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 20 of 5045 for “"dimension"”.
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Dimension Theory
We explore the concept of dimension using mathematical tools. We start by providing definitions, examples, and basic properties for two types of topological dimension: small inductive dimension and large inductive dimension. We then repeat this process to investigate a type of fractal dimension …
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Fourth Dimension
In the basement preservation lab, figures were lifted onto cloth by the German head of cultural policy with gloves while the Nigerian delegation joined to discuss their return. The empty gallery rooms above them, reserved for these Benin Bronzes, still had white pedestals wrapped in plastic, pumps …
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Computability and Fractal Dimension
… theory and various notions of fractal dimension, mainly Hausdorff dimension. An algorithmic approach to Hausdorff measures makes it possible to define the Hausdorff dimension of individual points instead of sets in a metric space. This idea was first realized by Lutz (2000). Working in …
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Estimating the Hausdorff dimension
… of the fractal, or Hausdorff-Besicovitch, dimension. However, no statistical properties of the usual estimator, the entropy estimator, are known. In addition, the entropy estimator is biased high when an inefficient net is used. This dissertation develops a new estimator, the relative …
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Lyapunov Exponents, Entropy and Dimension
… a development of measure theoretic entropy and dimension. The main result, due to L.S. Young, is that for certain diffeomorphisms of a surface, there is a beautiful relationship between these three concepts; namely that the entropy equals dimension times expansion.
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Quantization Dimension for Probability Definitions
… supported on a finite set. The quantization dimension Dr of a probability is related to the asymptotic rate at which the expected distance (raised to the rth power) to the support of the quantized version of the probability goes to zero as the size of the support is allowed to go to infinity. …
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Culture : a dimension in design
Building is one of the earliest activities of man, whether building for shelter or for more complex symbolic needs the act of building was not a simple reactionary performance but rather was a behavioural process which embodied the total pattern of physical and intellectual forces acting from …
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Cohomological dimension for C*-algebras
… for C*-algebras that arise as cohomological dimensions for associated categories of operator space modules. The setting of exact categories provides us with a robust framework to utilise homological techniques.<br/><br/>We develop initial global dimension theorems for two of these categories. …
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Exploration of the fractal dimension
… and experimental determination of the fractal dimension of different sets. It contains both pure and applied topics. After establishing the ground rules, we look at ways to calculate the fractal dimension of fractal interpolation functions and we end the study with an experiment consisting in …
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Exotic Phenomena in Dimension Four
… of the smooth and topological categories in dimension 4. We first discuss lists of homeomorphic 4-manifolds with non-equivalent “exotic” smooth structures, and show that any finite list of smooth, closed, simply-connected 4-manifolds that are homeomorphic to a given one X can be obtained by …
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Robust and Constrained Dimension Reduction
"The well-known ""curse of dimensionality"" makes high-dimensional data analysis unusually challenging. Dimension reduction plays a valuable role in enabling certain statistical analyses performed in a parsimonious way. The canonical correlation (CANCOR) method developed by Fung et al. (2002) is …
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Dependence testing in high dimension
"The study of dependence for high dimensional data originates in many different areas of contemporary research. While a lot of existing work focuses on measuring the linear dependence and monotone dependence for fixed dimensional data, comparatively less is concerned for more complex dependence …
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The dimension of causal sets
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1989.
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Movement in the fourth dimension
a pause at the end of an architectural beginning a place to synthesize ideas and preoccupations a study of time and movement A design for a magical world— the meeting of land and water
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Cantor Minimal Systems and Dimension Groups
… of topological spaces and homeomorphisms. Dimension groups provide a classification up to strong orbit equivalence of minimal Z^d-actions on a Cantor set. The range of such dimension groups for d>1 is still an open question. It appears as if symbolic dynamical systems may be a fruitful …
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Sufficient Dimension Reduction with Missing Data
Existing sufficient dimension reduction (SDR) methods typically consider cases with no missing data. The dissertation aims to propose methods to facilitate the SDR methods when the response can be missing. The first part of the dissertation focuses on the seminal sliced inverse regression (SIR) …
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On Gorenstein Rings and G-Dimension
… and characterized, and the concept of Gorenstein dimension, which parallels projective dimension for modules and rings, is introduced.</p>
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Exploring animacy as a mnemonic dimension
… it means to be a living thing, is a foundational dimension of human cognition. In perception, animates both capture attention (Pratt, Radulescu, Guo, & Abrams, 2010) and are relatively immune to change blindness (New, Cosmides, & Tooby, 2007). Developmental work places the animate-inanimate …
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