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- Thread starter inertia
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"Oh, look," he says "Scottish sheep are black!"

"No," replies the physicist, "

The mathematician sighs, rolls his eyes, and intones

"In Scotland, there exists at least one sheep,

"Oh, look," he says "Scottish sheep are black!"

"No," replies the physicist, "someScottish sheep are black."

The mathematician sighs, rolls his eyes, and intones

"In Scotland, there exists at least one sheep,at least one sideof which is black."

I'll bite. The matematician is assuming the indeterminate value theorem I presume.

Let m and M be the extreme values of a function f continuous in [a,b]. If m <= k <= M there is at least one x belonging to [a,b] such that f(x) = k.

For this to be true, f must contain

The engineer is not going to over-engineer their responses.

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