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Showing 1 to 20 of 520 for “"Lattices"”.
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Dicomplemented Lattices
Das Ziel dieser Arbeit ist es die mathematische Theorie der Begriffsalgebren zu entwickeln. Wir betrachten dabei hauptsaechlich das Repraesentationsproblem dieser vor Kurzem eingefuehrten Strukturen. Motiviert durch die Suche nach einer geeigneten Negation sind die Begriffsalgebren entstanden. Sie …
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Unilinear Residuated Lattices
<p>We characterize all residuated lattices that have height equal to 3 and show that the variety they generate has continuum-many subvarieties. More generally, we study unilinear residuated lattices: their lattice is a union of disjoint incomparable chains, with bounds added. We give the …
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Varieties of lattices
… Freese's theorem that the variety of all modular lattices is not generated by its finite members, and several results concerning the question which varieties cover a given variety. The fourth chapter contains a proof of Baker's finite basis theorem and some results about the join of finitely based …
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COUPLING OF QUADRATIC LATTICES
… \noindent TITLE: COUPLING OF QUADRATIC LATTICES % Change title above and put all in CAPS \vspace{14pt} \noindent MAJOR PROFESSOR: Dr. A. Earnest \vspace{14pt}\\ The subject of this dissertation is the representation theory of quadratic lattices over the ring of rational integers and its …
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Categories of Residuated Lattices
… constructions of certain classes of residuated lattices: The Galatos-Raftery construction of Sugihara monoids and their bounded expansions, and the Aguzzoli-Flaminio-Ugolini quadruples construction of srDL-algebras. Our dual presentation of these constructions is facilitated by both new …
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Projections in Vector Lattices
Made available in DSpace on 2014-12-11T18:23:53Z (GMT). No. of bitstreams: 1 7309990.pdf: 2651894 bytes, checksum: 1d9d5af09044ce0d61c73673ffe66bbc (MD5) Previous issue date: 1972
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On Lattices of Continuous Functions
No abstract prepared.
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Photon Statistics in Disordered Lattices
… coherent light traversing disordered photonic lattices and its dependence on the disorder class, the level of disorder and the excitation configuration at the input. Throughout the dissertation, two disorder classes are considered, namely, diagonal and off-diagonal disorders. The latter …
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Compactons in strongly nonlinear lattices
… we study wave phenomena in strongly nonlinear lattices. Such lattices are characterized by the absence of classical linear waves. We demonstrate that compactons – strongly localized solitary waves with tails decaying faster than exponential – exist and that they play a major role in the …
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Dynamics of disordered harmonic lattices
<p>"Extensive numerical and analytic studies of vibrational spectra, normal modes, thermodynamic properties, and dynamical properties of harmonic systems with varying degrees of substitutional disorder have been made. The effects on observable properties of random mixtures of two or more species of …
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Orthomodular Lattices and Cut Elimination
… word problem for freely generated orthomodular lattices. It was a proof theoretical 'partial' cut elimination procedure.
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Banach Lattices of Compact Maps
Made available in DSpace on 2014-12-11T18:23:52Z (GMT). No. of bitstreams: 1 7309897.pdf: 1722590 bytes, checksum: b1c8a9d698d2ffde88e8b4952af9222d (MD5) Previous issue date: 1972
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Blocks and virtually irreducible lattices
Theorem (5.11). Let H be a subgroup of G and let b be an admissible block of SH with defect group D. If every automorphism of D which preserves conjugacy classes is an inner automorphism, then there is a virtually irreducible SH-lattice in b with vertex D such that U$\sp{\rm G}$ = V $\oplus$ W with …
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Compactness in asymmetrically normed lattices.
… in the setting of asymmetrically normed lattices. In order to do this, it was necessary to study convergence of sequences and left-K-sequential completeness and precompactness of subsets of such spaces.
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The theory of linear lattices
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 1984
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Determinants of matrices over lattices
… for the determinant of a matrix over arbitrary lattices have been developed to determine which properties and relations were reminiscent of the determinant or permanent of elementary algebra. In each determinant there are properties concerning: the elements of the matrix in the expansion of its …
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Localization properties of nonlinear disordered lattices
… of nonlinear disordered one dimensional lattices is investigated. Part I gives an introduction to the phenomenon of Anderson Localization, the Discrete Nonlinear Schroedinger Equation and its properties as well as the generalization of this model by introducing the nonlinear index α. In …
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A new class of auxetic lattices
… and thermal behavior of a new class of auxetic lattices. We have started introducing a novel two-dimensional lattice family with three different realizations that leads to a Poisson's ratio arbitrarily close to the thermodynamic limit corresponding to ν = -1. The effect is achieved by the …
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Ultra-Cold Atoms on Optical Lattices
In the second half of the dissertation, we investigate the problem of vortex trapping in cyclically coupled Bose-Josephson junctions. Starting with N independent BECs we couple the condensates through Josephson links and allow the system to reach a stable circulation by adding a dissipative term in …
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