Physical Sciences and Mathematics Commons^™

Experimental Method Development For Direct Dosimetry Of Permanent Interstitial Prostate Brachytherapy Implants, John Michael Jarrett

LSU Master's Theses

Purpose: To ascertain if PET image data of a positron tracer can be used for the quantitative description of dose distribution in support of direct prostate seed dosimetry. Materials and Methods: Simulated brachytherapy seeds were constructed containing trace amounts of a positron emitter, F-18, such that all annihilation events took place in the encapsulation wall. An acrylic prostate phantom containing these seeds was imaged with a GE Discovery ST PET/CT scanner in 2D and 3D acquisition modes and several image reconstruction methods. The PET scan data was used as the input for Monte Carlo calculation of dose distribution due to …

The Use And Influence Of Technology In Mathematics Education, Ma. Louise Antonette N. De Las Peñas, Wei-Chi Yang

Mathematics Faculty Publications

The use of various types of technologies in the classroom and examinations is growing rapidly and is strongly influencing teaching and learning practices. In this paper, we will look at particular situations on how various technologies such as numerically capable calculators, graphics calculators, and technological tools that are CAS enabled or have CAS with Dynamic Geometry, impact students' learning. We also discuss briefly the educational opportunities that are made available by the emergence of graphics calculators with capabilities of handling electronic learning activities, such as Casio’s Class Pad (see [1]) and Casio’s 9860 graphics calculator.

Commensurability Classes Of Twist Knots, Jim Hoste, Patrick D. Shanahan

Mathematics, Statistics and Data Science Faculty Works

In this paper we prove that if M_K is the complement of a non-fibered twist knot K in S³, then M_K is not commensurable to a fibered knot complement in a Z/2Z-homology sphere. To prove this result we derive a recursive description of the character variety of twist knots and then prove that a commensurability criterion developed by D. Calegari and N. Dunfield is satisfied for these varieties. In addition, we partially extend our results to a second infinite family of 2-bridge knots.

A Map On The Space Of Rational Functions, G. Boros, J. Little, V. Moll, Edward Mosteig, R. Stanley

Mathematics, Statistics and Data Science Faculty Works

We describe dynamical properties of a map defined on the space of rational functions. The fixed points of F are classified and the long time behavior of a subclass is described in terms of Eulerian polynomials.

Derived Categories And The Analytic Approach To General Reciprocity Laws. Part I, Michael Berg

Mathematics, Statistics and Data Science Faculty Works

We reformulate Hecke's open problem of 1923, regarding the Fourier-analytic proof of higher reciprocity laws, as a theorem about morphisms involving stratified topological spaces. We achieve this by placing Kubota's formulations of n-Hilbert reciprocity in a new topological context, suited to the introduction of derived categories of sheaf complexes. Subsequently, we begin to investigate conditions on associated sheaves and a derived category of sheaf complexes specifically designed for an attack on Hecke's eighty-year-old challenge.

From Loop Groups To 2-Groups, John C. Baez, Danny Stevenson, Alissa S. Crans, Urs Schreiber

Mathematics, Statistics and Data Science Faculty Works

We describe an interesting relation between Lie 2-algebras, the Kac-Moody central extensions of loop groups, and the group String(n). A Lie 2-algebra is a categorified version of a Lie algebra where the Jacobi identity holds up to a natural isomorphism called the "Jacobiator". Similarly, a Lie 2-group is a categorified version of a Lie group. If G is a simply-connected compact simple Lie group, there is a 1-parameter family of Lie 2-algebras g_k each having Lie(G) as its Lie algebra of objects, but with a Jacobiator built from the canonical 3-form on G. There appears to be no Lie 2-group …

Globalization, Ecological Security, And The Sustainability Of Human Societies, Mimi Larsen Becker

The University Dialogue

No abstract provided.

