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Asymptotic Notation - O(), o(), Ω(), ω(), and θ()
Asymptotic notations are used to represent the complexities of algorithms for asymptotic analysis. These notations are mathematical tools to represent the complexities. There are three notations that are commonly used.
Big Oh Notation
Big-Oh (O) notation gives an upper bound for a function f(n) to within a constant factor.
Little o Notations
There are some other notations present except the Big-Oh, Big-Omega and Big-Theta notations. The little o notation is one of them.
Little o notation is used to describe an upper bound that cannot be tight. In other words, loose upper bound of f(n).
Big Omega Notation
Big-Omega (Ω) notation gives a lower bound for a function f(n) to within a constant factor.
Little ω Notations
Another asymptotic notation is little omega notation. it is denoted by (ω).
Little omega (ω) notation is used to describe a loose lower bound of f(n).
Big Theta Notation
Big-Theta(Θ) notation gives bound for a function f(n) to within a constant factor.
- Difference between Big-O and Little-O Notation
- Big Oh Notation (O)
- Little Oh Notation (o)
- Comparison of memory-mapped I/O and I/O-mapped I/O
- Merits of I/O-mapped I/O and demerits of memory-mapped I/O
- Demerits of I/O-mapped I/O and merits of memory-mapped I/O
- Differentiate between programmed I/O and interrupt driven I/O.
- I/O-mapped I/O or memory-mapped I/O in 8085 Microprocessor
- I/O-mapped I/O in 8085 Microprocessor
- I/O Systems and Subsystems
- Find median of BST in O(n) time and O(1) space in C++
- Find median of BST in O(n) time and O(1) space in Python
- Rearrange positive and negative numbers in O(n) time and O(1) extra space in C++
- Find duplicates in O(n) time and O(1) extra space - Set 1 in C++
- Print left rotation of array in O(n) time and O(1) space in C Program.