Physical Sciences and Mathematics Commons^™

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Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Trickle-Down Inspiration: From Mathematics Specialist To Teachers To Students, M. Paruszkiewicz

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

On Becoming A Mathematics Specialist – From Unlikely Beginnings, C. Abdeljawad

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

What Does It Mean To Be An Elementary School Mathematics Specialist?, D. Gates

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

The Mathematics Specialist As Visionary Strategist, K. Anderson

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Beyond The Textbook: Lessons Learned From Two Years As A Mathematics Specialist, K. Race

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

The Role Of The Mathematics Specialist In Albemarle County Public Schools, Virginia, A. Larue-Davis

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

The Characteristics Necessary For A Mathematics Specialist, D. Southwell

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Approaching Mathematics Utopia?, F. Morton

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

The Mathematics Specialist From A Dual Language Immersion Perspective, M. Aguilar

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

The Mathematics Specialist: A Personal View, E. Sinclair

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

A Day In The Life Of Two Mathematics Specialists: Bringing Math To The Forefront In Elementary Schools, B. Rodriguez, S. Garthwaite

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Aims & Scope

Journal of Mathematics and Science: Collaborative Explorations

No abstract provided.

Into The Fray: Novice Teachers Tackle Standards-Based Mathematics, B. Schroder, S. Gningue

Journal of Mathematics and Science: Collaborative Explorations

This article tracks twenty-one graduates of a refom-based mathematics teacher education program for two years as they begin teaching mathematics in public elementary schools in New York City. Using surveys, classroom observations, and interviews, it examines the extent to which these beginning teachers were able to implement standards-based mathematics instruction in their classes. Results of the study were mixed. The novice teachers generally demonstrated an adequate understanding of the underlying mathematics principles and strong intentions of teaching mathematics for understanding.They were generally able to engage children in learning, and most performed at the “beginning stages of effective instruction” in their …

Structure Of Siau(16): Can A Silicon Atom Be Stabilized In A Gold Cage?, Qiang Sun, Qian Wang, Gang Chen, Puru Jena

Physics Publications

Nanostructures of Au and Si as well as Au–Si hybrid structures are topics of great current interest from both scientific and technological points of view. Recent discovery of Au clusters having fullerenelike geometries and the possibility of endohedral complexes with Si atoms inside the Au cage opens new possibilities for designing Au–Si nanostructures. Using ab initio simulated annealing method we have examined the stability of Si–Au16 endohedral complex. Contrary to what we believed, we find that the endohedral configuration is metastable and the structure where Si atom binds to the exterior surface of the Au16 cage is the lowest energy …

Silver Doped Titanium Dioxide Nanomaterials For Enhanced Visible Light Photocatalysis, Michael Seery, Reena George, Suresh Pillai, Patrick Floris

Articles

This paper presents a systematic study on two different preparation methods for titanium dioxide with silver. The silver can be incorporated by irradiating the reaction mixture during preparation to reduce silver ion to silver metal or by direct calcination of the sol–gel material to decompose silver nitrate to silver. Of the two methods, we found the latter produces a more effective photocatalytic material (6–50% improvement in catalytic efficiency), which is attributed to the fact that the silver is homogeneously dispersed throughout the material. The efficiency of the materials were examined using a Q-Sun solar simulator (visible light) and in Dublin …

Temperature-Dependent Characterization Of Thin-Film Filters For Optical Communications, Corneliu Rablau, Christopher Schenk

Physics Publications

The explosive increase in the demand for transmission capacity for optical communications networks has resulted in a widespread deployment of dense wavelength division multiplexing (DWDM). Thin film filters are a critical component of DWDM devices. They consist of Fabry-Perot resonant cavities obtained by vacuum deposition on a glass substrate of alternating layers of two dielectric materials of different indices of refraction. The performance requirements for these filters are determined by the density of channels to be multiplexed. For the 100 GHz ITU grid, these channels are spaced 100 GHz (0.8 nm) apart. Typical figures of merit include the insertion loss …

New Integral Inequalities For Iterated Integrals With Applications, Ravi P. Agarwal, Cheonseoung Ryoo

Mathematics and System Engineering Faculty Publications

Some new nonlinear retarded integral inequalities of Gronwall type are established. These inequalities can be used as basic tools in the study of certain classes of integrodifferential equations.

