skip to main content
Idioma:
Primo Search
Clear Search Box
Search in: Busca Geral
Busca Avançada
Busca por Índices

A general configuration in space of any number of dimensions analogous to the double-six of lines ordinary space

Room, Thomas Gerald

Proceedings of the Royal Society of London. Series A, Containing papers of a mathematical and physical character, 1926-06, Vol.111 (758), p.386-404

London: The Royal Society

Texto completo disponível

Citações Citado por
  • Título:
    A general configuration in space of any number of dimensions analogous to the double-six of lines ordinary space
  • Autor: Room, Thomas Gerald
  • Assuntos: Abstract spaces ; Determinants
  • É parte de: Proceedings of the Royal Society of London. Series A, Containing papers of a mathematical and physical character, 1926-06, Vol.111 (758), p.386-404
  • Notas: istex:CBB67B41027F67D69E8056723D49E288A148ABAB
    ark:/67375/V84-PG13K69P-8
    This text was harvested from a scanned image of the original document using optical character recognition (OCR) software. As such, it may contain errors. Please contact the Royal Society if you find an error you would like to see corrected. Mathematical notations produced through Infty OCR.
  • Descrição: The double-six of lines in ordinary space had attention first drawn to it by Schläfli in his discussion of the arrangement of the lines on the cubic surface. Some time later, Bordiga in a paper on the projectively generated sextic surfaced in [4], pointed out the existence of a similar double configuration of ten lines and ten planes in [4], the lines lying on the surface and the planes cutting it in cubic curves. Further work on this surface hast more recently been done by White. In a later paper still,§ White considered the generaliza­tion of these two surfaces, namely, the projectively generated surface of order ½n(n‒1) in [n], and showed that, as stated by Bordiga, there are on it ½n(n+1) lines. Although not mentioned in that paper, it is clear from the work there that there are ½n(n+1) [n‒2]s, each of which cuts the surface in a curve of order ½(n‒1)(n‒2), and meets all but one of the lines. These [n‒2]s and lines, therefore, form a double ½n(n+1) in [n]. In this paper the existence of a double configuration of greater generality than this is indicated. It is shown that if p, q and r are any positive integers with r < p and q then :— In space of r(p + q‒r)‒2 dimensions it is possible to find a family of N spaces of dimension r</italic (p‒r)‒1, and a family of N spaces of dimension r(q‒r)‒1 such that each space of either family meets all but one of the spaces of the other.
  • Editor: London: The Royal Society
  • Idioma: Inglês
Voltar para lista de resultados
Ir para página anteriorAnterior Resultado  2 AvançarIr para próxima página

  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

Buscando em bases de dados remotas. Favor aguardar.