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location Monkey Island, OK
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visits member for 2 years, 4 months
seen 23 hours ago

Hello, I am a freshman at The National Autonomous University of Mexico (UNAM).

My interests are contest problems,elementary number theory, combinatorics, graph theory, linear algebra, group theory, abstract algebra and I have been meaning to learn category theory and matroids.


1d
revised Does every linearly independent set of n vectors in $R^n$ forms a basis in $R^n$?
added 1334 characters in body
1d
comment Does every linearly independent set of n vectors in $R^n$ forms a basis in $R^n$?
Hmm, there are various proofs of the replacement theorem, I shall write one down
1d
answered Does every linearly independent set of n vectors in $R^n$ forms a basis in $R^n$?
1d
answered Rectangular Bisection
2d
comment Find maximum number of nodes in a regular graph of degree 4 and diameter 2
A rather poor upper bound is $21$ since every vertex can reach at most $4$ vertices and each of those at most $4$, so $1+4+16$ is an upper bound, but I am pretty sure it isn't sharp
2d
comment Prove that $ |A∪B|=|A|+|B|-|A∩B|$
Well, I guess this question wouldn't be considered valid in a rigorous math context either.
2d
comment A complicated question
excelent title selection!
2d
comment Prove that $ |A∪B|=|A|+|B|-|A∩B|$
What is an informal proof?
2d
answered There are 10 sticks of length 1,..,10. How many triangles can be formed
2d
answered Prove that $ |A∪B|=|A|+|B|-|A∩B|$
2d
answered between what two disjoint sections we can do a Union in order to get this group of solutions?
2d
comment Normalizer and centralizer are equivalent when $p$ is the smallest prime dividing $|G|$
Where did you find this problem?
Oct
20
accepted can we have $gHg^{-1}\subsetneq H$?
Oct
20
asked can we have $gHg^{-1}\subsetneq H$?
Oct
19
comment Set of numbers which can not be represent as $a_1^n+a_2^n+…a_n^n$
Interesting question, I would say it is infinite for all $n\geq 2$
Oct
19
comment Math for Computer Science
glad I could help
Oct
19
comment $H\trianglelefteq A$ and $K\trianglelefteq B\Rightarrow HK\trianglelefteq AB$?
In other words, if this was true all subgroups would be norma
Oct
19
revised $H\trianglelefteq A$ and $K\trianglelefteq B\Rightarrow HK\trianglelefteq AB$?
added 19 characters in body
Oct
19
answered $H\trianglelefteq A$ and $K\trianglelefteq B\Rightarrow HK\trianglelefteq AB$?
Oct
19
answered Math for Computer Science