Utilize este identificador para referenciar este registo: http://hdl.handle.net/1822/29180

 Título: About Pascal’s tetrahedron with hypercomplex entries Autor(es): Cruz, CarlaFalcão, M. I.Malonek, H. R. Palavras-chave: Pascal's tetrahedronClifford Analysis Data: 2013 Editora: AIP Publishing Revista: AIP Conference Proceedings Resumo(s): It is evident, that the properties of monogenic polynomials in $(n+1)-$real variables significantly depend on the generators $e_1, e_2, \dots, e_n$ of the underlying $2^n$-dimensional Clifford algebra $Cl_{0,n}$ over $\mathbb{R}$ and their interactions under multiplication. The case of $n=3$ is studied through the consideration of Pascal's tetrahedron with hypercomplex entries as special case of the general Pascal simplex for arbitrary $n$, which represents a useful geometric arrangement of all possible products. The different layers ${\mathcal{L}_k$ of Pascal's tetrahedron (or pyramid) are built by ordered symmetric products contained in the trinomial expansion of $(e_1+e_2+e_3)^k$, $k=0,1,\dots$. Tipo: conferencePaper Descrição: "11th International Conference of Numerical Analysis and Applied Mathematics, 21 - 27 September 2013" URI: http://hdl.handle.net/1822/29180 ISBN: 9780735411845 DOI: 10.1063/1.4825539 ISSN: 0094-243X Versão da editora: http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4825539 Arbitragem científica: yes Acesso: openAccess Aparece nas coleções: DMA - Livros de atas

Ficheiros deste registo:
Ficheiro Descrição TamanhoFormato
Cruz_Falcao_Malonek 2013Repositorio.pdf100,25 kBAdobe PDF