Physical Sciences and Mathematics Commons^™

The Hamiltonian Index Of Graphs, Zhi-Hong Chen, Yi Hong, Jian-Liang Lin, Zhi-Sui Tao

Zhi-Hong Chen

The Hamiltonian index of a graph GG is defined as h(G)=min{m:Lm(G) is Hamiltonian}.h(G)=min{m:Lm(G) is Hamiltonian}. In this paper, using the reduction method of Catlin [P.A. Catlin, A reduction method to find spanning Eulerian subgraphs, J. Graph Theory 12 (1988) 29–44], we constructed a graph sourceH̃^(m)(G) from GG and prove that if h(G)≥2h(G)≥2, then h(G) = min{m : H̃^(m)(G) has a spanning Eulerian subgraph}.

Spanning Eulerian Subgraphs In Claw-Free Graphs, Zhi-Hong Chen, Hong-Jian Lai, Weiqi Luo, Yehomg Shao

Zhi-Hong Chen

A graph is claw-free if it has no induced K 1,3, subgraph. A graph is essential 4-edge-connected if removing at most three edges, the resulting graph has at most one component having edges. In this note, we show that every essential 4-edge-connected claw free graph has a spanning Eulerian subgraph with maximum degree at most 4.

Spanning Trails Containing Given Edges, Weiqi Luo, Zhi-Hong Chen, Wei-Guo Chen

Zhi-Hong Chen

A graph G is Eulerian-connected if for any u and v in V ( G ) , G has a spanning ( u , v ) -trail. A graph G is edge-Eulerian-connected if for any e ′ and e ″ in E ( G ) , G has a spanning ( e ′ , e ″ ) -trail. For an integer r ⩾ 0 , a graph is called r -Eulerian-connected if for any X ⊆ E ( G ) with | X | ⩽ r , and for any u , v ∈ V ( G ) , G …

Collapsible Graphs And Reductions Of Line Graphs, Zhi-Hong Chen, Peter C.B. Lam, Wai-Chee Shiu

Zhi-Hong Chen

A graph G is collapsible if for every even subset X ⊆ V ( G ) , G has a subgraph such that G − E ( Γ ) is connected and the set of odd-degree vertices of Γ is X . A graph obtained by contracting all the non-trivial collapsible subgraphs of G is called the reduction of G . In this paper, we characterize graphs of diameter two in terms of collapsible subgraphs and investigate the relationship between the line graph of the reduction and the reduction of the line graph. Our results extend former results in [H.-J. …

Semi-Classical Approaches To Below Threshold Harmonics, James A. Hostetter

Honors Theses

No abstract provided.

Estimating Causal Effects In Trials Involving Multi-Treatment Arms Subject To Non-Compliance: A Bayesian Frame-Work, Qi Long, Roderick J. Little, Xihong Lin

Harvard University Biostatistics Working Paper Series

No abstract provided.

Use Of A Robust Dehydrogenase From An Archael Hyperthermophile In Asymmetric Catalysis–Dynamic Reductive Kinetic Resolution Entry Into (S)-Profens, Jacob A. Friest, Yukari Maezato, Sylvain Broussy, Paul H. Blum, David B. Berkowitz

David Berkowitz Publications

Hyperthermophilic archaea are of great interest in evolutionary microbiology, owing to their ability to withstand high temperatures, and often extremes of pressure, pH and salinity. Enzymes from these organisms¹ may offer particular opportunities for asymmetric synthesis, complementary to approaches with mesophilic enzymes,² or those involving enzyme³ and pathway⁴ reengineering. However, perhaps due to a bias that hyperthermophilic enzymes have “narrow substrate specificities,”⁵ archaeal extremophiles remain a largely untapped resource in asymmetric synthesis.⁶

Herein, we disclose a remarkably general Dynamic Reductive Kinetic Resolution (DYRKR) entry into (S)-profens, including several important NSAIDs. The enzyme employed is …

Change Management In A Dynamic Information Technology Environment: Inquiries Into The Adkar Model For Change Management Results, Michael S. Lowery

Regis University Student Publications (comprehensive collection)

Change in our lives is an ongoing, complex, and difficult process that cannot be avoided, and in order for any organization comprised of people to be successful, change must be managed. There are many documented instances of organizations failing in their change efforts, and it is not always the technology that causes change failures, but it is the people aspect towards change that is neglected. This paper focuses on the ADKAR model which is a sequential and cumulative goal-oriented change management model with targeted results and consists of the elements Awareness, Desire, Knowledge, Ability, and Reinforcement, and how the model …

