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2013

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Articles 8581 - 8610 of 8928

Full-Text Articles in Physical Sciences and Mathematics

Quantitative Characterization Of Atmospheric Desert Particles Via Multispectral Lidar Method (Uv To Ir), Using Genetic Algorithms And Compared With Chomette\'S Mode, Samir Zeghbib, Samia Bouzid, Abdelhafid Chaabi Jan 2013

Quantitative Characterization Of Atmospheric Desert Particles Via Multispectral Lidar Method (Uv To Ir), Using Genetic Algorithms And Compared With Chomette\'S Mode, Samir Zeghbib, Samia Bouzid, Abdelhafid Chaabi

Turkish Journal of Physics

Size distribution of desert aerosols was measured via LiDAR multi-spectral method using laser wavelengths from UV to mid-IR \lambda = 0.193, 0.694, 1.064, 3.370 and 10.60 \mu m, and applying statistical Markov chains and genetic algorithms. Our results are compared later with the well-known Chomette's desert model.


Improved Hilbert Moment Thermal Qcd Sum Rules For B_S Meson And Stability With Respect To Moment Parameter, Elşen Veli̇, Gülşah Kaya, Arzu Türkan, Eni̇s Yazici Jan 2013

Improved Hilbert Moment Thermal Qcd Sum Rules For B_S Meson And Stability With Respect To Moment Parameter, Elşen Veli̇, Gülşah Kaya, Arzu Türkan, Eni̇s Yazici

Turkish Journal of Physics

In this paper, we deal with the temperature dependence of the leptonic decay constant and mass of B_s meson in the framework of the Hilbert moment QCD sum rule. In our calculations, we improve the thermal QCD sum rules, taking into account the thermal spectral density and the perturbative 2-loop order corrections to the correlation function. Moreover, we investigate the stability of the results with respect to the Hilbert moment parameter. Our numerical calculations demonstrate that the mass and decay constant are insensitive to the variation of temperature up to T \cong 100 MeV; however, after this value, they start …


Kantowski-Sachs Cosmological Model With Wet Dark Fluid In The General Theory Of Relativity, Arun Ravishankar, Bivudutta Mishra, Pradyumn Kumar Sahoo Jan 2013

Kantowski-Sachs Cosmological Model With Wet Dark Fluid In The General Theory Of Relativity, Arun Ravishankar, Bivudutta Mishra, Pradyumn Kumar Sahoo

Turkish Journal of Physics

The purpose of this study was to investigate the role of wet dark fluid (WDF) in Kantowski-Sachs space-time in the general theory of relativity. In this theory, we solved the field equations for the case where \rho _{WDF}=-2p_{WDF}. Various physical and geometrical properties of the model are also discussed.


The Development Of A Novel Technique To Evaluate The Cr-39 Track Response To Alpha Particles, Khalil Ibrahim Mohammad, Muzahim Ibrahim Azawe Jan 2013

The Development Of A Novel Technique To Evaluate The Cr-39 Track Response To Alpha Particles, Khalil Ibrahim Mohammad, Muzahim Ibrahim Azawe

Turkish Journal of Physics

A novel technique is presented for the assessment of the track response of the detector CR-39 to alpha particles by photothermal deflection spectroscopy and image analysis. The 2 new techniques can be implemented to CR-39 as in situ measurements. The proposed techniques offer the possibility of monitoring nuclear radiation directly. Photothermal deflection is described to detect the change in the thermal and optical properties of the track nuclear detector CR-39 when irradiated to alpha particles. In situ image analysis of the photothermal deflection spot is presented to assess the detection of the CR-39 of any nuclear particle or radiation instantaneously.


