Timeline for Unique candidate that fails
Current License: CC BY-SA 3.0
32 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 31 at 16:06 | answer | added | Chris Cunningham | timeline score: 4 | |
| Jan 1 at 3:02 | answer | added | ac15 | timeline score: 0 | |
| Jan 16, 2023 at 4:34 | comment | added | user18187 | Related to extraneous solutions | |
| Jul 26, 2022 at 0:31 | comment | added | paul garrett | In my opinion/experience, the amazing thing is that human beings' mathematical concepts are nearly correct. I presume from physical experience. | |
| Mar 6, 2021 at 16:06 | answer | added | ryang | timeline score: 8 | |
| Jan 4, 2021 at 15:06 | comment | added | user10552 | @Steven Gubkin: Sure. I’m referring to the way that Tom Apostol develops the logarithm in his Calculus textbook. Namely, he first defines the properties of a logarithm function, then shows that ‘if there is such a thing, it is this one’, and then, separately, afterwards, shows that ‘this thing works’. The first step involves only simple differentiation and integration, whereas the second step involves invoking the Substitution Theorem for Integrals, which makes it ‘harder’. | |
| Jan 4, 2021 at 0:03 | comment | added | Steven Gubkin | @EulerSpoiler could you flesh out your comment a little bit? Some take the integral as the definition of the logarithm, so I am not sure what you mean by existence and uniqueness in this context? | |
| Jan 3, 2021 at 22:59 | comment | added | user10552 | Note that your question is a special case of the question “When is proof of existence more difficult than proof of uniqueness?”, namely, when the difficulty of the proof of existence is infinite. An example of the non-infinite case is the derivation of the integral representation of the logarithm. | |
| Jul 13, 2020 at 11:51 | comment | added | David | This probably doesn't count but if you have a system of four equations with three variables, the first three giving you a unique solution and the fourth one disqualifying it, you hvae an example of a unique candidate that doesn't work | |
| May 4, 2020 at 20:34 | answer | added | Dag Oskar Madsen | timeline score: 6 | |
| Dec 24, 2019 at 21:02 | comment | added | Bill Dubuque | (Pedagogically) related Unique steps leading to a non-unique answer | |
| Sep 8, 2019 at 16:56 | answer | added | educator | timeline score: -1 | |
| Mar 17, 2019 at 1:17 | answer | added | Vandermonde | timeline score: 2 | |
| Dec 31, 2017 at 2:51 | vote | accept | Steven Gubkin | ||
| Apr 13, 2017 at 12:50 | history | edited | CommunityBot |
replaced http://matheducators.stackexchange.com/ with https://matheducators.stackexchange.com/
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| Oct 24, 2015 at 6:58 | answer | added | Vandermonde | timeline score: 4 | |
| Mar 31, 2015 at 19:49 | answer | added | albert | timeline score: 6 | |
| Mar 31, 2015 at 9:54 | answer | added | H.Durham | timeline score: 18 | |
| Mar 31, 2015 at 1:19 | answer | added | Scott Farrar | timeline score: 8 | |
| Mar 30, 2015 at 23:11 | answer | added | KCd | timeline score: 22 | |
| Feb 22, 2015 at 15:18 | answer | added | Gerald Edgar | timeline score: 31 | |
| Oct 2, 2014 at 2:20 | answer | added | David Z | timeline score: 36 | |
| Sep 21, 2014 at 16:24 | answer | added | Dag Oskar Madsen | timeline score: 65 | |
| Sep 11, 2014 at 14:08 | answer | added | paul garrett | timeline score: 10 | |
| Sep 8, 2014 at 16:48 | answer | added | user52817 | timeline score: 2 | |
| Sep 8, 2014 at 1:00 | comment | added | R.. GitHub STOP HELPING ICE | I'm making this a comment rather than an answer in hopes that someone else will fill in some specific examples, but differential equations (ODE or PDE) and Fourier analysis would be some nice sources for this kind of example. You have a lot of situations where there's a natural "candidate function" but it fails to "exist" or to be in the space your operators are acting on. | |
| Sep 7, 2014 at 13:50 | answer | added | Ilmari Karonen | timeline score: 117 | |
| Sep 7, 2014 at 12:06 | answer | added | David E Speyer | timeline score: 41 | |
| Sep 6, 2014 at 20:02 | history | edited | Steven Gubkin | CC BY-SA 3.0 |
changed title for more precision
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| Sep 6, 2014 at 10:08 | answer | added | quid | timeline score: 92 | |
| Sep 6, 2014 at 7:24 | answer | added | JRN | timeline score: 8 | |
| Sep 6, 2014 at 1:54 | history | asked | Steven Gubkin | CC BY-SA 3.0 |