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age 27
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Graduate student in mathematics.


Aug
1
comment Dot product in coordinates
Ah sorry, I skipped over the part "At first you can prove that dot product is linear..." and thought it just assumed it.
Aug
1
answered Dot product in coordinates
Aug
1
comment Dot product in coordinates
How does this show that $v \cdot w = |v| |w| \cos \theta$?
Jul
31
comment Motivating Example for Algebraic Geometry/Scheme Theory
Thanks for the links, Akhil and Kevin. They are very helpful. The fact that Spec is adjoint to the global sections functor seems like a really good reason for Spec over MSpec. @Akhil: I'm going to have to get further in my study of schemes before I attempt to digest your last paragraph.
Jul
30
asked Motivating Example for Algebraic Geometry/Scheme Theory
Jul
30
revised How do you estimate the flow rate of one fluid into another like the Deep Horizon Oil leak?
edited tags
Jul
29
revised Why are Hopf algebras called quantum groups?
added 2 characters in body
Jul
29
comment Why are Hopf algebras called quantum groups?
@BBischof: thanks for the link. I'm really interested in this stuff and have seen Rosenberg's name pop-up quite a few times.
Jul
29
awarded  Organizer
Jul
29
revised Intuitive explanation of covariant, contravariant and Lie derivatives
edited tags
Jul
28
answered Intuitive explanation of covariant, contravariant and Lie derivatives
Jul
28
comment What is the difference between matrix theory and linear algebra?
This question received satisfying answers on mathoverflow and I see no reason for it to be here.
Jul
28
comment Why are Hopf algebras called quantum groups?
@BBischof I am also interested in this same issue and I do not know much more than what I said in my answer. When I said quantum space I really meant (rather circularly) a "space" whose algebra of functions is non-commutative.
Jul
28
comment What's the difference between open and closed sets?
I think this is too vague of a question and is not a very good seeded question. If the questioner knows what a topology is, then they would be able to make the question more precise. If they don't know what a topology is, then they shouldn't be asking this question.
Jul
28
answered Why are Hopf algebras called quantum groups?
Jul
28
answered Cotangent bundle
Jul
27
awarded  Beta
Jul
27
answered How to prove that a conditionally convergent series can be rearranged to sum to any real number?
Jul
27
comment Why is the integral expression for the length of a curve more complicated than the expression for area or volume of a figure rotated?
In all cases you're integrating a differential form. The cases are really not different since in each one you integrate the volume element over a manifold (a 1-manifold in the case of finding the length of the curve). The difference is that in finding the length of the curve, the volume element is induced by the metric.
Jul
27
answered What's so “natural” about the base of natural logarithms?