Kontakt
Ako nakupovať
Doručenie
Nákupný poradca
Capacity Functions
Angličtina
125 b
30 dní na vrátenie tovaru
Zákazníci tiež kúpili
/
Brožovaná
50.94
€
Capacity functions were born out of geometric. necessity, a decade and a half ago. Plane regions had been found of arbitrarily small area, yet with a totally disconnected boundary. Such regions seemed to defy the very spirit of Riemann's mapping theorem. They could be mapped conformally and univalently into a disk, with the single boundary point at infinity being stretched into a circle. The plausible explanation of the mystery is, of course, as follows. Under a mapping of the punctured sphere onto a disk, an area element near the punctured point would have to stretch more in the circular direction than in the radial direction, and the conformality would be destroyed. But if there is a sufficiently heavy accumulation of other boundary components, these can take over the distortion, and the mapping of the region itself remains conformal. Such phenomena made it an important problem to characterize pointlike boundary components which were unstable, i.e., hid in them selves this power of stretching into proper continua. Standard tools such as mass distributions, potentials, and transfinite diameters could not be used here, as they were subject to the vagaries of the other com ponents. The characterization had to be intrinsic, depending only on the region itself, in a conformally invariant manner. This goal was achieved in the following fashion (SARlO [10, 13]).
Informácie o knihe
Angličtina
Darujte túto knihu ešte dnes
Je to jednoduché
1 Pridajte knihu do košíka a vyberte možnosť doručiť ako darček 2 Obratom Vám zašleme poukaz 3 Knihu zašleme na adresu obdarovanéhoMohlo by vás tiež zaujímať
/
Brožovaná
131.66
€
/
Brožovaná
10.93
€
/
Brožovaná
18.22
€
/
Pevná
28.35
€
/
Brožovaná
78.59
€
Ahoj! Som Libroamiko, tvoj knižný radca.
Ako ti môžem pomôcť?