Timeline for Minkowski sum, zonotopes, convex hull
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 19, 2022 at 20:04 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Mar 20, 2022 at 17:23 | answer | added | Chris | timeline score: 2 | |
| Jul 24, 2020 at 0:56 | comment | added | yupbank | Is there any constraint on $\displaystyle a$ ? if no, then the answer should be yes. based on the definition, pick \begin{gather*} b\ =\ \frac{1}{2} p_{1} +\frac{1}{2} q_{1} ,\ c\ =\ \frac{1}{2} p_{2} +\frac{1}{2} q_{2} \ \\ p_{1} ,p_{2} \ \in \ P\\ q_{1} ,q_{2} \ \in Q \end{gather*} Since $\displaystyle b,c$ and convex combination of elements from $\displaystyle P,\ Q$, then are in $\displaystyle A$, hence in $B$, Pick $\displaystyle a\ =\ \frac{1}{2}( p_{1} \ -\ p_{2}) +\ \frac{1}{2}( q_{1} -q_{2})$, Then $\displaystyle b\ =\ a+c$ | |
| Oct 22, 2019 at 15:17 | history | edited | Yachy | CC BY-SA 4.0 |
added 16 characters in body
|
| Oct 22, 2019 at 14:31 | history | edited | Yachy |
edited tags
|
|
| Oct 22, 2019 at 14:15 | history | edited | Yachy | CC BY-SA 4.0 |
added 221 characters in body
|
| Oct 22, 2019 at 14:12 | comment | added | Yachy | @WlodAA, oh, thank you for your asking, I should have explained this. A zonotope is the Minkowski sum of some (finite) segments. A typical example is parallelograms(the Minkowski sum of two segments). (I have edited now:) | |
| Oct 22, 2019 at 6:30 | comment | added | Wlod AA | What are zonotopes? Are they simply simplices of dimension $\, \le 4$? | |
| Oct 22, 2019 at 6:18 | history | edited | Yachy |
edited tags
|
|
| Oct 22, 2019 at 3:13 | history | edited | Michael Hardy | CC BY-SA 4.0 |
added 38 characters in body
|
| Oct 21, 2019 at 8:05 | review | First posts | |||
| Oct 21, 2019 at 10:01 | |||||
| Oct 21, 2019 at 8:04 | history | asked | Yachy | CC BY-SA 4.0 |