The Peano-Jordan measure is named after its originators, the Italian mathematician Giuseppe Peano.
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Historically speaking, the Jordan measure came first, towards the end of the nineteenth century.
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It turns out that for a set to have Jordan measure it should be well-behaved in a certain restrictive sense.
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Michael Jordan measures success in attitudes and improvement rather than wins and losses, and the Washington Wizards are giving him more to enjoy every day.
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An indicator function of a bounded set is Riemann-integrable if and only if the set is measure-theoretically as the integral with respect to the Jordan measure.
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Other'named'measures used in various theories include : Borel measure, Jordan measure, ergodic measure, Euler measure, Gaussian measure, Baire measure, Radon measure, Young measure, and strong measure zero.
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The Senate Finance Committee, which approved the Vietnam trade pact last week, on Thursday agreed on a voice vote to send the Jordan measure to the Senate.
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For this reason, it is now more common to work with the Lebesgue measure, which is an extension of the Jordan measure to a larger class of sets.
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Well, what's going on here is that this question comes from a book which happens to develop Riemann integration on "'R "'n using the notion of Jordan measure.
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One can show that this definition of the Jordan measure of " S " is independent of the representation of " S " as a finite union of disjoint rectangles.
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