Recursion is a programming or mathematical concept in which a function or algorithm calls itself repeatedly until a certain condition is met.
Notation for recursion is important because it allows us to clearly express and analyze recursive algorithms and functions. It also helps us understand the time and space complexity of these algorithms.
The most commonly used notations for recursion are big O notation, theta notation, and omega notation. These notations provide information about the growth rate of a recursive function or algorithm.
A recursive algorithm can be expressed in notation by analyzing the number of recursive calls made and the complexity of each call. This information is then used to determine the overall time and space complexity of the algorithm.
Notation for recursion may not accurately reflect the actual performance of a recursive algorithm in certain cases. This is because it is based on assumptions and does not take into account factors such as hardware constraints or implementation details.