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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: saddle geometry
Replies: 18   Last Post: Oct 24, 2012 12:59 AM

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W. Dale Hall

Posts: 66
Registered: 2/11/05
Re: saddle geometry
Posted: Oct 23, 2012 2:31 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Vilas Tamhane wrote:
... (stuff deleted) ...

> On Oct 23, 7:49 pm, Big Dog <big.fing....@gmail.com> wrote:
> - That if quantity A has a monotonic dependence on variable B, then A
> can have any finite value whatsoever, simply by choosing a big enough
> B
> This is true.

A consequence of this assertion is that a monotonic function cannot
be bounded.

Perhaps you've never met the inverse tangent function: it is monotonic,
yet bounded.

... (the rest deleted) ...

Dale

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