complexity function

A "complexity function" quantifies the resources required to solve a problem or perform a task, commonly used in algorithm analysis.

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Definition

C1Computing Theory

(technical, academic)A mathematical function that measures the computational resources, like time or memory, required by an algorithm as the input size changes.

Example

  • The complexity function of the sorting algorithm indicates it runs in O(n log n) time.
  • Understanding the complexity function helps in comparing the efficiency of different algorithms.

C2Group Theory

(technical, academic)A function that counts the number of distinct substrings in a sequence of symbols.

Example

  • In group theory, the complexity function can help analyze the structure of symbolic sequences.
  • The complexity function of a binary string was calculated to determine its entropy.

Similar

Terms that have similar or relatively close meanings to "complexity function":

complexity theory