intermediate value theorem


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intermediate value theorem

[‚in·tər′mēd·ē·ət ¦val·yü ′thir·əm]
(mathematics)
If ƒ(x) is a continuous real-valued function on the closed interval from a to b, then, for any y between the least upper bound and the greatest lower bound of the values of ƒ, there is an x between a and b with ƒ(x) = y.
References in periodicals archive ?
Since there is no intermediate value theorem for complex valued functions, the proof does not carry over to the case B [subset] C, though B may be regarded as two dimensional in this case.
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