Timeline for Examples for reasoning by analogy going wrong
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 25, 2014 at 13:58 | comment | added | Anschewski | @StevenGubkin I did not mean the integral is wrong in some way, but somewhat unexpected since for any integer other than -1, you get a monomial. The pattern I referred to is like "primitives of monomials are monomials". | |
| Jun 17, 2014 at 8:32 | answer | added | Benjamin Dickman | timeline score: 5 | |
| Jun 16, 2014 at 21:51 | comment | added | Benjamin Dickman | You might find some examples at math.stackexchange.com/questions/111440/… (I suggested ~vonbrand's answer on a different thread that was closed as a duplicate of the aforementioned: math.stackexchange.com/a/819019/37122). | |
| Jun 16, 2014 at 18:37 | answer | added | vonbrand | timeline score: 4 | |
| Jun 16, 2014 at 18:24 | comment | added | Steven Gubkin | $\int \frac{1}{x} = \log(x) $ does fit the pattern. Specifically, $\displaystyle \int_{t=1}^{t=x} t^z = \frac{x^{z+1} - 1}{z+1}$. The limit of this ratio as $z \to -1^{+}$ is in fact $\log(x)$. | |
| Jun 16, 2014 at 15:08 | history | edited | Andrew Stacey | CC BY-SA 3.0 |
Put display maths into an align environment.
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| Jun 16, 2014 at 15:03 | history | asked | Anschewski | CC BY-SA 3.0 |