Graduate student mostly dabbling in algebraic geometry.

Apr
21
comment Constructing the asymptotes of a hyperbola by compass and straightedge.
The last step of the algorithm is explicitly specified to work only for rectangular hyperbolas; this step does not work if the hyperbola is not rectangular.
Apr
19
comment Constructing the asymptotes of a hyperbola by compass and straightedge.
Thank you for the good reference. I'm not assuming my hyperbola to be rectangular, but it seems the construction can be made to work in the general case as well. I'll look into this later today.
Apr
19
comment Constructing the asymptotes of a hyperbola by compass and straightedge.
Good question; one is given only the hyperbola, and one can choose arbitrary points on it. So your example is perfectly allowed.
Apr
19
comment Is $N_{A_7}(H) = H$, with the following $H$?
So this reduces to a question about $A_6$, in which $H$ has index $15=3\times5$. But $A_6$ has no subgroups of index $3$ or $5$, and $A_6$ is simple.
Apr
19
comment Is $N_{A_7}(H) = H$, with the following $H$?
It is not transitive as $1$ is fixed by $H$.
Apr
19
asked Constructing the asymptotes of a hyperbola by compass and straightedge.
Apr
7
revised How many ways are there to assign $20$ different people to $3$ different rooms with at least $1$ person in each room?
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Mar
30
comment How many ways are there to assign $20$ different people to $3$ different rooms with at least $1$ person in each room?
I simply wrote $3^{20}=3\times 3^{19}$, if that's what you mean?
Mar
30
comment Proving a clique number and independence number?
@dewick49 Thank you for the correction, I misread. If the picture is all you have, then necessarily all your findings are found visually.
Mar
30
revised Proving a clique number and independence number?
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Mar
30
comment Proving a clique number and independence number?
Yes. If you have a description or characterisation of the graph other than this picture, it would be useful to include it.
Mar
30
answered Proving a clique number and independence number?
Mar
30
comment Determining if two transformations are similar using concept from Jordan Form.
Yes. What are your thoughts on the problem so far? Where did you get stuck?
Mar
30
answered What is the dimension of the orthogonal complement of a hyperplane?
Mar
30
answered How many ways are there to assign $20$ different people to $3$ different rooms with at least $1$ person in each room?
Mar
30
revised Let $L$ be a subgroup of $\mathbb{Z}^3$ of index $16$. What are the possibilities for $\mathbb{Z}^3 /L$?
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Mar
30
comment Discrete Math Induction Proof Help With Question
You then proceed correctly, but make a misstep at the second to last step: \begin{equation} 6\frac{n^2+n}{2}-\frac{6n}{2}=\frac{6n^2+6n}{2}-\frac{6n}{2}=\frac{6n^2+6n-6n}{2‌​}=\frac{6n^2}{2}=3n^2. \end{equation} ... I seem to be having some problems with LaTex myself. I hope the point is clear.
Mar
30
comment Discrete Math Induction Proof Help With Question
How do you justify the first step? It makes no sense, you are no longer summing over anything... And where did $n$ go?
Mar
30
revised Discrete Math Induction Proof Help With Question
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Mar
30
revised Let $L$ be a subgroup of $\mathbb{Z}^3$ of index $16$. What are the possibilities for $\mathbb{Z}^3 /L$?
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