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- Steiner_system abstract "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.A Steiner system with parameters t, k, n, written S(t,k,n), is an n-element set S together with a set of k-element subsets of S (called blocks) with the property that each t-element subset of S is contained in exactly one block. In an alternate notation for block designs, an S(t,k,n) would be a t-(n,k,1) design.This definition is relatively modern, generalizing the classical definition of Steiner systems which in addition required that k = t + 1. An S(2,3,n) was (and still is) called a Steiner triple system, while an S(3,4,n) was called a Steiner quadruple system, and so on. With the generalization of the definition, this naming system is no longer strictly adhered to.As of 2012, an outstanding problem in design theory is if any nontrivial Steiner systems have t ≥ 6. It is also unknown if infinitely many have t = 4 or 5.".
- Steiner_system thumbnail Fano_plane.svg?width=300.
- Steiner_system wikiPageExternalLink SteinerApplet.html.
- Steiner_system wikiPageExternalLink octad.html.
- Steiner_system wikiPageExternalLink witt.html.
- Steiner_system wikiPageExternalLink 2370885.
- Steiner_system wikiPageExternalLink S.html.
- Steiner_system wikiPageExternalLink Steiner5824.htm.
- Steiner_system wikiPageID "28016".
- Steiner_system wikiPageRevisionID "602964968".
- Steiner_system author "Rowland, Todd and Weisstein, Eric W.".
- Steiner_system authorlink "Jakob Steiner".
- Steiner_system authorlink "Thomas Kirkman".
- Steiner_system first "B.T.".
- Steiner_system first "Jakob".
- Steiner_system first "Thomas".
- Steiner_system hasPhotoCollection Steiner_system.
- Steiner_system id "Steiner_system".
- Steiner_system last "Kirkman".
- Steiner_system last "Rumov".
- Steiner_system last "Steiner".
- Steiner_system title "Steiner System".
- Steiner_system title "Steiner system".
- Steiner_system urlname "SteinerSystem".
- Steiner_system year "1847".
- Steiner_system year "1853".
- Steiner_system subject Category:Design_of_experiments.
- Steiner_system subject Category:Design_theory.
- Steiner_system subject Category:Set_families.
- Steiner_system type Abstraction100002137.
- Steiner_system type Family108078020.
- Steiner_system type Group100031264.
- Steiner_system type Organization108008335.
- Steiner_system type SetFamilies.
- Steiner_system type SocialGroup107950920.
- Steiner_system type Unit108189659.
- Steiner_system type YagoLegalActor.
- Steiner_system type YagoLegalActorGeo.
- Steiner_system type YagoPermanentlyLocatedEntity.
- Steiner_system comment "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.A Steiner system with parameters t, k, n, written S(t,k,n), is an n-element set S together with a set of k-element subsets of S (called blocks) with the property that each t-element subset of S is contained in exactly one block.".
- Steiner_system label "Steiner system".
- Steiner_system label "Wittscher Blockplan".
- Steiner_system label "Система Штейнера".
- Steiner_system sameAs Wittscher_Blockplan.
- Steiner_system sameAs m.06zb6.
- Steiner_system sameAs Q4420916.
- Steiner_system sameAs Q4420916.
- Steiner_system sameAs Steiner_system.
- Steiner_system wasDerivedFrom Steiner_system?oldid=602964968.
- Steiner_system depiction Fano_plane.svg.
- Steiner_system isPrimaryTopicOf Steiner_system.
