Krožnice in hermitske matrike

diplomsko delo

Zdenka Mihelič (Author), Matija Cencelj (Mentor), Tadej Starčič (Co-mentor)

Abstract

Vsako krožnico v kompleksni ravnini predstavimo kot rešitev neke kompleksne enačbe in s tem kot hermitsko matriko dimenzije 2 × 2. Na ta način ne dobimo vseh hermitskih matrik, zato pa razumemo hermitske matrike kot posplošene krožnice, ki vključujejo tudi premice v kompleksni ravnini. To uporabimo za obravnavo inverzije preko krožnice in stereografske projekcije.

Keywords

analitična geometrija krožnic;kompleksna števila;inverzija;stereografska projekcija;

Data

Language:	Slovenian
Year of publishing:	2016
Typology:	2.11 - Undergraduate Thesis
Organization:	UL PEF - Faculty of Education
Publisher:	[Z. Mihelič]
UDC:	51(043.2)
COBISS:	11274057
Views:	667
Downloads:	160
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Circles and hermitian matrices
Secondary abstract:	Every circle in the complex plane is presented as a solution of a complex equation and thus as a hermitian matrix of dimension 2 × 2. Not every hermitian matrix is obtained in this way, but we take the hermitian matrices as generalized circles, these include also lines in the complex plane. We use this to study inversion in a circle and the stereographic projection.
Secondary keywords:	mathematics;matematika;
File type:	application/pdf
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. v Ljubljani, Pedagoška fak., Fak. za matematiko in fiziko, Matematika in fizika
Pages:	V, 61 f.
ID:	9213955