Stelele matematicii 2013, problema 1
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Laurențiu Ploscaru
- Mesaje: 1237
- Membru din: Mie Mai 04, 2011 5:42 pm
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Stelele matematicii 2013, problema 1
Fie $F$ familia funcțiilor bijective crescătoare $f:[0,1]\rightarrow [0,1]$ și fie $a\in (0,1)$. Dacă $M=\{f(a)+f^{-1}(a)\mid f\in F\}$, determinați $\inf(M)$ și $\sup(M)$.
People are strange when you're a stranger,
Faces look ugly when you're alone.
Women seem wicked when you're unwanted,
Streets are uneven when you're down.
Faces look ugly when you're alone.
Women seem wicked when you're unwanted,
Streets are uneven when you're down.