Digital Commons Network^™

Fibonacci And Lucas Numbers As Tridiagonal Matrix Determinants, Nathan D. Cahill, Darren Narayan

Articles

There are many known connections between determinants of tridiagonal matrices and the Fibonacci and Lucas numbers.

Investigation Of The Diffusion Processes In Self-Processing Acrylamide-Based Photopolymer System, Izabela Naydenova, Raghavendra Jallapuram, Robert Howard, Suzanne Martin, Vincent Toal

Articles

Results from the investigation of the diffusion processes in a dry acrylamide-based photopolymer system are presented. The investigation is carried out in the context of experimental work on optimization of the high spatial frequency response of the photopolymer. Tracing the transmission holographic grating dynamics at short times of exposure is utilized to measure diffusion coefficients. The results reveal that two different diffusion processes contribute with opposite sign to the refractive index modulation responsible for the diffraction grating build up. Monomer diffusion from dark to bright fringe areas increases the refractive index modulation. It is characterized with diffusion constant D0=1.6E-7 cm2/s. …

Self-Assembled Arrays Of Zno Nanoparticles And Their Application As Varistor Materials, Suresh Pillai, Declan Mccormack, John Kelly, Raghavendra Ramesh

Articles

Linear arrays of ZnO nanoparticles have been successfully prepared by a simple sol–gel condensation reaction involving chemical modifiers, followed by drying (80oC) and calcination (500 oC). The calcined material (nanoarray ZnO) is composed of approximately spherical nanoparticles of average diameter 21+/-3 nm, selfassembled to form arrays extending in length to 2–4 mm. The morphology of the ZnO is found to depend sensitively on the amounts of chemical modifiers present. In their absence the ZnO produced (nano-ZnO) is an unstructured agglomerate of nanoparticles. The mechanism for formation of these linear arrays has been investigated by examining the intermediates formed at 80 …

Cosmology With Interacting Dark Energy, Manasse Mbonye

Articles

The early cosmic inflation, when taken along with the recent observations that the universe is currently dominated by a low density vacuum energy, leads to at least two potential problems which modern cosmology must address. First, there is the old cosmological constant problem, with a new twist: the coincidence problem. Secondly, cosmology still lacks a model to predict the observed current cosmic acceleration and to determine whether or not there is a future exit out of this state (as previously in the inflationary case). This constitutes (what is called here) a dynamical problem. In this article a framework is proposed …

Performance Analysis Of Improved Methodology For Incorporation Of Spatial/Spectral Variability In Synthetic Hyperspectral Imagery, Neil W. Scanlan, John Schott, Scott D. Brown

Articles

Synthetic imagery has traditionally been used to support sensor design by enabling design engineers to pre-evaluate image products during the design and development stages. Increasingly exploitation analysts are looking to synthetic imagery as a way to develop and test exploitation algorithms before image data are available from new sensors. Even when sensors are available, synthetic imagery can significantly aid in algorithm development by providing a wide range of "ground truthed" images with varying illumination, atmospheric, viewing and scene conditions. One limitation of synthetic data is that the background variability is often too bland. It does not exhibit the spatial and …

Solids Whose Parallel Cross-Sections Are Regular Polygons, Matthew Coppenbarger

Articles

Given a solid in R3 whose base is contained in the xy-plane and parallel cross-sections perpendicular to the xy-plane are regular polygons, the volume and surface area are determined. Additionally, the asymptotic behavior of the solid as the number of sides of the cross-sectional polygon increases is analyzed (Refer to PDF file for exact formulas).

Torsion-Free Weakly Transitive Abelian Groups, Brendan Goldsmith, Lutz Strungmann

Articles

We introduce the notion of weak transitivity for torsion-free abelian groups. A torsion-free abelian group G is called weakly transitive if for any pair of elements x, y ∈ G and endomorphisms ϕ, ψ ∈ End(G) such that xϕ = y, yψ = x, there exists an automorphism of G mapping x onto y. It is shown that every suitable ring can be realized as the endomorphism ring of a weakly transitive torsion-free abelian group, and we characterize up to a number-theoretical property the separable weakly transitive torsion-free abelian groups.

War Fever, Geoffrey R. Stone

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No abstract provided.

Note, Underenfranchisement: Black Voters And The Presidential Nomination Process, Justin Driver

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No abstract provided.

To Gain The Whole World And Lose His Own Soul: Nineteenth-Century American Dueling As Public Law And Private Code, Alison Lacroix

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No abstract provided.

