Timeline for Mapping exponentiation onto addition
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jul 6, 2022 at 14:58 | history | edited | LSpice | CC BY-SA 4.0 |
Clarifying that the answer is to the original version
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| Jun 20, 2022 at 8:35 | comment | added | Jojo | Usual usage for 'function' in mathematical physics is probably something like 'defined on the reals minus some subset of points, differentiable or probably $C^\infty$'. I appreciate that I'm posting on a mathematics forum now though | |
| Jun 20, 2022 at 8:24 | comment | added | Jojo | Yes OK, I'm coming from mathematical physics and I'm just getting used to being more specific about these kinds of things. I added a restriction to remove 1 from the domain of $f$ | |
| Jun 19, 2022 at 22:13 | comment | added | LSpice | @Joe, re, in the usual usage, a function $f : \mathbb R \to \mathbb R$ (or $f : (0, \infty) \to \mathbb R$) does not diverge at $1$; it is defined there. Of course it is perfectly possible to ask variants of the question where we allow various singularities, but I think you need to specify exactly what you are asking—otherwise any counterexample can be met by softening the question. @EmilJeřábek has given one example with some domain restrictions. | |
| Jun 19, 2022 at 19:36 | comment | added | Jojo | I added the restriction $a>0$ to the question. I think if $f$ diverges at $1$ then it's not necessary to have $h$ constant | |
| Jun 19, 2022 at 19:06 | history | answered | LSpice | CC BY-SA 4.0 |