Highway Hull Revisited, 2010 Universite Libre de Bruxelles

#### Highway Hull Revisited, Greg Aloupis, Jean Cardinal, Sébastien Collette, Ferran Hurtado, Stefan Langerman, Joseph O'Rourke, Belén Palop

*Computer Science: Faculty Publications*

A highway *H* is a line in the plane on which one can travel at a greater speed than in the remaining plane. One can choose to enter and exit *H* at any point. The *highway time distance* between a pair of points is the minimum time required to move from one point to the other, with optional use of *H*. The *highway hull* H(S,H) of a point set *S* is the minimal set containing *S* as well as the shortest paths between all pairs of points in H(S,H), using the highway time distance. We provide a Θ(nlogn) worst-case …

Modeling And Quasi-Monte Carlo Simulation Of Risk In Credit Portfolios, 2010 New Jersey Institute of Technology

#### Modeling And Quasi-Monte Carlo Simulation Of Risk In Credit Portfolios, Bo Ren

*Dissertations*

Credit risk is the risk of losing contractually obligated cash flows promised by a counterparty such as a corporation, financial institution, or government due to default on its debt obligations. The need for accurate pricing and hedging of complex credit derivatives and for active management of large credit portfolios calls for an accurate assessment of the risk inherent in the underlying credit portfolios. An important challenge for modeling a credit portfolio is to capture the correlations within the credit portfolio. For very large and homogeneous portfolios, analytic and semi-analytic approaches can be used to derive limiting distributions. However, for portfolios …

Perturbed Spherical Objects In Acoustic And Fluid Flow Fields, 2010 New Jersey Institute of Technology

#### Perturbed Spherical Objects In Acoustic And Fluid Flow Fields, Manmeet Kaur

*Dissertations*

In this study, the time averaged acoustic radiation force and drag on a small, nearly spherical object suspended freely in a stationary sound wave field in a compressible, low viscosity fluid is to be calculated. This problem has been solved for a spherical object, and it has many important engineering applications related to segregation and separation processes for particles in fluids such as water. Small but significant errors have occurred in the predicted behavior of the particles using the existing approximate solutions based on perfect spheres. The classical approach has been extended in this research to objects that deviate slightly …

Nonlinear Evolution Of Annular Layers And Liquid Threads In Electric Fields, 2010 New Jersey Institute of Technology

#### Nonlinear Evolution Of Annular Layers And Liquid Threads In Electric Fields, Qiming Wang

*Dissertations*

The nonlinear dynamics of viscous perfectly conducting liquid jets or threads under the action of a radial electric field are studied theoretically and numerically here. The field is generated by a potential difference between the jet surface and a concentrically placed electrode of given radius. A long-wave nonlinear model that is used to predict the dynamics of the system and in particular to address the effect of the radial electric field on jet breakup is developed, Two canonical regimes are identified that depend on the size of the gap between the outer electrode and the unperturbed jet surface. For relatively …

The Bernstein Problem For Embedded Surfaces In The Heisenberg Group H, 2010 Purdue University

#### The Bernstein Problem For Embedded Surfaces In The Heisenberg Group H, Donatella Danielli, Nicola Garofalo, Duy-Minh Nhieu, Scott D. Pauls

*Dartmouth Scholarship*

In the paper [13] we proved that the only stable C 2 minimal surfaces in the first Heisenberg group H 1 which are graphs over some plane and have empty characteristic locus must be vertical planes. This result represents a sub-Riemannian version of the celebrated theorem of Bernstein. In this paper we extend the result in [13] to C 2 complete em-bedded minimal surfaces in H 1 with empty characteristic locus. We prove that every such a surface without boundary must be a vertical plane. This result represents a sub-Riemannian coun-terpart of the classical theorems of Fischer-Colbrie and Schoen, [16], …

On The Convergence Of An Implicit Iterative Process For Generalized Asymptotically Quasi-Nonexpansive Mappings, 2010 Florida Institute of Technology

#### On The Convergence Of An Implicit Iterative Process For Generalized Asymptotically Quasi-Nonexpansive Mappings, Ravi P. Agarwal, Xiaolong Qin, Shinmin Kang

*Mathematics and System Engineering Faculty Publications*

The purpose of this paper is to introduce and consider a general implicit iterative process which includes Schu's explicit iterative processes and Sun's implicit iterative processes as special cases for a finite family of generalized asymptotically quasi-nonexpansive mappings. Strong convergence of the purposed iterative process is obtained in the framework of real Banach spaces.

Quantification Of Artistic Style Through Sparse Coding Analysis In The Drawings Of Pieter Bruegel The Elder, 2010 Dartmouth College

#### Quantification Of Artistic Style Through Sparse Coding Analysis In The Drawings Of Pieter Bruegel The Elder, James M. Hughes, Daniel J. Graham, Daniel N. Rockmore

*Dartmouth Scholarship*

Recently, statistical techniques have been used to assist art historians in the analysis of works of art. We present a novel technique for the quantification of artistic style that utilizes a sparse coding model. Originally developed in vision research, sparse coding models can be trained to represent any image space by maximizing the kurtosis of a representation of an arbitrarily selected image from that space. We apply such an analysis to successfully distinguish a set of authentic drawings by Pieter Bruegel the Elder from another set of well-known Bruegel imitations. We show that our approach, which involves a direct comparison …

