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searching for Dual lattice 17 found (29 total)

Square lattice Ising model (1,792 words) [view diff] exact match in snippet view article find links to article

s ) + L ( N − 2 r ) {\displaystyle e^{K(N-2s)+L(N-2r)}} Construct a dual lattice Λ D {\displaystyle \Lambda _{D}} as depicted in the diagram. For every

Geometric lattice (1,190 words) [view diff] exact match in snippet view article find links to article

dual lattice, the lattice that has the same elements as L {\displaystyle L} in the reverse order. They are not the same, and indeed the dual lattice is

Ride Entertainment Group (658 words) [view diff] case mismatch in snippet view article find links to article

The Skycoaster® at Elitch Gardens in Denver, Colorado is a Dual Lattice 173-foot Skycoaster.

Gosset graph (450 words) [view diff] exact match in snippet view article find links to article

(2011), "Delone and Voronoĭ polytopes of the root lattice E7 and the dual lattice E7*", Trudy Matematicheskogo Instituta Imeni V. A. Steklova, 275: 68–86

16-cell honeycomb (715 words) [view diff] exact match in snippet view article find links to article

119 Conway and Sloane, Sphere packings, lattices, and groups, 7.4 The dual lattice D3*, p.120 Conway and Sloane, Sphere packings, lattices, and groups,

Root datum (543 words) [view diff] exact match in snippet view article find links to article

of characters of the maximal torus, X ∗ {\displaystyle X_{*}} is the dual lattice (given by the 1-parameter subgroups), Φ {\displaystyle \Phi } is a set

Langlands dual group (936 words) [view diff] exact match in snippet view article find links to article

Δv), where X* is the lattice of characters of a maximal torus, X* the dual lattice (given by the 1-parameter subgroups), Δ the roots, and Δv the coroots

Vámos matroid (1,009 words) [view diff] exact match in snippet view article find links to article

coding theory. The Vámos matroid has no adjoint. This means that the dual lattice of the geometric lattice of the Vámos matroid cannot be order-embedded

Uniform module (1,349 words) [view diff] exact match in snippet view article find links to article

that the hollow dimension of a module was the uniform dimension of its dual lattice of submodules. It is always the case that a finitely cogenerated module

Heterotic string theory (570 words) [view diff] exact match in snippet view article find links to article

The mismatched 16 dimensions must be compactified on an even, self-dual lattice (a discrete subgroup of a linear space). There are two possible even

Toric code (3,878 words) [view diff] exact match in snippet view article find links to article

{\displaystyle v} and plaquette[definition needed] (or face i.e. a vertex of the dual lattice)[clarification needed] p {\displaystyle p} of the lattice as follows

Modular lattice (2,417 words) [view diff] exact match in snippet view article find links to article

self-dual notion. A dual modular pair is a pair which is modular in the dual lattice, and a lattice is called dually M-symmetric or M*-symmetric if its dual

Building (mathematics) (3,189 words) [view diff] exact match in snippet view article

bilinear form with orthonormal basis vi, the map sending a lattice to its dual lattice gives an automorphism whose square is the identity, giving the permutation

Complex torus (5,881 words) [view diff] exact match in snippet view article find links to article

\chi (\cdot )=\exp \left(2\pi iv^{*}(\cdot )\right)} for some fixed dual lattice vector v ∗ ∈ Λ ∗ {\displaystyle v^{*}\in \Lambda ^{*}} . This gives the

Hamming(7,4) (2,675 words) [view diff] exact match in snippet view article

lattice and, in fact, can be used to construct it, or more precisely, its dual lattice E7∗ (a similar construction for E7 uses the dual code [7,3,4]2). In particular

Percolation threshold (15,631 words) [view diff] exact match in snippet view article find links to article

two types of polygons on the dual lattice. The lattice has vertex types (1⁄2)(33,42) + (1⁄2)(3,4,6,4), while the dual lattice has vertex types (1⁄15)(46)+(6⁄15)(42

Vertex operator algebra (8,906 words) [view diff] exact match in snippet view article find links to article

xi,12 + s2 must satisfy (s, λ) ∈ Z for all λ ∈ Λ, i.e., s lies in the dual lattice. If the even lattice Λ is generated by its "root vectors" (those satisfying