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Topics referred to by the same term
Look up lattice in Wiktionary, the free dictionary. Lattice may refer to: Latticework, an ornamental criss-crossed framework, an arrangement of crossing
Lattice
Set whose pairs have minima and maxima
A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered
Lattice_(order)
Semiconductor company
Lattice Semiconductor Corporation is an American semiconductor company specializing in the design and manufacturing of low-power field-programmable gate
Lattice_Semiconductor
Geometry and crystallography point array
In geometry and crystallography, a Bravais lattice, named after Auguste Bravais (1850), is an infinite array of discrete points generated by a set of
Bravais_lattice
Optimization problem in computer science
In computer science, lattice problems are a class of optimization problems related to mathematical objects called lattices. The conjectured intractability
Lattice_problem
Periodic set of points
Coordinate-wise addition or subtraction of two points in the lattice produces another lattice point. The lattice points are all separated by some minimum distance
Lattice_(group)
Fourier transform of a real-space lattice, important in solid-state physics
Reciprocal lattice is a concept associated with solids with translational symmetry which plays a major role in many areas such as X-ray and electron diffraction
Reciprocal_lattice
Multiplication algorithm
Lattice multiplication, also known as the Italian method, Chinese method, Chinese lattice, gelosia multiplication, sieve multiplication, shabakh, diagonally
Lattice_multiplication
Ordered arrangement of atoms, ions, or molecules in a crystalline material
the Bravais lattice. The lengths of principal axes/edges, of the unit cell and angles between them are lattice constants, also called lattice parameters
Crystal_structure
mathematics, the Volterra lattice, also known as the discrete KdV equation, the Kac–van Moerbeke lattice, and the Langmuir lattice, is a system of ordinary
Volterra_lattice
Cryptographic primitives that involve lattices
Lattice-based cryptography is the generic term for constructions of cryptographic primitives that involve lattices, either in the construction itself or
Lattice-based_cryptography
Graph whose embedding in a Euclidean space forms a regular tiling
In graph theory, a lattice graph, mesh graph, or grid graph is a graph whose drawing, embedded in some Euclidean space R n {\displaystyle \mathbb {R}
Lattice_graph
Mathematical term
In mathematics, a lattice word (or lattice permutation) is a string composed of positive integers, in which every prefix contains at least as many positive
Lattice_word
Lattice in 8-dimensional space with special properties
mathematics, the E8 lattice is a special lattice in R8. It can be characterized as the unique positive-definite, even, unimodular lattice of rank 8. The name
E8_lattice
Classification of crystalline materials by their three-dimensional structural geometry
geometric symmetries with at least one fixed point). A lattice system is a set of Bravais lattices (an infinite array of discrete points). Space groups
Crystal_system
Physical dimensions of unit cells in a crystal
lattice constant or lattice parameter is one of the physical dimensions and angles that determine the geometry of the unit cells in a crystal lattice
Lattice_constant
One of the five 2D Bravais lattices
hexagonal lattice (sometimes called triangular lattice) is one of the five two-dimensional Bravais lattice types. The symmetry category of the lattice is wallpaper
Hexagonal_lattice
Topics referred to by the same term
Atomic lattice may refer to: In mineralogy, atomic lattice refers to the arrangement of atoms into a crystal structure. In order theory, a lattice is called
Atomic_lattice
Partially ordered set in which all subsets have both a supremum and infimum
complete lattice is a partially ordered set in which all subsets have both a supremum (join) and an infimum (meet). A conditionally complete lattice satisfies
Complete_lattice
Union of crystal groups with related structures and lattices
trigonal) and two lattice systems (hexagonal and rhombohedral). While commonly confused, the trigonal crystal system and the rhombohedral lattice system are
Hexagonal_crystal_family
Join-meet algebra on matroid flats
matroids and lattices, a geometric lattice is a finite atomistic semimodular lattice, and a matroid lattice is an atomistic semimodular lattice without the
Geometric_lattice
a lattice is an algebraic structure which, informally, provides a general framework for taking a sparse set of points in a larger space. Lattices generalize
Lattice_(module)
24-dimensional repeating pattern of points
In mathematics, the Leech lattice is an even unimodular lattice Λ24 in 24-dimensional Euclidean space, E24. It is one of the best models for the kissing
Leech_lattice
In mathematics, and in particular in order theory, a bounded lattice is a lattice that has a least element and a greatest element, usually denoted by 0
Bounded_lattice
Mathematical object
discrete mathematics, ideal lattices are a special class of lattices and a generalization of cyclic lattices. Ideal lattices naturally occur in many parts
Ideal_lattice
Special type of lattice
