Timeline for Linear applications notation details
Current License: CC BY-SA 3.0
15 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 13, 2017 at 1:28 | review | First posts | |||
| May 13, 2017 at 1:52 | |||||
| May 5, 2017 at 13:15 | vote | accept | Blue_Elephant | ||
| May 5, 2017 at 12:06 | comment | added | mikuszefski | Concerning $\to$ vs $\mapsto$ the first link gives some hints, but it should be clear that it is a good idea to distinguish between the mapping of a space/group etc on to a new space/group etc and the mapping of a specific member/point onto the new one. | |
| May 5, 2017 at 11:58 | comment | added | mikuszefski | The $\times$ is explained here and the link therein. | |
| May 5, 2017 at 11:19 | answer | added | daniel | timeline score: 1 | |
| May 5, 2017 at 11:08 | comment | added | Blue_Elephant | @mikuszefski This is also a kind of link I was looking for ! Thanks | |
| May 5, 2017 at 10:54 | comment | added | mikuszefski | @daniel while this is more mathematics than physics, maybe you can summarize your comments as an answer? | |
| May 5, 2017 at 10:53 | comment | added | mikuszefski | Some parts of the notation are explained here | |
| May 5, 2017 at 10:28 | comment | added | daniel | Maybe a better way of interpreting the ":" is as a symbol to introduce the map-- $\phi$ such that $\phi$ maps x to y." | |
| May 5, 2017 at 10:22 | comment | added | daniel | I'm going to say no difference. The first line is, "phi maps blah1 to blah2." The second line is (X,t) are taken/mapped by phi to (x,t). So one is talking about what $\phi$ does to the entire region, and the other about what $\phi$ does to the sub-region or state (X,x). And the : means "this is what it does;" or depending on context, "such that." | |
| May 5, 2017 at 10:13 | comment | added | Blue_Elephant | Any difference between the two arrows (one of them has a small vertical bar at its root) ? Also, $:$ means 'maps' then ? | |
| May 5, 2017 at 10:09 | comment | added | daniel | The symbol X between $R_X$ and $[t_0,t_{f}]$ is really confusing. It's just supposed to label R with the time interval. | |
| May 5, 2017 at 10:09 | comment | added | Blue_Elephant | Thanks ! What about the cross ? | |
| May 5, 2017 at 10:05 | comment | added | noah | It means $\varphi$ is a map that takes the space $R_\mathbf{X} \times [t_0,t_\mathrm{final}[$ and maps it to the new space $R_\mathbf{x} \times [t_0,t_\mathrm{final}[$, i.e. the time remains unchanged, but the coordinates will be transformed in some given way. The second line just says any pair of $\mathbf{X}$ and $t$ transformes with $\varphi(\mathbf{X},t)$ to a new pair called $(\mathbf{x},t)$. | |
| May 5, 2017 at 9:59 | history | asked | Blue_Elephant | CC BY-SA 3.0 |