Search results
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Title
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A CONVERTIBLE-BOND-PRICING METHOD BASED ON BOND PRICES ON MARKETS
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Author
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Shi, Qiang
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Date Created
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2011
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Subjects--Topical
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Mathematics
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Description
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ABSTRACTQIANG SHI. A convertible-bond-pricing method based on bond prices on markets.(Under the direction of DR. YOU-LAN ZHU)This thesis is devoted to evaluating two-factor convertible bonds. Different zero-coupon bond curves are inputted when eva...
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Title
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A MESHLESS METHOD WITH ENRICHED BASIS FUNCTIONS FOR SINGULARITY PROBLEMS
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Author
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Hong, Won-Tak
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Date Created
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2009
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Subjects--Topical
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Mechanical engineering, Mechanics, Mathematics
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Description
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For the last several decades, the Finite Element Method (FEM) has been a powerful tool in solving challenging science and engineering problems, especially when solution domains have complex geometry. However the mesh refinements and construction o...
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Title
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A Random Hierarchical Laplacian
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Author
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Ray, Elijah
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Date Created
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2013
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Subjects--Topical
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Mathematics
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Description
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The Hierarchical Laplacian, proposed in Dyson's theory of one-dimensional ferromagnetic phase transitions, has a discrete spectrum with each isolated eigenvalue having infinite multiplicity. As a result, the integrated density of states is piecewi...
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Title
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A study of operational variable influencing wheel balancing measurements
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Author
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Nabar, Aneesh
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Date Created
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2016
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Subjects--Topical
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Mechanical engineering, Automobiles--Design and construction, Mathematics
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Description
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The aim of this research is to analyze various operational parameters that may affect the wheel balancing measurement. Therefore, wheel balancing measurements were taken iteratively on different low profile wheel/tire assemblies for different cond...
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Title
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APPROXIMATING SOLUTIONS OF BOUNDARY VALUE PROBLEMS
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Author
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Semiyari, Hamid
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Date Created
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2015
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Subjects--Topical
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Mathematics
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Description
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We present a new algorithm for approximating solutions of two-point boundary value problems and prove theorems that give conditions under which the solution must exist and the algorithm generate approximations that converge to it. We show how to m...
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Title
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American Options Pricing using HJM Approach
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Author
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Fernando, Wedige
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Date Created
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2017
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Subjects--Topical
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Mathematics
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Description
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With the development of financial markets and increasing demand for managing risk exposure, researchers and practitioners have developed various financial instruments over the years. Options, Futures, Forwards, Swaps are few examples of such instr...
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Title
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An Integrated Phylogeographic Analysis of the Bantu Migration
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Author
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Ford, Colby
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Date Created
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2018
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Subjects--Topical
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Computer science, Mathematics, Genetics
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Description
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"Bantu" is a term used to describe lineages of people in around 600 different ethnic groups on the African continent ranging from modern-day Cameroon to South Africa. The migration of the Bantu people, which occurred around 3,000 years ago, was in...
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Title
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Analysis of failure time data with missing and informative auxiliary covariates.
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Author
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Ghosh, Lipika
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Date Created
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2011
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Subjects--Topical
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Statistics, Mathematics, Biometry
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Description
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In this dissertation we use Cox's regression model to failure time data with continuous informative auxiliary variables in the presence of a validation subsample. The work is motivated by a common problem of missing or mismeasured covariates in su...
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Title
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Analytics for Fault Detection and Energy Management in Large Retail Portfolios
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Author
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Raju, Suhas
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Date Created
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2020
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Subjects--Topical
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Power resources, Mathematics, Artificial intelligence
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Description
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Energy managers responsible for large real-estate portfolios typically review Energy Star scores and Energy Use Intensity (EUI) to determine which facilities to target for retrofit or audit. In the case of a large portfolio of small retail facilit...
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Title
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Asymptotic Normality of Entropy Estimators
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Author
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Zhang, Xing
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Date Created
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2013
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Subjects--Topical
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Mathematics
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Description
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Shannon's entropy plays a central role in many fields of mathematics. In the first chapter, we present a sufficient condition for the asymptotic normality of the plug-in estimator of Shannon's entropy defined on a countable alphabet. The sufficien...
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Title
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Binary Edwards Curves in Elliptic Curve Cryptography
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Author
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Enos, Graham
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Date Created
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2013
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Subjects--Topical
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Mathematics
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Description
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Edwards curves are a new normal form for elliptic curves that exhibit some cryptographically desirable properties and advantages over the typical Weierstrass form. Because the group law on an Edwards curve (normal, twisted, or binary) is c...
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Title
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Braid Indices in a Class of Closed Braids
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Author
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Hinson, Kenneth
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Date Created
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2010
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Subjects--Topical
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Mathematics
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Description
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A long-standing problem in knot theory concerns the additivity of crossing numbers of links under the connected sum operation. It is conjectured that if L1 and L2 are links, then Cr(L...
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Title
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Branching Processes in Random Trees
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Author
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Jutmaan, Yanjmaa
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Date Created
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2012
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Subjects--Topical
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Mathematics
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Description
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We study the behavior of branching process in a random environment on trees in the critical, subcritical and supercritical case. We are interested in the case when both the branching and the step transition parameters are random quantities. We pre...
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Title
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Chaos in Non-Euclidean Geometries Arising in Mechanics
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Author
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BHATTACHARYA, TAPOBRATA
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Date Created
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2015
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Subjects--Topical
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Mechanical engineering, Mechanics, Mathematics
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Description
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Chaotic systems are a class of nonlinear dynamical systems that have captured the attention of mathematicians and engineers for long. Even though chaotic systems are deterministic in nature, long term prediction of behavior of such systems is diff...