In mathematics, a distributive lattice is a lattice in which the operations of join and meet distribute over each other. The prototypical examples of such
Distributive_lattice
In quantum computing, lattice surgery is a method for executing logical gates between two error-corrected qubits. Lattice surgery introduces the concepts
Lattice_surgery
Quantum chromodynamics on a lattice
Lattice QCD is a well-established non-perturbative approach to solving the quantum chromodynamics (QCD) theory of quarks and gluons. It is a lattice gauge
Lattice_QCD
Energy change upon the formation of one mole of ionic solid
In chemistry, the lattice energy is the energy change (released) upon formation of one mole of a crystalline compound from its infinitely separated constituents
Lattice_energy
Type of observation mast on warships
Lattice masts, or cage masts, or basket masts, are a type of observation mast common on United States Navy major warships in the early 20th century. They
Lattice_mast
Set of points in Euclidean space
In mathematics, a eutactic lattice (or eutactic form) is a lattice in Euclidean space whose minimal vectors form a eutactic star. This means they have
Eutactic_lattice
Crystallographic system where the unit cell is in the shape of a cube
Bravais lattice, which is not necessarily close-packed when a motif is set onto the lattice points. E.g. the diamond and the zincblende lattices are fcc
Cubic_crystal_system
Mathematical concept
free lattice is the free object corresponding to a lattice. As free objects, they have the universal property. Because the concept of a lattice can be
Free_lattice
Bound lattice in which every element has a complement
the mathematical discipline of order theory, a complemented lattice is a bounded lattice (with least element 0 and greatest element 1), in which every
Complemented_lattice
Integral lattice of determinant 1 or –1
mathematical group theory, a unimodular lattice is an integral lattice of determinant 1 or −1. For a lattice in n-dimensional Euclidean space, this is
Unimodular_lattice
Topics referred to by the same term
Lattice model may refer to: Lattice model (physics), a physical model that is defined on a periodic structure with a repeating elemental unit pattern
Lattice_model
Class of computational fluid dynamics methods
The lattice Boltzmann methods (LBM), originated from the lattice gas automata (LGA) method (Hardy-Pomeau-Pazzis and Frisch-Hasslacher-Pomeau models), is
Lattice_Boltzmann_methods
finite lattice representation problem, or finite congruence lattice problem, asks whether every finite lattice is isomorphic to the congruence lattice of
Finite lattice representation problem
Finite_lattice_representation_problem
Primitive cell in the reciprocal space lattice of crystals
In the same way the Bravais lattice is divided up into Wigner–Seitz cells in the real lattice, the reciprocal lattice is broken up into Brillouin zones
Brillouin_zone
The division lattice is an infinite complete bounded distributive lattice whose elements are the natural numbers ordered by divisibility. Its least element
Division_lattice
Lattice proteins are highly simplified models of protein-like heteropolymer chains on lattice conformational space which are used to investigate protein
Lattice_protein
Construction analogous to that of a dual vector space
theory of lattices, the dual lattice is a construction analogous to that of a dual vector space. In certain respects, the geometry of the dual lattice of a
Dual_lattice
Australian feldspar with geometric inclusions
Rainbow lattice sunstone, also known as rainbow lattice, is a type of orthoclase feldspar that exhibits a rare combination of aventurescence, adularescence
Rainbow_lattice_sunstone
Freestanding framework tower
A lattice tower, or truss tower, is a freestanding vertical framework tower. This construction is widely used in transmission towers carrying high-voltage
Lattice_tower
Integer factorization algorithm
Lattice sieving is a technique for finding smooth values of a bivariate polynomial f ( a , b ) {\displaystyle f(a,b)} over a large region. It is almost
Lattice_sieving
algebra, a skew lattice is an algebraic structure that is a non-commutative generalization of a lattice. While the term skew lattice can be used to refer
Skew_lattice
Medical condition
Lattice degeneration is a disease of the human eye wherein the peripheral retina becomes atrophic in a lattice pattern. Usually, this happens slowly over
Lattice_degeneration
Type of cellular automaton
Lattice gas automata (LGCA), or lattice gas cellular automata, are a type of cellular automaton used to simulate fluid flows, pioneered by Hardy–Pomeau–de
Lattice_gas_automaton
Quasiparticle of mechanical vibrations
Other lattices include a linear chain, which is a very simple lattice which we will shortly use for modeling phonons. (For other common lattices, see crystal
Phonon
Lattice Engines was a technology provider that delivered predictive marketing and sales cloud applications to business-to-business (B2B) companies. The
Lattice_Engines
In lattice theory, a bounded lattice L is called a 0,1-simple lattice if nonconstant lattice homomorphisms of L preserve the identity of its top and bottom
0,1-simple_lattice
Crystallographic concept
