Combinatorial design theory is the part of combinatorial mathematics that deals with the existence, construction and properties of systems of finite sets...

combinatorics. Combinatorial design theory can be applied to the area of design of experiments. Some of the basic theory of combinatorial designs originated...

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...

self-taught Chinese mathematician who made important contributions in combinatorial design theory. He was a high school physics teacher in a remote city and...

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...

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)...

Raghavarao, Damaraju (1971). "Weighing Designs". Constructions and combinatorial problems in design of experiments. New York: Wiley. pp. 305–308. ISBN 978-0471704850...

in a Hadamard matrix represents two perpendicular vectors, while in combinatorial terms, it means that each pair of rows has matching entries in exactly...

balanced incomplete block design, that is, a system of subsets that satisfy certain prescribed conditions in combinatorial mathematics. Outlined by Ronald...

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...

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...

Design or The Design may also refer to: Block design Combinatorial design Design of experiments Engineering design process Randomized block design, in statistics...

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...

connection between projective planes and coding theory at the conference Combinatorial Aspects of Finite Geometries in 1970. He studied the code generated...

Latin squares, graph factorizations, and Steiner triple systems. Combinatorial design Magic square Square matrices O'Connor, John J.; Robertson, Edmund...

Latin square from two dimensions to multiple dimensions. Block design Combinatorial design Eight queens puzzle Futoshiki Magic square Problems in Latin...

These arrays have many connections to other combinatorial designs and have applications in the statistical design of experiments, coding theory, cryptography...

Polyhedral geometry also plays a significant role. Combinatorial design theory a part of combinatorial mathematics that deals with the existence and construction...

(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...

these objects. In graph theory they are called hypergraphs, and in combinatorial design theory they are called block designs. Besides the difference in terminology...

sequences Combinatorial species Algebraic combinatorics Analytic combinatorics Arithmetic combinatorics Combinatorics on words Combinatorial design theory...

Bayesian experimental design – Experimental design framework Block design – Structure in combinatorial mathematics Box–Behnken design – Experimental designs...

did research in information theory, error-correcting codes, and combinatorial design. Among other contributions, he is known for the Levenshtein distance...

system, including details of tie-breaking systems Combinatorial design, a balanced tournament design of order n (a BTD(n)) Tournament (graph theory), mathematical...

(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...

Among alternative guitar-tunings, regular tunings have equal musical intervals between the paired notes of their successive open strings. Guitar tunings...

In combinatorial mathematics, specifically in combinatorial design theory and combinatorial matrix theory, the Williamson conjecture is that Williamson...

sums. Consider the following truth table, which represents a 3-input combinatorial logic element taking inputs A, B, and C, and with an output which is...

analysis, and optimization; for the design of experiments, statisticians use algebra and combinatorial design. Applied mathematicians and statisticians...

Combinatorial chemistry comprises chemical synthetic methods that make it possible to prepare a large number (tens to thousands or even millions) of compounds...