minFibn

minFibn is a mathematical function that returns the smallest Fibonacci number greater than or equal to a given integer n. The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones, usually starting with 0 and 1. The sequence begins as follows: 0, 1, 1, 2, 3, 5, 8, 13, 21, and so on.

The function minFibn(n) can be defined as follows: it takes an integer n as input and returns the smallest Fibonacci number F such that F >= n. For example, if n = 4, the function would return 5, because 5 is the smallest Fibonacci number greater than or equal to 4.

To compute minFibn(n), one can generate Fibonacci numbers starting from 0 and 1 until a number greater than or equal to n is found. This can be done iteratively or recursively. The iterative approach is generally more efficient for larger values of n.

The minFibn function has applications in various fields, including computer science, where it can be used in algorithms that require Fibonacci numbers, such as dynamic programming and optimization problems. It is also used in number theory and discrete mathematics for studying the properties of Fibonacci numbers.

In summary, minFibn is a function that finds the smallest Fibonacci number greater than or equal to a given integer n. It is defined using the Fibonacci sequence and can be computed using iterative or recursive methods. The function has applications in various fields, including computer science, number theory, and discrete mathematics.