lattice theory

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English

Noun

lattice theory (countable and uncountable, plural lattice theories)

  1. (mathematics, uncountable) The branch of mathematics concerned with lattices (partially ordered sets).
    • 2006, Vassilis G. Kaburlasos, Towards a Unified Modeling and Knowledge-Representation based on Lattice Theory, Springer, page 4:
      Apart from an introduction of effective techniques, a most significant contribution of our work has been the elevation of lattice theory in computational intelligence – soft computing.
    • 2008, Rudolf Wille, Formal Concept Analysis as Applied Lattice Theory, Sadok Ben Yahia, Engelbert Mephu Nguifo, Radim Belohlacek (editors), Concept Lattices and Their Applications: Fourth International Conference, Selected Papers, Springer, LNAI 4923, page 42,
      Formal Concept Analysis is a mathematical theory of concept hierarchies which is based on Lattice Theory.
  2. (physics, countable and uncountable) A lattice model, a mathematical model based on a lattice (discrete subgroup of Rn); the study of such models.
  3. (particle physics, countable and uncountable) (A) lattice gauge theory.
    • 1981, J. Greensite, B. Lautrup, First-Order Phase Transitions in Four-Dimensional SO(3) Lattice Gauge Theory, in Physical Review Letters, Republished in 1983, Claudio Rebbi (editor), Lattice Gauge Theories and Monte Carlo Simulations, World Scientific, page 472,
      It is natural to think that the absence of phase transitions in the SU(2) theory can be generalized to lattice theories with any continuous non-Abelian gauge group.

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