Solving the Selesnick-Burrus Filter Design Equations Using Computational Algebra and Algebraic Geometry

In a recent paper, I. Selesnick and C.S. Burrus developed a design method for maximally flat FIR low-pass digital filters with reduced group delay. Their approach leads to a system of polynomial equations depending on three integer design parameters $K,L,M$. In certain cases (their ``Region I''), Selesnick and Burrus were able to derive solutions using only linear algebra; for the remaining cases ("Region II''), they proposed using Gr\"obner bases. This paper introduces a different method, based on multipolynomial resultants, for analyzing and solving the Selesnick-Burrus design equations. The results of calculations are presented, and some patterns concerning the number of solutions as a function of the design parameters are proved.Comment: 34 pages, 2 .eps figure

Magnetocatalytic Adiabatic Spin Torque Orbital Transformations for Novel Chemical and Catalytic Reaction Dynamics: The Little Effect

In this manuscript the theory and phenomena associated with the Little Effect are introduced as the spin induced orbital dynamics of confined fermions under strong magnetic and thermal environments. This Little Effect is considered in details for the electron transfer reactions associated with redox processes of Cu-Ag alloy within deionized water and for the orbital dynamics during the iron catalyzed covalent bond rearrangements associated with amorphous carbon conversion to diamond. Furthermore, prolong extreme conditions of 74,000 amps, 403 V, strong Lorentz compression, and thermal stresses upon this Cu-Ag- H2O system on the basis of the Little Effect of high spin, thermally induced orbital dynamics are predicted and demonstrated to cause the magnetically organized reverse beta, electron capture, proton capture and neutron capture processes for various infrequent pycnonuclear transmutations within the Cu-Ag coil. The general experimental verification and the broad implications of this Little Effect on chemistry are demonstrated within these two ideal systems: an ionic case and a molecular case. The Little Effect is contrasted with the Hedvall Effect as a dynamical phenomenon causing the kinematics of the Hedvall Effect. The compatibility of the Little Effect with the Woodward-Hoffmann Rule is demonstrated. The Little Effect provides greater understanding of order in systems far from equilibrium. The implications of the Little Effect for other interesting phenomena such as ferromagnetism, unconventional magnetism, superparamagnetism, superconductivity, and pycnonuclear effects are concluded

Strengthening Out-of-School Time Nonprofits: The Role of Foundations in Building Organizational Capacity

Placing nonprofits in the larger context of city, state, and national policy, explores the capacity-building support nonprofits running afterschool and summer programs need to provide high-impact networks of learning and developmental opportunities

The millenial generation and politics.

The challenge of the ipod generation to politics

Comic books, politics and readers: the influence of the 2000AD group of comics creators on the formation of Anglo-American comics culture.

This thesis accounts for the influence on the mainstream American comic book industry of a group of comics creators from the cult British science fiction magazine 2000AD in the early 1980s. It details the way in which these creators developed new methods for approaching politics in comic books and delivering that to a more diverse group of readers as a response to censorship in Britain of the boys magazine Action. The thesis looks at the way the medium’s publishing history has interacted with the development of its modes of communication; in particular it explores how the reader in comics is positioned in relation to character and narrative development. To support this argument two chapters are devoted to the methodology and discussion of how the medium works. Comics consist of sequences of images that require reader input to produce a narrative. The chapters on form explore the implications this has for close analysis. These chapters use Hergé’s iconic character Tintin and Grant Morrison and Chas Truog’s surreal Animal Man: Deus Ex Machina as examples and draw upon and critique the theoretical work of Scott McCloud and Thierry Groensteen, among others. The core of the thesis revolves around close analysis of eight texts, three from the UK and five from the USA. These are grouped into categories that broadly represent the different phases of the phenomenon. The first includes John Wagner, Alan Grant and Ian Gibson’s RoboHunter: Play It Again Sam; Alan Moore and Ian Gibson’s The Ballad of Halo Jones and Alan Moore and David Lloyd’s V for Vendetta. These readings are then tested against roughly contemporary American published comics in the form of Chris Claremont and John Byrne’s X-Men: The Dark Phoenix Saga and Frank Miller’s Daredevil before looking at Alan Moore, Steve Bissette and John Totleben’s Saga of The Swamp Thing as a direct transferral of values developed on 2000AD to the American market. The thesis then moves on to consider how British creators influenced American comics moving forward by looking at an example that was clearly influenced by the movement in Frank Miller’s Batman: The Dark Knight Returns again using his earlier comic Ronin for comparison. Throughout the thesis these readings are used to show how these comics imagined new political configurations in response to the right-wing politics of Margaret Thatcher and Ronald Reagan and attempted to do so while engaging a more diverse readership than was previously the case in either the British or American adventure comics mainstream. The thesis as a whole advances comics studies in terms of contributing to theoretical work on how the medium communicates and by providing a detailed look at this period in the history of comics. It also contributes to a framework for future research in cultural studies to approach different aspects of the medium