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Apr
3
answered Does it make sense to learn any other language except English, being a mathematician?
Feb
20
revised The set of irrational numbers in $[0,1]$ contains closed intervals only?
added 400 characters in body
Feb
20
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.
Feb
20
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?
Feb
20
answered The set of irrational numbers in $[0,1]$ contains closed intervals only?
Jan
31
comment Is the way I simplify my notation?
That's perfectly acceptable.
Jan
13
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?
Jan
13
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.
Dec
1
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.
Nov
25
answered Basic set theory proof
Nov
25
answered without using l'hopital rule
Nov
18
answered Question about modular arithmetic notation
Nov
15
awarded  Yearling
Nov
14
answered Would taking a course in Linear Algebra help with working with Matlab?
Nov
14
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?
Aug
1
comment Measure Theory Book
Measure Theory by Pal Halmos is quite good, in my opinion.
Jul
30
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.
Jul
24
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 $e$, $e>a+c$.
Jul
23
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.
Jul
19
answered Are axioms assumed to be true in a formal system?