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Math Help - Open Nests

  1. #16
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    Re: Open Nests

    [] closed nest
    () open nest
    (], [) half-open nests

    [] => common point...... std theorem, sufficiency
    common point => []........ not shown anywhere, necessity

    Various sources state- (0,1/n) => no common point- demonstrates necessity of []. That is wrong. To show necessity of [] you have to show (), (], and [) never have a common point. That is not true, ie (1,1/n) => ncp and (-1/n,1/n) => cp. Therefore [] is not necessary.

    See post #6 for complete theorem on open and closed nests.

    EDIT: Though I can access MHF from my computer again, I just noticed I wasn't notified of previous post.
    Last edited by Hartlw; December 23rd 2011 at 06:59 AM.
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