Analyses Of Elastically Scattered Charged Pions From Calcium Isotopes And The ^{48}Ca-^{54}Fe Isotone At 180 Mev, Zuhair Fayyad Mahmoud Shehadeh Jan 2013

Analyses Of Elastically Scattered Charged Pions From Calcium Isotopes And The ^{48}Ca-^{54}Fe Isotone At 180 Mev, Zuhair Fayyad Mahmoud Shehadeh

Turkish Journal of Physics

The elastic scattering of 180 MeV positively and negatively charged pions, incident on a set of calcium isotopes and the isotone ^{48}Ca - ^{54}Fe, has been analyzed within the framework of a recently updated simple local optical potential. This potential, particularly at the tail region, has been originally determined from available phase shifts using inverse scattering theory and the Klein--Gordon equation as a guide. The analysis is carried out with and without considering the squared potential term in the Klein-Gordon equation. Coulomb effects are accounted for by implementing Stricker's prescription. The numerical results for the angular distributions with isotopic and …


Evaluation Of Single Electron Transfer Reduction Products Of 3-Oxoindoles As Antibacterial Agents, Debasish Bandyopadhyay, Irani Biswas, Subrata Laskar, Bidyut Basak Jan 2013

Evaluation Of Single Electron Transfer Reduction Products Of 3-Oxoindoles As Antibacterial Agents, Debasish Bandyopadhyay, Irani Biswas, Subrata Laskar, Bidyut Basak

School of Integrative Biological & Chemical Sciences (Formerly Dept. of Chemistry)

Objective: The objective of the present study is to assess the antibacterial properties of six indole derivatives viz, 3-(Naphth-1-y - methyl) –indole (II), 3-(1-Naphthylcarbonyl – indole (III), 3,3' –diformyl-2,2' –bis indole (IV), 1,4- (3,3' –di indolyl) – 1,4-dioxobutane (V), 3-benzoyl indole (VI) and 1,1 – bis – (3-indolyl)- ethane (VII) synthesized by single electron transfer reduction of 3-formylindole (I) against two Gram +ve and two Gram –ve bacteria which usually cause human infections.

Methods: Synthesis of 3-formyl indole from which the indole derivatives were prepared were further characterized by IR and NMR analysis. The six synthesized compounds were screened for …


Climate Of Uncertainty, Laura Fatemi, Liam Heneghan, Randall Honold, Louise Lincoln Jan 2013

Climate Of Uncertainty, Laura Fatemi, Liam Heneghan, Randall Honold, Louise Lincoln

DePaul Art Museum Publications

No abstract provided.


Mining Indirect Antagonistic Communities From Social Interactions, Kuan Zhang, David Lo, Ee Peng Lim, Philips Kokoh Prasetyo Jan 2013

Mining Indirect Antagonistic Communities From Social Interactions, Kuan Zhang, David Lo, Ee Peng Lim, Philips Kokoh Prasetyo

Research Collection School Of Computing and Information Systems

Antagonistic communities refer to groups of people with opposite tastes, opinions, and factions within a community. Given a set of interactions among people in a community, we develop a novel pattern mining approach to mine a set of antagonistic communities. In particular, based on a set of user-specified thresholds, we extract a set of pairs of communities that behave in opposite ways with one another. We focus on extracting a compact lossless representation based on the concept of closed patterns to prevent exploding the number of mined antagonistic communities. We also present a variation of the algorithm using a divide …


Uncertain Congestion Games With Assorted Human Agent Populations , Pradeep Reddy Varakantham, Asrar Ahmed, Shih-Fen Cheng Jan 2013

Uncertain Congestion Games With Assorted Human Agent Populations , Pradeep Reddy Varakantham, Asrar Ahmed, Shih-Fen Cheng

Research Collection School Of Computing and Information Systems

Congestion games model a wide variety of real-world resource congestion problems, such as selfish network routing, traffic route guidance in congested areas, taxi fleet optimization and crowd movement in busy areas. However, existing research in congestion games assumes: (a) deterministic movement of agents between resources; and (b) perfect rationality (i.e. maximizing their own expected value) of all agents. Such assumptions are not reasonable in dynamic domains where decision support has to be provided to humans. For instance, in optimizing the performance of a taxi fleet serving a city, movement of taxis can be involuntary or nondeterministic (decided by the specific …


