chi mi sa say come ì fatto un dominio stellato??
Answer 1
Interesting… Pure non sapendolo, bluebell ha dato un’ottima risposta.
Ma allora, perché non andare directly prima tu su wikipedia? ;O)
If there is a bisogno di spiegazioni su quello che ti ha scritto bluebell, it suffices to che chiedi e sono qua (ho messo una risposta solo per tenere traccia della domanda and come to controllare se ti servono ulteriori spiegazioni!).
Goodbye goodbye!
PS i nomi non son mai a case in math: sostanzially, stellato vuol dire che l’insieme ha un point dal quale “vedi tutti gli altri in linea retta” senza mai uscire dall’insieme… Proprio come in una stella (nel senso della geometric figure), in cui la cosa è vera se ti piazzi nel “centro” della stella.
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A domain like that of the description is stellato, we have seen the perch:
I held the symmetrical quadrant (rispetto all’origine) di quello che hai escluso.
I held a point “V” a piacere in this quadrant (basterebbe che ce ne were uno che rispetta la proprietà che stiamo per dire, ma in this case ci vanno bene tutti!).
It’s chiaro che, communicate scelto un qualsiasi another “U” point of the domain, the “UV” segment for all the content of the domain. Quindi il dominio is starred.
Another example: il dominio format dai soli asi cartesiani (in R^n con n is large as vuoi). It’s a “serious” stellato (be careful, it’s a way of directing, not a definition :o)) ) is an insieme in c’è UNICO PUNTO V per il quale vale la proprietà detta sopra (et tale punto è origin).
Example of NON stellato domain:
Il piano cartesiano a cui tolgo la sola origine (or a qualsiasi “buco circolare”).
Infatti, cmq scelga at point V, the segment che collega V with its other stud at the origin (using the domain quindi).
————————
Da notare che “stellato” implies “connesso” (per polygonali or per archi), infatti per floor da un generic punto U ad un altro generic punto W dello stellato ti just passere per V (il punto “cardine”).
Quindi hai (I indicate the implicazione con ->)
convesso -> stellato -> connesso.
answer 2
of the idea no ne ho .. ho trovato questo:
In a vector space V on a site A si dice stellato, it is a point which, on the other hand, the segment which contains the set, is the internal content, is entirely contained in A.
A special case of insieme stellato is quello di insieme convesso, for which a stronger condition holds: all segments aventi para estremi a quality copy of punti sono intermente conteuti nell’insieme.
All information received is stars but not valid and vice versa.
An irrotaziionale field defined in a starry domain is a conservative.
Property [modifica]
Ogni insieme convesso is an insieme stellato. An insieme is a solo conversation and an insieme stellato rispetto for all points dell’insieme.
The chiusura de um insieme stellato is an insieme stellato.
Ogni insieme stellato is simply a connesso insieme.
The unione e l’intersezione di due insiemi stellati is not necessarily an insieme stella.
Source(s): wikipedia
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