Editing Partition of an interval (section)

==Tagged partitions==
A '''tagged partition''' or Perron Partition is a partition of a given interval together with a finite sequence of numbers {{math|''t''<sub>0</sub>, …, ''t''<sub>''n'' − 1</sub>}} subject to the conditions that for each {{mvar|i}},
: {{math|''x<sub>i</sub>'' ≤ ''t<sub>i</sub>'' ≤ ''x''<sub>''i'' + 1</sub>}}.
In other words, a tagged partition is a partition together with a distinguished point of every subinterval: its mesh is defined in the same way as for an ordinary partition.<ref>{{cite book|last1=Dudley|first1=Richard M.|last2=Norvaiša|first2=Rimas|title=Concrete Functional Calculus|publisher=Springer|year=2010|isbn=9781441969507|page=2|url=https://books.google.com/books?id=fuuB59EiIagC&pg=PA2}}</ref>