If , evaluate…

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

If s(x)=⌊log⁡2(x2+1)⌋−sgn⁡(x)s(x)=\lfloor \log_{2}(x^{2}+1)\rfloor-\operatorname{sgn}(x), evaluate s(−3)s(-\sqrt{3}).

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