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Aug
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awarded | Popular Question |
Dec
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awarded | Popular Question |
Sep
19 |
awarded | Nice Question |
Jun
9 |
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Jun
9 |
awarded | Nice Question |
Jun
8 |
accepted | Are there examples of nonconstructive metaproofs? |
Jun
8 |
comment |
Are there examples of nonconstructive metaproofs?
Great answer. But I would still be interested in more examples, if anyone has some more. |
Jun
8 |
awarded | Supporter |
Jun
8 |
comment |
Are there examples of nonconstructive metaproofs?
This can hardly be seen as a constructive proof, as the "constructive" part is entirely divorced from the "proof" part. |
Jun
8 |
comment |
Are there examples of nonconstructive metaproofs?
Isn't there a story where a famous mathematician was assigned an open problem as homework by a devious professor, and ended up solving it? |
Jun
8 |
asked | Are there examples of nonconstructive metaproofs? |
May
16 |
comment |
Can Cantor set be the zero set of a continuous function?
Each bump in the bump function has width 1/3^n. If the height is h(n), then the largest value of the kth derivative of of the stage n bumps will be 3^{kn}h(n) times the largest value of the kth derivative of the original bump function. If you want these to converge uniformly, the exact condition you need is that 3^{kn}h(n) converges to 0. So the necessary and sufficient condition on h to make the construction work is that for all a>0, h(n) is eventually less than a^n. So yes, 2^{-2^n} will work. |
May
18 |
accepted | Given n k-element subsets of n, is there a small subset A of n which intersects them all? |
May
18 |
comment |
Given n k-element subsets of n, is there a small subset A of n which intersects them all?
Thank you very much. |
May
17 |
asked | Given n k-element subsets of n, is there a small subset A of n which intersects them all? |
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Feb
25 |
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21 |
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20 |
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Jan
20 |
accepted | Is there a computable model of ZFC? |