Timeline for Conditional convergence and rearrangements
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Dec 9, 2018 at 10:33 | comment | added | Dave L Renfro | In case you're interested, I just posted an answer to Questions about conditionally convergent series and rearrangement of that gives a lot more details related to my 30 June 2017 comment. | |
| Jun 30, 2017 at 14:28 | comment | added | Dave L Renfro | One of Borel's first two or three papers, Sur le changement de l'ordre des termes d'une série semi-convergente, which was written when he was a first-year college undergraduate, deals with this general topic, and my impression is that the literature on it is enormously vast, especially when various summability methods and series in Banach spaces are included in the mix. If you have access to Math. Reviews, I suspect very little time would be needed to track down what has been published in the last couple of decades on this topic. | |
| S Jun 30, 2017 at 10:11 | history | suggested | Martin Sleziak |
Replaced newly created (series) tag by an already existing (sequences-and-series)
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| Jun 30, 2017 at 9:52 | review | Suggested edits | |||
| S Jun 30, 2017 at 10:11 | |||||
| Jun 21, 2017 at 3:42 | comment | added | Michael Hardy | @ZachTeitler : The particular points you mention are all devoted to the worship of the present incumbent gods, and certainly there is much to be said for that. However, those particular deities may get old and tired before we do..... I have come to think that the current market price of purity in mathematics may have risen to unsustainably high levels and a bubble may burst at some point. If we could connect this to something like engineering or genetics or big data we'd have a better assurance that it could survive the market crash. | |
| Jun 21, 2017 at 3:15 | comment | added | Zach Teitler | "Is there some point to doing any of this" is a question that I ask myself often, and so do reviewers of my grant proposals. ... Okay, less facetiously: What kind of point do you WANT it to have, relative to how much time and energy you can afford to invest? Will you settle for nothing less than an influential publication in a top journal? A modest paper in a specialized journal? An article for students about how a trigonometry problem led in an unexpected direction? Material for student projects (undergraduate senior theses, masters theses, etc.)? (NOT necessarily monotone in difficulty.) | |
| Jun 20, 2017 at 21:40 | comment | added | Gerhard Paseman | This suggests to me Galois connections (arguably purely algebraic objects) used in functional analysis. It may lend a new perspective to old topics. Since this places it far from my trajectory of study, I can only say that you will know if there is a point to it only after you've done it. Gerhard "Topos Theory Isn't Pointless Research" Paseman, 2017.06.20. | |
| Jun 20, 2017 at 21:20 | history | asked | Michael Hardy | CC BY-SA 3.0 |