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...of lattice points in the plane has a large subset whose centroid is also a lattice point}} ...point]]s in the plane has a large [[subset]] whose [[centroid]] is also a lattice point. It was proved independently in the autumn of 2003 by [[Christian Rei ...

{{short description|Family of tetrahedra on an integer lattice}} ...the same number of interior ({{mvar|i}}) and boundary ({{mvar|b}}) lattice points but different volumes ({{mvar|V}}).]] ...

...h LP relaxation.svg|right|thumb|300px|The red dots are the integer lattice points within the blue polygon, the latter representing a two-dimensional [[linear ...nd [[computer science]].<ref>[http://math.sfsu.edu/beck/src06.html Integer points in polyhedra. Geometry, Number Theory, Representation Theory, Algebra, Opti ...

...ive transformation]]s that send the graph to itself is a [[lattice (group)|lattice in the group-theoretical sense]]. ...lane or 3D space). This type of graph may more shortly be called just a '''lattice''', '''mesh''', or '''grid'''. Moreover, these terms are also commonly used ...

...er dual (functional analysis)|order dual]] of <math>X</math> distinguishes points in <math>X</math>.{{sfn|Schaefer|Wolff|1999|pp=204–214}} ...ector space is an important property in the theory of [[topological vector lattice]]s. ...

...Volterra lattice is an [[integrable system]], and is related to the [[Toda lattice]]. It is also used as a model for [[Langmuir wave]]s in plasmas. The Volterra lattice is the set of ordinary differential equations for functions ''a''<sub>''n'' ...

{{Short description|2-dimensional lattice}} |[[Image:Rectangular Lattice.svg|150px]] ...

...]], a '''locally convex vector lattice (LCVL)''' is a [[topological vector lattice]] that is also a [[locally convex]] space.{{sfn|Schaefer|Wolff|1999|pp=234– LCVLs are important in the theory of [[topological vector lattice]]s. ...

...a [[Magic number (chemistry)|magic number]] for the [[face-centered cubic lattice]]. The centered icosahedral number for a specific <math>n</math> is given b ...sahedral (or cuboctahedral) numbers, also crystal ball sequence for f.c.c. lattice}}. ...

...) containing the X-ray beam. The third parameter specifying the reciprocal lattice vector is the angle <math>\phi</math> formed by the X-ray beam and the plan ...th>\zeta = \zeta_2</math>, and so on. Alternatively the reciprocal lattice points lie a long a cylinder with a constant <math>\xi</math> value whose axis is ...

{{Short description|Sequence of end-to-end vectors across points of a lattice}} [[File:Lattice Path in Z2.svg|thumb|285px|Lattice path of length 5 in {{bug workaround|{{math|ℤ{{sup|2}}}}}} with {{math|1='' ...

...or '''almost lattice''' is a [[Delone set|relatively dense]] set ''X'' of points in the [[Euclidean plane]] or a higher-dimensional [[Euclidean space]] such ...uniformly discrete if there exists a number ''&epsilon;'' such that no two points of ''X'' are within distance ''&epsilon;'' of each other. A set that is bot ...

...alysis]], an '''abstract ''m''-space''' or an '''AM-space''' is a [[Banach lattice]] <math>(X, \| \cdot \|)</math> whose norm satisfies <math>\left\| \sup \{ If ''X'' is an [[Archimedean order]]ed [[vector lattice]], ''u'' is an [[order unit]] of ''X'', and ''p''_''u'' is the [[ ...

{{Short description|Theorem about circles through lattice points}} ...the [[Euclidean plane]] that passes through exactly <math>n</math> integer points.}} ...

...m zero [[Weyl vector]]. In particular it is closely related to the [[Leech lattice]] Λ, and has the [[Conway group Co1]] at the top of its [[automorphism grou The lattice II_25,1 is given by all vectors (''a''₁,...,''a''<sub> ...

...m''' or '''Hermite–Korkine–Zolotarev''' ('''HKZ''') '''algorithm''' is a [[lattice reduction]] [[algorithm]]. ...ferred for solving multiple [[closest vector problem]]s (CVPs) in the same lattice, where it can be more efficient. ...

...of numbers]] about the values taken by a [[Normed vector space|norm]] on a lattice and the volume of its fundamental cell. Let {{math|Γ}} be a [[Lattice (group)|lattice]] in {{math|'''R'''^''n''}}. The '''successive minima''' of {{mv ...

[[File:Equilateral Triangle Lattice.svg|thumb|right|A lattice in the [[Euclidean plane]].]] ...nois Press |ISBN=0-252-03098-2 }}</ref> When listed in a [[spreadsheet]] a lattice may be referred to as a '''tuning table'''. ...

...s in which the geometry of [[Lattice (group)|lattices]], repeating sets of points in the plane or higher dimensions, is used to derive results in [[number th ...contains,{{r|wills}} and the [[Gauss circle problem]] of counting lattice points in a circle centered at the origin of the plane.{{r|hoare}} ...

[[Image:HPP small.gif|thumb|Small scale demonstration of the square lattice HPP model (click the picture for animated version).]] ...ton methods levelled off in the early 1990s, due to rising interest in the lattice Boltzmann methods.<ref>Succi, section 2.6</ref> ...