Given a sequence of values , the running maxima are the sequence of values . So, for example, given a sequence , the running maxima are . The unique values of the running maximum are sometimes known as high-water marks, so the high water marks for the above sequence are , which occur at , 2, 3, 4, and 8.
Running Maximum
See also
High-Water Mark, Local Maximum, MaximumExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Running Maximum." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RunningMaximum.html