Synthesis And Nmr-Characterization Of Three Quinamide-Based Disaccharide Mimetics With Unusual Cyclohexane Twist-Conformation, Thuy Trang M. Nguyen, Paul H. Gross, Andreas H. Franz

College of the Pacific Faculty Articles

The synthesis of amide-linked disaccharide mimetics has been explored starting with carbohydrate-based amines and a protected quinic acid lactone. Benzyl-2-amino-4,6-Obenzylidene-2-deoxy-α/β-D-glucopyranose (12) and D-glucamine (14) were successfully coupled to give the corresponding quinamides (13 and 15), while the quinoylation of Oacetylated L-fucopyranosyl methylamine (7) failed. The latter was prepared from per-O-acetylL-fucopyranose via the improved multigram scale synthesis of the corresponding per-O-acetylL-fucopyranosyl cyanide (3). Compound 3 was subsequently hydrogenated to yield a mixture of compound 7 and the per-O-acetylated bis-(fucopyranosylmethyl) amine (5). The vicinal coupling constants in the NMR spectra of all quinamide products revealed considerable flexibility of the cyclohexane ring in …

Fuzzy Membership Function Initial Values: Comparing Initialization Methods That Expedite Convergence, Stephanie Scheibe Lee

Theses and Dissertations

Fuzzy attributes are used to quantify imprecise data that model real world objects. To effectively use fuzzy attributes, a fuzzy membership function must be defined to provide the boundaries for the fuzzy data. The initialization of these membership function values should allow the data to converge to a stable membership value in the shortest time possible. The paper compares three initialization methods, Random, Midpoint and Random Proportional, to determine which method optimizes convergence. The comparison experiments suggest the use of the Random Proportional method.

The Harmony Of The World, Chris Arthur

Faculty publications

Experimental music with mathematics and astronomy is discussed. Chord-like pitch arrangements are determined with geometric proportions arising in planetary movements. Rudimentary digital audio with Fourier series and the JPL on-line ephemeris is developed as a software solution. Computer musicians may listen to and select harmonies by specifying a date in time. A study and application of the ideas in The Harmony of the World by Johannes Kepler is presented with a software demonstration.

Electronic To Vibrational Energy Transfer From Cl* (3 2P1/2) To N2O(Ν1): Failure Of A Simple Kinetic Mechanism, Brian Brumfield

Browse all Theses and Dissertations

Experimental kinetic studies were carried out examining the electronic to vibrational (E-V) energy transfer from spin-orbit excited Cl*(3 ²P_1/2 , 882 cm^-1) to N₂O(ν₁) (symmetric stretch 1285 cm^-1). All studies were carried out in the gas phase at room temperature (298 ± 2 K). Cl* was generated by pulsed laser photolysis of ICl at 532 nm in the presence of various mixtures of N₂O, ICl,Ar, and SO₂. Time-resolved IR signals of N₂O(ν₁) fluorescence at 7.8 μm were analyzed to obtain rate coefficients …

Bismuth Triflate Catalyzed Friedel-Crafts Acylations Of Sydnones, Jennifer Ann Fisher

Browse all Theses and Dissertations

In the present work, suitably functionalized arylsydnones were used to synthesize a variety of 4-acylsydnones and diacyl sydnones, both as potential precursors to novel sydnoquinolines.The approach to the diacyl species is based on the discovery that activated sydnonesbrominate in both the 4 position of the sydnone ring and on the phenyl ring. Thus, it seemed likely that Friedel-Crafts reactions on an activated sydnone would give diacylated species for McMurray coupling to sydnoquinolines. Friedel-Crafts acylations on the 4 position of the sydnone ring have been achieved in high yields using 4 equivalents of various alkyl anhydrides, 25 mol % of bismuth …

Pattern Recognition Via Machine Learning With Genetic Decision-Programming, Carl C. Hoff

Browse all Theses and Dissertations

In the intersection of pattern recognition, machine learning, and evolutionary computation is a new search technique by which computers might program themselves. That technique is called genetic decision-programming. A computer can gain the ability to distinguish among the things that it needs to recognize by using genetic decision-programming for pattern discovery and concept learning. Those patterns and concepts can be easily encoded in the spines of a decision program (tree or diagram). A spine consists of two parts: (1) the test-outcome pairs along a path from the program's root to any of its leaves and (2) the conclusion in that …

An Introduction To Sdr's And Latin Squares, Jordan Bell, Carleton University, School Of Mathematics And Statistics

Morehead Electronic Journal of Applicable Mathematics Archives

No abstract provided.