Automated Parameter Tuning Framework For Heterogeneous And Large Instances: Case Study In Quadratic Assignment Problem, Linda Lindawati, Zhi Yuan, Hoong Chuin Lau, Feida Zhu Jan 2013

Automated Parameter Tuning Framework For Heterogeneous And Large Instances: Case Study In Quadratic Assignment Problem, Linda Lindawati, Zhi Yuan, Hoong Chuin Lau, Feida Zhu

Research Collection School Of Computing and Information Systems

This paper is concerned with automated tuning of parameters of algorithms to handle heterogeneous and large instances. We propose an automated parameter tuning framework with the capability to provide instance-specific parameter configurations. We report preliminary results on the Quadratic Assignment Problem (QAP) and show that our framework provides a significant improvement on solutions qualities with much smaller tuning computational time.


The Pricing Model Of Cloud Computing Services, Jianhui Huang, Dan Ma Jan 2013

The Pricing Model Of Cloud Computing Services, Jianhui Huang, Dan Ma

Research Collection School Of Computing and Information Systems

Cloud computing service providers offer computing resource as a utility and software as a service over network. Many believe that Cloud computing is making an industry-wise paradigm shift for IT use. Besides its technique issues, the business feature of Cloud computing attracts our interests. Specifically the practice of Amazon EC2 introduces an interesting pricing scheme. Amazon provides users with virtual computing instances as a combination of interruptible service (i.e., spot instance) and uninterruptible service (i.e., on-demand and reserved instance). Spot instance is charged at a per use price which is dynamically changing over time; users of spot instance face the …


Isocyanate-Derived Organic Aerogels: Polyurethanes, Polyureas, Polyamides And Polyimides, Chakkaravarthy Chidambareswarapattar Jan 2013

Isocyanate-Derived Organic Aerogels: Polyurethanes, Polyureas, Polyamides And Polyimides, Chakkaravarthy Chidambareswarapattar

Doctoral Dissertations

"Aerogels are 3D assemblies of nanoparticles with high open porosity and high surface area, and are pursued for their low density, low thermal conductivity, low dielectric constant and high acoustic attenuation. The foundation for those exceptional properties is their complex hierarchical solid framework (agglomerates of porous, fractal secondary nanoparticles). On the down side, however, aerogels are also fragile materials. The mechanical strength of silica aerogels has been improved by crosslinking the framework with organic polymers. The crosslinking polymer has been assumed to form a conformal coating on the surface of the skeletal framework bridging covalently the elementary building blocks. However, …


Intercalation And Delamination Of Layered Carbides And Carbonitrides, Olha Mashtalir, Michael Naguib, Vadym Mochalin, Yohan Dall'agnese, Min Heon, Michel W. Barsoum, Yury G. Gogotsi Jan 2013

Intercalation And Delamination Of Layered Carbides And Carbonitrides, Olha Mashtalir, Michael Naguib, Vadym Mochalin, Yohan Dall'agnese, Min Heon, Michel W. Barsoum, Yury G. Gogotsi

Chemistry Faculty Research & Creative Works

Intercalation and delamination of two-dimensional solids in many cases is a requisite step for exploiting their unique properties. Herein we report on the intercalation of two-dimensional Ti3C2, Ti3 CN and TiNbC - so called MXenes. Intercalation of hydrazine, and its co-intercalation with N,N-dimethylformamide, resulted in increases of the c-lattice parameters of surface functionalized f-Ti3C2, from 19.5 to 25.48 and 26.8 Å, respectively. Urea is also intercalated into f-Ti3C2. Molecular dynamics simulations suggest that a hydrazine monolayer intercalates between f-Ti3C2 layers. Hydrazine is also intercalated …


