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Asymptotic Notations: Big O, Big Omega and Big Theta
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  • Computer Science
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  • Computer Science

asymptotic notation, which is used to analyze the time complexity of algorithms. There are three types of notation: Big O, Big Theta, and Big Omega. Big O is represented by the letter O and is used to represent an upper bound on the time complexity of an algorithm. It is written as O(g(n)) if there...

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  • March 4, 2023
  • 1
  • 2022/2023
  • Class notes
  • Sanket salvi
  • All classes

Subjects

  • asymptotic notations
  • big o
  • big omega
  • big theta

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  • Computer Science
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Asymptotic Notations: Big O, Big Omega and Big
Theta
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.

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