Micah
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 Apr3 answered Does it make sense to learn any other language except English, being a mathematician? Feb20 revised The set of irrational numbers in $[0,1]$ contains closed intervals only? added 400 characters in body Feb20 comment The set of irrational numbers in $[0,1]$ contains closed intervals only? In which case, your original concern is quite valid- there are both no zero measure closed intervals on the real line, and no closed intervals which are subsets of the irrationals, because the rationals are dense in R. Thus, not only can you not pick a collection of closed intervals in the irrationals, if you were to do so, their union would have strictly positive measure. Feb20 comment The set of irrational numbers in $[0,1]$ contains closed intervals only? So, you are asking whether there exists a zero measure subset of the irrationals between 0 and 1 expressible as the union of some number of closed intervals? Feb20 answered The set of irrational numbers in $[0,1]$ contains closed intervals only? Jan31 comment Is the way I simplify my notation? That's perfectly acceptable. Jan13 comment a theorem in Shiryaev's probability Page 516 Also, it would be best to say what $X_n$ is as well. Is it a martingale, a Markov chain, or maybe something else? Jan13 comment a theorem in Shiryaev's probability Page 516 Could you please give what $a$ is in this context? Is $\tau _a$ the stopping time associated with $X_n$ crossing $a$? I'm sorry, it's just that I don't know where my copy of the book is at this precise moment. Dec1 comment Young's inequality for convolutions If you have it available, I tend to think the most natural way to approach this would be with $H\ddot{o}lder's$inequality. Nov25 answered Basic set theory proof Nov25 answered without using l'hopital rule Nov18 answered Question about modular arithmetic notation Nov15 awarded Yearling Nov14 answered Would taking a course in Linear Algebra help with working with Matlab? Nov14 comment In the Riemann sphere 1 is not summe of holomorphics map vanishing on 0 and $\infty$ Would you be all right with using Liouville's Theorem in the proof? Aug1 comment Measure Theory Book Measure Theory by Pal Halmos is quite good, in my opinion. Jul30 comment Contrapositive Epsilon-Delta Limits? I'm not really sure what you are looking for in terms of validation, maybe what you need to do is rewrite your argument in terms of natural language, in stead of logical symbolism. Everything you wrote is correct, and your conclusion is sound, but it is possible that all of the superfluous notation is confusing you. Jul24 comment Can universal instantiation be used more than once? This may not be particularly interesting to say, but it is indeed that case that, for all real numbers $a$ there exists a real number $c$ such that, for all positive numbers $e$, $e>a+c$. Jul23 comment Does every inner product space has an orthogonal basis? Try by starting with a basis, and from that construct, one-by-one, a basis you can demonstrate to be orthogonal. Jul19 answered Are axioms assumed to be true in a formal system?