Mapping lines and circles onto the Riemann sphere
Educação Superior::Ciências Exatas e da Terra::Matemática One of the great miracles of mathematics is the fact that an infinitely extended plane, which is densely packed with complex numbers, can be mapped onto a sphere with radius 1/2 and hence an area of . Here you can see a decent fraction of the...
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ftbioe:oai:handle/mec/22639 2023-05-15T18:22:24+02:00 Mapping lines and circles onto the Riemann sphere Domke, Hans-Joachim 2013-03-13T12:08:54Z http://objetoseducacionais2.mec.gov.br/handle/mec/22639 en eng Wolfram Demonstrations Project MappingLinesAndCirclesOntoTheRiemannSphere.nbp Demonstration freeware using MathematicaPlayer http://demonstrations.wolfram.com/topic.html?topic=Complex+Analysis&limit=20 Complex analysis Educação Superior::Ciências Exatas e da Terra::Matemática::Análise Complexa Animação/simulação 2013 ftbioe 2020-05-21T18:14:51Z Educação Superior::Ciências Exatas e da Terra::Matemática One of the great miracles of mathematics is the fact that an infinitely extended plane, which is densely packed with complex numbers, can be mapped onto a sphere with radius 1/2 and hence an area of . Here you can see a decent fraction of the complex plane and the south pole of the Riemann sphere placed at the origin. You can observe how straight lines or circles in the complex plane are transformed into circles on the sphere. The "radius" control changes the radius of the circle while "angle" alters the angle between the straight line and the real axis. "Point" is the center of the circle or one point of the line that you can move in the part of the complex plane shown Other/Unknown Material South pole Banco Internacional de Objetos Educacionais (Ministry of Education - Brazil) South Pole |
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Open Polar |
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Banco Internacional de Objetos Educacionais (Ministry of Education - Brazil) |
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ftbioe |
language |
English |
topic |
Complex analysis Educação Superior::Ciências Exatas e da Terra::Matemática::Análise Complexa |
spellingShingle |
Complex analysis Educação Superior::Ciências Exatas e da Terra::Matemática::Análise Complexa Domke, Hans-Joachim Mapping lines and circles onto the Riemann sphere |
topic_facet |
Complex analysis Educação Superior::Ciências Exatas e da Terra::Matemática::Análise Complexa |
description |
Educação Superior::Ciências Exatas e da Terra::Matemática One of the great miracles of mathematics is the fact that an infinitely extended plane, which is densely packed with complex numbers, can be mapped onto a sphere with radius 1/2 and hence an area of . Here you can see a decent fraction of the complex plane and the south pole of the Riemann sphere placed at the origin. You can observe how straight lines or circles in the complex plane are transformed into circles on the sphere. The "radius" control changes the radius of the circle while "angle" alters the angle between the straight line and the real axis. "Point" is the center of the circle or one point of the line that you can move in the part of the complex plane shown |
format |
Other/Unknown Material |
author |
Domke, Hans-Joachim |
author_facet |
Domke, Hans-Joachim |
author_sort |
Domke, Hans-Joachim |
title |
Mapping lines and circles onto the Riemann sphere |
title_short |
Mapping lines and circles onto the Riemann sphere |
title_full |
Mapping lines and circles onto the Riemann sphere |
title_fullStr |
Mapping lines and circles onto the Riemann sphere |
title_full_unstemmed |
Mapping lines and circles onto the Riemann sphere |
title_sort |
mapping lines and circles onto the riemann sphere |
publisher |
Wolfram Demonstrations Project |
publishDate |
2013 |
url |
http://objetoseducacionais2.mec.gov.br/handle/mec/22639 |
geographic |
South Pole |
geographic_facet |
South Pole |
genre |
South pole |
genre_facet |
South pole |
op_source |
http://demonstrations.wolfram.com/topic.html?topic=Complex+Analysis&limit=20 |
op_relation |
MappingLinesAndCirclesOntoTheRiemannSphere.nbp |
op_rights |
Demonstration freeware using MathematicaPlayer |
_version_ |
1766201809788993536 |