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 7669 for “"geometry"”.
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Inner geometry
1 PDF file (ii, 2 pages)
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Geometry Of Quivers
<p>A quiver is a directed graph, but the term usually implies such a graph is being considered along with representations. These representations consist of vector spaces and linear transformations. We explore some the connections between quivers and geometric structures. To begin, we consider a …
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Quasi-metric geometry
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI-COLUMBIA AT AUTHOR'S REQUEST.] Every time 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 …
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Foundations of geometry
Geometry has been called the science of in-direct measurement, and as such is founded on certain definitions, postulates, and some assumptions or axioms which are said to be self-evident. It is a physical science idealized. The oldest and best known form of this science is the Euclidean Geometry …
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Learning from Geometry
… This dissertation studies how the pairwise geometry between these subspaces affects classification performance. When model mismatch is vanishingly small, the probability of misclassification is determined by the product of the sines of the principal angles between subspaces. When the model …
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Geometry of compositionality
… representation of words in vector space, and its geometry reveals the lexical semantics. This thesis further explores the interesting geometric properties of word embedding, and looks into its interaction with the context representation. We propose an innovative method to detect whether a given …
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Derived algebraic geometry
… foundations for a theory of derived algebraic geometry based upon simplicial commutative rings. We define derived versions of schemes, algebraic spaces, and algebraic stacks. Our main result is a derived analogue of Artin's representability theorem, which provides a precise criteria for the …
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Topics in metric geometry, combinatorial geometry, extremal combinatorics and additive combinatorics
In this thesis, we consider several combinatorial topics, belonging to the areas appearing in the thesis title. Given a non-empty complete metric space $(X,d)$, a family of $n$ continuous maps $f_1,f_2,\dots,f_n\colon X\to X$ is a \emph{contractive family} if there exists $\lambda<1$ such that for …
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Towards Learning the Geometry of Data: From Diffusion Models to Riemannian Geometry
… self-supervised learning, and Riemannian geometry, paving the way for learning the intrinsic geometry of data manifolds. In chapter 3, we introduce CAFLOW, a conditional normalising flow that improves image-to-image translation by hierarchically modelling image distributions across scales. …
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Experimental and observational geometry
<p>Geometry has the distinction of being one of the oldest subjects given in the high-school.</p> <p>Its subject-matter was formulated and organized by the Greeks into a fine system of thought before the time of Christ. Since leaving the hands of the Greeks, geometry has received only a few minor …
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Quantum Algebraic Geometry Codes
… codes derived from classical algebraic geometry (AG) codes. We present two distinct construction techniques, highlighting the flexibility and self-orthogonality of AG codes, and demonstrate their ability to produce asymptotically good quantum codes. Additionally, we explore strategies to …
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Geometry in the grades
Made available in DSpace on 2016-11-09T23:47:29Z (GMT). No. of bitstreams: 2 5958374_opt.pdf: 3721501 bytes, checksum: ae009be58624dc1dd1a29123166c9e7e (MD5) license.txt: 4183 bytes, checksum: 1dcc2037833d76bede73d5717587543b (MD5) Previous issue date: 1897
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Geometry of Affine Actions
We introduce a new factorization for elements of the loop group LSL2 = SL2( C ((lambda-1))). We then define a new decomposition for the flag manifold FL2 = LSL2/ B+ (= SL2&d14;/B&d14; + ), into isomorphic overlapping cells. This allows us to examine globally the left vector field action of the …
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Topics in Computational Geometry
Computational geometry is the branch of complexity theory that deals with geometrical problems, and has received much attention in recent years. Presented here are analyses of algorithms and complexity results for certain geometrical problems.
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Algebraic Structure in Geometry
Made available in DSpace on 2014-12-10T18:44:48Z (GMT). No. of bitstreams: 1 7121125.pdf: 9712221 bytes, checksum: a9ad398084728ae15354499b3bb2fe99 (MD5) Previous issue date: 1971
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Stacks in Poisson geometry
This thesis is divided into four chapters. The first chapter discusses the relationship between stacks on a site and groupoids internal to the site. It includes a rigorous proof of the folklore result that there is an equivalence between the bicategory of internal groupoids and the bicategory of …
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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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Geometry of river networks
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2000.
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Geometry-Sensitive Swarm Algorithms
… leads to simplifications, especially in the geometry of the problem, that are not representative of what swarms may see in the real word [4, 13, 44]. In this thesis, we present a new discrete modelling framework for swarm algorithms that allows agents to synchronously transition on a discrete …
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Geometry of Fractal Squares
This paper will examine analogues of Cantor sets, called fractal squares, and some of the geometric ways in which fractal squares raise issues not raised by Cantor sets. Also discussed will be a technique using directed graphs to prove bilipschitz equivalence of two fractal squares.
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