Finite Nets, I. Numerical Invariants
1951 ◽
Vol 3
◽
pp. 94-107
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Keyword(s):
A finite net N of degree k, order n, is a geometrical object of which the precise definition will be given in §1. The geometrical language of the paper proves convenient, but other terminologies are perhaps more familiar. A finite affine (or Euclidean) plane with n points on each line is simply a net of degree n+ 1, order n (Marshall Hall [1]). A loop of order n is essentially a net of degree 3, order n (Baer [1], Bates [1]). More generally, for , a set of k —2 mutually orthogonal n ⨯ n latin squares may be used to define a net of degree k, order n (and conversely) by paralleling Bose's correspondence (Bose [1]) between affine planes and complete sets of orthogonal latin squares.
1992 ◽
Vol 61
(1)
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pp. 13-35
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Keyword(s):
1997 ◽
Vol 167-168
◽
pp. 519-525
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1992 ◽
Vol 59
(2)
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pp. 240-252
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Keyword(s):
2011 ◽
Vol 28
(2)
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pp. 30-39
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2007 ◽
Vol 53
(4)
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pp. 1444-1459
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Keyword(s):
1971 ◽
Vol 11
(1)
◽
pp. 101-105
1943 ◽
Vol 14
(4)
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pp. 401-414
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