Reaction-Diffusion In Nonsmooth And Closed Domains, Ugur G. Abdulla

Mathematics and System Engineering Faculty Publications

We investigate the Dirichlet problem for the parabolic equation in a nonsmooth and closed domain possibly formed with irregular surfaces and having a characteristic vertex point. Existence, boundary regularity, uniqueness, and comparison results are established. The main objective of the paper is to express the criteria for the well-posedness in terms of the local modulus of lower semicontinuity of the boundary manifold. The two key problems in that context are the boundary regularity of the weak solution and the question whether any weak solution is at the same time a viscosity solution.

Philos-Type Oscillation Criteria For Second Order Half-Linear Dynamic Equations On Time Scales, Ravi P. Agarwal, Donal O'Regan, Samir H. Saker

Mathematics and System Engineering Faculty Publications

In this paper we establish some oscillation theorems for the second order half-linear dynamic equation (r(t)(x Δ(t) γ) Δ + p(t)x γ(t) = 0, ∈ [a,b], on time scales. Special cases of our results include some well-known oscillation results for second-order differential and half-linear differential equations. Our results are new for difference, generalized difference and q difference half-linear equations. Copyright © 2007 Rocky Mountain Mathematics Consortium.

Automatic Detection And Segmentation Of Robot-Assisted Surgical Motions, Henry C. Lin

Link Foundation Modeling, Simulation and Training Fellowship Reports

Robotic surgical systems such as Intuitive Surgical's da Vinci system provide a rich source of motion and video data from surgical procedures. In principle, this data can be used to evaluate surgical skill, provide surgical training feedback, or document essential aspects of a procedure. If processed online, the data can be used to provide context-specific information or motion enhancements to the surgeon. However, in every case, the key step is to relate recorded motion data to a model of the procedure being performed. This paper examines our progress at developing techniques for "parsing" raw motion data from a surgical task …

Fiber-Optic Devices As Temperature Sensors For Temperature Measurements In Ac Magnetic Fields, Corneliu Rablau, Joseph Lafrance, Anca A. Sala

Physics Presentations And Conference Materials

We report on the investigation of several fiber-optic devices as potential sensors for temperature measurements in AC magnetic fields. Common temperature sensors, such as thermocouples, thermistors or diodes, will create random and/or systematic errors when placed in a magnetic field. A DC magnetic field is susceptible to create a systematic offset to the measurement, while in an AC magnetic field of variable frequency random errors which cannot be corrected for can also be introduced. Fiber-Bragg-gratings and thin film filters have an inherent temperature dependence. Detrimental for their primary applications, the same dependence allows one to use such devices as temperature …

Synthesis And Solution Chemistry Of An Octabrominated Iron (Iii) Porphyrin For Oxygen-Activation Catalysis, Daniel Mccall

The Corinthian

The chemistry of water-soluble cationic porphyrins has been actively pursued in the interest of providing new materials with electronic and magnetic properties suitable for use in optical and memory devices as well as for the fabrication of metallocatalysts for the heterogeneous activation of oxygen. To this end, we have synthesized a new cationic iron(III) porphyrin bearing bromine substituents at the porphyrinic carbons.

