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Astyx

 Mathematics

Associated with Math.SE; for both general discussion & math qu...
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Astyx
Feb 4 16:44
@Thorgott Sure, but there might be a nice relation with another sequence that also doesn't have a nice closed form
Astyx
Feb 4 16:41
or do you mean about relations to the OEIS sequences?
Astyx
Feb 4 16:41
Do you expect anything more than the MSE post you already linked?
Astyx
Feb 4 16:39
on a post with 2 upvotes
Astyx
Feb 4 16:39
that's a nice ratio
Astyx
Feb 4 16:38
how many deleted answers?
Astyx
Feb 4 16:36
Huh, I wasn't expecting it to be that hard
Astyx
Feb 4 16:32
reflexivity isn't hard to take into account
Astyx
Feb 4 16:23
#(Ref+Symm+Transitive) is less than #(Ref+Transitive)
Astyx
Feb 4 16:22
with a minus sign but yeah, sure
Astyx
Feb 4 16:21
there are symmetries playing tricks I think
Astyx
Feb 4 16:20
@SohamSaha but you want more than equivalence relations
Astyx
Feb 4 16:18
is the idea of the formula to group in connected components, and for each component do the 1<..<n case?
Astyx
Feb 4 15:55
just to avoid confusion
Astyx
Feb 4 15:55
Yes I understood, which is why I emphasized that graphs in Desmos are a different mathematical notion than what I meant
Astyx
Feb 4 15:54
Graph theory
In mathematics and computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of vertices (also called nodes or points) which are connected by edges (also called arcs, links or lines). A distinction is made between undirected graphs, where edges link two vertices symmetrically, and directed graphs, where edges link two vertices asymmetrically. Graphs are one of the principal objects of study in discrete mathematics. == Definitions == Definitions in graph theory vary. The following...
Astyx
Feb 4 15:53
graph means something different here
Astyx
Feb 4 15:52
to be clear: what I said relied on the assumption that Thor also made, i.e. 1<2<...<n
Astyx
Feb 4 15:51
drawing the graph should make it clear
Astyx
Feb 4 15:51
Oh
Astyx
Feb 4 15:50
if a<a+1<...<b and you can go from b to a, then a, a+1, a+2, ..., b are all equivalent
Astyx
Feb 4 15:48
then it becomes a combinatorics problem
Astyx
Feb 4 15:48
depends with which relations, but if you keep 1<2<..<|A| the same approach should work
Astyx
Feb 4 15:47
This amounts to grouping nodes that are "equivalent"
Astyx
Feb 4 15:46
Now the question you are asking is what other arrows can I add until I can go from any node to any other
Astyx
Feb 4 15:45
You can draw a directed graph with nodes 1,2,3 and arrows 1->2 and 2->3
Astyx
Feb 4 15:45
This is only in this specific case
Astyx
Feb 4 15:42
1<2<3, 1=2<3, 1<2=3
Astyx
Jan 31 11:59
looks correct to me but it's been a long time since I last thought about such stuff
Astyx
Jan 31 11:55
what do you think?
Astyx
Nov 27, 2024 13:57
of the function $s, t\mapsto (X_1(s,t), X_2(s,t))$
Astyx
Nov 27, 2024 13:56
@ShaVuklia Looks like the local inverse theorem to me
Astyx
Nov 24, 2024 22:35
In particular $\frac{P(r)-P(0)}{r P(0)} \in R\otimes_{\mathbb Z}\mathbb Q$ and it is an inverse of $r$
Astyx
Nov 24, 2024 22:34
@ShaVuklia Let $r$ be in $R$. Then there is a polynomial equation $P(r)=0$ with $P(0)\ne 0$
Astyx
Nov 14, 2024 11:19
@SoumikMukherjee What about $\mathbb F_{un}$
Astyx
Nov 14, 2024 11:10
You have the p-adic topology, induced by the p-adic norm $x\mapsto p^{-\nu_p(x)}$, where $\nu_p$ is the p-adic valuation
Astyx
Nov 14, 2024 11:10
What do you mean by characterization?
Astyx
Apr 11, 2024 21:43
aaaand it's a draw
Astyx
Apr 11, 2024 21:33
what a game
Astyx
Apr 11, 2024 20:50
if they have the same sign
Astyx
Apr 11, 2024 20:28
only when his buddy eric is playing
Astyx
Apr 11, 2024 20:07
frfr
Astyx
Apr 11, 2024 20:05
who are you guys rooting for?
Astyx
Apr 11, 2024 20:04
Alireza is out right?
Astyx
Mar 28, 2024 16:13
the inter-universal category
Astyx
Mar 27, 2024 16:54
not voting is one thing, abstaining completely from political matters is another
Astyx
Mar 27, 2024 16:54
probably A should start thinking
Astyx
Mar 27, 2024 16:14
making bad jokes and not getting banned
Astyx
Mar 27, 2024 16:06
(not)
Astyx
Mar 27, 2024 16:06
the plural of "moose" is actually "meese"