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location Monkey Island, OK
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visits member for 2 years, 4 months
seen 10 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.


12h
answered What is the chromatic index of a complete graph with its edges doubled?
12h
comment Prove: If $G$ has an element of order $k$ and an element of order $m$, the order of $G$ is a multiple of lcm(k,m).
Sure, but that theorem is usually proved via Lagrange.
1d
answered Prove: If $G$ has an element of order $k$ and an element of order $m$, the order of $G$ is a multiple of lcm(k,m).
1d
comment cardinality of $\mathbb R$ is the same as the cardinality of $\mathbb R^2$
Thanks I think I got it. just one question, is this independant of choice?
1d
comment cardinality of $\mathbb R$ is the same as the cardinality of $\mathbb R^2$
no, that question literally came out of the blue, the rest of the homework is full of really simple questions. Thanks
1d
asked cardinality of $\mathbb R$ is the same as the cardinality of $\mathbb R^2$
1d
answered How to calculate amount of boxes needed for X amount of items
2d
answered Proving that a graph is connected?
Oct
28
comment Maximum possible parts of a cake if cut n times
yes thank you, what I gave is for 2d, the formula for 3-d is given in kneldsepp's comment, the cake number.
Oct
26
accepted Proof for a subgroup $H$ of the finite subgroup $G$ there are at least $|H|$ elements that are not in conjugates of $H$
Oct
26
asked Proof for a subgroup $H$ of the finite subgroup $G$ there are at least $|H|$ elements that are not in conjugates of $H$
Oct
22
revised Does every linearly independent set of n vectors in $R^n$ forms a basis in $R^n$?
added 1334 characters in body
Oct
22
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
Oct
22
answered Does every linearly independent set of n vectors in $R^n$ forms a basis in $R^n$?
Oct
22
answered Rectangular Bisection
Oct
22
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
Oct
22
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.
Oct
22
comment A complicated question
excelent title selection!
Oct
22
comment Prove that $ |A∪B|=|A|+|B|-|A∩B|$
What is an informal proof?
Oct
22
answered There are 10 sticks of length 1,..,10. How many triangles can be formed