Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 61 for “"Geometry and Topology"”.
-
The geometry and topology of quotient varieties
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1991.
-
Quantum Geometry and Topology in Periodically-Strained Graphene
… are artificial crystals that can support narrow bands with nontrivial valley topology. When the strain field varies slowly on the large superlattice scale, the low-energy physics in a single valley is described by the Dirac Hamiltonian with a valley-antisymmetric strain-induced pseudomagnetic …
-
Geometry and Topology of Quantum States in Quasicrystalline Systems
In this thesis we explore how geometrical and topological ideas from band theory can be extended to quasicrystalline systems. We start by studying a model of a shallow quasicrystalline optical lattice. Here we show that due to a natural hierarchy in the spectrum, an external force can be chosen …
-
On the geometry and topology of moduli spaces of multi-polygonal linkages
The geometric, topological, and symplectic properties of moduli spaces (spaces of configurations modulo rotations and translations) of polygonal linkages have been studied by Kapovich, Millson, and Kamiyama, et. al. One can form a polygonal linkage by taking two free linkages and identifying …
-
A Walk through the Forest: the Geometry and Topology of Random Systems
We prove several theorems on the geometry and topology of random walks and random forests, with analysis of the latter of these random systems often relying on analysis of the former and vice versa. The main models we consider are the static and dynamic random conductance models, the uniform …
-
The effect of geometry and topology on the mechanics of grid shells
The use of grid shell structures in architecture and structural engineering has risen in the past decade, yet fundamental research on the mechanics of such structures is lacking. Grid shells are long span structures comprised of a lattice of single layer members forming a curved surface. Grid …
-
Quantitative characterisation of the geometry and topology of pore space in 3D rock images
Abstract unavailable please refer to PDF
-
Witt groups of complex varieties
… thesis Witt Groups of Complex Varieties studies and compares two related cohomology theories that arise in the areas of algebraic geometry and topology: the algebraic theory of Witt groups, and real topological K-theory. Specifically, we introduce comparison maps from the Grothendieck-Witt and …
-
Definitions of robust structural geometries : metrics and form finding
Robustness varies highly between applications and consequently it is difficult to precisely quantify. However, robustness is a property of a structural system and thus can be described as a function of its form; in other words, as a function of topology, geometry and member properties. This thesis …
-
Digital surface representation and the constructibility of Gehry's architecture
… intent with the geometric logics of fabrication and construction. This agenda for digital representation of both formal and operational intentions, in the context of an ongoing exploration of challenging geometries, has provided new roles for computation in architectural practice. The work …
-
High Resolution Maps of the Vasculature of An Entire Organ
… a great, unsolved problem in anatomy. Network geometry and topology differ dramatically from left to right and person to person as evidenced by the superficial venation of the hands and the vasculature of the retinae. Mathematically, we may state that there is no conserved topology in vascular …
-
Multi-Objective optimization of arch bridges
… offer a wide range of geometries, materials, and topologies. This thesis studies the influence of the geometry and topology of arch bridges on both their structural performance relayed by the maximum deflection and their structural weight. Various materials are also considered to calculate the …
-
Hadwiger Integration of Definable Functions
This thesis denes and classies valuations on denable functionals. The intrinsic volumes are valuations on "tame" subsets of R^n, and by easy extension, valuations on functionals on R^n with nitely many level sets, each a "tame" subset of R^n. We extend these valuations, which we call Hadwiger …
-
Monte Carlo-Based Predictive Modeling of Geometric Defects in Cellular Truss Structures Manufacturing
… of these architectures is due to their unique geometry and topology. Complemented by structural periodicity, these mechanical metamaterials outperform conventional materials by far, by supplying a high stiffness-to-weight ratio, high heat transfer efficacy, high toughness, and superior energy …
-
Strategy development for object-oriented multiblock grid generation and adaptation to complex geometries
… treated individually at a lower level of both geometry and topology. The grid construction rules cover the questions of dealing with selection of meshing direction, generation of surface description and block topology building. To explain this grid design method, an example, dealing with a …
-
A cellular method for modeling solid features in volume data
… computer graphics research is the generation and display of models. A particular area of research in modeling has developed in recent years involving the use of three dimensional images such as those created by Magnetic Resonance Imaging (MRI), and Computed Tomography (CT). An MRI or CT image …
-
Integration of Nano CT and SEM in the Characterization of Marcellus Shale
… orientations, comparatively high clay content and its complex heterogeneity, producing and optimising production is often hindered by its challenging complexities. It is now imperative to critically understand the complexities surrounding the geology of Shale reservoirs and its …
-
Continued Radicals
… a1, a2, . . . , an are nonnegative real numbers and fj(x) = paj + x, then f1o f2o· · · fn(0) is a nested radical with terms a1, . . . , an. If it exists, the limit as n ! 1 of such an expression is a continued radical. We consider the set of real numbers S(M) representable as an infinite nested …
-
The implementation of a disambiguation marching cubes algorithm
… with emphasis on the mathematical background and the ambiguity problem of the algorithm. A simple and elegant disambiguation algorithm is then described and implemented. Finally, generated data from mathematical functions and real world data from scientific experiment are used to test the …
Page 1 of 4