Electrochemical studies of the iron(III) complex indicated an increase in oxidation strength by 0.33 V shift to more positive potential for the Fe(IIVII) redox potential compared to the non-brominated iron complex. The synthesis and spectroscopic properties of the …

Sol-Gel Technology In Enhancing The Filtration Of Semi-Volatile Organic Compounds, David T. Nguyen, Jennie Ash, Chastity Ellison

The Corinthian

For the past several years, the field of sol-gel technology has undergone remarkable growth in areas ranging from micro-fibers to chemical sensors. Incorporating an organic phase into the colloidal mixture via pre- or post-doping can modify sol-gels, and manipulation of the size of the pores can be used in developing 'eco-friendly' water filters, particularly for filtering semi-volatile organic compounds in water. In this research project, various forms of sol-gels were made to see which is more efficient for certain semi-volatile chemicals that can be found in diverse sources of water. Organically modified silicates and different structurally sound sol-gels were made …

Content-Based Image Retrieval Using Associative Memories, Arun D. Kulkarni

Computer Science Faculty Publications and Presentations

The rapid growth in the number of large-scale repositories has brought the need for efficient and effective content-based image retrieval (CBIR) systems. The state of the art in the CBIR systems is to search images in database that are “close” to the query image using some similarity measure. The current CBIR systems capture image features that represent properties such as color, texture, and/or shape of the objects in the query image and try to retrieve images from the database with similar features. In this paper, we propose a new architecture for a CBIR system. We try to mimic the human …

Kinetic Model For Sintering Of Supported Metal Particles With Improved Size-Dependent Energetics And Applications To Au On Tio2(110), Stephen C. Parker, Charles T. Campbell

Faculty Work

No abstract provided.

Reactivity And Sintering Kinetics Of Au/Tio2(110) Model Catalysts: Particle Size Effects, Stephen C. Parker, Charles T. Campbell

Faculty Work

We review here our studies of the reactivity and sintering kinetics of model catalysts consisting of gold nanoparticles dispersed on TiO2(110). First, the nucleation and growth of vapor-deposited gold on this surface was experimentally examined using x-ray photoelectron spectroscopy and low energy ion scattering. Gold initially grows as two-dimensional islands up to a critical coverage, hcr, after which 3D gold nanoparticles grow. The results at different temperatures are fitted well with a kinetic model, which includes various energetic parameters for Au adatom migration. Oxygen was dosed onto the resulting gold nanoparticles using a hot filament technique. The desorption energy of …

Coherent Bayesian Inference On Compact Binary Inspirals Using A Network Of Interferometric Gravitational Wave Detectors, Christian R¨Over, Renate Meyer, Nelson Christensen

Faculty Work

Presented in this paper is the description of a Markov chain Monte Carlo (MCMC) routine for conducting coherent parameter estimation for interferometric gravitational wave observations of an inspiral of binary compact objects using multiple detectors. Data from several interferometers are processed, and all nine parameters (ignoring spin) associated with the binary system are inferred, including the distance to the source, the masses, and the location on the sky. The data is matched with time-domain inspiral templates that are 2.5 post-Newtonian (PN) in phase and 2.0 PN in amplitude. We designed and tuned an MCMC sampler so that it is able …

Restricted Colored Permutations And Chebyshev Polynomials, Eric S. Egge

Faculty Work

Several authors have examined connections between restricted permutations and Chebyshev polynomials of the second kind. In this paper we prove analogues of these results for colored permutations. First we define a distinguished set of length two and length three patterns, which contains only 312 when just one color is used. Then we give a recursive procedure for computing the generating function for the colored permutations which avoid this distinguished set and any set of additional patterns, which we use to find a new set of signed permutations counted by the Catalan numbers and a new set of signed permutations counted …

Continued Fractions With Multiple Limits, Douglas Bowman, James Mclaughlin

Mathematics Faculty Publications

For integers m ≥ 2, we study divergent continued fractions whose numerators and denominators in each of the m arithmetic progressions modulo m converge. Special cases give, among other things, an infinite sequence of divergence theorems, the first of which is the classical Stern-Stolz theorem. We give a theorem on a class of Poincar´e type recurrences which shows that they tend to limits when the limits are taken in residue classes and the roots of their characteristic polynomials are distinct roots of unity. We also generalize a curious q-continued fraction of Ramanujan’s with three limits to a continued fraction with …