Recent content by Liedragged
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Graduate Order of error for rational approximation of irrationals
Yes, there is a reason, I have to do only a theoretical analysis (not a real estimate of numerical error), so the word "error" have a restricted validity in this thread. There are "different degrees" of irrational numbers? What is the distribution of the α's? Is it concentrate around a single...- Liedragged
- Post #5
- Forum: Linear and Abstract Algebra
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Graduate Order of error for rational approximation of irrationals
I'll try to be more precise... Let x be an irrational, let ε>0, Let q = inf_A q' Where A = {r rational | r=p/q', |x-r|<ε}. For small ε, I want to know if there exist an estimate (not an inequality) for almost all x of q(ε) I know, from Hurwitz theorem that: q(ε)<1/sqrt{5}...- Liedragged
- Post #3
- Forum: Linear and Abstract Algebra
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Graduate Order of error for rational approximation of irrationals
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.- Liedragged
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- Approximation Error Rational
- Replies: 4
- Forum: Linear and Abstract Algebra
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Master in Condensed Matter Physics
Ok, I'll try to be more precise. I'm looking for a Master in Physics, and I want to know what are the most renowned Universities in Condensed Matter Physics Theory, at a European level. The problem is that a lot of graduate schools have programs in Condensed Matter, how do You choose...- Liedragged
- Post #5
- Forum: STEM Academic Advising
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Master in Condensed Matter Physics
Does anybody know something? Maybe I've been too specific...- Liedragged
- Post #2
- Forum: STEM Academic Advising
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Master in Condensed Matter Physics
Hi, I'm looking for a Master Degree (2 years) in Condensed Matter Physics (Theory oriented if possible), starting in Autumn 2012. I was thinking about Europe (e.g. Germany, France), but unfortunately I don't know the most active Universities in this field of research, for this reason I'm asking...- Liedragged
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- condensed Condensed matter Condensed matter physics Master Matter Physics
- Replies: 4
- Forum: STEM Academic Advising