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I am reading a proof of the Brouwer fixed point theorem where the author writes the following

"$w$ is continuous on $K$ and does not vanish, and therefore $\mathrm{Amp} \; w$ is defined everywhere".

The notation $\mathrm{Amp}$ is never given a meaning in the text however. What does it denote? source

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    It would help enormously if you named / linked to the source.2012-12-16
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    Are you sure it isn't a typo for map?2012-12-16
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    Maybe Amplitude?!2012-12-16
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    I found [this](http://projecteuclid.org/DPubS/Repository/1.0/Disseminate?view=body&id=pdffirstpage_1&handle=euclid.tmj/1178244835) by Googling parts of the quote. From the context, it appears to be a synonym for "argument". Further Googling reveals that sometimes "amplitude" is (or was) used in this way, but that is news to me.2012-12-16
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    @JonasMeyer, he included the source, Tohoku 1956. He does the case of two dimensions in the complex plane and is clearly using argument.2012-12-16

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