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 2945 for “"metric"”.
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Quasi-metric geometry
… one sees |x-y|, one is looking at a specific metric acting on x and y, whatever they may happen to be, usually numbers or vectors. The notion of the distance between two objects is one of the most fundamental and ubiquitous in many branches of mathematics. A quasi-metric is a generalization of …
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Computational metric embeddings
… computing a low-distortion embedding between two metric spaces. More precisely given an input metric space M we are interested in computing in polynomial time an embedding into a host space M' with minimum multiplicative distortion. This problem arises naturally in many applications, including …
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Variable buoyancy system metric
… compare fundamentally different VB systems, two metrics, βm and βvol, are developed and applied to current systems. By determining the ratio of performance to size, these metrics give engineers a tool to aid VB system development. Finally, the fundamental challenges in developing more advanced VB …
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Metric Representations Of Networks
… by first projecting them onto structured metric-like spaces -- governed by a generalized triangle inequality -- and then leveraging this structure to facilitate the analysis. Networks encode relationships between pairs of nodes, however, the relationship between two nodes can be …
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Metric Segments and Lines
This paper examines segments and lines of a metric space. It describes their properties and characteristics in general and those properties that arise from limiting the space to complete, compact, and/or convex spaces.
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Probabilistic performance metric elicitation
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-11-11 without embargo terms
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Combinatorics and Metric Geometry
This thesis consists of an introduction and seven chapters, each devoted to a different combinatorial problem. In Chapters 1 and 2, we consider the main subject of this thesis; the sharp stability of the Brunn-Minkowski inequality (BM). This celebrated theorem from the 19th century asserts that for …
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Variable buoyancy system metric
… compare fundamentally different VB systems, two metrics, [beta]m and [beta]vol, are developed and applied to current systems. By determining the ratio of performance to size, these metrics give engineers a tool to aid VB system development. Finally, the fundamental challenges in developing more …
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An Assessment of the use of Photogrammetry in Cranial Metric and Non-Metric Studies
… to easily collect and process cranial metric and non-metric data that can be used to quantify biological relatedness. While these advances are expected to continue, it is ignorant to assume that they represent a fail proof solution. A critical examination is necessary to quantify the …
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Some Metric Theorems on Polynomials
The theory of metric Diophantine approximation can be studied from many di�erent perspectives. The problems studied in this thesis all concern questions on integer polynomials. Simultaneous rational approximation to integer polynomials is studied in the p-adic metric. Next, the nature of the …
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Fraisse Theory for Metric Structures
We also prove a theorem, in the setting of continuous model theory, that is a generalization of a theorem of H. D. Macpherson about the automorphism groups of o-categorical structures.
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Lusin's Theorem in Metric Theory
Made available in DSpace on 2014-12-05T21:50:24Z (GMT). No. of bitstreams: 1 6402863.pdf: 1015761 bytes, checksum: 6f09e643c3a10dfed6b9bd9facdf6ec3 (MD5) Previous issue date: 1963
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Boolean-valued probabilistic metric spaces
… closely resembling the theory of probabilistic metric spaces. In this development the complete Boolean algebra used must have the form of the quotient algebra of some atomless probability space ($\Omega,{\cal A},P$) modulo its class of null sets. In this setting the real numbers in the Boolean …
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Metric aspects of zoom vision
… for affine scaling (K), one parameter of symmetric radial lens distortion (L$\sb1$), and two parameters of lens decentering distortion (P$\sb1$ and P$\sb2$). With the exception of affine scaling, these parameters were effected by changes in the focal length and were modeled as functions of f …
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Convexity in quasi-metric spaces
… an injective hull in the categories of T-quasi-metric spaces and of T-ultra-quasi-metric spaces with nonexpansive maps.
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Metric Geometry of Finite Subset Spaces
… of X is the H(X)-geometry of X. By a (C-) geometric property of X we will mean a property of X that is preserved by homeomorphisms of X (in C). Metric geometry of a space X refers to the study of geometry of X in terms of notions of metrics (e.g., distance, or length of a path, between points) …
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Geometric Properties of the Ferrand Metric
… investigate the differentiability of the Ferrand metric-density and find a sufficient condition that implies that the Ferrand metric-density is not differentiable and that the Ferrand Gaussian curvature is negative infinity at a point. We prove that a closed Euclidean ball, closed half-space, or …
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Metric aspects of reconnaissance frame photography
No abstract available.
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Photogrammetric Potential of Non-Metric Cameras
Made available in DSpace on 2014-12-10T22:22:10Z (GMT). No. of bitstreams: 1 7500247.pdf: 4294891 bytes, checksum: 95d7aa8af3a462246deb599d79855cfb (MD5) Previous issue date: 1974
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