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Showing 1 to 20 of 40 for “"Lattice theory"”.
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Wing Optimization Technique Based on Vortex Lattice Theory
… optimization technique based on vortex lattice theory is being proposed. The technique in this work will aim at optimizing the geometric parameters of a general wing with NACA 65-210 airfoil sections under a low speed aerodynamic regime. This will be completed by performing an …
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Tensor formulations for the modelling of discrete-time nonlinear and multidimensional systems.
… formulation, a new proof of the Generalized Lattice Theory is obtained. Tensor extensions of the Levinson and Schur algorithms are presented. New two-dimensional (2-D) lattice parameter models are derived. Using the tensor form of the Generalized Lattice Theory the 2-D multi-point error …
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Supersymmetric Yang-Mills theories on the lattice
… (SYM) theories in the continuum and also on the lattice. We focus on the maximally supersymmetric twisted SYM theories in four and two dimensions. The one-loop renormalization of the lattice four-dimensional SYM theory is investigated. We also study the thermal phase structure of the maximally …
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On Coherence and the Geometry of Certain Families of Lattices
<p>The coherence of a lattice is, roughly speaking, a measure of non-orthogonality of its minimal vectors. It was introduced to lattices (by analogy with frame theory) by L. Fukshansky and others as a possible route to gaining insight into packing density, a central problem in lattice theory. In …
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A Projective Geometry as a Lattice
PROBLEM: Lattice theory and projective geometry are two seemingly unrelated branches of mathematics. With the proper approach a projective geometry can be shown to be a lattice.<br>PROCEDURE: A lattice is developed using two different approaches and group theory is introduced. Next the relationship …
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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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Knowledge Management Enviroments for High Throughput Biology
… (Formal Concept Analysis) an applied branch of lattice theory, is used in this thesis to develop a file system that automatically structures itself by it’s contents. The procedure of extracting concepts from data sets is examined. The system also finds appropriate labels for the discovered …
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Quarks and hadrons on the lattice
There is a short introduction to the ideas of lattice theory, followed by an equally brief look at pure gauge QCD on the lattice. More details for either of these may be found in the references cited in each section, as well as in [143]. The bulk of this work deals with the problems encountered in …
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Structured frames
… 1959 first articulated the view that a complete lattice with an appropriate distributivity property deserved to be studied as a generalized topological space in its own right. He called the lattice a local lattice. Here is the distributivity property: x ∧ Vxα = V(x∧xα). A map of local lattices …
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Varieties of lattices
… this problem. Here we are concerned mainly with lattice varieties, about which a wealth of information has been obtained in the last twenty years. We begin with some preliminary results from universal algebra and lattice theory. The next chapter presents some properties of the lattice of all …
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Strongly coupled fermions on the lattice
… with the pioneering work of Ken Wilson, lattice field theory has come a long way. Lattice formulations have enabled us to probe the non-perturbative structure of theories such as QCD and have also helped in exploring the phase structure and classification of phase transitions in a variety …
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Integrated aerodynamic-structural wing design optimization
… modeling for this case is provided by vortex-lattice theory and the structural model initially utilizes finite-element analyses. Even with efficient sensitivity methods, the approximate optimization problem still requires a large computational effort. To reduce this cost, a variable-complexity …
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Remainders and Connectedness of Ordered Compactifications
… is to establish the principal properties for the theory of ordered compactifications relating to connectedness and to provide particular examples. The initial idea of this subject is based on the notion of the Stone-Cech compactification.<br />The ordered Stone-Cech compactification oX of an …
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Euclidean Dynamical Triangulations: Running Couplings and Curvature Correlation Functions
… relying on the powerful computational tool of lattice methods. Gravity has so far eluded a quantum field theory description, leading many to consider alternate theories like String Theory. However, recent results in lattice quantum gravity have brought some renewed interest in the subject. …
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Numerical Wing/Store Interaction Analysis of a Parametric F16 Wing
… of ABAQUS/Standard and the Unsteady-Vortex-Lattice Method. Both codes communicate through an iterative handshake procedure during which displacements and air loads are updated. For each increment in time the force/displacement equilibrium is found in this manner. The wing, pylon, and store …
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On Lattices of Continuous Functions
No abstract prepared.
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Charmonium and Charmed Mesons With Improved Lattice QCD
… properties of charmonium and charmed mesons with lattice QCD. The calculations use improved actions and 2+1 flavors of dynamical quarks. After a review of the relevant phenomenology, I provide an introduction to lattice techniques including the specific actions used in this analysis. Details of …
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Machine Learning and Variational Algorithms for Lattice Field Theory
Discretizing fields on a spacetime lattice is the only known general and non-perturbative regulator for quantum field theory. The lattice formulation has, for example, played an important role in predicting properties of QCD in the strongly coupled regime, where perturbative methods break down. To …
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Characterizations of Planar Lattices by Left-relations
… and visual representation of planar lattices. The manifold existing approaches and algorithms are thereby considered under a different point of view. It is well known that exactly the planar lattices (or planar posets) possess an additional order ``from left to right''. Our aim in …
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