crystallography, a lattice plane of a given Bravais lattice is any plane containing at least three noncollinear Bravais lattice points. Equivalently, a lattice plane
Lattice_plane
In mathematics, an algebraic structure
In abstract algebra, a residuated lattice is an algebraic structure that is simultaneously a lattice x ≤ y and a monoid x•y that admits operations x\z
Residuated_lattice
Type of lattice in mathematical order theory
In the branch of mathematics called order theory, a modular lattice is a lattice that satisfies the following self-dual condition, Modular law a ≤ b implies
Modular_lattice
Lattice whose elements are the subgroups of a given group
In mathematics, the lattice of subgroups of a group G {\displaystyle G} is the lattice whose elements are the subgroups of G {\displaystyle G} , with the
Lattice_of_subgroups
completely distributive lattice is a complete lattice in which arbitrary joins distribute over arbitrary meets. Formally, a complete lattice L is said to be completely
Completely distributive lattice
Completely_distributive_lattice
Type of atomic clock
optical (AMO) physics, an optical lattice clock is a type of atomic clock that uses neutral atoms confined in an optical lattice, which is a periodic array of
Optical_lattice_clock
American defense technology company
border system. In June 2018, Lattice surveillance towers were informally tested on a Texas rancher's private land. Lattice was operated remotely by an
Anduril_Industries
Lattice group in Euclidean space whose points are integer n-tuples
^{n}} whose lattice points are n-tuples of integers. The two-dimensional integer lattice is also called the square lattice (or grid lattice) and the three-dimensional
Integer_lattice
Ornamental criss-crossed framework
decoration in Indian architecture Lattice tower – Freestanding framework tower Lattice truss bridge – Type of truss bridge Lattice stool Mashrabiya – Islamic
Latticework
Geometric arrangements of points, foundational to Lie theory
y\rangle } is preserved. The root lattice of a root system Φ is the Z-submodule of E generated by Φ. It is a lattice in E. The group of isometries of E
Root_system
Notation system for crystal lattice planes
crystallography for lattice planes in crystal (Bravais) lattices. In particular, a family of lattice planes of a given (direct) Bravais lattice is determined
Miller_index
Former British gas transmission business
Lattice Group plc was a leading British gas transmission business. It was listed on the London Stock Exchange and was a constituent of the FTSE 100 Index
Lattice_Group
Quantum field theory on a lattice
In physics, lattice field theory is the study of lattice models of quantum field theory. This involves studying field theory on a space or spacetime that
Lattice_field_theory
Lattice in universal algebra
In logic and universal algebra, Post's lattice denotes the lattice of all clones on a two-element set {0, 1}, ordered by inclusion. It is named for Emil
Post's_lattice
Regular infinite tree structure used in statistical mechanics
Bethe lattice (also called a regular tree) is an infinite symmetric regular tree where all vertices have the same number of neighbors. The Bethe lattice was
Bethe_lattice
American businessman and entrepreneur
Hydrazine Capital with his brother Sam. Until 2023, he served as CEO of Lattice, a human resources software company he co-founded. Altman grew up in a
Jack_Altman_(investor)
BOINC based volunteer computing Project
The Lattice Project was a volunteer computing project that combined computing resources, Grid middleware, specialized scientific application software
The_Lattice_Project
Primitive cell of crystal lattices with Voronoi decomposition applied
cell for any given lattice. It is the locus of points in space that are closer to that lattice point than to any of the other lattice points. A Wigner–Seitz
Wigner–Seitz_cell
In musical tuning, a lattice "is a way of modeling the tuning relationships of a just intonation system. It is an array of points in a periodic multidimensional
Lattice_(music)
Physical model defined on a lattice
In mathematical physics, a lattice model is a mathematical model of a physical system that is defined on a lattice, as opposed to a continuum, such as
Lattice_model_(physics)
Physical phenomenon
During nuclear magnetic resonance observations, spin–lattice relaxation is the mechanism by which the longitudinal component of the total nuclear magnetic
Spin–lattice_relaxation
Simple model for one-dimensional crystal in solid-state physics
The Toda lattice, introduced by Morikazu Toda (1967), is a simple model for a one-dimensional crystal in solid state physics. It is famous because it
Toda_lattice
Numerical method used in computational fluid dynamics
The Vortex lattice method, (VLM), is a numerical method used in computational fluid dynamics, mainly in the early stages of aircraft design and in aerodynamic
Vortex_lattice_method
Sequence of end-to-end vectors across points of a lattice
In combinatorics, a lattice path L in the d-dimensional integer lattice Z d {\displaystyle \mathbb {Z} ^{d}} of length k with steps in the set S,
Lattice_path
Theoretical electronic band structure model in which the potential is periodic and weak
The empty lattice approximation is a theoretical electronic band structure model in which the potential is periodic and weak (close to constant). One
