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Jun
16
awarded  Enthusiast
Jun
14
awarded  Nice Answer
Jun
14
revised Smooth transition between two lines (2d)
added 188 characters in body
Jun
14
comment Smooth transition between two lines (2d)
Thanks, Ross, be sure that I like circles, too. ;-)
Jun
14
comment Algebraic proof of a trig matrix identity?
Thanks, @Jyrki, complexophobia is a legitimate concern! :-) If you have time and energy, it would be good if you could write a full-fledged answer. @Peter, thanks to you, too.
Jun
14
answered Smooth transition between two lines (2d)
Jun
14
reviewed Approve Why is $\infty^0$ indeterminate?
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)
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?
added 23 characters in body; added 124 characters in body; added 155 characters in body
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$
added 621 characters in body; deleted 2 characters in body