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the Symmetric Group Acting on Ordered Pairs and on Ordered Triples
"... Ranks and subdegrees can be computed using combinatorial arguments, the CauchyFrobenius lemma and use of the concept of marks. However the concept of Marks has been given very little attention. In this paper we will apply the concept of marks to compute the ranks and subdegrees of the symmetric gro ..."
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Ranks and subdegrees can be computed using combinatorial arguments, the CauchyFrobenius lemma and use of the concept of marks. However the concept of Marks has been given very little attention. In this paper we will apply the concept of marks to compute the ranks and subdegrees of the symmetric group
Ordered triple designs and wreath products of groups
, 2002
"... We explore an interesting connection between a family of incidence structures and wreath products of finite groups. ..."
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Cited by 2 (2 self)
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We explore an interesting connection between a family of incidence structures and wreath products of finite groups.
Pythagorean PartitionRegularity and Ordered Triple Systems with the Sum Property
, 2008
"... Is it possible to color the naturals with finitely many colors so that no Pythagorean triple is monochromatic? This question is even open for two colors. A natural strategy is to show that some small nonbipartite triple systems cannot be realized as a family of Pythagorean triples. It suffices to co ..."
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to consider partial triple systems (PTS’s), and it is therefore natural to consider the Fano plane, the smallest nonbipartite PTS. We show that the Pythagorean triples do not contain any Fano plane. In fact, our main result is that a much larger family of “ordered ” triple systems (viz. those with a certain
Tripled
"... fixed point theorems in partially ordered spaces using a control function ..."
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fixed point theorems in partially ordered spaces using a control function
Triples
"... Abstract. The most abstract form of acceptance semantics for a variant of CSPP is outlined. It encompasses processes which may involve priority, but covers a much wider class of systems including real time behaviour. It shares many of the features of the standard FailuresDivergences treatment: thus ..."
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: thus it is only a Complete Partial Order when the alphabet of events is finite. 1
Tripled partially ordered sets
"... In this paper, we introduce tripled partially ordered sets and monotone functions on tripled partially ordered sets. Some basic properties on these new defined sets are studied and some examples for clarifying are given. ..."
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In this paper, we introduce tripled partially ordered sets and monotone functions on tripled partially ordered sets. Some basic properties on these new defined sets are studied and some examples for clarifying are given.
SPECTRAL TRIPLES AND APERIODIC ORDER
, 2010
"... Abstract. We construct spectral triples for compact metric spaces (X,d). This provides us with a new metric ¯ ds on X. We study its relation with the original metric d. When X is a subshift space, or a discrete tiling space, and d satisfies certain bounds we advocate that the property of ¯ ds and d ..."
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Abstract. We construct spectral triples for compact metric spaces (X,d). This provides us with a new metric ¯ ds on X. We study its relation with the original metric d. When X is a subshift space, or a discrete tiling space, and d satisfies certain bounds we advocate that the property of ¯ ds and d
CONTINUED FRACTIONS AND PYTHAGOREAN TRIPLES
, 1990
"... A Pythagorean triple is an ordered triple of positive integers (x, y, z) with x 2 + y 2 = z 2. It is called primitive if x and y have no common factors. In recent work, A. G. Schaake & J. C. Turner have discovered an unexpected representation for the primitive Pythagorean triples: they are pre ..."
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Cited by 1 (0 self)
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A Pythagorean triple is an ordered triple of positive integers (x, y, z) with x 2 + y 2 = z 2. It is called primitive if x and y have no common factors. In recent work, A. G. Schaake & J. C. Turner have discovered an unexpected representation for the primitive Pythagorean triples
THE STEINER TRIPLE SYSTEMS OF ORDER 19
, 2004
"... Using an orderly algorithm, the Steiner triple systems of order 19 are classified; there are 11,084,874,829 pairwise nonisomorphic such designs. For each design, the order of its automorphism group and the number of Pasch configurations it contains are recorded; 2,591 of the designs are antiPasch. ..."
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Cited by 25 (7 self)
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Using an orderly algorithm, the Steiner triple systems of order 19 are classified; there are 11,084,874,829 pairwise nonisomorphic such designs. For each design, the order of its automorphism group and the number of Pasch configurations it contains are recorded; 2,591 of the designs are anti
FIRST ORDER OPERATORS AND BOUNDARY TRIPLES
, 2008
"... ... concept of boundary triples for Laplace operators. Our main application is the Laplace operator on a manifold with boundary; a case in which the ordinary concept of boundary triples does not apply directly. In our first order approach, we show that we can use the usual boundary operators also in ..."
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Cited by 7 (0 self)
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... concept of boundary triples for Laplace operators. Our main application is the Laplace operator on a manifold with boundary; a case in which the ordinary concept of boundary triples does not apply directly. In our first order approach, we show that we can use the usual boundary operators also
Results 1  10
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