Water-Level Changes In Shallow Wells Before And After The 1999 İzmit And Düzce Earthquakes And Comparison With Long-Term Water-Level Observations (1999–2004), Nw Turkey, Cenk Yaltirak, Tolga Yalçin, Erkan Bozkurtoğlu, Gali̇p Yüce

Turkish Journal of Earth Sciences

It is well known that earthquakes cause hydrological changes, such as drying or flooding of water wells, fluctuations in ground-water levels in wells, changes in water quality, and formation of new springs. Significant drops in ground-water levels in wells were recorded during recent earthquakes in NW Turkey on August 17, 1999 in İzmit and on November 12, 1999 in Düzce. The İzmit earthquake (Ms 7.4) caused pre-seismic water-level changes in wells at Eskişehir, located 118-216 km away from the epicentre. Well-level changes in the Eskişehir, Sakarya, Bursa, Yalova, Yenişehir and İnegöl basins were recorded prior to and after the Düzce …

Mechanism Of Ion-Pair Chromatography And Chromatographic Behavior Of Liophilic Ions, Irina Leonidovna Kazakevich

Seton Hall University Dissertations and Theses (ETDs)

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Reaction Of Organosilicon Hydrides With Inorganic Surfaces: An Example Of Surface Catalyzed Self-Assembly And Water Porosimetry: A New Technique To Characterize Hydrophobic Porous Surfaces And Wetting In Nano-Confinement, Roy Helmy

Seton Hall University Dissertations and Theses (ETDs)

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Solid Phase Microextraction And Stir Bar Sorptive Extraction Coupled To Ion Mobility Spectrometry, John K. Lokhnauth

Seton Hall University Dissertations and Theses (ETDs)

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Synthesis Of Novel Porphyrazines And Binding Studies To Dna Quadruplexes, Carlos Ramirez

Seton Hall University Dissertations and Theses (ETDs)

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Cavity-Based Secondary Mineralization In Volcanic Tuffs Of Yucca Mountain, Nevada: A New Type Of The Polymineral Vadose Speleothem, Or A Hydrothermal Deposit?, Yuri V. Dublyansky, Sergey Z. Smirnov

International Journal of Speleology

Secondary minerals (calcite, chalcedony, quartz, opal, fl uorite, heulandite, strontianite) residing in open cavities in the Miocene rhyolite tuffs of Yucca Mountain, Nevada have been interpreted by some researchers as "speleothemic" formations, deposited as a result of downward infi ltration of meteoric waters (DOE, 2001, Whelan et al., 2002). The major mineral of the paragenesis, calcite, shows spectacular trend of the textural and crystal morphology change: from anhedral granular occurrences, through (optional) platelet, bladed and scepter varieties, to euhedral blocky morphologies. The trend is consistent with the overall decrease in the supesaturation of the mineral forming solution. Stable isotope properties …

Partitions, Compartments And Portals: Cave Development In Internally Impounded Karst Masses, R. Armstrong L. Osborne

International Journal of Speleology

Dykes and other vertical bodies can act as aquicludes within bodies of karst rock. These partitions separate isolated bodies of soluble rock called compartments. Speleogenetically each compartment will behave as a small impounded-karst until the partition becomes breached. Breaches through partitions, portals, allow water, air and biota including humans to pass between sections of caves that were originally isolated.