Luminescent Laf₃:Ce-Doped Organically Modified Nanoporous Silica Xerogels, Mingzhen Yao, Ryan Hall, Wei Chen, Dhairyashil Mohite, Nicholas Leventis, N. Lu, J. Wang, M. J. Kim, H. Luo, Hongbing Lu Jan 2013

Luminescent Laf₃:Ce-Doped Organically Modified Nanoporous Silica Xerogels, Mingzhen Yao, Ryan Hall, Wei Chen, Dhairyashil Mohite, Nicholas Leventis, N. Lu, J. Wang, M. J. Kim, H. Luo, Hongbing Lu

Chemistry Faculty Research & Creative Works

Organically modified silica compounds (ORMOSILs) were synthesized by a sol-gel method from amine-functionalized 3-aminopropyl triethoxylsilane and tetramethylorthosilicate and were doped in situ with LaF3:Ce nanoparticles, which in turn were prepared either in water or in ethanol. Doped ORMOSILs display strong photoluminescence either by UV or X-ray excitation and maintain good transparency up to a loading level of 15.66% w/w. The TEM observations demonstrate that ORMOSILs remain nanoporous with pore diameters in the 5-10 nm range. LaF3:Ce nanoparticles doped into the ORMOSILs are rod-like, 5 nm in diameter and 10-15 nm in length. Compression testing indicates that …


Location Based Services In Wireless Ad Hoc Networks, Neelanjana Dutta Jan 2013

Location Based Services In Wireless Ad Hoc Networks, Neelanjana Dutta

Doctoral Dissertations

"In this dissertation, we investigate location based services in wireless ad hoc networks from four different aspects - i) location privacy in wireless sensor networks (privacy), ii) end-to-end secure communication in randomly deployed wireless sensor networks (security), iii) quality versus latency trade-off in content retrieval under ad hoc node mobility (performance) and iv) location clustering based Sybil attack detection in vehicular ad hoc networks (trust). The first contribution of this dissertation is in addressing location privacy in wireless sensor networks. We propose a non-cooperative sensor localization algorithm showing how an external entity can stealthily invade into the location privacy of …


Palynology Of Acid-Saline Lakes Of Western Australiabiostratigraphy And Paleoenvironmental Reconstruction, Carlos A. Sanchez Botero Jan 2013

Palynology Of Acid-Saline Lakes Of Western Australiabiostratigraphy And Paleoenvironmental Reconstruction, Carlos A. Sanchez Botero

Doctoral Dissertations

"Lakes are excellent repositories of fossils and sedimentary features that provide clues to past climatic and geologic events. Sediments from four cores drilled in Lake Aerodrome (LA1-09, LA2-09) and Lake Brown (LB1-09, LB2-09), two of the hundreds of ephemeral lakes in southern Western Australia, were analyzed for their palynological contents to understand the geologic and climatic evolution of the depositional basin. Palynofacies assemblages defined by statistical analyses of dispersed organic matter suggested differences in the depositional conditions and probable correlations between Lake Aerodrome cores. Detailed identifications and quantification of organic-walled microfossils yielded two palynomorph assemblages that reflect a climatic turnover: …


Optical Spectroscopic Studies Of Two Star Forming Regions, Kristen Leilani Erickson Jan 2013

Optical Spectroscopic Studies Of Two Star Forming Regions, Kristen Leilani Erickson

Doctoral Dissertations

"The ρ Ophiuchi and Serpens molecular clouds are sites of low mass star formation. The goals of this study were to identify young stellar objects (YSOs) and estimate ages and masses in order to infer an initial mass function (IMF), investigate disk evolution, and determine the star-forming history. Optical spectroscopic surveys of an unbiased sample of candidate young stars have been completed. Optical images taken in different photometric bands were used to create color-magnitude diagrams from which sources were selected for spectroscopic observation. In combination with published data, 135 association members in ρ Ophiuchi and 63 association members plus 16 …


