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| bio | website | math.stackexchange.com/users/… |
|---|---|---|
| location | ||
| age | 30 | |
| visits | member for | 1 year, 2 months |
| seen | 30 mins ago | |
| stats | profile views | 1,837 |
PhD in rings and modules
Interests:
Mathematical: ring and module theory, geometry, Lie algebra, Clifford algebra, mathematical physics
Other: programming, Wikipedia, chess
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23m |
comment |
Looking for a good counterargument against vector space decomposition. If using the topological argument, does the proof hinge only on the field being ordered and using the product topology of the order topology in $F^n$? |
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26m |
revised |
Looking for a good counterargument against vector space decomposition. added 130 characters in body |
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31m |
comment |
Looking for a good counterargument against vector space decomposition. That's interesting: so the picture is that if the segment between $u_{k+1}$ and $w_k$ hits a $V_j$ twice, then the entire segment lies in $V_j$, but the endpoints surely don't. It seems to be based on convexity. I can't tell if the solution I have uses the same mechanism or not. When I came up with it, it was result of thinking "how do I get a contradiction?" This one, on the other hand, sounds like it came from a picture :) |
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43m |
revised |
Looking for a good counterargument against vector space decomposition. added 381 characters in body |
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49m |
answered | Looking for a good counterargument against vector space decomposition. |
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14h |
comment |
Isomorphism quaternions and matrix As you can see, I had a hard time trying to figure out what you meant, and I imagine they did too. I can't figure out how your question is different from the linked question (which I suggested as a duplicate). Don't worry, if you can edit the question to clarify the question enough, I can vote to reopen it! The question is not necessarily gone forever :) |
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16h |
comment |
Isomorphism quaternions and matrix When what is equal to zero? You mean, there exists an $x\neq0$ such that $x\overline{x}=0$? I'm just guessing here... |
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16h |
comment |
Geometric Series help! What have you tried? (On any of them?) |
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16h |
comment |
Isomorphism quaternions and matrix OK, that's what I thought: $x\overline{x}$ where $x=x_0+x_1i+x_2j+x_3k$ and $\overline{x}=x_0-x_1i-x_2j-x_3k$. But my question is what do you mean "=0"? It doesn't seem likely that you mean the norm is identically zero. |
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16h |
comment |
Isomorphism quaternions and matrix Part of the problem here may be that it's hard to understand what you're asking. What does "if norm of quaternions =0" mean? What norm are you thinking of? |
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16h |
reviewed | Approve suggested edit on The dimension of the vector space of all trace-zero symmetric matrices |
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16h |
reviewed | No Action Needed Contour integration with branch cut |
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16h |
reviewed | Close Project Euler problem 432 |
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16h |
reviewed | Close List of explicit enumerations of rational numbers |
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16h |
reviewed | Close x^3 - 5x an old question I can't find |
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16h |
reviewed | Leave Open Very simple question about solving linear systems numerically by using LU decomposition |
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16h |
reviewed | No Action Needed Can we recover the following from, for example, the uniform boundedness principle |
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16h |
reviewed | No Action Needed Which function gets larger? |
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16h |
reviewed | No Action Needed Utilization difference between a multiple server, single queue and a multiple server, multiple queue system |
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16h |
reviewed | Reviewed Learning to read complex math formulas |
