Exponentials of general multivector in 3D Clifford algebras
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| Format: | Artículo científico |
| Langue: | en |
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Vilniaus Universitetas
2022
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| _version_ | 1876471690262740992 |
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| author | Adolfas Dargys |
| author_facet | Adolfas Dargys |
| contents | Exponentials of general multivector in 3D Clifford algebras Adolfas Dargys Artu¯ ras Acus Matemáticas computer aided theory Clifford (geometric) algebra exponentials of Clifford numbers Closed form expressions to calculate the exponential of a general multivector (MV) in Clifford geometric algebras (GAs)org.siir.client.entities.InlineGraphic@b4f95a are presented for org.siir.client.entities.InlineGraphic@1e60ac2 The obtained exponential formulas were applied to find exact GA trigonometric and hyperbolic functions of MV argument. We have verified that the presented exact formulas are in accord with series expansion of MV hyperbolic and trigonometric functions. The exponentials may be applied to solve GA differential equations, in signal and image processing, automatic control and robotics. 2022 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694173132011 https://www.redalyc.org/journal/6941/694173132011/ https://www.redalyc.org/journal/6941/694173132011/html/ https://www.redalyc.org/journal/6941/694173132011/694173132011.epub https://www.redalyc.org/journal/6941/694173132011/movil en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.1 Vol.27 |
| format | Artículo científico |
| id | redalyc_694173132011 |
| institution | Redalyc |
| language | en |
| publishDate | 2022 |
| publisher | Vilniaus Universitetas |
| spellingShingle | Exponentials of general multivector in 3D Clifford algebras Adolfas Dargys Matemáticas computer aided theory Clifford (geometric) algebra exponentials of Clifford numbers Exponentials of general multivector in 3D Clifford algebras Adolfas Dargys Artu¯ ras Acus Matemáticas computer aided theory Clifford (geometric) algebra exponentials of Clifford numbers Closed form expressions to calculate the exponential of a general multivector (MV) in Clifford geometric algebras (GAs)org.siir.client.entities.InlineGraphic@b4f95a are presented for org.siir.client.entities.InlineGraphic@1e60ac2 The obtained exponential formulas were applied to find exact GA trigonometric and hyperbolic functions of MV argument. We have verified that the presented exact formulas are in accord with series expansion of MV hyperbolic and trigonometric functions. The exponentials may be applied to solve GA differential equations, in signal and image processing, automatic control and robotics. 2022 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694173132011 https://www.redalyc.org/journal/6941/694173132011/ https://www.redalyc.org/journal/6941/694173132011/html/ https://www.redalyc.org/journal/6941/694173132011/694173132011.epub https://www.redalyc.org/journal/6941/694173132011/movil en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.1 Vol.27 |
| title | Exponentials of general multivector in 3D Clifford algebras |
| topic | Matemáticas computer aided theory Clifford (geometric) algebra exponentials of Clifford numbers |
| url | https://www.redalyc.org/articulo.oa?id=694173132011 https://www.redalyc.org/journal/6941/694173132011/ https://www.redalyc.org/journal/6941/694173132011/html/ https://www.redalyc.org/journal/6941/694173132011/694173132011.epub https://www.redalyc.org/journal/6941/694173132011/movil |