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.
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Showing 1 to 18 of 18 for “"Arbitrary dimension"”.
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UNIVERSAL CONTROL OF NOISELESS SUBSYSTEMS FROM SYSTEMS WITH ARBITRARY DIMENSION
… for noiseless subsystem encodings supported by arbitrary-dimensional physical quantum systems. Implications for universal, collective decoherence-free quantum computation using the derived operations are discussed. Moreover, I will present a proposal for an optical device which is capable of …
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Limiting Properties of Certain Geometric Flows in Complex Geometry
… bundle E over a compact Kahler manifold X of arbitrary dimension. We show that in this case Donaldson's functional is bounded from below. This allows us to construct an approximate Hermitian-Einstein structure on E along the Donaldson heat flow, generalizing a classic result of Kobayashi for …
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Distributed force model for arbitrarily shaped IMPC actuators
… the blocked force output for IPMC actuators of arbitrary dimension. The ultimate goal of this work is to create a method of analysis that allows for the design of custom IPMC fingers that have specific force production and actuation properties.
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New approaches to higher-dimensional general relativity
… general relativity in more than four spacetime dimensions. Firstly, I review the generalization to higher dimensions of the algebraic classification of the Weyl tensor and the Newman-Penrose formalism. In four dimensions, these techniques have proved useful for studying many aspects of general …
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Getting a handle on contact manifolds
… of a surgery theory for contact manifolds of arbitrary dimension via convex structures, extending the 3-dimensional theory developed by Giroux. The theory is analogous to that of Weinstein manifolds in symplectic geometry, with the key difference that the vector field does not necessarily have …
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Design of sampling and interpolation systems with applications to medical imaging
… time-sequential sampling with generalized multidimensional sampling. This theory includes conditions for time-sequential patterns, temporal uniformity, and bounds on temporal parameters. The behavior of time-sequential patterns is analyzed for the case of large space-spatial bandwidth products …
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Motif discovery in sequential data
… such as protein structures and timeseries of arbitrary dimension. As more genomes are sequenced and annotated, the need for automated, computational methods for analyzing biological data is increasing rapidly. In broad terms, the goal of this thesis is to treat sequential data sets as unknown …
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Active geometric model : multi-compartment model-based segmentation & registration
… Our model can naturally deal with shapes of arbitrary dimension and topology(closed/open curves). We term our model Active Geometric Model, since it focuses on segmentation of geometric shapes. We demonstrate the power of the proposed framework in two important medical applications: one for …
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Discrete Sparse Fourier Hermite Approximations in High Dimensions
… of a function in a specified Hilbert space of arbitrary dimension is defined, and theoretical error bounds of the numerically computed approximation are proven. Computing the Fourier Hermite approximation in high dimensions suffers from the well-known curse of dimensionality. In short, as the …
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Point-line spaces related to Jordan pairs
… Loos classified all Jordan pairs with finite dimension. As a matter of fact, the list of Ottmar Loos matches in a certain way a part of the list of types of buildings given by Jacques Tits. The buildings of the types that correspond to the types of the Jordan pairs provide a class of …
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Non-parametric hypersurfaces of prescribed mean curvature in H n x R
… currents from geometric measure theory up to dimension $n leq 6$. For the proof of the interior regularity of the minimizer in arbitrary dimension $ngeq 2$ we use regularity theory of quasilinear, non-strict uniformly elliptic partial differential equations. As an addition, we give an …
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A Generic Mesh Data Structure With Parallel Applications
… approximates the medial axis of a domain of arbitrary dimension. By leveraging our data structure, a single implementation can be used for any type of mesh (e.g., 2-D, 3-D, space-time, and mixed element). Finally, we develop a hybrid approach to mesh partitioning in parallel. Using the medial …
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A Generic Data Structure with Parallel Applications
… approximates the medial axis of a domain of arbitrary dimension. By leveraging our data structure, a single implementation can be used for any type of mesh (\emph{e.g.}, 2-D, 3-D, space-time, or mixed element). Finally, we develop a hybrid approach to mesh partitioning in parallel. Using the …
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An arbitrary curvilinear coordinate particle in cell method
… method, is explored. In this method, called the Arbitrary Curvilinear Coordinate PIC (ACC-PIC) method, all essential PIC operations are carried out on a uniform, unitary square logical domain and mapped to a nonuniform, boundary fitted physical domain. We utilize an elliptic grid generation …
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Leveraging the Linear Response Theory in Sensitivity Analysis of Chaotic Dynamical Systems and Turbulent Flows
… current form is applicable to systems with one-dimensional unstable manifolds, which makes it useless for real-world models. In this thesis, we extend the concept of space-splitting to systems of arbitrary dimension, develop generic linear response algorithms for hyperbolic dynamical systems, …
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Maximum Entropy Method in Superspace Crystallography
… tool for analysis of the electron densities in arbitrary dimension. The program analyzes the MEM electron density and extracts quantitative information about the atoms according to Bader's formalism “Atoms in molecules“. Two new variants of the constraints in the MEM have been developed in order …
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Combinatorial Problems with Geometric Flavour
… a generalization of Freiman's $3k-4$ theorem to arbitrary dimension. For $\delta>0$ sufficiently small and $A\subset \mathbb{Z}^k$ with $|A+A|\le (2^k+\delta)|A|$, we show either $A$ is covered by $m_k(\delta)$ parallel hyperplanes, or it satisfies $|\coo(A)\setminus A|\le c_k\delta |A|$, where …