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Lexikon


projective plane


ematics> The space of ef="module.php?name=Lexikon&file=search&eid=1&query=equivalence classes">equivalence classes of ef="module.php?name=Lexikon&file=search&eid=1&query=vectors">vectors under non-zero ef="module.php?name=Lexikon&file=search&eid=1&query=scalar">scalar multiplication. elements are sets of the form ef="module.php?name=Lexikon&file=search&eid=1&query=kv: k != 0, k scalar, v != O, v a vector">kv: k != 0, k scalar, v != O, v a vector where O is the origin. v is a representative member of this equivalence class. The projective plane of a ef="module.php?name=Lexikon&file=search&eid=1&query=vector space">vector space is the collection of its 1-dimensional ef="module.php?name=Lexikon&file=search&eid=1&query=subspaces">subspaces. The properties of the vector space induce a ef="module.php?name=Lexikon&file=search&eid=1&query=topology">topology and notions of ef="module.php?name=Lexikon&file=search&eid=1&query=smoothness">smoothness on the projective plane. A projective plane is in no meaningful sense a plane and would therefore be (but isn' t) better described as a "projective space". (1996-09-28)

e="border-width:thin; border-color:#333333; border-style:dashed; padding:5px;" align="left">In addition suitable contents:
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