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Truncated Distributive Lattices: Conceptual Structures of Simple-Implicational Theories
Order, 2003A truncated distributive lattice is a lattice \(L\) with 0 such that there is a distributive lattice \(D\) in which \(L\setminus\{0\}\) is a proper order filter. A simple-implicational theory is a triple \(\mathcal{T}=(M,R,\mathcal{A})\), where \(M\) is a non-empty set, \(R\) is a binary relation on \(M\), and \(\mathcal{A}\) is a set of subsets of \(M\
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Lattice theory of fracture of solids with layered structure
Journal of Applied Physics, 1988The lattice trapping effect of a crack in solids with layered structure has been studied with a double-chain model. It is shown that the difference in physicomechanical properties between different atomic planes has significant influence upon this effect, and the stress range for stability of a crack can be enhanced by increasing the difference.
Decheng Tian +3 more
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Structural stability of rhenium as a function of lattice compression: Theory
Physical Review B, 1988Total-energy, linearized augmented Slater-type orbital calculations have been done for rhenium as a function of lattice volume in response to recent experiments addressing the issue of whether the hcp phase of Re becomes unstable, with respect to the bcc phase, at high pressures.
, Watson +3 more
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Structure and Decomposition Theory of Lattices
1990One of the most natural problems which arise in the investigation of an abstract algebraic system is that of representing the elements of the system in terms of a canonical subset by means of the operations of the system. Thus for a polynomial domain over a field with the operation that of ordinary polynomial multiplication it is the problem of ...
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Phase structure of non-Abelian lattice gauge theories
Physical Review D, 1980The phase structure of four-dimensional lattice gauge theories based on finite non-Abelian groups is studied by Monte Carlo computations. All models examined exhibit a two-phase structure with a first-order phase transition. In three systems where the gauge group is a discrete subgroup of SU(2) the critical temperature moves toward zero as the order of
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Structural diversity in the lattice of equational theories
Algebra Universalis, 1981This paper is principally concerned with conditions under which various partition lattices are isomorphic to intervals in either the lattice of equational theories extending a given equational theory or the lattice of subtheories of a given equational theory.
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Ginzburg-Landau theory of vortex lattice structure in deformable anisotropic superconductors
Physical Review B, 1995Correlation between the crystal lattice and the vortex lattice in anisotropic (uniaxial) type-II superconductors due to magnetoelastic interactions is studied theoretically. Within the strain-dependent Ginzburg-Landau model, the energy of the magnetoelastic interaction of the vortex lattice is evaluated with the \ensuremath{\Delta}V effect (difference ...
, Miranovic +2 more
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A lattice theory approach to the structure of mental models
Philosophical Transactions of the Royal Society of London. B, Biological Sciences, 1990Lattice theory is proposed to provide a formalism for the knowledge base used as a mental model by the operator of a complex system. The ordering relation ‘>’ is interpreted as ‘is caused by’, and the lattice becomes a representation of the operator’s causal hypotheses about the system.
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Phase Structure of Finite Temperature Lattice Gauge Theories
1985The last few years have seen increasing interest in the study of quantum field theories at nonvanishing temperature or density. To a large extent this interest comes from the desire to use the modern particle theories in cosmology, especially in the attempts to understand the very early history of the universe [l,2,3].
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Lattice-Dynamical Theory of Structural Phase Transition in Quartz
Journal of the Physical Society of Japan, 1974A lattice dynamical theory is developed for the phase transition in quartz, and the behaviours of various quantities in the vicinity of the transition temperature are discussed. At temperatures well away from the transition, these behaviours can be interpreted within the framework of the Landau theory. However, drastic deviations from the theory appear
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