Running Maximum
المؤلف:
المرجع الالكتروني للمعلوماتيه
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www.almerja.com
الجزء والصفحة:
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10-2-2021
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Running Maximum
Given a sequence of values ![<span style=]()
{a_k}_(k=1)^n" src="https://mathworld.wolfram.com/images/equations/RunningMaximum/Inline1.gif" style="height:17px; width:42px" />, the running maxima are the sequence of values ![<span style=]()
{max(a_1,...,a_k)}_(k=1)^n" src="https://mathworld.wolfram.com/images/equations/RunningMaximum/Inline2.gif" style="height:17px; width:120px" />. 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.
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