منابع مشابه
CONICS, (q + 1)-ARCS, PENCIL CONCEPT OF TIME AND PSYCHOPATHOLOGY
– It is demonstrated that in the (projective plane over) Galois fields GF(q) with q = 2n and n ≥ 3 (n being a positive integer) we can define, in addition to the temporal dimensions generated by pencils of conics, also time coordinates represented by aggregates of (q+1)-arcs that are not conics. The case is illustrated by a (self-dual) pencil of conics endowed with two singular conics of which ...
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Our remark concerns the structure of the pencil of conics containing three degenerate conics of which two represent conjugate imaginary line pairs, i.e. the pencil defined by Eq. (24) in [1]. In what follows we will demonstrate that Campbell’s claim that also the third singular conic ‘must be a conjugate imaginary line pair’ is false, because this conic is, in fact, a real line pair. The proof ...
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If a visitor from Mars desired to leam the geometry of the triangle but could stay in the earth' s relatively dense atmosphere only long enough for a single lesson, earthling mathematicians would, no doubt, be hard-pressed to meet this request. In this paper, we believe that we have an optimum solution to the problem. The Kiepert conics, though seemingly unknown today, constitute a significant ...
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In this paper, we introduce discrete conics, polygonal analogues of conics. We show that discrete conics satisfy a number of nice properties analogous to those of conics, and arise naturally from several constructions, including the discrete negative pedal construction and an action of a group acting on a focus-sharing pencil of conics.
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The Grothendieck ring of k-varieties is still very poorly understood. In characteristic zero, the quotient of K0[Vark] by the ideal generated by [A ] is naturally isomorphic to the ring Z[SBk], where Z[SBk] is the free abelian group generated by the stable birational equivalence classes of smooth, projective, irreducible k-varieties and multiplication is given by the product of varieties [Lar-L...
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ژورنال
عنوان ژورنال: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
سال: 2017
ISSN: 0138-4821,2191-0383
DOI: 10.1007/s13366-017-0375-1