Linear Space (geometry)
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High Quality Content by WIKIPEDIA articles! Linear spaces can be seen as a generalization of 2 (v,k,1) designs, where the requirement that every block contains the same number of points is dropped and the essential structural characteristic is that 2 points are incident with exactly 1 line. The term linear space was coined by Libois in 1964, though many results about linear spaces are much older.In combinatorial mathematics, a block design is a particular kind of hypergraph or set system, which has applications to experimental design, finite geometry, software testing, cryptography, and algebr...
High Quality Content by WIKIPEDIA articles! Linear spaces can be seen as a generalization of 2 (v,k,1) designs, where the requirement that every block contains the same number of points is dropped and the essential structural characteristic is that 2 points are incident with exactly 1 line. The term linear space was coined by Libois in 1964, though many results about linear spaces are much older.In combinatorial mathematics, a block design is a particular kind of hypergraph or set system, which has applications to experimental design, finite geometry, software testing, cryptography, and algebraic geometry. Many variations have been studied, including balanced incomplete block designs.
