Definition talk:Lower Integral

"The" lower integral implies that it's unique, but looking at the definition, doesn't it depend on what $P$ we use? When the page says "all subdivisions", do we mean all possible subdivisions? --GFauxPas (talk) 16:45, 23 January 2013 (UTC)


 * No, it doesn't depend on $P$ because $P$ is just a dummy variable. The lower integral is defined as $\sup {\left\{{L \left({P}\right): P}\right.}$ is a subdivision of $\left.{\left[{a \,.\,.\, b}\right]}\right\}$. --abcxyz (talk) 16:50, 23 January 2013 (UTC)