BETA
Examples ofintermediate value theorem
Dictionary> Examples ofintermediate value theorem
intermediate value theoremisn’t in the Cambridge Dictionary yet. You can help!
Add a definition
The proof of any such result would seem to require a higher-dimensional analogue of theintermediatevaluetheorem.
From theCambridge English Corpus
These upper bounds, combined with an 'intermediatevaluetheorem' argument, then yield lower bounds on b(n) - a(n).
From theCambridge English Corpus
Theintermediatevaluetheoremestablishes the second player must be satisfied the cake is halved at some point.
From
This example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.However, as with theintermediatevaluetheorem, an alternative version survives; in constructive analysis, any "located" subset of the real line has a supremum.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.It is reminiscent of theintermediatevaluetheoremfor continuous functions.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.This is one formulation of theintermediatevaluetheorem.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.By theintermediatevaluetheorem, "g" has a zero in "a", "b"; this zero is a fixed point.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Another characterization says that theintermediatevaluetheoremholds for all polynomials in one variable over the (ordered) field.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.A proof of that fact requires theintermediatevaluetheoremfrom elementary calculus.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.These order-theoretic properties lead to a number of important results in real analysis, such as the monotone convergence theorem, theintermediatevaluetheoremand the mean value theorem.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Since the correlation is a continuous function of "c", theintermediatevaluetheoremimplies there is some particular value of "c" that makes the correlation 0.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.We can imagine the intermediate value theorem's failure as resulting from the ability of an infinitesimal segment to straddle a line.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.