Greg L
Reputation
760
Top tag
Next privilege 1,000 Rep.
Create new tags
 Apr 9 awarded Nice Answer Nov 30 awarded Nice Answer Dec 17 awarded Favorite Question Jul 2 awarded Curious May 19 awarded Yearling May 3 awarded Necromancer Mar 10 comment Why do statisticians like “$n-1$” instead of “$n$”? One non-technical explanation I've heard is that when your sample size n = 1, variance is undefined, which the division by zero cleverly ensures :) Feb 3 comment Is it faster to count to the infinite going one by one or two by two? The speed at which you approach infinity by counting is always zero, no matter how fast you count, because the distance from where you are to infinity never changes. Nov 28 awarded Notable Question Sep 3 comment How do you define the “boundary” of a topological space? +1 for use of the word "irregardless". Aug 23 comment Intuitive explanation for how could there be “more” irrational numbers than rational? What an excellent way to think about it. You can even show that the probability of "rolling" a rational number is zero under the requirement of an infinite number of digits! Jul 15 comment How many numbers can I make with subseries of $\sum_{n=1}^{\infty} \frac{1}{2^n}$? @AndresCaicedo, thanks for the reference but your link is broken, is tufts.edu/~znitecki/Subsum%20Sets%20(v9).pdf the correct paper? Jul 15 comment How many numbers can I make with subseries of $\sum_{n=1}^{\infty} \frac{1}{2^n}$? Oof, of course the interval is [0,1], I feel stupid :) Jul 15 accepted How many numbers can I make with subseries of $\sum_{n=1}^{\infty} \frac{1}{2^n}$? Jul 15 comment How many numbers can I make with subseries of $\sum_{n=1}^{\infty} \frac{1}{2^n}$? Thanks! I take it that this approach can also show that if we change 2 to any other natural number, we cannot find subseries that converge to arbitrary reals in the appropriate interval, because the numerator remains equal to 1 and so not every decimal expansion in the corresponding base can be recreated? Jul 15 comment How many numbers can I make with subseries of $\sum_{n=1}^{\infty} \frac{1}{2^n}$? Every real number in [0.5,1] is of the form 0.XXX... where X is 0 or 1, and each digit corresponds to a term in this series? Jul 15 asked How many numbers can I make with subseries of $\sum_{n=1}^{\infty} \frac{1}{2^n}$? May 9 awarded Caucus Feb 8 awarded Yearling Jan 22 comment How to read letters such as $\mathbb A$, $\mathbb B$, etc., or $\mathfrak A$, $\mathfrak B$, etc.? That's an A? I always thought it was a U...