For an account of that concept in combinatorics, see Steiner triple system and block design.
In algebra, a triple system (or ternar) is a vector space V over a field F together with a F-trilinear map
The most important examples are Lie triple systems and Jordan triple systems. They were introduced by Nathan Jacobson in 1949 to study subspaces of associative algebras closed under triple commutators [[u, v], w] and triple anticommutators {u, {v, w}}. In particular, any Lie algebra defines a Lie triple system and any Jordan algebra defines a Jordan triple system. They are important in the theories of symmetric spaces, particularly Hermitian symmetric spaces and their generalizations (symmetric R-spaces and their noncompact duals).
In algebra, a triplesystem (or ternar) is a vector space V over a field F together with a F-trilinear map ( ⋅ , ⋅ , ⋅ ) : V × V × V → V . {\displaystyle...
star systems. Most multiple star systems are triple stars. Systems with four or more components are less likely to occur. Multiple-star systems are called...
definition of Steiner systems also required that k = t + 1. An S(2,3,n) was (and still is) called a Steiner triple (or triad) system, while an S(3,4,n) is...
of triple point. The triple point of water was used to define the kelvin, the base unit of thermodynamic temperature in the International System of Units...
A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. Such a triple is commonly written (a, b, c), a well-known...
Kingdom, and EFMD Quality Improvement System in Belgium. A total of 129 business schools in the world are triple-accredited as of 2 April 2024[update]...
Rigel and the triplesystem orbit a common center of gravity with a period estimated to be 24,000 years. The inner stars of the triplesystem orbit each...
The Triple Entente (from French entente [ɑ̃tɑ̃t] meaning "friendship, understanding, agreement") describes the informal understanding between the Russian...
2017. Lempo is a hierarchical triple (or trinary) system consisting of a central primary, which is itself a binary system of two similarly-sized components...
decreased left-ventricle function; left main disease; diabetes; and complex triplesystem disease (including LAD, Cx and RCA), especially when the lesion in the...
Paul Michael Levesque (born July 27, 1969), better known by the ring name Triple H, is an American business executive, actor, and retired professional wrestler...
high-mass planet. Just short of naked-eye visibility is HD 178911, a triplesystem consisting of a close binary and a visually separable sunlike star....
related planetary system, is located 105 light-years away in the constellation Coma Berenices. HD 110067 is part of a wide triple star system, along with the...
Triple Canopy, Inc., is an American private security company and private military company that provides armed security, mission support, and risk management...
astrology, a triplicity is a group of three signs belonging to the same element. Astrology assumes that each sign of the same triplicity is 120 degrees...
A semantic triple, or RDF triple or simply triple, is the atomic data entity in the Resource Description Framework (RDF) data model. As its name indicates...
discovered a stellar triplesystem containing a millisecond pulsar PSR J0337+1715 and two white dwarfs orbiting it. The system provided them a chance...
Beta Centauri is a triple star system in the southern constellation of Centaurus. It is officially called Hadar (/ˈheɪdɑːr/). The Bayer designation of...
In cryptography, Triple DES (3DES or TDES), officially the Triple Data Encryption Algorithm (TDEA or Triple DEA), is a symmetric-key block cipher, which...
triple modular redundancy, sometimes called triple-mode redundancy, (TMR) is a fault-tolerant form of N-modular redundancy, in which three systems perform...
dropsets, descending sets, strip sets, the multi-poundage system the stripping method, triple-drops, down the rack, or running the rack) is a technique...
; Sturmann, J.; Sturmann, L.; Turner, N. (2012). "Imaging the Algol TripleSystem in the H Band with the CHARA Interferometer". The Astrophysical Journal...