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Math Help - Notation Question

  1. #1
    MHF Contributor Swlabr's Avatar
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    Notation Question

    How is \Delta I defined for I some interval on \mathbb{R}? Is it just sup(I)-inf(I), that is, the Supremum of the interval minus the Infimum?

    Thanks in advance.
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  2. #2
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    Quote Originally Posted by Swlabr View Post
    How is \Delta I defined for I some interval on \mathbb{R}? Is it just sup(I)-inf(I), that is, the Supremum of the interval minus the Infimum?

    Thanks in advance.
    Yes. More specifically, any interval, I, on R can be written in one of the forms (a, b), [a, b), (a, b], or [a, b]. In all of those cases \Delta I= b- a.
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