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 Curious
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1d
reviewed Reviewed Prove Sum Approximation Theorem
1d
reviewed No Action Needed Why is zero the only infinitesimal real number?
1d
reviewed No Action Needed Oscillation - deflection from equilibrium state
1d
revised How to read this in English?
especially
2d
accepted Countably infinite and monotonically countably infinite
Jun
23
awarded  Curious
Jun
22
revised Countably infinite and monotonically countably infinite
I changed "not dense" to "nowhere dense".
Jun
22
comment Countably infinite and monotonically countably infinite
@Stefan's answer has effectively shown there is no "intermediate" set of the form I'm considering, but, yes, my problem with the current wording of my assumed question is that it should probably say "nowhere dense".
Jun
22
comment Countably infinite and monotonically countably infinite
I assume I need to specify some sort of "continuity", but that probably implies "denseness". E.g. Any set similar to $ \mathbb Q \backslash (1,2) $ has a non-dense part.
Jun
22
asked Countably infinite and monotonically countably infinite
Jun
17
comment What's the smallest number with first digit 1 that triples when this digit is moved to the end?
Yeah, given my knowledge of $142857$ and its properties, my personal answer to the OP was "OK $142857$ is an answer, is there a smaller one?"
Jun
9
comment What is the smallest unknown natural number?
Also, if it's not $1$ it is very large, given the work done on it.
Jun
9
comment What is the most unusual proof you know that $\sqrt{2}$ is irrational?
Isn't this assuming the result in the last step? Why can't this contraction happen to map a $\mathbb{Z}^2$ to another $\mathbb{Z}^2$?
Jun
5
comment Prove that there is a real number $a$ such that $\frac{1}{3} \leq \{ a^n \} \leq \frac{2}{3}$ for all $n=1,2,3,…$
Yeah, but just adjusting the final $2$ to a $3$ due to rounding, by $a^{14}$ that corresponds to a difference of $0.78370$, and for $a^{15}$ it's $4.720$, so it really does require more decimal places by then.
May
12
comment Where does the constant increase by 2 of differences between integer square values come from?
IMHO even more intuition comes from shifting the yellow squares to the top right.
May
11
revised Accidents of small $n$
Mention I'm excluding leading zeros
May
7
comment Are there rings whose multiplicative identity is not the number 1 or number 1-based?
Your ISO reference shows that notation is (meant to be) clear enough without explanation. My only point was almost every other notation was defined/explained within the answer.
May
5
comment Are there rings whose multiplicative identity is not the number 1 or number 1-based?
I am not the downvoter, but I assume $A \backslash B$ means those elements of $A$ not in $B$.
May
5
revised Surprising identities / equations
Applied math formatting
Apr
25
revised What are Catalan numbers?
typos