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Het geslacht van vlakke algebraische krommenGribnau, Hubertus Antonius. January 1937 (has links)
Thesis--Universiteit te Utricht, 1937. / "Literatur": p. 93-95.
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Supporting students' understanding of algebra : symbolizing in a technology-enhanced classroom /Nickerson, Susan Denise. January 2001 (has links)
Thesis (Ph. D.)--University of California, San Diego and San Diego State University, 2001. / Vita. Includes bibliographical references (leaves 290-298).
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A simple algorithm for principalization of monomial ideals /Goward, Russell A. January 2001 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 2001. / Typescript. Vita. Includes bibliographical references (leaf 37). Also available on the Internet.
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The birational geometry of M₃ and M₂, ₁ /Rulla, William Frederick, January 2001 (has links)
Thesis (Ph. D.)--University of Texas at Austin, 2001. / Vita. Includes bibliographical references (leaves 183-187). Available also in a digital version from Dissertation Abstracts.
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Linear geometry of subspaces in a Euclidean space.Yuen, Tai-kwok. January 1973 (has links)
Thesis (M. Phil.)--University of Hong Kong, 1973. / Mimeographed.
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Tropical Hurwitz spacesKatz, Brian Paul 01 February 2012 (has links)
Hurwitz numbers are a weighted count of degree d ramified covers of curves with specified ramification profiles at marked points on the codomain curve. Isomorphism classes of these covers can be included as a dense open set in a moduli space, called a Hurwitz space. The Hurwitz space has a forgetful morphism to the moduli space of marked, stable curves, and this morphism encodes the Hurwitz numbers.
Mikhalkin has constructed a moduli space of tropical marked, stable curves, and this space is a tropical variety. In this paper, I construct a tropical analogue of the Hurwitz space in the sense that it is a connected, polyhedral complex with a morphism to the tropical moduli space of curves such that the degree of the morphism encodes the Hurwitz numbers. / text
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Absence of jump of complex structures on Fano hypersurfaces under certain conditionsLam, Yan-ting., 林殷霆. January 2011 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy
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Exact meromorphic solutions of complex algebraic differential equationsWong, Kwok-kin., 黃國堅. January 2012 (has links)
For any given complex algebraic ordinary differential equation (ODE), one major task of both pure and applied mathematicians is to find explicit meromorphic solutions due to their extensive applications in science.
In 2010, Conte and Ng in [12] proposed a new technique for solving complex algebraic ODEs. The method consists of an idea due to Eremenko in [20] and the subequation method of Conte and Musette, which was first proposed in [9].
Eremenko’s idea is to make use of the Nevanlinna theory to analyze the value distribution and growth rate of the solutions, from which one would be able to show that in some cases, all the meromorphic solutions of the studied differential equation are in a class of functions called “class W”, which consists of elliptic functions and their degenerates. The establishment of solutions is then achieved by the subequation method. The main idea is to build subequations which have solutions that also satisfy the original differential equation, hoping that the subequations will be easier to solve.
As in [12], the technique has been proven to be very successful in obtaining explicit particular meromorphic solutions as well as giving complete classification of meromorphic solutions. In this thesis, the necessary theoretical background, including the Nevanlinna theory and the subequation method, will be developed. The technique will then be applied to obtain all meromorphic stationary wave solutions of the real cubic Swift-Hohenberg equation (RCSH). This last part is joint work with Conte and Ng and will appear in Studies in Applied Mathematics [13].
RCSH is important in several studies in physics and engineering problems. For instance, RCSH is used as modeling equation for Rayleigh- B?nard convection in hydrodynamics [43] as well as in pattern formation [16]. Among the explicit stationary wave solutions obtained by the technique used in this thesis, one of them appears to be new and could be written down as a rational function composite with Weierstrass elliptic function. / published_or_final_version / Mathematics / Master / Master of Philosophy
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Multiplicative distance functionsSinclair, Christopher Dean 28 August 2008 (has links)
Not available / text
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Auxiliary polynomials and height functionsSamuels, Charles Lloyd, 1980- 28 August 2008 (has links)
We establish two new results in this dissertation. Recent theorems of Dubickas and Mossinghoff use auxiliary polynomials to give lower bounds on the Weil height of an algebraic number [alpha] under certain assumptions on [alpha]. We prove a theorem which introduces an auxiliary polynomial for giving lower bounds on the height of any algebraic number. In particular, we prove the following theorem. [Mathematical equations] / text
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