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Soient \({f_1,f_2,\dots,f_n} : {[0,1]} \to {\R}\) continues.
Existe-t-il \(f : {[0,1]} \to {\R}\) continue telle que : \(\forall\ i,\ \int_{t=0}^1 f(t)f_i(t)\,d t = 1\) ?
Soient \({f_1,f_2,\dots,f_n} : {[0,1]} \to {\R}\) continues.
Existe-t-il \(f : {[0,1]} \to {\R}\) continue telle que : \(\forall\ i,\ \int_{t=0}^1 f(t)f_i(t)\,d t = 1\) ?