Empty_lattice_approximation
Topics referred to by the same term
Cubic lattice may refer to: Cubic crystal system Cubic honeycomb vertex arrangement Integer lattice Z3 This disambiguation page lists articles associated
Cubic_lattice
Arrangement of magnets
The Chasman–Green lattice, also known as a double bend achromat lattice (DBA lattice), is a special periodic arrangement of magnets designed by Renate
Chasman–Green_lattice
Algebraic structure
In mathematics, the Tamari lattice is an algebraic structure that concisely represents some of the important logical and geometric properties of associativity
Tamari_lattice
Positive-definite integral set of repeated points with Abelian group-rank 24
In mathematics, a Niemeier lattice is one of the 24 positive definite even unimodular lattices of rank 24, which were classified by Hans-Volker Niemeier (1973)
Niemeier_lattice
Euclidean lattice
In mathematics, a perfect lattice (or perfect form) is a lattice in a Euclidean vector space, that is completely determined by the set S of its minimal
Perfect_lattice
Two-port electrical wave filter
A symmetrical lattice is a two-port electrical wave filter in which diagonally-crossed shunt elements are present – a configuration which sets it apart
Lattice_network
2-dimensional lattice
The rectangular lattice and centered rectangular lattice (or rhombic lattice) constitute two of the five two-dimensional Bravais lattice types. The symmetry
Rectangular_lattice
Compiler for C programming language
The Lattice C Compiler was released in June 1982 by Lifeboat Associates and was the first[citation needed] C compiler for the IBM Personal Computer. The
Lattice_C
Tiling of a plane by regular hexagons and equilateral triangles
this pattern has been taken up in physics, where it is called a kagome lattice. It occurs also in the crystal structures of certain minerals. Conway calls
Trihexagonal_tiling
Important problem in lattice theory
congruence lattice problem asks whether every algebraic distributive lattice is isomorphic to the congruence lattice of some other lattice. The problem
Congruence_lattice_problem
Atomic-scale structure formed through the Stark shift by opposing beams of light
An optical lattice is formed by the interference of counter-propagating laser beams, creating a spatially periodic intensity pattern. The resulting periodic
Optical_lattice
Mathematical concept
theory and functional analysis, two elements x and y of a vector lattice X are lattice disjoint or simply disjoint if inf { | x | , | y | } = 0 {\displaystyle
Lattice_disjoint
2-dimensional integer lattice
the square lattice is a type of lattice in a two-dimensional Euclidean space. It is the two-dimensional version of the integer lattice, denoted as
Square_lattice
Microprocessor RISC soft core
LatticeMico32 is a 32-bit microprocessor reduced instruction set computer (RISC) soft core from Lattice Semiconductor optimized for field-programmable
LatticeMico32
Banach space with a compatible structure of a lattice
functional analysis and order theory, a Banach lattice (X,‖·‖) is a complete normed vector space with a lattice order, ≤ {\displaystyle \leq } , such that
Banach_lattice
of a lattice is a function whose coefficients give the number of vectors of a given norm. One can associate to any (positive-definite) lattice Λ a theta
Theta_function_of_a_lattice
Topological vector lattice
Fréchet lattice is a topological vector lattice that is also a Fréchet space. Fréchet lattices are important in the theory of topological vector lattices. Every
Fréchet_lattice
Lattice scattering is the scattering of ions by interaction with atoms in a lattice. This effect can be qualitatively understood as phonons colliding
Lattice_scattering
the branch of mathematics known as order theory, a semimodular lattice, is a lattice that satisfies the following condition: Semimodular law a ∧ b <: a
Semimodular_lattice
Concept in mathematics
bounded lattice is a lattice. (def) 13. A heyting algebra is residuated. 14. A residuated lattice is a lattice. (def) 15. A distributive lattice is modular
Map_of_lattices
Artificial lattice is a term encompassing every atomic-scale structures designed and controlled to confine electrons onto a chosen lattice. Research has
Artificial_lattice
Decorative pastry on baked goods
"peekaboo" lattice. Latticing a piecrust Bottom crust Filled crust Starting latticework Latticing Latticing continues in a herringbone pattern Latticing finished
Lattice_(pastry)
specifically in functional analysis and order theory, a topological vector lattice is a Hausdorff topological vector space (TVS) X {\displaystyle X} that
Topological_vector_lattice
Algorithm in computational number theory
The Lenstra–Lenstra–Lovász (LLL) lattice basis reduction algorithm is a polynomial time lattice reduction algorithm invented by Arjen Lenstra, Hendrik
Lenstra–Lenstra–Lovász lattice basis reduction algorithm
Lenstra–Lenstra–Lovász_lattice_basis_reduction_algorithm
LATTICE
LATTICE
Surname or Lastname
English
English : variant of Fretter, an occupational name for a maker of ornaments (especially for the hair) consisting of jewels set in a lattice network, from an agent derivative of Middle English frette, Old French frete ‘interlaced work’.
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