Results 261 to 270 of about 5,823,067 (304)

The Lattice Theory of Ova

The Annals of Mathematics, 1939
1. In a series of previous papers,2 we have developed the theory of residuated lattices; that is, lattices over which a multiplication and associated residuation may be defined with the same properties as in polynomial ideal theory. Here we reverse our procedure and start with a system closed under a single suitably restricted operation of ...
Ward, Morgan, Dilworth, R. P.
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LATTICE FIELD THEORY

International Journal of Modern Physics E, 2007
Starting with the example of the quantum mechanical harmonic oscillator, we develop the concept of euclidean lattice field theory. After describing Wilson's formulation of quantum chromodynamics on the lattice, we will introduce modern lattice QCD actions which greatly reduce lattice artefacts or are even chiral invariant.
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Lattice Gauge Theories

AIP Conference Proceedings, 1989
In quantum mechanics non classical trajectories are allowed with a probability: $$ P\{ x(t)\} = {e^{ - {{S\{ x(t)\} } \over h}}} $$ (1) where the time is euclidean (t ---> it) and $$ P\{ x(t)\} = \int\limits_{ - \infty }^\infty {L[x(t),\dot x(t)]} $$ (1) When h goes to zero, the probability peaks at the minimum of the action , the ...
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On The Lattice Theory of Expansion

Proceedings of the Physical Society, 1959
An investigation has been made of the expansion coefficient of two-dimensional lattices - ionic lattices and the close packed hexagonal lattice with central forces. A survey has been made of the Gruneisen constants γν of a representative set of vibrations in reciprocal space. From these a set of functions are constructed from which the variation of the
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The lattice theory of information

Transactions of the IRE Professional Group on Information Theory, 1953
The word "information" has been given many different meanings by various writers in the general field of information theory. It is likely that at least a number of these will prove sufficiently useful in certain applications to deserve further study and permanent recognition.
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Lattice Theory of Continuous Lattices

1980
Here we enter into the discussion of our principal topic. Continuous lattices, as the authors have learned in recent years, exhibit a variety of different aspects, some are lattice theoretical, some are topological, some belong to topological algebra and some to category theory—and indeed there are others.
Gerhard Gierz   +5 more
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On filter theory of residuated lattices

Information Sciences, 2010
The authors study filters, Boolean filters (implicative filters), G-filters (positive implicative filters), MV-filters (fantastic filters) and also the corresponding fuzzy filters, fuzzy Boolean filters (fuzzy implicative filters), fuzzy G-filters (fuzzy positive implicative filters), fuzzy MV-filters (fuzzy fantastic filters) of a residuated lattice ...
Yiquan Zhu, Yang Xu 0001
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The quantum theory of lattice dynamics

Physics Letters A, 1968
Abstract The dynamics of a crystal is examined on the basis of the adiabatic approximation. In part I we examine the form of the dynamical and anharmonic tensors on the assumption that the effective nuclear potential energy can be represented as a simple two-body interaction.
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Super lattices and gauge theory

Physical Review D, 1985
There has been a fundamental flaw in all previous attempts to put supersymmetry on the lattice. Because supersymmetry closes on the Poincare group, and since the Wilson lattice breaks Poincare invariance, the standard lattice must necessarily break supersymmetry.
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