If a function f(x) is constant complexity f ( x ) = O ( 1...

Nylah Hendrix

Nylah Hendrix

Answered

2022-07-09

If a function f(x) is constant complexity f ( x ) = O ( 1 ), describe C and k.
If a function f(x) is constant complexity f ( x ) = O ( 1 ), describe C and k.
This needs to be described in terms of the relation of C and k.
There exists constants C and k such that C | f ( x ) | | 1 | , for all x > k.
The above cannot be true because using the explanation from the book of discrete math:
f(x) is O(g(x)) if there are constants C and k such that x > k , | f ( x ) | C | g ( x ) | ..
So if f ( x ) = O ( 1 ), then it would mean O ( 1 ) C | g ( x ) | , or C | g ( x ) | O ( 1 ).
Instead the below statement is true.
There exists constants C and k such that C | f ( x ) | | 1 | for all x > k.

Answer & Explanation

Leslie Rollins

Leslie Rollins

Expert

2022-07-10Added 25 answers

Explanation:
I submitted my work and got it wrong, just wanted to share with others who are looking for answers to this quesion. It is:
There exists constants C and k such that | f ( x ) | C for all x > k.

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