nForum - Discussion Feed (Intermediate value theorem)2024-03-28T17:44:32+00:00https://nforum.ncatlab.org/
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TobyBartels comments on "Intermediate value theorem" (44213)https://nforum.ncatlab.org/discussion/442/?Focus=44213#Comment_442132013-12-28T13:52:32+00:002024-03-28T17:44:31+00:00TobyBartelshttps://nforum.ncatlab.org/account/7/
Right, and more specifically we can construct a cc whose value is as close as we like (within ε\epsilon) of our desired value.
Right, and more specifically we can construct a whose value is as close as we like (within ) of our desired value.
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Colin Tan comments on "Intermediate value theorem" (44179)https://nforum.ncatlab.org/discussion/442/?Focus=44179#Comment_441792013-12-26T13:56:30+00:002024-03-28T17:44:31+00:00Colin Tanhttps://nforum.ncatlab.org/account/199/
I notice that Theorem 2 already implies that there some c of the unit interval such that f(c) is strictly between -1 and 1. Although we may not be able to construct all values between -1 and 1 to lie ...
I notice that Theorem 2 already implies that there some c of the unit interval such that f(c) is strictly between -1 and 1. Although we may not be able to construct all values between -1 and 1 to lie in the image of f, at least we can construct one value.
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TobyBartels comments on "Intermediate value theorem" (2864)https://nforum.ncatlab.org/discussion/442/?Focus=2864#Comment_28642009-11-25T10:38:00+00:002024-03-28T17:44:32+00:00TobyBartelshttps://nforum.ncatlab.org/account/7/
I mentioned the intermediate value theorem at pentagon decagon hexagon identity and then began an article on it.