Why is this combination of nearest-integer functions --- surprisingly --- continuous? – math.stackexchange.com

Why is this combination of nearest-integer functions --- surprisingly --- continuous? – math.stackexchange.com

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Alright, I didn't know the best way to formulate my question. Basically, whilst doing some physics research, I naturally came upon the function $$ f(x) = 2x[x] - [x]^2 $$ where I use $[x]$ as ...

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