truth , it has validity , it
will remain valid.
This passage discusses the complexity of an algorithm, which is measured in terms of the size of
its big O graph. THe author states that the complexity of an algorithm is automatically O(n^5.),
O(n^30), and O(n^100).& G ( n ) is intersecting with f ( n ). So you will get some complex
function Alright so this is the solution to the problem So. What we have done is WE have taken a
big function and we have made it so that it is always below the original function and that's what
[UNK] means THe definition of [UNK] for a function. F(n) is the largest value of G(n) that is
bigger than f(n)..
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