Steven Gubkin
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Registered User
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I am a grad student with a wide base of interests, but my main focus now is on complex analysis and elementary mathematics education.
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17h |
awarded | ● Nice Question |
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May 21 |
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Why do knot cobordisms result in functoriality with respect to knot homologies so often? I think Neil is saying you should have some more backround information. Can you give some examples of this phenomenon? How did it arise in your work? You say often - can you explain some situations where it fails, and give your thoughts on how these situations are different? |
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May 17 |
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Is there any proof that you feel you do not “understand”? @Dustin: That is great! |
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May 17 |
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Is there any proof that you feel you do not “understand”? This proof does not seem to "clever" to me. Seems like a natural thing someone might realize if they were given 4 congrunent triangles to play with. takayaiwamoto.com/Pythagorean_Theorem/… |
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May 17 |
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Is there any proof that you feel you do not “understand”? I feel like I made a big breakthrough in my understanding of the fundamental theorem once I realized that when you use Euler's method on y'=f(x) given y(a)=0 and try to find y(b), the expression given by Euler's method is the riemann sum for the definite integral of f(x) from a to b. This shows why finding antiderivatives is linked to definite integration for me. |
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May 17 |
answered | Is there any proof that you feel you do not “understand”? |
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Mar 5 |
awarded | ● Good Question |
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Feb 21 |
awarded | ● Good Answer |
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Feb 18 |
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Another proof of the bidisc and the ball are biholomorphically inequivalent? Thanks - this is really great. Do you have a reference for this? It doesn't directly address the curvature question. I am still reasonably convinced that I didn't goof too badly in my computation, and the the sectional curvatures alone distinguish the two spaces. |
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Feb 18 |
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Another proof of the bidisc and the ball are biholomorphically inequivalent? IIRC this result is only true for smoothly bounded domains, so it does not apply to the bidisc. Isn't the holomorphic sectional curvature of the bidisc also constant? |
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Feb 11 |
awarded | ● Popular Question |
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Jan 30 |
asked | Another proof of the bidisc and the ball are biholomorphically inequivalent? |
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Nov 29 |
awarded | ● Nice Answer |
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Nov 29 |
answered | Integrating Powers without much Calculus |
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Nov 29 |
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Integrating Powers without much Calculus This is very clever, and I like it a lot, but I still feel that investigating this small sliver of area is essentially reproving the fundamental theorem of calculus in this special case. |
