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A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra.It consists of a partially ordered set in which every pair of elements has a unique supremum (also called a least upper bound or join) and a unique infimum (also called a greatest lower bound or meet).
In physics, lattice field theory is the study of lattice models of quantum field theory.
In the mathematics of matroids and lattices, a geometric lattice is a finite atomistic semimodular lattice, and a matroid lattice is an atomistic semimodular lattice without the assumption of finiteness.
In physics, lattice gauge theory is the study of gauge theories on a spacetime that has been discretized into a lattice. Gauge theories are important in particle physics , and include the prevailing theories of elementary particles : quantum electrodynamics , quantum chromodynamics (QCD) and particle physics' Standard Model .
Latticework, an ornamental criss-crossed framework, an arrangement of crossing laths or other thin strips of material Lattice (music) , an organized grid model of pitch ratios Lattice (pastry) , an ornamental pattern of crossing strips of pastry
In physics, Hamiltonian lattice gauge theory is a calculational approach to gauge theory and a special case of lattice gauge theory in which the space is discretized but time is not. The Hamiltonian is then re-expressed as a function of degrees of freedom defined on a d-dimensional lattice.
On the neo-Riemannian Tonnetz, pitches are connected by lines if they are separated by minor third (/), major third (\), or perfect fifth (–). A lattice in the Euclidean plane.
Filter theory was initially developed from earlier studies of transmission lines. [8] [9] In this theory, a filter section is specified in terms of its propagation constant and image impedance (or characteristic impedance). Specifically for the lattice, the propagation function, γ, and characteristic impedance, Z o, are defined by, [4]: 379 [6]