Topological Convolution Algebras, Daniel Alpay, Guy Salomon Jan 2013

Topological Convolution Algebras, Daniel Alpay, Guy Salomon

Mathematics, Physics, and Computer Science Faculty Articles and Research

In this paper we introduce a new family of topological convolution algebras of the form ⋃p∈NL2(S,μp), where S is a Borel semi-group in a locally compact group G, which carries an inequality of the type ∥f∗g∥p≤Ap,q∥f∥q∥g∥p for p>q+d where d pre-assigned, and Ap,q is a constant. We give a sufficient condition on the measures μp for such an inequality to hold. We study the functional calculus and the spectrum of the elements of these algebras, and present two examples, one in the setting of non commutative stochastic distributions, and the other related to Dirichlet series.


Pontryagin De Branges-Rovnyak Spaces Of Slice Hyperholomorphic Functions, Daniel Alpay, Fabrizio Colombo, Irene Sabadini Jan 2013

Pontryagin De Branges-Rovnyak Spaces Of Slice Hyperholomorphic Functions, Daniel Alpay, Fabrizio Colombo, Irene Sabadini

Mathematics, Physics, and Computer Science Faculty Articles and Research

We study reproducing kernel Hilbert and Pontryagin spaces of slice hyperholomorphic functions which are analogs of the Hilbert spaces of analytic functions introduced by de Branges and Rovnyak. In the first part of the paper we focus on the case of Hilbert spaces, and introduce in particular a version of the Hardy space. Then we define Blaschke factors and Blaschke products and we consider an interpolation problem. In the second part of the paper we turn to the case of Pontryagin spaces. We first prove some results from the theory of Pontryagin spaces in the quaternionic setting and, in particular, …


Maximally Epistemic Interpretations Of The Quantum State And Contextuality, Matthew S. Leifer, O. J. E. Maroney Jan 2013

Maximally Epistemic Interpretations Of The Quantum State And Contextuality, Matthew S. Leifer, O. J. E. Maroney

Mathematics, Physics, and Computer Science Faculty Articles and Research

We examine the relationship between quantum contextuality (in both the standard Kochen-Specker sense and in the generalized sense proposed by Spekkens) and models of quantum theory in which the quantum state is maximally epistemic.We find that preparation noncontextual models must be maximally epistemic, and these in turn must be Kochen-Specker noncontextual. This implies that the Kochen-Specker theorem is sufficient to establish both the impossibility of maximally epistemic models and the impossibility of preparation noncontextual models. The implication from preparation noncontextual to maximally epistemic then also yields a proof of Bell’s theorem from an Einstein-Podolsky-Rosen-like argument.


Quantum Cheshire Cats, Yakir Aharonov, Sandu Popescu, Daniel Rohrlich, Paul Skrzypczyk Jan 2013

Quantum Cheshire Cats, Yakir Aharonov, Sandu Popescu, Daniel Rohrlich, Paul Skrzypczyk

Mathematics, Physics, and Computer Science Faculty Articles and Research

In this paper we present a quantum Cheshire Cat. In a pre- and post-selected experiment we find the Cat in one place, and its grin in another. The Cat is a photon, while the grin is its circular polarization.


Inter- And Intra-Annual Variability Of Vegetation In The Northern Hemisphere And Its Association With Precursory Meteorological Factors, Boksoon Myoung, Yong-Sang Choi, Seungbum Hong, Seon Ki Park Jan 2013

Inter- And Intra-Annual Variability Of Vegetation In The Northern Hemisphere And Its Association With Precursory Meteorological Factors, Boksoon Myoung, Yong-Sang Choi, Seungbum Hong, Seon Ki Park