Single-Step Factor Screening And Response Surface Optimization Using Optimal Designs With Minimal Aliasing, David Hien Truong

Theses and Dissertations

Cheng and Wu (2001) introduced a method for response surface exploration using only one design by using a 3-level design to first screen a large number of factors and then project onto the significant factors to perform response surface exploration. Previous work generally involved selecting designs based on projection properties first and aliasing structure second. However, having good projection properties is of little concern if the correct factors cannot be identified. We apply Jones and Nachtsheim’s (2009) method for finding optimal designs with minimal aliasing to find 18, 27, and 30-run designs to use for single-step screening and optimization. Our …

All-Sky Search For Gravitational-Wave Bursts In The First Joint Ligo-Geo-Virgo Run, J. Abadie, B. P. Abbott, R. Abbott, T. Accadia, F. Acernese, R. Adhikari, P. Ajith, B. Allen, G. Allen, E. Amador Ceron, R. S. Amin, S. B. Anderson, W. G. Anderson, F. Antonucci, M. A. Arain, M. Araya, K. G. Arun, Y. Aso, S. Aston, P. Astone, P. Aufmuth, C. Aulbert, S. Babak, P. Baker, G. Ballardin, S. Ballmer, D. Barker, F. Barone, B. Barr, P. Barriga, L. Barsotti, Tiffany Z. Summerscales

Faculty Publications

We present results from an all-sky search for unmodeled gravitational-wave bursts in the data collected by the LIGO, GEO 600 and Virgo detectors between November 2006 and October 2007. The search is performed by three different analysis algorithms over the frequency band 50-6000 Hz. Data are analyzed for times with at least two of the four LIGO-Virgo detectors in coincident operation, with a total live time of 266 days. No events produced by the search algorithms survive the selection cuts. We set a frequentist upper limit on the rate of gravitational-wave bursts impinging on our network of detectors. When combined …

Land From The Sea: The Mangrove Afforestation Program Of Bangladesh, Peter Saenger, N A. Siddiqi

Emeritus Professor Peter Saenger

The coastal areas of Bangladesh have a high cyclone frequency. The protection from cyclone damage afforded by the natural mangrove forests of the Sundarbans, led the Forest Department in 1966 to initiate a mangrove afforestation programme. These initial plantings proved highly successful in protecting and stabilizing coastal areas, and led to a large-scale mangrove afforestation initiative. To date, approximately 120 000 ha of mangroves have been planted. Nursery and planting techniques have been developed for the major species, while additional species are still being investigated. As a result of the extensive monospecific plantations, however, outbreaks of two major insect pest …

Natural History Of The Hogan Group: Some Marine Algae From Hogan Island, Bass Strait, With An Account Of The Marine Zonation, Peter Saenger

Emeritus Professor Peter Saenger

The marine zonation of l'logan Island was studied as part of the McCoy Society expedition early in 1968. The composition of the supra-littoral zone is similar to that in Tasmania and Wilson's Promontory while the composition of the littoral zone and the sublittoral fringe has greater resemblance to South Australian coasts. A list of the algae collected is appended.

The Shallow Water Equations In Lagrangian Coordinates, J. L. Mead

Jodi Mead

Recent advances in the collection of Lagrangian data from the ocean and results about the well-posedness of the primitive equations have led to a renewed interest in solving flow equations in Lagrangian coordinates. We do not take the view that solving in Lagrangian coordinates equates to solving on a moving grid that can become twisted or distorted. Rather, the grid in Lagrangian coordinates represents the initial position of particles, and it does not change with time. However, using Lagrangian coordinates results in solving a highly nonlinear partial differential equation. The nonlinearity is mainly due to the Jacobian of the coordinate …

Towards Regional Assimilation Of Lagrangian Data: The Lagrangian Form Of The Shallow Water Reduced Gravity Model And Its Inverse, J. L. Mead, A. F. Bennett

Jodi Mead

Variational data assimilation for Lagrangian geophysical fluid dynamics is introduced. Lagrangian coordinates add numerical difficulties into an already difficult subject, but also offer certain distinct advantages over Eulerian coordinates. First, float position and depth are defined by linear measurement functionals. Second, Lagrangian or ‘comoving’ open domains are conveniently expressed in Lagrangian coordinates. The attraction of such open domains is that they lead to well-posed prediction problems [Bennett and Chua (1999)] and hence efficient inversion algorithms. Eulerian and Lagrangian solutions of the inviscid forward problem in a doubly periodic domain, with North Atlantic mesoscales, are compared and found to be in …