The Effects Of Satellite-Derived Vegetation Cover Variability On Simulated Land–Atmosphere Interactions In The Nams, Toshi Matsui, Venkataraman Lakshmi, Eric Small

Faculty Publications

Substantial evolution of Normalized Difference Vegetation Index (NVDI)-derived vegetation cover (Fg)exists in the southwestern United States and Mexico. The intraseasonal and wet-/dry-year fluctuations of Fgare linked to observed precipitation in the North American monsoon system (NAMS). The manner in whichthe spatial and temporal variability of Fg influences the land–atmosphere energy and moisture fluxes, andassociated likelihood of moist convection in the NAMS regions, is examined. For this, the regional climatemodel (RCM) is employed, with three different Fg boundary conditions to examine the influence ofintraseasonal and wet-/dry-year vegetation variability. Results show that a strong link exists between evaporativefraction (EF), surface temperature, and …

Key Grazing Levels (Foo Targets) For Pasture And Sheep Management, Department Of Agriculture, Western Australia

Animal production and livestock published reports

Food On Offer (FOO) is the amount of pasture in front of an animal, and is measured in kilograms Dry Matter per hectare. Managing pastures to key grazing levels - or FOO targets - can result in improved production of grazing systems in Mediterranean environments which are characterized by slow winter growth, peak spring growth and dry summers. These targets vary according to what production response is required.

This information sheet illustrates key target FOO for sheep grazing annual pastures during autumn and spring.

Department Of Fisheries Annual Report To Parliament 2004/05, Government Of Western Australia Department Of Fisheries

Department of Fisheries Annual Reports

In accordance with Section 62 of the Financial Administration and Audit Act 1985 (FAAA) and Section 263 of the Fish Resources Management Act 1994 (FRMA), I submit for your information the Annual Report to Parliament of the Department of Fisheries of Western Australia for the financial year ending 30 June 2005.

The 2004/05 financial year has seen some important shifts in the external environment that bear on the economic viability of our major commercial fisheries and fishing-based tourism. But there has also been major progress within the Department on a number of significant issues - both strategic and operational - …

Kinetic Parameters Of Glass Transition In Glassy Se_{1 - X}Sb_X Alloys, R. S. Tiwari, N. Mehta, R. K. Shukla, A. Kumar

Turkish Journal of Physics

Differential Scanning Calorimetry (DSC) is performed at different heating rates under non-isothermal conditions to study the glass transition kinetics of glassy Se_{1 - x}Sb_x (x = 0.02, 0.04, 0.06, 0.08 and 0.10) alloys. The activation energy of glass transition E_t has been calculated using the two different non-isothermal methods. One of the two methods is based on the theory of glass transition kinetics and structural relaxation as developed by Moynihan and other workers, while the other relation is well-known Kissinger's relation. The results show that the values of E_t determined from both the methods are in good agreement with one …

Crystalline Textures On The Al-Ni-Co Quasicrystal Surface, Mehmet Erbudak, Jean-Nicolas Longchamp, Yves Weisskopf

Turkish Journal of Physics

We have generated cubic Al alloys as commensurate single crystals on the tenfold-symmetry surface of the quasicrystalline Al-Ni-Co alloy by ion bombarding its surface. We find that the crystal-quasicrystal interface contains several alignments of mutual high-symmetry directions and planes. In order to explore the structural matching conditions at the crystal-quasicrystal interface, we have grown Al films on the decagonal surface of Al-Ni-Co by vapor deposition. The initial growth mode of Al is commensurate. As the coverage is increased, Al starts to grow in cubic textures breaking into multi-twinned, few-nanometer- large domains. The symmetry of the substrate determines thereby the orientation …

Journal Of Mathematics And Science: Collaborative Explorations

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Mathematics Specialists In Alexandria City Public Schools, S. Birnie

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Mathematics Teacher Specialists – Making A Difference For Student Learning, T. Rowan

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Hopewell, Virginia: How Do You "Hook" Elementary Teachers Into Enjoying And Seeing The Beauty Of Mathematics?, Y. Smith-Jones

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.