Timeline for Sandbox for Proposed Challenges
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 16, 2020 at 1:48 | history | edited | Dannyu NDos | CC BY-SA 4.0 | added 138 characters in body |
| Jul 16, 2020 at 1:42 | history | edited | Dannyu NDos | CC BY-SA 4.0 | deleted 102 characters in body |
| Jul 16, 2020 at 1:41 | comment | added | Wheat Wizard Mod | However if you do restrict it to real numbers you run into the problem that very few functions are computable on real numbers. (The issue here is that a program on real numbers must be ready to accept an infinite string of input). I suggest restricting your domain to something like rational numbers, but note that this alters continuity and differntiability in subtle ways so it is not a simple patch. | |
| Jul 16, 2020 at 1:38 | comment | added | Wheat Wizard Mod | For example as it currently stands I could do something like just output the floating point zero regardless of input. This is approximates some cewdnw function, in fact it comes arbitrarily close to approximating an infinite number of cewdnw functions. For example just the Weierstrass function multiplied by a really small positive number. | |
| Jul 16, 2020 at 1:36 | comment | added | Wheat Wizard Mod | I really doubt that the Weierstrass function is computable since its domain is real numbers and computer programs can only compute a select few functions on arbitrary real input. The Weierstrass function is very likely computable on some restricted domains like the rational numbers. Really this question has a some issues with the fact that continuity and differentiabilty are usually discussed in the context of real numbers, but does not require that it work on actual real numbers. | |
| Jul 16, 2020 at 1:13 | history | edited | Dannyu NDos | CC BY-SA 4.0 | added 11 characters in body |
| Jul 16, 2020 at 1:07 | history | answered | Dannyu NDos | CC BY-SA 4.0 |