Polypolar coordination and symmetries
The polypolar system of coordinates is formed by a family of a parametrized on a radius isofocal of kf-lemniscates. As well as the classical polar system of coordinates, it characterizes a point of a plane by a polypolar radius and polypolar angle . For anyone connectedness a family isometric of cu...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Computer Science
2010-12-01
|
| Series: | Компьютерные исследования и моделирование |
| Subjects: | |
| Online Access: | http://crm.ics.org.ru/uploads/crmissues/crm2010-2-4/crm100401.pdf |
| Summary: | The polypolar system of coordinates is formed by a family of a parametrized on a radius isofocal of kf-lemniscates. As well as the classical polar system of coordinates, it characterizes a point of a plane by a polypolar radius and polypolar angle . For anyone connectedness a family isometric of curve = const - lemniscates and family gradient of curves = const - are mutually orthogonal conjugate coordinate families. The singularities of polypolar coordination, its symmetry, and also curvilinear symmetries on multifocal lemniscates are considered. |
|---|---|
| ISSN: | 2076-7633 2077-6853 |