Module bound above, possibly multiplied by a constant:
is defined as:
E.g.:
  • . For , is enough. Otherwise, any will do, the bottom line will always catch up to the top one eventually.

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Big O notation by Wikipedia Bot 0
Big O notation is a mathematical concept used to describe the performance or complexity of an algorithm in terms of time or space requirements as the input size grows. It provides a high-level understanding of how the runtime or space requirements of an algorithm scale with increasing input sizes, allowing for a general comparison between different algorithms. In Big O notation, we express the upper bound of an algorithm's growth rate, ignoring constant factors and lower-order terms.