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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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...
41 KB (5,579 words) - 04:56, 13 May 2024
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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Combinatorial optimization is a subfield of mathematical optimization that consists of finding an optimal object from a finite set of objects, where the...
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Combinatorial chemistry comprises chemical synthetic methods that make it possible to prepare a large number (tens to thousands or even millions) of compounds...
49 KB (6,744 words) - 08:01, 3 June 2024
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...
25 KB (3,078 words) - 00:15, 27 May 2024
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...
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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...
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industrial design C-K theory Design science C-K theory Mathematics Combinatorial design Block design (including symmetric designs) Design of experiments...
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refer to: Block design Combinatorial design Design of experiments Engineering design process Randomized block design, in statistics Design (band), a 1970s...
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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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analysis, and optimization; for the design of experiments, statisticians use algebra and combinatorial design. Applied mathematicians and statisticians...
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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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system, including details of tie-breaking systems Combinatorial design, a balanced tournament design of order n (a BTD(n)) Tournament (graph theory), mathematical...
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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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Combinatorial game theory is a branch of mathematics and theoretical computer science that typically studies sequential games with perfect information...
24 KB (3,198 words) - 07:21, 1 February 2024
designs" and also by other authors. Fang recognized that high-dimensional combinatorial designs, which had been used for numerical integration on the unit cube...
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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...
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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...
37 KB (4,499 words) - 06:20, 12 May 2024
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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did research in information theory, error-correcting codes, and combinatorial design. Among other contributions, he is known for the Levenshtein distance...
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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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Blocking (statistics) (redirect from Randomized block design)
Algebraic statistics Block design Combinatorial design Generalized randomized block design Glossary of experimental design Optimal design Paired difference test...
24 KB (2,886 words) - 20:19, 13 April 2024
these objects. In graph theory they are called hypergraphs, and in combinatorial design theory they are called block designs. Besides the difference in terminology...
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Combinational logic (redirect from Combinatorial Logic)
encoders and decoders are also made by using combinational logic. Practical design of combinational logic systems may require consideration of the finite time...
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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 (4,143 words) - 16:45, 14 December 2023
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...
5 KB (593 words) - 21:34, 11 December 2022
applications in areas of mathematics outside number theory, such as combinatorial design theory. The quaternion-based proof uses Hurwitz quaternions, a subring...
96 KB (12,662 words) - 02:23, 3 June 2024
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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