Evaluation Of Ten Psychometric Criteria For Circumplex Structure, G. Scott Acton, William Revelle

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This study tested for sensitivity to circumplex structure in six existing and four new psychometric criteria that assess the circumplex properties of interstitiality, equal spacing, constant radius, and no preferred rotation. Simulations showed one criterion to be sensitive to equal versus unequal axes(Fisher Test) and four to be sensitive to interstitiality versus simple structure (Gap Test, Variance Test 2, Rotation Test, and Minkowski Test). Five criteria were ineffective (Squared Loadings Index, Gap* Test, Gap Difference Test, Cosine Difference Test, and Variance Test 1). Deviation scoring improved the effectiveness of most criteria and is thus recommended for assessing circumplex structure. This …

A Dynamic And Stochastic Analysis Of Fertilizer Use In Swidden Agriculture, Gregory Deangelo, Amitrajeet A. Batabyal

Articles

The number of times a crop can be harvested on a cleared parcel of forest land (CPFL) before this land must be fallowed is dependent on the decision to use or not to use fertilizers to enhance soil fertility. As such, we first construct a theoretical model of fertilizer use by a swidden cultivator when this cultivator can choose whether or not to enhance soil fertility by using fertilizers. Second, we analyze two different policies (fertilizer use and no fertilizer use) for overseeing the problem of soil fertility deterioration on the CPFL. Finally, we identify a particular likelihood function and …

Swidden Agriculture In Developing Countries: An Ecological-Economic Analysis Of The Fallow Period And Its Length, Amitrajeet A. Batabyal, Hamid Beladi

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Small farmers in many tropical developing countries practice swidden agriculture. A key aspect of swidden agriculture is the time period during which the land is left fallow. This paper uses a new ecological-economic approach to study the fallow period and to determine the optimal length of this period in swidden agriculture. We first construct a theoretical model of a parcel of forest land that has been cleared for swidden agriculture. We then show how the dynamic and the stochastic properties of this cleared land can be used to derive two objective functions for a small farmer that are ecologically meaningful. …

Why Am I Enrolled In The Imaging And Photographic Technology Program?, Andrew Davidhazy

Articles

A brief overview of RIT's Imaging and Photographic Technology program/department where I am a faculty member and why a student might choose this as a program of study.

Partisan Fairness And Redistricting Politics, Adam B. Cox

Articles

Courts and scholars have operated on the implicit assumption that the Supreme Court's "one person, one vote" jurisprudence put redistricting politics on a fixed, ten-year cycle. Recent redistricting controversies in Colorado, Texas, and elsewhere, however, have undermined this assumption, highlighting the fact that most states are currently free to redraw election districts as often as they like. This essay explores whether partisan fairness-a normative commitment that both scholars and the Supreme Court have identified as a central concern of districting arrangements- would be promoted by a procedural rule limiting the frequency of redistricting. While the literature has not considered this …

The Labor And Employment Law Decisions Of The Supreme Court's 2003-04 Term, Stephen F. Befort

Articles

It is longstanding tradition for the Secretary of the ABA's Labor and Employment Law Section to prepare a summary of the labor and employment decisions issued during each Supreme Court term. This article summarizes seven labor and employment decisions issued by the Court during its 2003-04 term as well as two other decisions that, while not arising under a labor or employment statute, have potential implications for labor and employment law. The article also analyzes each of the decisions for their overall impact and significance within the field of labor and employment law. The article goes on to discuss how …

Spectres Of Law And Economics (Book Review), William H. Widen

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No abstract provided.

Dit-Call: Naturally Speaking But Slow, Dermot Campbell, Marty Meinardi, Bunny Richardson, Eugene Coyle, Olivia Donnellan, Pak Kui Leung, Ciaran Macdonaill, Elmar Jung, Charles Pritchard

Articles

This paper introduces a new development in speech technology and describes its planned application in an EFL context. Special attention is paid to the pedagogical potential of the resultant language tool.

On The Cotorsion Images Of The Baer-Specker Group, Brendan Goldsmith, T. Kelly, S, Wallutis

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No abstract available

Quasi-Minimal Abelian Groups, Brendan Goldsmith, S. O. Hogain, S. Wallutis

Articles

An abelian group $G$ is said to be quasi-minimal (purely quasi-minimal, directly quasi-minimal) if it is isomorphic to all its subgroups (pure subgroups, direct summands, respectively) of the same cardinality as $G$. Obviously quasi-minimality implies pure quasi-minimality which in turn implies direct quasi-minimality, but we show that neither converse implication holds. We obtain a complete characterisation of quasi-minimal groups. In the purely quasi-minimal case, assuming GCH, a complete characterisation is also established. An independence result is proved for directly quasi-minimal groups.

On The Empirical Balanced Truncation For Nonlinear Systems, Marissa Condon, Rossen Ivanov

Articles

Novel constructions of empirical controllability and observability gramians for nonlinear systems for subsequent use in a balanced truncation style of model reduction are proposed. The new gramians are based on a generalisation of the fundamental solution for a Linear Time-Varying system. Relationships between the given gramians for nonlinear systems and the standard gramians for both Linear Time-Invariant and Linear Time-Varying systems are established as well as relationships to prior constructions proposed for empirical gramians. Application of the new gramians is illustrated through a sample test-system.