Mathematics, Physics, and Computer Science Faculty Articles and Research

Determination of phenological variation is one of the most critical challenges in dynamic vegetation modeling, given the lack of a strong theoretical framework. Previous studies generally focused on the timing of a phenological event (e.g., bud-burst or onset of growing season) and its atmospheric prompts, but not on the interactive variations across phenological stages. This study, therefore, investigated the inter- and intra-annual variability existing in all the phenological stages and the relations of the variability with four meteorological variables (surface temperature (Ts), shortwave radiation (SW ), vapor pressure deficit (VPD), and precipitation (PRCP)) using a 25-year (1982-2006) dataset of leaf …


Putting Local Knowledge And Context To Work For Gunnison Sage-Grouse Conservation, Corrine Noel Knapp, James Cochran, F. Stuart Chapin Iii, Gary Kofinas, Nathan Sayre Jan 2013

Putting Local Knowledge And Context To Work For Gunnison Sage-Grouse Conservation, Corrine Noel Knapp, James Cochran, F. Stuart Chapin Iii, Gary Kofinas, Nathan Sayre

Human–Wildlife Interactions

Successful conservation requires adequate understanding of focal species and ecology, practices that may assist species survival, and a community of people willing and able to conserve the species. For many species at risk, we operate with imperfect knowledge in complex conservation contexts. In this case study involving the Gunnison sage-grouse (Centrocercus minimus), we interviewed 26 community-defined local experts, including both those with and without related academic degrees, to assess the utility of local knowledge for understanding and informing conservation opportunities.This project suggests several benefits of integrating local knowledge that apply specifically to rare and endemic populations, including the …


Stakeholder Contemporary Knowledge Needs Regarding The Potential Effects Of Tall Structures On Sage-Grouse, Terry A. Messmer, Robert Hasenyager, James Burruss, Sherry Liguori Jan 2013

Stakeholder Contemporary Knowledge Needs Regarding The Potential Effects Of Tall Structures On Sage-Grouse, Terry A. Messmer, Robert Hasenyager, James Burruss, Sherry Liguori

Human–Wildlife Interactions

The U.S. Energy Policy Act of 2005 required all state and federal agencies to grant utilities access permits to promote reliable, renewable energy production and transmission. Contemporary transmission relies largely on above-ground electric transmission structures and lines. The construction, operation, and maintenance of tall structures, such as power lines, communication towers, wind turbines, and other installations and their associated activities in sage-grouse (Centrocercus spp.) habitats were identified as a conservation threat by the U.S. Fish and Wildlife Service in its decision to designate greater sage-grouse (C. urophasianus; hereafter, sage-grouse) as a candidate species for protection under the Endangered …


Recommended Management Strategies To Limit Anthropogenic Noise Impacts On Greater Sage-Grouse In Wyoming, Gail L. Patricelli, Jessica L. Blickley, Stacie L. Hooper Jan 2013

Recommended Management Strategies To Limit Anthropogenic Noise Impacts On Greater Sage-Grouse In Wyoming, Gail L. Patricelli, Jessica L. Blickley, Stacie L. Hooper

Human–Wildlife Interactions

Recent research has demonstrated that noise from natural gas development negatively impacts sage-grouse (Centrocercus urophasianus) abundance, stress levels, and behaviors. Other types of anthropogenic noise sources are similar to gas-development noise and, thus, the response by sage-grouse is likely to be similar. The results of research suggest that effective management of the natural soundscape is critical to the conservation and protection of sage-grouse. The goals of this review are to discuss current approaches in the management of new and existing noise sources in Wyoming and recommend research priorities for establishing effective noise management strategies. We make 4 interim …


Transport In Correlated And Uncorrelated Random Media, With Applications To Molecularly Doped Polymers, Nilanka Praveena Gurusinghe Jan 2013

Transport In Correlated And Uncorrelated Random Media, With Applications To Molecularly Doped Polymers, Nilanka Praveena Gurusinghe

