Combinatorial design theory is the part of combinatorial mathematics that deals with the existence and construction of systems of finite sets whose intersections have specified numerical properties. Combinatorics is a branch of mathematics that studies finite collections of objects that satisfy specified criteria. ... Wikibooks Wikiversity has more about this subject: School of Mathematics Wikiquote has a collection of quotations related to: Mathematics Look up Mathematics on Wiktionary, the free dictionary Wikimedia Commons has more media related to: Mathematics Bogomolny, Alexander: Interactive Mathematics Miscellany and Puzzles. ... In mathematics, the concept of hypergraph generalizes the notion of a graph. ...

For instance, a balanced incomplete block design (usually called for short a block design) is a collection B of b subsets (called blocks) of a finite set S of v elements, such that any element of X is contained in the same number r of blocks, every block has the same number k of elements, and any two blocks have the same number λ of common elements. For example, if λ = 1, we have a projective plane: X is the point set of the plane and the blocks are the lines. You may be looking for block design test In combinatorial mathematics, a block design is a particular kind of set system, which has some long-standing applications to experimental design, as well as some pure combinatorial aspects. ... Projective plane - Wikipedia, the free encyclopedia /**/ @import /skins-1. ...

A spherical design is a finite set X of points in a (d−1)-dimensional sphere such that, for some integer t, the average value on X of every polynomial A sphere is a perfectly symmetrical geometrical object. ...

f(x₁, ..., x_d)

of total degree at most t is equal to the average value of f on the whole sphere, i.e., the integral of f divided by the area of the sphere. In calculus, the integral of a function is a generalization of area, mass, volume, sum, and total. ...

Combinatorial design theory is applied to the design of experiments. The first statistician to consider a methodology for the design of experiments was Sir Ronald A. Fisher. ...