Definitions for polydisc
po·ly·disc

WikipediaRate this definition:0.0 / 0 votes

1. Polydisc

   In the theory of functions of several complex variables, a branch of mathematics, a polydisc is a Cartesian product of discs. More specifically, if we denote by D ( z , r ) {\displaystyle D(z,r)} the open disc of center z and radius r in the complex plane, then an open polydisc is a set of the form D ( z 1 , r 1 ) × ⋯ × D ( z n , r n ) . {\displaystyle D(z_{1},r_{1})\times \dots \times D(z_{n},r_{n}).} It can be equivalently written as { w = ( w 1 , w 2 , … , w n ) ∈ C n ∣ | z k − w k | < r k , for all k = 1 , … , n } . {\displaystyle \{w=(w_{1},w_{2},\dots ,w_{n})\in {\mathbf {C} }^{n}\mid \vert z_{k}-w_{k}\vert 1 {\displaystyle n>1} , open balls and open polydiscs are not biholomorphically equivalent, that is, there is no biholomorphic mapping between the two. This was proven by Poincaré in 1907 by showing that their automorphism groups have different dimensions as Lie groups.When n = 2 {\displaystyle n=2} the term bidisc is sometimes used. A polydisc is an example of logarithmically convex Reinhardt domain.

How to pronounce polydisc?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say polydisc in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of polydisc in Chaldean Numerology is: 3

2. Pythagorean Numerology

   The numerical value of polydisc in Pythagorean Numerology is: 4

References

1. ^ Wikipedia
   https://en.wikipedia.org/wiki/Polydisc