Timeline for Integrals of power towers
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
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| Mar 1, 2019 at 17:13 | history | edited | Max | CC BY-SA 4.0 |
formulation and notation improved in the first part
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| Mar 1, 2019 at 17:07 | history | edited | Max | CC BY-SA 4.0 |
formulation and notation improved in the first part
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| Mar 1, 2019 at 16:36 | history | edited | Max | CC BY-SA 4.0 |
added paragraph on slope at t=1
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| Mar 1, 2019 at 14:53 | comment | added | Max | Yes I agree. (I have deleted the word "strictly". When I say "shifted to the left", I allow for a shift of distance 0.) But I think it is possible to show that for any (a,b) with 0.5 < a < b < 1, there is a positive lower bound on the fraction of all values which are in [a,b], for n large enough. | |
| Mar 1, 2019 at 14:38 | comment | added | Wojowu | No, it's not enough. Suppose we had set of values $0/n^2,1/n^2,\dots,n/n^2$. The list contains no repetitions, yet the limiting curve is everywhere $0$. | |
| Mar 1, 2019 at 14:25 | history | edited | Max | CC BY-SA 4.0 |
removed attribut "strictly" although it will apply to the limiting curve
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| Mar 1, 2019 at 14:23 | comment | added | Wojowu | You sound like you haven't read my comment. I have pointed out that there may be repeated elements in the list of integrals, which would mean the elements are merely nondecreasing, not necessarily strictly increasing. And that still doesn't say anything about the limiting curve. | |
| Mar 1, 2019 at 14:20 | comment | added | Max | The curve is increasing by construction: it results from sorting all possible values of the integral in increasing order! | |
| Mar 1, 2019 at 14:11 | comment | added | Wojowu | I don't see why the curve will be strictly increasing. Firstly, there may be parenthesisations which lead to distinct funtions which nevertheless have equal integrals. Further, even if we somehow prove this is not so, it may be that the limiting function is constant on some interval. | |
| Mar 1, 2019 at 13:06 | history | edited | Max | CC BY-SA 4.0 |
deleted 1 character in body
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| Mar 1, 2019 at 3:04 | history | edited | Max | CC BY-SA 4.0 |
added 421 characters in body
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| Mar 1, 2019 at 2:58 | history | edited | Max | CC BY-SA 4.0 |
added 421 characters in body
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| Mar 1, 2019 at 1:44 | history | edited | Max | CC BY-SA 4.0 |
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| Mar 1, 2019 at 1:36 | history | answered | Max | CC BY-SA 4.0 |