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Jun
14
answered Why is $\infty^0$ indeterminate?
Jun
14
comment Smooth transition between two lines (2d)
Dear Kiranu, I edited some TeX a bit. It's a piecewise linear function. It's continuous at $x=30$ (not $x=2$) because $y=2$ but not "smooth". There are infinitely many ways how to change it to a similar smooth function. I am afraid it's not clear which of them you really want and why.
Jun
14
revised Smooth transition between two lines (2d)
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Jun
14
revised How to get the cardinal direction from one location to another?
deleted 105 characters in body; added 243 characters in body
Jun
14
revised How to get the cardinal direction from one location to another?
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Jun
14
revised How to get the cardinal direction from one location to another?
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Jun
14
answered How to get the cardinal direction from one location to another?
Jun
14
comment Compute $ \lim\limits_{n \to \infty }\sin \sin \dots\sin n$
Dear @Theo, it's mutual, I would prefer not to have students or teachers who don't want to understand things and who are proud of having a limited intuition so that they always look for ways how to do things in mechanical ways that don't require intuition.
Jun
14
comment Compute $ \lim\limits_{n \to \infty }\sin \sin \dots\sin n$
Didier, do you actually claim credit for this answer, or do you admit that you copied it from my 20-minute older answer?
Jun
14
comment Solving for the implicit function $f\left(f(x)y+\frac{x}{y}\right)=xyf\left(x^2+y^2\right)$ and $f(1)=1$
Showing $f(0)=0$ is actually easy. Substitute $x=0$. Then the relation becomes $f(y f(0))=0$. If $f(0)$ were nonzero, then the argument $yf(0)$ could be any nonzero number and it would be true that $f(z)=0$ for all nonzero $z$ which contradicts $f(1)=1$.
Jun
14
revised What is Riemann-Roch in arithmetic all about?
rencently fixed
Jun
14
comment Compute $ \lim\limits_{n \to \infty }\sin \sin \dots\sin n$
No, @Sam, the statement is obviously correct for any $|x|$ smaller than one, whether it comes from sines or not. This is a rigorous proof.
Jun
14
revised Compute $ \lim\limits_{n \to \infty }\sin \sin \dots\sin n$
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Jun
14
revised Compute $ \lim\limits_{n \to \infty }\sin \sin \dots\sin n$
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Jun
14
comment Compute $ \lim\limits_{n \to \infty }\sin \sin \dots\sin n$
I got two downvotes for my answer, even though my proof and answer are obviously correct. By the way, I just upvoted your question because it's a clever limit.
Jun
14
revised Compute $ \lim\limits_{n \to \infty }\sin \sin \dots\sin n$
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Jun
14
answered Compute $ \lim\limits_{n \to \infty }\sin \sin \dots\sin n$
Jun
14
revised Algebraic proof of a trig matrix identity?
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Jun
14
answered Algebraic proof of a trig matrix identity?
Jun
14
comment Maximum number of mutually orthogonal latin square pairs (definition provided)
I may have misunderstood what it means for "all pairs to be distinct". I thought it meant that $x_{ij}\neq y_{ij}$ for all choices of $ij$. If it means something completely different, like that the same doublet $(x_{ij},y_{ij})$ can't occur for two choices of $ij$, then of course my comment is totally irrelevant.