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2d
comment Visualizing Euclidean Algorithm in $\mathbb{Q}(\sqrt{-7})$ and $\mathbb{Q}(\sqrt{-11})$ with Convex Geometry
yes but we can also choose a remainder $r$ with $-b < r < b$ (a circle with radius $b$), and by induction the algorithm will still terminate.
2d
comment Visualizing Euclidean Algorithm in $\mathbb{Q}(\sqrt{-7})$ and $\mathbb{Q}(\sqrt{-11})$ with Convex Geometry
i think you want $N(r) < N(b)$ instead of $N(r) < N(b)/2$
May
20
comment Series expansion for $x_n=x_{n-1}+\log \left(x_{n-1}\right)$
why do you think the sum $2/2 + 1/4 + 2/(9*3) + 6/(252*16) + ...$ converges ? it looks like the sequence is slowly converging to $0$ but it seems like an accident to me.
May
20
comment Series expansion for $x_n=x_{n-1}+\log \left(x_{n-1}\right)$
I have absolutely no idea what this question is asking. Where do those power of $2$ come from ???? and how did you obtain those coefficients ? ( I can't read whatever code that is)
May
18
comment Is this a spontaneous symmetry-breaking?
what is spontaneous symmetry breaking and why are $-2f(0)$ and $-2f(1)$ the only possible values for $P$ ?
May
15
comment Riemann Roch Meromorphic section on a line bundle.
yes, that looks right. I was incidentally looking at the same formula.
May
15
revised Riemann Roch Meromorphic section on a line bundle.
added 8 characters in body
May
15
answered Riemann Roch Meromorphic section on a line bundle.
May
15
comment Riemann Roch Meromorphic section on a line bundle.
To me it looks like the infinite product is $0$ for all $w$.
May
13
answered Field that is a subfield of own of its subfields
May
12
comment How to determine the non-wandering set $\Omega(T)$ (if possible at all)?
I think the nonwandering points (besides from those in L and R) are made of a (possibly infinite) stream of ..21.. coming from the left against a (possibly infinite) stream of ..12.. coming from the right, with possibly a trace of a collision where they meet.
May
12
comment How to determine the non-wandering set $\Omega(T)$ (if possible at all)?
yes, if you call this sequence $x$, then $f^3(x) =x$. For any open $U$ containing $x$, you pick $n=3$ and then $x$ is in both $U$ and $f^3(U)$
May
12
comment How to determine the non-wandering set $\Omega(T)$ (if possible at all)?
he means ...21021021021012012012012...
May
9
awarded  Necromancer
May
7
comment $CL(O_S) \cong \mathbb{Z}/3\mathbb{Z}$.
what's Cl(Os) ?
May
7
answered Find $a\in\mathbb{R}$ such that $x_{1,2,3}\in\mathbb{Z}$
May
6
comment Function not equal a.e. to continous function on real line and on circle
are you sure that for any $\lambda \in \Bbb T$ you're describing a function $R : \Bbb T \to \Bbb T$ ? what if $\lambda = i$ ??
May
4
comment Is it possible to bound recurrence functions for primes?
maybe it is a needlessly complicated and obfuscated way to describe the sequence $2^n+1$ ?
May
3
comment Prime decomposition in $\mathbb Z[x]/(x^3-x^2+x+1)$
how did a degree 3 polynomial turn into a degree 5 polynomial ?
May
1
answered Analytical solution for $\max{x_1}$ in $(x_n)_{n\in\mathbb{N}}$