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pro vyhledávání: '"R. H. Dye"'
Autor:
R. H. Dye
Publikováno v:
Geometriae Dedicata. 74:147-163
A cap of a quadric is a set of its points whose pairwise joins are all chords. Such a cap is complete if it is not part of a larger one. Few examples of complete caps are known except for quadrics in low dimensions. In this paper, we consider the cas
Autor:
R. H. Dye
Publikováno v:
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 68:17-24
Plane curves with non-trivial collineation groups are rare: those of low order are thus interesting, and often exhibit special geometric features. The largest primitive plane group is A6. It is known by standard algebraic means that this fixes a sext
Autor:
R. W. D. Nickalls, R. H. Dye
Publikováno v:
The Mathematical Gazette. 82:86-91
The following observation by one of us (RWDN) arose while investigating Pythagorean triples (x, y, z) with y = x+1, and led to some interesting relationships which allow Pythagorean triples to be generated iteratively. In this article we obtain these
Autor:
R. H. Dye
Publikováno v:
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 66:203-222
Autor:
R. W. D. Nickalls, R. H. Dye
Publikováno v:
The Mathematical Gazette. 80:279-285
Everyone knows that the condition for the quadratic to have two equal roots, i.e. to have a repeated root, is that its discriminant should be zero. We should remark, at the outset, that we are concerned only with ordinary polynomials whose coefficien
Autor:
R. H. Dye
Publikováno v:
The Journal of the Acoustical Society of America. 99:2517-2529
The extent to which judgments of the laterality of SAM high‐frequency carriers is influenced by other SAM tones was assessed in a stimulus‐classification paradigm. The target was either a 4‐ or a 2‐kHz tone modulated at 200 Hz, and the distra
Autor:
R. H. Dye
Publikováno v:
Journal of the London Mathematical Society. 52:97-110
Autor:
R. H. Dye
Publikováno v:
Proceedings of the Edinburgh Mathematical Society. 35:437-447
Let Cr, be the intersection of n — r quadrics with a common self-polar simplex S in projective n-space [n]. Let Γr be a Cr that can be taken in coordinate form as Every C1 is a Γ1, and its points of hyperosculation have special properties: they a
Autor:
R. H. Dye
Publikováno v:
Annali di Matematica Pura ed Applicata. 158:33-50
If r divides n then the points of PG(n−1, q) can be partitioned by the (r−1)-subspaees of a classical spread Sr. The underlying finite geometry of this configuration, in particular the orbits of lines, is used to prove that if r is a proper prime
Autor:
R. H. Dye
Publikováno v:
Journal of the London Mathematical Society. :270-286