• Combinatorial design theory is the part of combinatorial mathematics that deals with the existence, construction and properties of systems of finite sets...
    33 KB (4,367 words) - 12:36, 9 July 2025
  • 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...
    33 KB (3,558 words) - 07:48, 21 July 2025
  • 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...
    42 KB (5,605 words) - 17:03, 27 May 2025
  • Thumbnail for Steiner system
    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)...
    28 KB (3,894 words) - 13:04, 5 March 2025
  • self-taught Chinese mathematician who made important contributions in combinatorial design theory. He was a high school physics teacher in a remote city and...
    23 KB (3,113 words) - 18:55, 13 January 2025
  • Thumbnail for Turán number
    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...
    3 KB (345 words) - 22:12, 21 March 2025
  • 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...
    5 KB (611 words) - 06:14, 5 May 2024
  • sequences Combinatorial species Algebraic combinatorics Analytic combinatorics Arithmetic combinatorics Combinatorics on words Combinatorial design theory...
    9 KB (683 words) - 08:34, 14 July 2024
  • Thumbnail for Latin square
    Latin square from two dimensions to multiple dimensions. Block design Combinatorial design Eight queens puzzle Futoshiki Magic square Problems in Latin...
    32 KB (3,884 words) - 03:05, 14 July 2025
  • 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...
    4 KB (512 words) - 00:18, 28 February 2024
  • Thumbnail for Hadamard matrix
    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...
    26 KB (3,716 words) - 20:33, 18 May 2025
  • 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...
    10 KB (1,043 words) - 10:42, 1 May 2025
  • 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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  • 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...
    7 KB (831 words) - 08:47, 28 May 2025
  • Thumbnail for Weighing matrix
    Raghavarao, Damaraju (1971). "Weighing Designs". Constructions and combinatorial problems in design of experiments. New York: Wiley. pp. 305–308. ISBN 978-0471704850...
    16 KB (2,412 words) - 18:58, 2 July 2025
  • 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) - 16:40, 4 July 2025
  • 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 (594 words) - 18:55, 20 September 2024
  • Thumbnail for Round-robin tournament
    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) - 06:00, 21 July 2025
  • Thumbnail for Kirkman's schoolgirl problem
    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
  • 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
  • Williamson conjecture (category Combinatorial design)
    In combinatorial mathematics, specifically in combinatorial design theory and combinatorial matrix theory, the Williamson conjecture is that Williamson...
    3 KB (381 words) - 23:42, 4 June 2025
  • 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 (3,319 words) - 17:55, 18 May 2025
  • Thumbnail for Design of experiments
    Bayesian experimental design – Experimental design framework Block design – Structure in combinatorial mathematics Box–Behnken design – Experimental designs...
    43 KB (5,396 words) - 16:58, 25 June 2025
  • Thumbnail for Factorial experiment
    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 (4,543 words) - 03:02, 24 April 2025
  • 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) - 19:29, 26 May 2025
  • 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...
    21 KB (2,797 words) - 23:29, 23 June 2025
  • Thumbnail for Applied mathematics
    analysis, and optimization; for the design of experiments, statisticians use algebra and combinatorial design. Applied mathematicians and statisticians...
    23 KB (2,338 words) - 07:44, 22 July 2025
  • 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
  • Thumbnail for Combinatorial optimization
    Combinatorial optimization is a subfield of mathematical optimization that consists of finding an optimal object from a finite set of objects, where the...
    18 KB (1,848 words) - 17:23, 29 June 2025
  • Thumbnail for Magic square
    mostly about divination, the magic square is given as a matter of combinatorial design, and no magical properties are attributed to it. The special features...
    272 KB (21,802 words) - 12:40, 22 July 2025