An Iterated Pseudospectral Method For Functional Partial Differential Equations, J. Mead, B. Zubik-Kowal

Jodi Mead

Chebyshev pseudospectral spatial discretization preconditioned by the Kosloff and Tal-Ezer transformation [10] is applied to hyperbolic and parabolic functional equations. A Jacobi waveform relaxation method is then applied to the resulting semi-discrete functional systems, and the result is a simple system of ordinary differential equations d/dtUk+1(t) = MαUk+1(t)+f(t,U kt). Here Mα is a diagonal matrix, k is the index of waveform relaxation iterations, U kt is a functional argument computed from the previous iterate and the function f, like the matrix Mα, depends on the process of semi-discretization. This waveform relaxation splitting has the advantage of straight forward, direct application …

Assimilation Of Simulated Float Data In Lagrangian Coordinates, J. L. Mead

Jodi Mead

We implement an approach for the accurate assimilation of Lagrangian data into regional general ocean circulation models. The forward model is expressed in Lagrangian coordinates and simulated float data are incorporated into the model via four dimensional variational data assimilation. We show that forward solutions computed in Lagrangian coordinates are reliable for time periods of up to 100 days with phase speeds of 1 m/s and deformation radius of 35 km. The position and depth of simulated floats are assimilated into the viscous, Lagrangian shallow water equations. The weights for the errors in the model and data are varied and …

Computing Hydrogen Energetic Neutral Atom (Ena) Losses For Nasa's Ibex Using 3d Models, Eric Zirnstein

Honors Capstone Projects and Theses

No abstract provided.

Sensitivity Analysis Of B-Factor In Microwave Emission Model For Soil Moisture Retrieval: A Case Study For Smap Mission, Dugwon Seo, Tarendra Lakhankar, Reza Khanbilvardi

Publications and Research

Sensitivity analysis is critically needed to better understand the microwave emission model for soil moisture retrieval using passive microwave remote sensing data. The vegetation b-factor along with vegetation water content and surface characteristics has significant impact in model prediction. This study evaluates the sensitivity of the b-factor, which is function of vegetation type. The analysis is carried out using Passive and Active L and S-band airborne sensor (PALS) and measured field soil moisture from Southern Great Plains experiment (SGP99). The results show that the relative sensitivity of the b-factor is 86% in wet soil condition and 88% in high vegetated …

Multivariate Steepest Ascent Using Bayesian Reliability, Jeffrey Fuerte

Theses and Dissertations

The path of steepest ascent can used to optimize a response in an experiment, but problems can occur with multiple responses. Past approaches to this issue such as Del Castillo’s overlap of confidence cones and Mee and Xiao’s Pareto Optimality, have not considered the correlations of the responses or parameter uncertainty. We propose a new method using the Bayesian reliability to calculate this direction. We utilize this method with four examples: a 2 factor, 2-response experiment where the paths of steepest ascent are similar, ensuring our results match Del Castillo’s and Mee and Xiao’s; a 2 factor, 2-response experiment with …

The Axiom Of Determinacy, Samantha Stanton

Theses and Dissertations

Working within the Zermelo-Frankel Axioms of set theory, we will introduce two important contradictory axioms: Axiom of Choice and Axiom of Determinacy. We will explore perfect polish spaces and games on these spaces to see that the Axiom of Determinacy is inconsistent with the Axiom of Choice. We will see some of the major consequences of accepting the Axiom of Determinacy and how some of these results change when accepting the Axiom of Choice. We will consider 2-player games of perfect information wherein we will see some powerful results having to do with properties of the real numbers. We will …

A Strategy For Improving Performance On A Sharepoint Social Computing Portal, Matt Adkins

Regis University Student Publications (comprehensive collection)

An important usability rule for any web site is the concept of speed. Failing to provide prompt pages and data will result in a negative view of the site and ultimately a lack of usership. In spite of this, many organizations implement web sites without a clear strategy regarding performance. This project explores three database strategies to consider when deploying a Microsoft SharePoint website with a social computing usage style. Although all of the strategies do not provide significant performance gains, the study illuminates several important factors that will increase performance in sites that use other usage styles. To properly …

Kinematic Evidence For Superfast Locomotory Muscle In Two Species Of Teneriffiid Mites, Grace C. Wu, Jonathan C. Wright, Dwight L. Whitaker, Anna N. Ahn

