complexity function

Noun

 * 1)  A function that counts the number of distinct factors (substrings of consecutive symbols) in a string of symbols;  a function that counts the number of words of a given length.
 * 2) * 2003, Julien Cassaigne, Constructing Infinite Words of Intermediate Complexity, Masami Ito, Masafumi Toyama (editors), Developments in Language Theory: 6th International Conference, 6th International Conference, DLT 2002, Revised Papers, Springer, 2450, page 173,
 * We present two constructions of infinite words with a complexity function that grows faster than any polynomial, but slower than any exponential.
 * 1)  A function representing the computational complexity an algorithm.
 * 2) * 2003, Roberto Segala, Verification of Randomized Distributed Algorithms, Ed Brinksma, Holger Hermanns, Joost-Pieter Katoen (editors), Lectures on Formal Methods and Performance Analysis, Springer, 2090, page 253,
 * Let $$\phi$$ be a complexity function.
 * 1) * 2011, Richard Neapolitan, Kumarss Naimipour, Foundations of Algorithms, 4th Edition, Jones & Bartlett Publishers, page 31,
 * A complexity function need not have a quadratic term to be in $$O(n^2)$$. It need only eventually lie beneath some pure quadratic function on a graph. Therefore, any logarithmic or linear complexity function is in $$O(n^2)$$.
 * 1) * 2014, R. Panneerselvam, Research Methodology, 2nd Edition, PHI Learning, page 512,
 * Hence, the worst case time complexity function of Floyd's algorithm is $$O(n^3)$$.
 * Hence, the worst case time complexity function of Floyd's algorithm is $$O(n^3)$$.

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