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...

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...

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...

if we interpret a [ as going up and ] as going down. Dyck congruence Lattice word Hewitt, John; Hahn, Michael; Ganguli, Surya; Liang, Percy; Manning, Christopher...

the sequence obtained by concatenating its reversed rows is a lattice word (or lattice permutation), which means that in every initial part of the sequence...

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...

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,...

A lattice is a partially ordered set that is both a meet- and join-semilattice with respect to the same partial order. Algebraically, a lattice is a...

rather the topology generated by the union. Every complete lattice is also a bounded lattice, which is to say that it has a greatest and least element...

227). Although often called the diamond lattice, this structure is not a lattice in the technical sense of this word used in mathematics. Diamond's cubic...

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...

Heyting algebra). The word problem on free lattices and more generally free bounded lattices has a decidable solution. Bounded lattices are algebraic structures...

a Heyting algebra (also known as pseudo-Boolean algebra) is a bounded lattice (with join and meet operations written ∨ and ∧ and with least element 0...

is an American mathematician who contributed to lattice theory, particularly the theory of free lattices. Living in Pittsburgh, he attended the Haverford...

hardware and retired the service in the late 2000s. The LatticeECP3 FPGAs from Lattice Semiconductor include multiplier slices that can be configured...

case of greedoids and of semimodular lattices, and as a generalization of partial orders and of distributive lattices. Antimatroids are equivalent, by complementation...

semilattice" in some publications. Originally, Dana Scott demanded a complete lattice, and the Russian mathematician Yuri Yershov constructed the isomorphic...

elsewhere, such as in Britain, South Africa, India and Australia, have a lattice-like structure, with a higher percentage of shaded squares (around 25%)...

A lattice phase equaliser or lattice filter is an example of an all-pass filter. That is, the attenuation of the filter is constant at all frequencies...

properties are preserved by Knuth equivalence. If a word is a reverse lattice word, then so is any word Knuth equivalent to it. If two words are Knuth equivalent...

Self-complementary graph, a graph which is isomorphic to its complement Complemented lattice Complement of an angle, the difference between a right angle (90 degrees)...

support crossbeams and a sturdy open lattice, often upon which woody vines are trained. The origin of the word is the Late Latin pergula, referring to...

hyperplanes. The faces of a convex polytope thus form an Eulerian lattice called its face lattice, where the partial ordering is by set containment of faces...

a means of calculating lattice energy (or more precisely enthalpy), which cannot otherwise be measured directly. The lattice enthalpy is the enthalpy...

crystal lattice studies under the tutelage of Wolfgang Pauli. Peierls wrote, "…I used the German term Umklapp (flip-over) and this rather ugly word has remained...

lattice: a lattice in which arbitrary meet and joins exist. Bounded lattice: a lattice with a greatest element and least element. Distributive lattice: a lattice...

generation Mathieu groups, seven second generation subquotients of the Leech lattice, and eight third generation subgroups of the friendly giant. The remaining...

"prove" them Umbral moonshine, a mysterious connection between Niemeier lattices and Ramanujan's mock theta functions Francisco Umbral (1932–2007), Spanish...

cancellarii of Roman courts of justice—ushers, who sat at the cancelli (lattice work screens) of a basilica (court hall), which separated the judge and...

before the advent of QCD. Lattice simulations have confirmed all his generic predictions. Physicist Murray Gell-Mann coined the word quark in its present sense...