- #1
Liedragged
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Hi, I have to approximate an irrational number x by rationals r = p/q.
Let ε>0 in ℝ, then, for almost all x exist α and r in (x-ε,x+ε) such that q ≈ c(x) ε^-α, c(x) in ℝ?
I know, from Hurwitz theorem (and a conseguence) that α>2, if exists.
Let ε>0 in ℝ, then, for almost all x exist α and r in (x-ε,x+ε) such that q ≈ c(x) ε^-α, c(x) in ℝ?
I know, from Hurwitz theorem (and a conseguence) that α>2, if exists.