lattice theory

plural lattice theories

1. uncountablemathematicsThe branch of mathematics concerned with lattices (partially ordered sets).

   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.

   2006, Vassilis G. Kaburlasos, Towards a Unified Modeling and Knowledge-Representation based on Lattice Theory, Springer, page 4

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   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. countableuncountablenatural sciencesA lattice model, a mathematical model based on a lattice (discrete subgroup of Rⁿ); the study of such models.
3. countableparticleuncountablenatural sciences(A) lattice gauge theory.

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   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.