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...of lattice points in the plane has a large subset whose centroid is also a lattice point}} ...]] whose [[centroid]] is also a lattice point. It was proved independently in the autumn of 2003 by [[Christian Reiher]], then an undergraduate student, ...

...on|Correlation-type inequality for four functions on a finite distributive lattice}} ...r functions on a finite [[distributive lattice]]. It is a fundamental tool in [[statistical mechanics]] and [[Combinatorics#Probabilistic_combinatorics|p ...

...he [[Riesz space#Projection properties|principal projection property]] can in a sense be approximated uniformly by [[simple function]]s. ...e [[Poisson kernel|Poisson formula]] and the [[spectral theorem]] from the theory of [[normal operator]]s can all be shown to follow as special cases of the ...

{{Short description|Graded lattice with modular maximal chain}} ...relationship. The definition encapsulates many of the nice properties of [[lattice of subgroups|lattices of subgroups]] of [[supersolvable group]]s. ...

{{dablink|For other theorems of Jacobi see [[Jacobi's theorem (disambiguation)]].}} In [[number theory]], '''Jacobi's four-square theorem''' gives a formula for the number of way ...

...g|first=D.|author-link=David Tong (physicist)|title=Lecture Notes on Gauge Theory|chapter=4|pages=232|date=2018|chapter-url=https://www.damtp.cam.ac.uk/user/ == Lattice regularization == ...

{{Short description|Class of algebraic theorems}} '''Local rigidity''' theorems in the theory of discrete subgroups of [[Lie group]]s are results which show that small d ...

...or=S. Kaijser |title=A New Proof of the Fundamental Lemma of Interpolation Theory |journal=Mathematica Scandinavica |volume=78 |issue=2 |year=1996 |pages=266 ...Let <math>\bar{A} = (A_0, A_1)</math> be a Banach couple and let <math>a \in \Sigma(\bar{A})</math> be such that <math>\min(1,1/t)K(t,a) \to 0</math> wh ...

:''This is about [[lattice theory]]. For other similarly named results, see [[Birkhoff's theorem (disambiguat ...s way. It is named after [[Garrett Birkhoff]], who published a proof of it in 1937.<ref name="birkhoff">{{harvtxt|Birkhoff|1937}}.</ref> ...

In mathematics, a '''Leavitt path algebra''' is a universal algebra constructe Leavitt path algebras were simultaneously introduced in 2005 by [[Gene Abrams]] and Gonzalo Aranda Pino<ref>Abrams, Gene; Aranda Pi ...

...itz numbers svg.svg|thumb|400px|[[Hasse diagram]] of the [[lattice (order)|lattice]] of supernatural numbers; primes other than 2 and 3 are omitted for simpli ...-251}} in 1910 as a part of his work on [[Field theory (mathematics)|field theory]]. ...

...e [[complex number]]s <math>\mathbb{C}</math>) to linear operators valued in [[topological vector space]]s (TVSs). In order for a TVS {{mvar|Y}} to have the extension property, it must be [[Com ...

.../bfm%3A978-3-540-38933-0%2F1.pdf|chapter=Front matter|series=Lecture Notes in Computer Science |isbn=3-540-13378-X |s2cid=7488558 }}</ref> ...point <math>\mu (x, y).(f, g)(x, y)</math>, a pair <math>(x_0, y_0)</math> in <math>P \times Q</math> such that <math>f (x_0, y_0) = x_0</math> and <math ...

...r]]-limited function from its measurements on a discrete [[Lattice (group)|lattice]] of points. This result, also known as the '''Petersen–Middleton theorem'' ...rovided the lattice is fine enough. The theorem provides conditions on the lattice under which perfect reconstruction is possible. ...

...omenon can be reformulated entirely in terms of gauge invariant quantities in what is known as the Fröhlich–Morchio–Strocchi mechanism.<ref>{{cite journa ==Theory== ...

...usly studied independently. Among other benefits, this provides a context in which one can formulate [[theorem]]s that apply simultaneously to all of th ...has particular properties, describe the lattice of ideals, and compute [[K-theory|K-theoretic]] invariants. ...

...m of two squares theorem are squares of possible distances between integer lattice points; values up to 100 are shown, with |valign="top"|•||Squares (and thus integer distances) in red, and ...

In [[condensed matter physics]], '''Luttinger's theorem'''<ref> ...high-temperature superconductivity|high-temperature superconductor]]s, and in [[photoemission]], where a metal's [[Fermi surface]] can be directly observ ...

{{Short description|Theorem in sampling theory}} ...n of signals with arbitrary frequency support |journal=IEEE Trans. Inform. Theory |volume=45 |issue=5 |pages=1555–1564|doi=10.1109/18.771158 |citeseerx=10.1. ...

...|Kőnig|1936}}</ref> and [[mathematical proof|proved]] by [[Robert Frucht]] in 1939.<ref>{{harvtxt|Frucht|1939}}</ref> It states that every [[finite group ...ly two [[Orbit (group theory)|orbit]]s. Therefore, the number of vertices in the graph is at most twice the order of the group. With a larger set of exc ...