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Results tagged with real-analysis
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user 157414
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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What are the necessary conditions on $f$ if $f(x)=f(\sin(\pi x)+x)\iff x\in\Bbb{Z}$?
WARNING: INCORRECT see comments for why
If f is continuous on some connected sets it must be monotonic on them. Say it is not. Then there is some point $x^*$ such that in some of its neighborhood V su …
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