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Jun
28
comment Is there a “good” way to visualize complex vectors?
How do you like to visualize $\mathbb{R}^4$?
Jun
24
comment Are “$n$ by $n$ matrices with rank $k$” an affine algebraic variety?
Great answer, thank you! Regarding the definition, I agree with your disagreement; the book I'm reading explicitly says "this is only a temporary working definition" (the "real" definition to be given a bit later). Regarding the exercise, is there anything preventing me from taking the subspace spanned by the matrix with 1's in the first $k$ positions of the main diagonal? Finally, I'll try to get a handle on the geometric perspective in the meantime.
Jun
24
comment Are “$n$ by $n$ matrices with rank $k$” an affine algebraic variety?
Nice one, thanks!
Jun
24
accepted Are “$n$ by $n$ matrices with rank $k$” an affine algebraic variety?
Jun
24
asked Are “$n$ by $n$ matrices with rank $k$” an affine algebraic variety?
Jun
15
awarded  Altruist
Jun
12
comment Are cyclic groups always abelian?
Sounds good. And in fact, having this picture is great because it shows that each row (or column) is the previous row (or column) shifted by 1. What's more is that if we associate $e,a,b$ with $g^0, g^1, g^2$, then we can see the "addition table" structure come out.
Jun
12
comment Are cyclic groups always abelian?
This is a valid example, but giving a single example doesn't explain why we'd expect cyclic groups to be abelian in general.
Jun
12
awarded  Critic
Jun
10
comment Contemporary Mathematical Columns in Magazines
I know these aren't columns, but do resources like TopCoder or Project Euler qualify?
Jun
10
answered Fun Linear Algebra Problems
Jun
10
awarded  Organizer
Jun
10
comment How can I calculate the standard deviation knowing an event probability and a number of trials?
Good question! I hope it's okay that I removed the "probability-theory" tag.
Jun
10
revised How can I calculate the standard deviation knowing an event probability and a number of trials?
edited tags
Jun
10
awarded  Quorum
Jun
10
comment Help with understanding and studying probability
And of course, posting such questions on this site would be helpful :)
Jun
10
answered Help with understanding and studying probability
Jun
10
comment Largest Part of a Random Weak Composition
That's a cool insight; if you actually use this approximation, what can you say about the error (especially when $n$ is small)?
Jun
10
awarded  Investor
Jun
8
awarded  Nice Answer