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Sep
1
comment Asymptotic behaviour of the logarithm
I'm a bit taken aback by the curtness of your reply, and I do not plan on responding further. But this is purely a problem of intuition. You ask why you cannot do something which you know to be impossible. Alternately, you ask why two easily proved statements do not contradict each other. You have a false impression that if a function becomes flatter, it should be bounded. I do not know why you think this. Perhaps you should think of this as sharpening your intuition. You might benefit from meditating on further counterexamples in analysis, too.
Sep
1
comment Asymptotic behaviour of the logarithm
You might find it easier to consider the function $x\mapsto \sqrt x$ instead. This also flattens out, and the slope approaches $0$. But I think it's more intuitively obvious that $\sqrt x$ is not bounded.
Aug
31
comment Prove that $\sum_{t=1}^{p-1} \frac{t^2-1}{t^2+1} \equiv 0 \pmod p$
Where did you come across this problem?
Aug
31
revised Would this proof strategy work for proving the lonely runner conjecture?
added 619 characters in body
Aug
31
comment Would this proof strategy work for proving the lonely runner conjecture?
@r.e.s. That's very elegant. I'll edit that into my answer
Aug
31
revised Would this proof strategy work for proving the lonely runner conjecture?
added 1 character in body
Aug
31
revised Would this proof strategy work for proving the lonely runner conjecture?
edited tags
Aug
31
answered Would this proof strategy work for proving the lonely runner conjecture?
Aug
31
answered How are vector space dimension and basis related?
Aug
31
comment Is the steinitz exchange lemma necessary to establish invariance of 'basis-size'?
I've added this answer because there is little more to be said than what is said in the comments. This is a community wiki answer. If you have more to add, I encourage you to add it (or write your own answer).
Aug
31
answered Is the steinitz exchange lemma necessary to establish invariance of 'basis-size'?
Aug
29
comment Issue with modular arithmetic problem
Since we've determined that this question is about integer overflow and not mathematics per se, I'm closing this question. On the other hand, the question is pretty well-written. You've used latex, clearly stated your problem and your methods, and took efforts to (mostly) format everything nicely. So although this question is being closed, know that further questions are welcome.
Aug
29
comment Can the determinant of an integer matrix with a given row be any multiple of the gcd of that row?
I like this question a lot. It's interesting, well-written, and new to me
Aug
29
revised A reason for the value of $\int_{0}^{1}\log{(x)}\log{(1-x)}\,\mathrm{d}x$
deleted 2 characters in body
Aug
29
answered Why does $e^{-x}$ approach $0$ as $x$ gets large?
Aug
29
revised Why does $e^{-x}$ approach $0$ as $x$ gets large?
deleted 5 characters in body; edited tags; edited title
Aug
29
answered Limiting value of $\frac{x^n e^x}{n!}$ as $n\to\infty$
Aug
29
answered Trivial zeroes of Zeta are simple
Aug
29
reviewed No Action Needed How to prove this decomposition
Aug
29
reviewed No Action Needed determine point in triangle