Domains Of Water Molecules Provide Mechanisms Of Potentization In Homeopathy, 2010 Western Washington University

#### Domains Of Water Molecules Provide Mechanisms Of Potentization In Homeopathy, George Czerlinski, Tjalling Ypma

*Mathematics Faculty Publications*

In homeopathy, high potentization means such high dilution that there is no longer even one molecule of the original active agent per gram of the mixture. Nevertheless such high dilutions apparently remain effective. We develop a possible mechanism for homeopathic potentization to explain this phenomenon. This mechanism consists of three consecutive processes: initiation, multiplication, and amplification. Initiation is the mechano-chemical generation, by strong shaking following each dilution step, of radicals which remain in existence by mutual stabilization in simultaneously formed electronic domains. Multiplication transfers electronic excitation level structures from the original homeopathic agent to these radical-containing domains, stabilizing them further. …

Pattern-Avoiding Colored Partitions, 2010 Valparaiso University

#### Pattern-Avoiding Colored Partitions, Lara Pudwell

*Lara K. Pudwell*

No abstract provided.

Harmonic Mapping Problem And Affine Capacity, 2010 Syracuse University and University of Helsinki

#### Harmonic Mapping Problem And Affine Capacity, Tadeusz Iwaniec, Leonid V. Kovalev, Jani Onninen

*Mathematics - All Scholarship*

The Harmonic Mapping Problem asks when there exists a harmonic homeomorphism between two given domains. It arises in the theory of minimal surfaces and in calculus of variations, specifically in hyperelasticity theory. We investigate this problem for doubly connected domains in the plane, where it already presents considerable challenge and leads to several interesting open questions.

The Evolution And Discovery Of The Species Of Equality In Euclid’S Elements, 2010 The University of Tennessee College of Law

#### The Evolution And Discovery Of The Species Of Equality In Euclid’S Elements, Lee T. Nutini

*Lee T Nutini*

A look at the evidence for an additional and novel type of equality found in Euclid's Elements.

Sketch Of A Typology Of Abstract Memristic Machines, 2010 ThinkArt Lab Glasgow

#### Sketch Of A Typology Of Abstract Memristic Machines, Rudolf Kaehr

*Rudolf Kaehr*

A typology of memristic machines is sketched. This sketch gives an overview and orientation to the paper “Towards Abstract Memristic Machines”. It also intents to propose a concise systematization of the newly introduced terms and strategies to memristics and morphogrammatics. This sketch is introducing four types of sign-use for four types of machines of fundamentally different paradigms: 1. semiotic, 2. monomorphic, 3. polymorphic and 4. bisimilar abstract machines. Further definitions of abstract machines have to be based on those graphematic notational systems. A realization of such constructions of abstract machines, in contrast to existing abstract machines of the theory of …

Towards Abstract Memristic Machines, 2010 ThinkArt Lab Glasgow

From Universe To Polyverses, 2010 ThinkArt Lab Glasgow

#### From Universe To Polyverses, Rudolf Kaehr

*Rudolf Kaehr*

Some thoughts about the power of speculation behind important discoveries in mathematics, physics and computer science. The exercise shows that there is no need for a compulsory ultimate unifying universe. It is speculated that just this paradigm of a single ultimate universe is unmasking itself today as the main obstacle for further development in Western science and technology.

Morphogrammatics For Dummies: The Domino Approach, 2010 ThinkArt Lab Glasgow

#### Morphogrammatics For Dummies: The Domino Approach, Rudolf Kaehr

*Rudolf Kaehr*

Dominoes, morphograms, cellular automata, memristics. Topics: possible continuation, coalitions, cooperations, substitution, morphic bisimilarity.

Local Fractional Fourier’S Transform Based On The Local Fractional Calculus, 2010 Zongxin Kang, Changhe Liu

#### Local Fractional Fourier’S Transform Based On The Local Fractional Calculus, Yang Xiao-Jun

*Xiao-Jun Yang*

A new modeling for the local fractional Fourier’s transform containing the local fractional calculus is investigated in fractional space. The properties of the local fractional Fourier’s transform are obtained and two examples for the local fractional systems are investigated in detail.

Exact Three-Wave Solutions For High Nonlinear Form Of Benjamin-Bona-Mahony-Burgers Equations, 2010 University of Kermanshah, Razi

#### Exact Three-Wave Solutions For High Nonlinear Form Of Benjamin-Bona-Mahony-Burgers Equations, Mohammad Taghi Darvishi, Mohammad Najafi M.Najafi, Maliheh Najafi

*mohammad najafi*

By means of the idea of three-wave method, we obtain some analytic solutions for high nonlinear form of Benjamin-Bona-Mahony-Burgers (shortly BBMB) equations in its bilinear form.

On Stern's Diatomic Sequence 0,1,1,2,1,3,2,3,1,3,4,..., 2010 SUNY-Plattsburgh

#### On Stern's Diatomic Sequence 0,1,1,2,1,3,2,3,1,3,4,..., Sam Northshield

*Sam Northshield*

Stern’s diatomic sequence is a simply defined sequence with an amazing set of properties. Our goal is to present many of these properties—those that have most impressed the author.

Grafika Inżynierska Ćw., 2010 Wroclaw University of Technology

#### Grafika Inżynierska Ćw., Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Projektowanie Procesów Biotechnologicznych Proj., 2010 Wroclaw University of Technology

#### Projektowanie Procesów Biotechnologicznych Proj., Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.