Experiments with integer vectors

  • The algorithm described in [ 1 ], [ 2 ] and [ 3 ] is originally intended for integer vectors. Therefore, the programming language Python is well suited to represent large integers. In the following two Python source codes „EightPoints03.txt“ and „EightPoints03-graph.txt“ an example is discribed. The algorithm is derived exclusively from position and displacement vectors. In this example eight points are pairwise coupled so that four bivectors emerge. Within the bivectors the points are displaced by the step width h. The bivectors are coupled by charges. For the displacement step width pull caused by the charges shall apply 1 << pull << h. This is described by the reciprocal coupling factor reci: h = reci * pull. If one chooses reci close to 1, the coupling is so strong that chaos can be caused. If reci >> 100 is chosen, the coupling between the bivectors is very weak, so that the interactions areThe algorithm described in [ 1 ], [ 2 ] and [ 3 ] is originally intended for integer vectors. Therefore, the programming language Python is well suited to represent large integers. In the following two Python source codes „EightPoints03.txt“ and „EightPoints03-graph.txt“ an example is discribed. The algorithm is derived exclusively from position and displacement vectors. In this example eight points are pairwise coupled so that four bivectors emerge. Within the bivectors the points are displaced by the step width h. The bivectors are coupled by charges. For the displacement step width pull caused by the charges shall apply 1 << pull << h. This is described by the reciprocal coupling factor reci: h = reci * pull. If one chooses reci close to 1, the coupling is so strong that chaos can be caused. If reci >> 100 is chosen, the coupling between the bivectors is very weak, so that the interactions are very slow. [ 1 ] https://opus4.kobv.de/opus4-ohm/frontdoor/index/index/docId/34 [ 2 ] https://opus4.kobv.de/opus4-ohm/frontdoor/index/index/docId/126 [ 3 ] https://opus4.kobv.de/opus4-ohm/frontdoor/index/index/docId/253show moreshow less

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Metadaten
Author:Wolfhard Hövel
URN:urn:nbn:de:bvb:92-opus4-4815
Document Type:Other
Language:English
Publishing Institution:Technische Hochschule Nürnberg Georg Simon Ohm
Release Date:2019/02/14
Tag:Python source code; bivector; charge; graphic
integer
GND Keyword:Python <Programmiersprache>; Quellcode; Grafik
Pagenumber:17
Dewey Decimal Classification:6 Technik, Medizin, angewandte Wissenschaften
Licence (German):Keine Lizenz - Deutsches Urheberrecht gilt
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