Riemann Tensor Of The Ambient Universe, The Dilaton, And Newton’S Constant, Rossen Ivanov, Emil Prodanov

Articles

We investigate a four-dimensional world, embedded into a five-dimensional spacetime, and find the five-dimensional Riemann tensor via generalisation of the Gauss (--Codacci) equations. We then derive the generalised equations of the four-dimensional world and also show that the square of the dilaton field is equal to the Newton's constant. We find plausable constant and non-constant solutions for the dilaton. Comment: 5 pages, revtex

The Spectral Function For Sturm-Liouville Problems Where The Potential Is Of Wigner-Von Neumann Type Or Slowly Decaying, Daphne Gilbert, B.J. Harris, S.M. Riehl

Articles

We consider the linear, second-order, differential equation (∗) with the boundary condition (∗∗)

We suppose that q(x) is real-valued, continuously differentiable and that q(x)→0 as x→∞ with q∉L1[0,∞). Our main object of study is the spectral function ρα(λ) associated with () and (). We derive a series expansion for this function, valid for λ⩾Λ0 where Λ0 is computable and establish a Λ1, also computable, such that () and () with α=0, have no points of spectral concentration for λ⩾Λ1. We illustrate our results with examples. In particular we consider the case of the Wigner–von Neumann potential.

Electronic Speckle Pattern Shearing Interferometer With A Photopolymer Holographyc Grating, Emilia Mihaylova, Izabela Naydenova, Suzanne Martin, Vincent Toal

Articles

A photopolymer holographic grating is used to produce the two sheared images in an electronic speckle pattern shearing interferometer. A ground glass screen following the grating serves the purpose of eliminating unwanted diffraction orders and to remove the requirement for the CCD camera to resolve the diffraction grating’s pitch. The sheared images on the ground glass are further imaged onto the CCD camera. The fringe pattern contrast was estimated to be above 90%. A validation of the system was done by comparing the theoretical phase difference distribution with the experimental data from the three point bending test.

Fixing The Hole In The Ozone Layer: A Success In The Making (Continued), Drusilla J. Hufford, Paul Horwitz

Articles

No abstract provided.

Copyright And Information Theory: Toward An Alternative Model Of Authorship, Alan L. Durham

Articles

Both literary scholars and students of copyright law have challenged the romantic model of authorship a model emphasizing individual genius and creation ex nihilo Authorship they argue is actually a collaborative effort Authors assemble their works from the fragments of their cultural environment transforming as much as creating Copyright law however still champions the rights of authors and it requires a coherent theory of what authorship is An alternative to the romantic model of authorship can be found in information theory a branch of mathematics dealing at a very fundamental level with all forms of communication Authorship could be defined …

Fixing The Hole In The Ozone Layer: A Success In The Making, Drusilla J. Hufford, Paul Horwitz

Articles

No abstract provided.

Revisiting The Roles Of Legal Rules And Tax Rules In Income Redistribution: A Response To Kaplow & Shavell, Ronen Avraham, David Fortus, Kyle D. Logue

Articles

The debate over whether legal rules should be used to redistribute resources in society or whether redistribution should be left exclusively to the tax-and-transfer system has long occupied philosophers, political theorists, economists, and legal academicians. For many years, the conventional wisdom on this question among legal scholars seemed to be that blanket generalizations were inappropriate. All systems of redistribution distort individuals' choices and entail administrative costs. Therefore, the argument went, a universal preference for using the tax-and-transfer system to redistribute is not justified. Rather, the choice among institutions to accomplish society's redistributive goals was considered to be "an empirical one …

A Novel Tiq2-Assisted Solar Photocatalytic Batch-Process Disinfection Reactor For The Treatment Of Biological And Chemical Contaminants In Domestic Drinking Water In Developing Countries, E. F. Duffy, F. Al Touati, S. C. Kehoe, O. A. Mcloughlin, L. W. Gill, W. Gernjak, I. Oller, M. I. Maldonado, S. Malato, John Cassidy, R. H. Reed, K. G. Mcguigan

Articles

he technical feasibility and performance of photocatalytic Ti02 coatings in batch-process solar disinfection (SODIS) reactors to improve potability of drinking water in developing countries have been studied. Borosilicate glass and PET plastic SODIS reactors fitted with flexible plastic inserts coated with Ti02 powder were shown to be 2(Jt1o and 25% more effective, respectively, than standard SODIS reactors for the inactivation of E. coli K12. Isopropanol at 100 ppm concentration levels was observed to be completely photodegraded after 24 h continuous exposure to lOG mW/cm2 simulated sunlight in a similar solar photocatalytic disinfector (SPC-DIS) reactor. The technique for p roducing the …

Constructive Lower Bounds On Classical Multicolor Ramsey Numbers, Xiaodong Xu, Xie Zheng, Geoffrey Exoo, Stanislaw Radziszowski

Articles

This paper studies lower bounds for classical multicolor Ramsey numbers, first by giving a short overview of past results, and then by presenting several general constructions establishing new lower bounds for many diagonal and off-diagonal multicolor Ramsey numbers. In particular, we improve several lower bounds for R_k(4) and R_k(5) for some small k, including 415 < = R_3(5), 634 < = R_4(4), 2721 < = R_4(5), 3416 < = R_5(4) and 26082 < = R_5(5). Most of the new lower bounds are consequences of general constructions.