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Partition of an interval
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==Norm of a partition== The '''norm''' (or '''mesh''') of the partition : {{math|''x''<sub>0</sub> < ''x''<sub>1</sub> < ''x''<sub>2</sub> < β¦ < ''x''<sub>''n''</sub>}} is the length of the longest of these subintervals<ref>{{Cite book|last=Hijab|first=Omar|title=Introduction to Calculus and Classical Analysis|publisher=Springer|year=2011|isbn=9781441994882|page=60|url=https://books.google.com/books?id=_gb9fMqur9kC&pg=PA60}}</ref><ref>{{Cite book|author=Zorich, Vladimir A.|author-link=Vladimir Zorich|title=Mathematical Analysis II|publisher=Springer|year=2004|isbn=9783540406334|page=108|url=https://books.google.com/books?id=XF8W9W-eyrgC&pg=PA108}}</ref> : {{math|max{{{abs|''x''<sub>''i''</sub> β ''x''<sub>''i''β1</sub>}} : ''i'' {{=}} 1, β¦ , ''n'' }}}.
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