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Unformatted text preview: R . By this method, it is possible to reduce the diference to R P ( g ( x 1 ,R )-g ( x 2 ,R )) v ( R ) For some points x 1 ,R ,x 2 ,R R and not have to worry about suprema and inma.) I did not initially realize our deFnition required all rectangles in a partition to be closed. Some people asserted that the supremum of g on a set is actually a value of g and I subtracted a point for doing so. The reason for this is that you do not know g is continuous on the large rectangle S unless you know the epsilon condition for all > 0 (and some set of rectangles). 1...
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- Spring '08