Definition, Betydelse & Anagram | Engelska ordet LATTICES

Definition av LATTICES

1. böjningsform av lattice

Exempel på hur man kan använda LATTICES i en mening

• Felix Bloch made fundamental theoretical contributions to the understanding of ferromagnetism and electron behavior in crystal lattices.
• Crystalline materials (mainly metals and alloys, but also stoichiometric salts and other materials) are made up of solid regions of ordered matter (atoms placed in one of a number of ordered formations called Bravais lattices).
• In mathematics, pointless topology, also called point-free topology (or pointfree topology) and locale theory, is an approach to topology that avoids mentioning points, and in which the lattices of open sets are the primitive notions.
• More specific complete lattices are complete Boolean algebras and complete Heyting algebras (locales).
• Particular definitions of congruence can be made for groups, rings, vector spaces, modules, semigroups, lattices, and so forth.
• 1928 – Felix Bloch applies quantum mechanics to electrons in crystal lattices, establishing the quantum theory of solids.
• In computer science, abstract interpretation is a theory of sound approximation of the semantics of computer programs, based on monotonic functions over ordered sets, especially lattices.
• Since complete lattices cannot be empty (they must contain a supremum and infimum of the empty set), the theorem in particular guarantees the existence of at least one fixed point of f, and even the existence of a least fixed point (or greatest fixed point).
• Tetragonal crystal lattices result from stretching a cubic lattice along one of its lattice vectors, so that the cube becomes a rectangular prism with a square base (a by a) and height (c, which is different from a).
• Broader applications have since been developed that cover connectivity of many systems modeled as lattices or graphs, analogous to connectivity of lattice components in the filtration problem that modulates capacity for percolation.
• His contributions in the subsequent 35 years of his career include transfer grammar, string analysis (adjunction grammar), elementary sentence-differences (and decomposition lattices), algebraic structures in language, operator grammar, sublanguage grammar, a theory of linguistic information, and a principled account of the nature and origin of language.
• A morphism of distributive lattices is just a lattice homomorphism as given in the article on lattices, i.
• In 1967 Bjarni Jónsson found the conditions for varieties having congruence lattices that are distributive (thus called congruence-distributive varieties), while in 1969 Alan Day did the same for varieties having congruence lattices that are modular.
• The prototypical properties that were discussed for Boolean algebras in the above section can easily be modified to include more general lattices, such as distributive lattices or Heyting algebras.
• In some it takes the form of relatively simple spicules, but in others it forms more elaborate lattices, such as concentric spheres with radial spines or sequences of conical chambers.
• The lattice of noncrossing partitions of a finite set forms a subset of the lattice of all partitions, but not a sublattice, since the join operations of the two lattices do not agree.
• Quantizers, or analog-to-digital converters, can use lattices to minimise the average root-mean-square error.
• Other examples of mathematical objects obeying axioms of countability include sigma-finite measure spaces, and lattices of countable type.
• Serpentine minerals are polymorphous, meaning that they have the same chemical formulae, but the atoms are arranged into different structures, or crystal lattices.
• In four dimensions, there are 64 uniform polychora aside from two infinite families of duoprisms and antiprismatic prisms, and 64 Bravais lattices.

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