Doctoral Dissertations

"The commonly observed Poole-Frenkel field dependence; of the mobility of photo-injected charges in molecularly-doped polymers has been shown to arise from the spatially-correlated, Gaussian energy distribution of transport sites encountered by charges moving through the material. Experimental current-time transients obtained for molecularly-doped polymers exhibit universality with respect to electric field and a metal-insulator-like transition from non-dispersive to dispersive transport, features usually identified with multiple trapping models that assume an uncorrelated exponential distribution of trap energies. For materials that exhibit both sets of features the possibility arises that both kinds of disorder coexist. We study here, analytically and numerically, transport in …


Patron-Driven Acquisition And Circulation At An Academic Library: Interaction Effects And Circulation Performance Of Print Books Acquired Via Librarians’ Orders, Approval Plans, And Patrons’ Interlibrary Loan Requests, David C. Tyler, Christina D. Falci, Joyce C. Melvin, Marylou Epp, Anita M. Kreps Jan 2013

Patron-Driven Acquisition And Circulation At An Academic Library: Interaction Effects And Circulation Performance Of Print Books Acquired Via Librarians’ Orders, Approval Plans, And Patrons’ Interlibrary Loan Requests, David C. Tyler, Christina D. Falci, Joyce C. Melvin, Marylou Epp, Anita M. Kreps

University of Nebraska-Lincoln Libraries: Faculty Publications

Numerous publications on patron-driven acquisition (PDA) for print books and similar materials have reported that patron-requested materials circulate more. Tying circulation to selector may be failing to address the complex of factors that contributes to items’ circulation. In the present study, the authors revisit a PDA program’s data and to determine whether PDA print books’ circulation advantage persists when the potential interactions of several additional variables are taken into account. As with prior studies, library patrons were significantly better predictors of circulation than were librarians or approval plans. However, librarians proved to be significantly better predictors than were approval plans.


Temporal Dynamics Of Nutrient Flux Across Hydrologic Unit Boundaries, Md. Aminul Haque Jan 2013

Temporal Dynamics Of Nutrient Flux Across Hydrologic Unit Boundaries, Md. Aminul Haque

Dissertations and Theses @ UNI

The study was done in Dry Run Creek watershed, a small sub-urban watershed in the northwestern part of Black Hawk County, Iowa. Different hydrologic units like, wetland, agricultural area, urban area, and stream channels were compared in terms of nutrient transport. Soil, surface water, and groundwater samples were collected from May, 2012 to October, 2012. Among the hydrologic units, agricultural land has the highest organic matter percentages, infiltration rate, soil nitrate, and total phosphorus. High infiltration rate and amount of nutrients in agricultural soil made those areas more vulnerable to vertical infiltration of pollutants. Agricultural and urban soils had similar …


Einstein Metrics On Piecewise-Linear Three-Spheres, Kyle Pitzen Jan 2013

Einstein Metrics On Piecewise-Linear Three-Spheres, Kyle Pitzen

Dissertations and Theses @ UNI

Einstein metrics on manifolds are in some ways the "best" or most symmetric metrics those manifolds will allow. There has been much work on these metrics in the realm of smooth manifolds, and many results have been published. These results are very difficult to compute directly, however, and so it is helpful to consider piecewise-linear approximations to those manifolds in order to more quickly compute and describe what these metrics actually look like. We will use discrete analogues to powerful preexisting tools to do analysis on two particular triangulations of the three dimensional sphere with the intent of finding Einstein …


Singular Value Inequalities: New Approaches To Conjectures, Peter Chilstrom Jan 2013

Singular Value Inequalities: New Approaches To Conjectures, Peter Chilstrom

UNF Graduate Theses and Dissertations

Singular values have been found to be useful in the theory of unitarily invariant norms, as well as many modern computational algorithms. In examining singular value inequalities, it can be seen how these can be related to eigenvalues and how several algebraic inequalities can be preserved and written in an analogous singular value form. We examine the fundamental building blocks to the modern theory of singular value inequalities, such as positive matrices, matrix norms, block matrices, and singular value decomposition, then use these to examine new techniques being used to prove singular value inequalities, and also look at existing conjectures.