Pomona Faculty Publications and Research

Locomotory muscles typically operate over a narrow range of contraction frequencies, characterized by the predominant fiber types and functional roles. The highest documented frequencies in the synchronous sound-producing muscles of insects (550 Hz) and toadfish (200 Hz) far exceed the contraction frequencies observed in weight-bearing locomotory muscles, which have maximum documented frequencies below 15-30 Hz. Laws of scaling, however, predict that smaller arthropods may employ stride frequencies exceeding this range. In this study we measured running speed and stride frequency in two undescribed species of teneriffiid mites from the coastal sage scrub of southern California. Relative speeds of both species …

A Targeted Maximum Likelihood Estimator Of A Causal Effect On A Bounded Continuous Outcome, Susan Gruber, Mark J. Van Der Laan

U.C. Berkeley Division of Biostatistics Working Paper Series

Targeted maximum likelihood estimation of a parameter of a data generating distribution, known to be an element of a semiparametric model, involves constructing a parametric model through an initial density estimator with parameter epsilon representing an amount of fluctuation of the initial density estimator, where the score of this fluctuation model at epsilon=0 equals the efficient influence curve/canonical gradient. The latter constraint can be satisfied by many parametric fluctuation models, since it represents only a local constraint of its behavior at zero fluctuation. However, it is very important that the fluctuations stay within the semiparametric model for the observed data …

Super Learner In Prediction, Eric C. Polley, Mark J. Van Der Laan

U.C. Berkeley Division of Biostatistics Working Paper Series

Super learning is a general loss based learning method that has been proposed and analyzed theoretically in van der Laan et al. (2007). In this article we consider super learning for prediction. The super learner is a prediction method designed to find the optimal combination of a collection of prediction algorithms. The super learner algorithm finds the combination of algorithms minimizing the cross-validated risk. The super learner framework is built on the theory of cross-validation and allows for a general class of prediction algorithms to be considered for the ensemble. Due to the previously established oracle results for the cross-validation …

Co And H3 + Toward Mwc 1080, Mwc 349, And Lkhα 101, Erika Gibb, S. Brittain, T Rettig, M Troutman, Theodore Simon, C Kulesa

Physics Faculty Works

We present high-resolution, near-infrared NIRSPEC observations of the fundamental rovibrational CO and H+ 3 R(1,0), R(1,1) u , and Q(1,0) transitions toward three early-type young stars: MWC 1080, MWC 349, and LkHα 101. These observations were performed for the purpose of constraining the physical characteristics of the interstellar material along each line of sight. Toward MWC 1080, we detected strong CO absorption and determined a column density upper limit of 1.4 × 1014 cm–2 for H+ 3. We infer that there is very little diffuse material along the line of sight toward MWC 1080 and that the CO absorption is …

Information Technology Control Model For Wastewater Treatment Plant, Ray Sandoval

Regis University Student Publications (comprehensive collection)

The Information Technology (IT) governance of a large wastewater treatment plant was examined with respect to the COBIT framework. The COBIT Quickstart prescription was used as the basis for a phase I current state assessment throughout this examination. Assessment tests were administered to the CIO revealing a strong need for IT governance within this domain. Following, interviews were conducted with individuals in an effort to illustrate the current state of IT governance and identify gaps. A sample of management practices from the four COBIT domains was explored. The department director, CIO and two IT department managers were interviewed and asked …

In Search Of The Elusive Lossless Metal, Jacob B. Khurgin, Greg Sun

Physics Faculty Publications

We show that when one looks beyond the Drude model of metal conductivity, the metals that may be extremely lossy for low frequency electromagnetic waves can become perfectly lossless in the mid-IR region or higher, while retaining the essential metallic characteristic of negative permittivity even at those frequencies. We identify that the transition to the lossless regime occurs when the interatomic distances in the lattice exceed certain values, typically a factor of two larger than those occurring in nature. We believe that advances in nanoassembly may render lossless metals feasible with revolutionary implications for the fields of plasmonics and metamaterials.

The 1905 Einstein Equation In A General Mathematical Analysis Model Of Quasars, Byron E. Bell

Byron E. Bell

Co And H3 + Toward Mwc 1080, Mwc 349, And Lkhα 101, Erika Gibb, S. D. Brittain, T W. Rettig, M Troutman, Theodore Simon, C Kulesa

Erika Gibb

Developing A Baccalaureate Digital Forensics Major, John H. Riley

Annual ADFSL Conference on Digital Forensics, Security and Law

As colleges and universities consider instituting a bachelor’s degree in digital forensics or computer forensics, there are numerous questions to be addressed. While some of these normally occur in the development of any new major, there are aspects of digital forensics which do not often (if ever) occur in other majors. We discuss the issues that should be resolved in the development of a baccalaureate degree program in digital forensics.

Keywords: Digital forensics major. Computer forensics major.