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

Topic: Does polynomial P need to be an affine mapping
Replies: 7   Last Post: May 10, 2013 6:45 AM

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steinerartur@gmail.com

Posts: 17
Registered: 8/18/12
Does polynomial P need to be an affine mapping
Posted: May 6, 2013 7:16 PM
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Let P be a polynomial with real coefficients. Suppose there are non empty intervals I and J such that P maps surjectively the rationals of I into the rationals of J. Does this imply P is an affine mapping ?

Why or why not? So far, I couldn't come to a conclusion.

Thank you.

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