Steiner System: Combinatorics, Mathematics, Jakob Steiner, Block Design, Subset, Idempotent, Commutative |  | Creators: Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
Publisher: Betascript Publishing
Category: Book
This item is no longer available
Media: Paperback
Pages: 108
Shipping Weight (lbs): 0.5
Dimensions (in): 8.7 x 5.9 x 0.3
ISBN: 6130495471
EAN: 9786130495473
ASIN: 6130495471
Publication Date: February 24, 2010
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Product Description
High Quality Content by WIKIPEDIA articles! In combinatorial mathematics, a Steiner system (named after Jakob Steiner) is a type of block design. A Steiner system with parameters l, m, n, written S(l,m,n), is an n-element set S together with a set of m-element subsets of S (called blocks) with the property that each l-element subset of S is contained in exactly one block. A Steiner system with parameters l, m, n is often called simply "an S(l,m,n)". An S(2,3,n) is called a Steiner triple system, and its blocks are called triples. The number of triples is n(n-1)/6. We can define a multiplication on a Steiner triple system by setting aa = a for all a in S, and ab = c if {a,b,c} is a triple. This makes S into an idempotent commutative quasigroup.
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