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 3353 for “"Curves"”.
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Elliptic Curves
… focus of this paper is the study of elliptic curves, non-singular projective curves of genus 1. Under a geometric operation, the rational points <em>E</em>(<strong><em>Q</em></strong>) of an elliptic curve <em>E</em> form a group, which is a finitely-generated abelian group by Mordell’s …
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Constructing suitable ordinary pairing-friendly curves: A case of elliptic curves and genus two hyperelliptic curves
… is to construct suitable pairing-friendly curves: Curves which would provide e�cient implementation without compromising the security of the protocols. These curves have small embedding degree and large prime order subgroup. Random curves are likely to have large embedding degree and hence …
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Transformations of curves and nets of curves in the plane
Thesis (M.A.)--Michigan State College of Agriculture and Applied Science, 1934
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Curves on surfaces
… with geometric and combinatoric problems of curves on surfaces. In Chapter 3, we show that certain families of iso-length spectral hyperbolic surfaces obtained via the Sunada construction are not generally simple iso-length spectral. In Chapter 4, We prove a strong form of finite rigidity for …
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Photographing alternating current curves
Made available in DSpace on 2016-11-09T23:47:14Z (GMT). No. of bitstreams: 2 5957971.pdf: 4966598 bytes, checksum: 1173b8603e15d0482f87d3766d2f51cf (MD5) license.txt: 4183 bytes, checksum: 1dcc2037833d76bede73d5717587543b (MD5) Previous issue date: 1896
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Curves, Knots, and Total Curvature
… results dealing with the total curvature of curves in Euclidean 3-space. There are two primary results: Fenchel's theorem and the theorem of Fary and Milnor. Fenchel's theorem states that the total curvature of a simple closed curve is greater than or equal to $2\pi$, with equality if and …
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Rectagles inscribed in Jordan curves.
Představíme kvocienty, což jsou speciální typy topologických zobrazení, která přirozeně zachovávají spojitost ostatních funkcí. Nejprve budeme studovat uni- verzální vlastnosti těchto kvocientů a později je použijeme k formálnímu zavedení topologického lepení. Tento koncept nám umožní definovat a …
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Principal Curves in High Dimensions
Principal curves are curves passing through the "center" of a dataset and generalize the notion of principal components to non-linear curves, thus providing more meaningful insights to the structure of the data. SCMS is an elegant and robust method for recovering the principal curves of a dataset. …
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Elliptic Curves Over Finite Fields
… a self-contained introduction to elliptic curves accessible to advanced undergraduates and graduate students in mathematics, with emphasis on the the theory of elliptic curves over finite fields. In Chapter 1, affine and projective planes are introduced. Chapter 2 introduces the theory of …
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Variational Methods on Elastic Curves
<p>In this thesis we investigate elastic curves. These are curves with minimal bending energy as measured by the total squared curvature functional. We show that these can be computed by evolving curves in the direction of the negative gradient in certain Hilbert space settings. By discretizing the …
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Algebraic Curves Over Supersimple Fields
In this work we are concerned with algebraic curves over supersimple fields. First it is proved that an elliptic curve defined over a supersimple field K whose j-invariant is s-generic over empty has a rational point over K which is s-generic over the set of parameters used to define the curve. …
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Combinatorial optimization on embedded curves
… for classifying, comparing and optimizing curves on surfaces. We give algorithms to compute the minimum member of a given homology class, particularly computing the maximum flow and minimum cuts, in surface embedded graphs. We describe approximation algorithms to compute certain similarity …
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Lactation curves in dairy goats
"Lactation curves were modeled using a multiphasic function and effects of breed, parity, season of kidding, and level of milk production on the curve were studied. Milk production data on dairy goats were grouped into 90 subclasses: breed (5) by parity (3) by season (2) by level of production (3). …
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Models of genus one curves
… into the minimisation problem of genus one curves defined by equations other than Weierstrass equations. We are interested in genus one curves given as double covers of P1, plane cubics, or complete intersections of two quadrics in P3. By minimising such a curve we mean making the invariants …
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Symplectic isotopy for cuspidal curves
… of deformation of pseudoholomorphic curves with cusps and tacnodes. We show that if the first Chern class of a 4-dimensional symplectic manifold is sufficiently positive then the deformation is unobstructed. We prove this result when the curves have cusps and nodes, not in a …
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Interpolating Spline Curves of Measures
… a theoretical and computational exploration of curves of measures which in some sense minimize curvature while interpolating data, as splines do in Euclidean space. We answer several questions about the relationship between the intrinsic Wasserstein-Riemannian curvature of such curves and a …
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