Non-associative Structures and Other Related Structures
Leonhard Euler (1707–1783) was born in Basel, Switzerland. Euler's formula is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. When its variable is the number pi, Euler's formula evaluat...
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| Taal: | Engels |
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MDPI - Multidisciplinary Digital Publishing Institute
2021
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| Online toegang: | ONIX_20210501_9783039362547_356 |
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| description | Leonhard Euler (1707–1783) was born in Basel, Switzerland. Euler's formula is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. When its variable is the number pi, Euler's formula evaluates to Euler's identity. On the other hand, the Yang–Baxter equation is considered the most beautiful equation by many scholars. In this book, we study connections between Euler’s formulas and the Yang–Baxter equation. Other interesting sections include: non-associative algebras with metagroup relations; branching functions for admissible representations of affine Lie Algebras; super-Virasoro algebras; dual numbers; UJLA structures; etc. |
| format | Online |
| id | doab-20.500.12854ir-68610 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
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| spelling | doab-20.500.12854ir-686102024-03-28T03:32:28Z Non-associative Structures and Other Related Structures Nichita, Florin Felix transcendental numbers Euler formula Yang–Baxter equation Jordan algebras Lie algebras associative algebras coalgebras Euler’s formula hyperbolic functions UJLA structures (co)derivation dual numbers operational methods umbral image techniques nonassociative algebra cohomology extension metagroup branching functions admissible representations characters affine Lie algebras super-Virasoro algebras nonassociative product smashed twisted wreath algebra separable ideal n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Leonhard Euler (1707–1783) was born in Basel, Switzerland. Euler's formula is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. When its variable is the number pi, Euler's formula evaluates to Euler's identity. On the other hand, the Yang–Baxter equation is considered the most beautiful equation by many scholars. In this book, we study connections between Euler’s formulas and the Yang–Baxter equation. Other interesting sections include: non-associative algebras with metagroup relations; branching functions for admissible representations of affine Lie Algebras; super-Virasoro algebras; dual numbers; UJLA structures; etc. 2021-05-01T15:15:47Z 2021-05-01T15:15:47Z 2020 book ONIX_20210501_9783039362547_356 9783039362547 9783039362554 https://directory.doabooks.org/handle/20.500.12854/68610 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/2372 https://mdpi.com/books/pdfview/book/2372 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03936-255-4 10.3390/books978-3-03936-255-4 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039362547 9783039362554 106 Basel, Switzerland open access |
| spellingShingle | transcendental numbers Euler formula Yang–Baxter equation Jordan algebras Lie algebras associative algebras coalgebras Euler’s formula hyperbolic functions UJLA structures (co)derivation dual numbers operational methods umbral image techniques nonassociative algebra cohomology extension metagroup branching functions admissible representations characters affine Lie algebras super-Virasoro algebras nonassociative product smashed twisted wreath algebra separable ideal n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Non-associative Structures and Other Related Structures |
| title | Non-associative Structures and Other Related Structures |
| title_full | Non-associative Structures and Other Related Structures |
| title_fullStr | Non-associative Structures and Other Related Structures |
| title_full_unstemmed | Non-associative Structures and Other Related Structures |
| title_short | Non-associative Structures and Other Related Structures |
| title_sort | non associative structures and other related structures |
| topic | transcendental numbers Euler formula Yang–Baxter equation Jordan algebras Lie algebras associative algebras coalgebras Euler’s formula hyperbolic functions UJLA structures (co)derivation dual numbers operational methods umbral image techniques nonassociative algebra cohomology extension metagroup branching functions admissible representations characters affine Lie algebras super-Virasoro algebras nonassociative product smashed twisted wreath algebra separable ideal n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | transcendental numbers Euler formula Yang–Baxter equation Jordan algebras Lie algebras associative algebras coalgebras Euler’s formula hyperbolic functions UJLA structures (co)derivation dual numbers operational methods umbral image techniques nonassociative algebra cohomology extension metagroup branching functions admissible representations characters affine Lie algebras super-Virasoro algebras nonassociative product smashed twisted wreath algebra separable ideal n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20210501_9783039362547_356 |