Combinatorial design theory is the part of combinatorial mathematics that deals with the existence, construction and properties of systems of finite sets...
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Combinatorics (redirect from Combinatorial)
combinatorics. Combinatorial design theory can be applied to the area of design of experiments. Some of the basic theory of combinatorial designs originated...
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Steiner system (redirect from Witt design)
In combinatorial mathematics, a Steiner system (named after Jakob Steiner) is a type of block design, specifically a t-design with λ = 1 and t = 2 or (recently)...
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In combinatorial mathematics, a block design is an incidence structure consisting of a set together with a family of subsets known as blocks, chosen such...
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Turán number (category Combinatorial design)
An (n,r,k,r)-lotto design is an (n, k, r)-Turán system. Thus, T(n,k, r) = L(n,r,k,r). Forbidden subgraph problem Combinatorial design Colbourn & Dinitz...
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Hadamard matrix (category Combinatorial design)
in a Hadamard matrix represents two perpendicular vectors, while in combinatorial terms, it means that each pair of rows has matching entries in exactly...
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Design or The Design may also refer to: Block design Combinatorial design Design of experiments Engineering design process Randomized block design, in statistics...
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Room square (category Combinatorial design)
Latin squares, graph factorizations, and Steiner triple systems. Combinatorial design Magic square Square matrices O'Connor, John J.; Robertson, Edmund...
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Outline of combinatorics (redirect from List of combinatorial topics)
sequences Combinatorial species Algebraic combinatorics Analytic combinatorics Arithmetic combinatorics Combinatorics on words Combinatorial design theory...
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Fisher's inequality (category Combinatorial design)
balanced incomplete block design, that is, a system of subsets that satisfy certain prescribed conditions in combinatorial mathematics. Outlined by Ronald...
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A spherical design, part of combinatorial design theory in mathematics, is a finite set of N points on the d-dimensional unit d-sphere Sd such that the...
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Latin square (redirect from Row column design)
Latin square from two dimensions to multiple dimensions. Block design Combinatorial design Eight queens puzzle Futoshiki Magic square Problems in Latin...
31 KB (3,757 words) - 23:21, 29 April 2025
Weighing matrix (redirect from Weighing design)
Raghavarao, Damaraju (1971). "Weighing Designs". Constructions and combinatorial problems in design of experiments. New York: Wiley. pp. 305–308. ISBN 978-0471704850...
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Lam's problem (category Combinatorial design)
connection between projective planes and coding theory at the conference Combinatorial Aspects of Finite Geometries in 1970. He studied the code generated...
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Unital (geometry) (category Combinatorial design)
(1992-05-01). "On Buekenhout-Metz unitals of odd order". Journal of Combinatorial Theory, Series A. 60 (1): 67–84. doi:10.1016/0097-3165(92)90038-V. ISSN 0097-3165...
13 KB (1,916 words) - 05:18, 28 July 2024
Social golfer problem (category Combinatorial design)
In discrete mathematics, the social golfer problem (SGP) is a combinatorial-design problem derived from a question posted in the usenet newsgroup sci.op-research...
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system, including details of tie-breaking systems Combinatorial design, a balanced tournament design of order n (a BTD(n)) Tournament (graph theory), mathematical...
34 KB (3,469 words) - 16:45, 14 May 2025
Kirkman's schoolgirl problem (category Combinatorial design)
Johnson, Tom; Jedrzejewski, Franck (2014). "Kirkman's Ladies, A Combinatorial Design". Looking at Numbers. pp. 37–55. doi:10.1007/978-3-0348-0554-4_4...
35 KB (4,155 words) - 06:56, 15 May 2025
Orthogonal array (redirect from Hyper-Graeco-Latin square design)
These arrays have many connections to other combinatorial designs and have applications in the statistical design of experiments, coding theory, cryptography...
27 KB (3,395 words) - 18:39, 6 October 2023
Hadamard's maximal determinant problem (category Combinatorial design)
(2006), "D-optimal designs and group divisible designs", Journal of Combinatorial Designs, 14 (6): 451–462, doi:10.1002/jcd.20103. Sloane, N. J. A. (ed...
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statistician who works in the design of experiments and the analysis of variance and in related areas of combinatorial design, especially in association...
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these objects. In graph theory they are called hypergraphs, and in combinatorial design theory they are called block designs. Besides the difference in terminology...
27 KB (3,321 words) - 07:34, 29 August 2023
did research in information theory, error-correcting codes, and combinatorial design. Among other contributions, he is known for the Levenshtein distance...
17 KB (1,738 words) - 10:00, 23 November 2024
Polyhedral geometry also plays a significant role. Combinatorial design theory a part of combinatorial mathematics that deals with the existence and construction...
71 KB (7,692 words) - 22:32, 2 March 2025
Williamson conjecture (category Combinatorial design)
In combinatorial mathematics, specifically in combinatorial design theory and combinatorial matrix theory the Williamson conjecture is that Williamson...
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Regular tuning (category Combinatorial design)
Among alternative guitar-tunings, regular tunings have equal musical intervals between the paired notes of their successive open strings. Guitar tunings...
42 KB (3,869 words) - 09:29, 3 November 2024
Factorial experiment (redirect from Factorial design)
are significant (p-value < 0.05). Combinatorial design Design of experiments Orthogonal array Plackett–Burman design Taguchi methods Welch's t-test This...
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that correlate with each other. Many problems of the design of experiments involve combinatorial designs, as in this example and others. False positive...
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analysis, and optimization; for the design of experiments, statisticians use algebra and combinatorial design. Applied mathematicians and statisticians...
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mathematics that can be defined based on a property of its members Combinatorial design – Symmetric arrangement of finite sets δ-ring – Ring closed under...
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