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INTERMEDIAT
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Definitions of intermediat in various dictionaries:
INTERMEDIAT - In mathematical analysis, the intermediate value theorem states that if a continuous function, f, with an interval, [a, b], as its domain, takes valu...
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In mathematical analysis, the intermediate value theorem states that if a continuous function, f, with an interval, [a, b], as its domain, takes values f(a) and f(b) at each end of the interval, then it also takes any value between f(a) and f(b) at some point within the interval. * This has two important corollaries: * If a continuous function has values of opposite sign inside an interval, then it has a root in that interval (Bolzano's theorem). * The image of a continuous function over an interval is itself an interval. |
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