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Jun
14
revised Smooth transition between two lines (2d)
added 81 characters in body
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?
added 46 characters in body
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$
added 79 characters in body; added 1 characters in body; added 92 characters in body; added 3 characters in body
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?
added 7 characters in body; added 1 characters in body
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.
Jun
14
answered Maximum number of mutually orthogonal latin square pairs (definition provided)
Jun
13
comment Prove that the product of a rational and irrational number is irrational
It's surely not quite correct. For example, you missed factors of $1/z$ and $1/b$ in evaluating or "simplifying" $xy/z=a/b$. Otherwise the logic is OK.