Timeline for Can differentiation be thought of as a function?
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 8, 2022 at 15:35 | history | edited | templatetypedef | CC BY-SA 4.0 |
Remove empty LaTeX from title
|
| May 3, 2017 at 1:03 | audit | First posts | |||
| May 3, 2017 at 1:10 | |||||
| Apr 26, 2017 at 21:11 | comment | added | Andrew D. Hwang | @leftaroundabout: That's why I left a comment, not an answer. ;) The important (and possibly surprising, and probably of interest to the OP) point is, the image of differentiation is not a simple, familiar function space. (Incidentally, the space of integrable functions is not a suitable domain for an inverse: Many integrable functions do not satisfy the intermediate value property and so are not derivatives. Separately but maybe also relevant, many derivatives are unbounded, and consequently not integrable.) | |
| Apr 26, 2017 at 13:24 | history | edited | miracle173 | CC BY-SA 3.0 |
added latex to title to remove it from Hot Network Questions
|
| Apr 26, 2017 at 13:22 | answer | added | Mikhail Katz | timeline score: 2 | |
| Apr 26, 2017 at 12:46 | comment | added | leftaroundabout | @AndrewD.Hwang well, it's not necessary to know the exact image of the operator. As long as you know a co-domain, you can use the operator. Knowing the image is important when you want to consider inverting the operator, but there it would make sense to just take the integrable functions. | |
| Apr 26, 2017 at 10:51 | comment | added | Andrew D. Hwang | Differentiation can be viewed as a function in the sense you describe. Note carefully, however, that the image of the differentiation operator is (tautologically) the set of all derivatives, a complicated space; see for example How discontinuous can a derivative be? | |
| Apr 26, 2017 at 9:06 | history | tweeted | twitter.com/StackMath/status/857158922960076801 | ||
| Apr 26, 2017 at 7:21 | comment | added | Martín-Blas Pérez Pinilla | See codecogs.com/library/maths/calculus/differential/…. | |
| Apr 26, 2017 at 5:25 | answer | added | Alex Jones | timeline score: 19 | |
| Apr 26, 2017 at 5:19 | answer | added | Wouter | timeline score: 29 | |
| Apr 26, 2017 at 5:14 | history | edited | The Cryptic Cat | CC BY-SA 3.0 |
deleted 2 characters in body; edited tags
|
| Apr 26, 2017 at 5:14 | comment | added | Mark Viola | Differentiation is an operator - it transforms a differentiable function into another function. | |
| Apr 26, 2017 at 5:14 | answer | added | anktsdmcknsy | timeline score: 2 | |
| Apr 26, 2017 at 5:11 | history | asked | The Cryptic Cat | CC BY-SA 3.0 |