Electromagnetic Resonant Scattering In Layered Media With Fabrication Errors, 2017 Louisiana State University and Agricultural and Mechanical College

#### Electromagnetic Resonant Scattering In Layered Media With Fabrication Errors, Emily Anne Mchenry

*LSU Doctoral Dissertations*

In certain layered electromagnetic media, one can construct a waveguide that supports a harmonic electromagnetic field at a frequency that is embedded in the continuous spectrum. When the structure is perturbed, this embedded eigenvalue moves into the complex plane and becomes a “complex resonance” frequency. The real and imaginary parts of this complex frequency have physical meaning. They lie behind anomalous scattering behaviors known collectively as “Fano resonance”, and people are interested in tuning them to specific values in optical devices. The mathematics involves spectral theory and analytic perturbation theory and is well understood [16], at least on a theoretical ...

Apathy And Concern Over The Future Habitability Of Earth: An Introductory College Assignment Of Forecasting Co2 In The Earth’S Atmosphere, 2017 Utah State University

#### Apathy And Concern Over The Future Habitability Of Earth: An Introductory College Assignment Of Forecasting Co2 In The Earth’S Atmosphere, Benjamin J. Burger

*Journal on Empowering Teaching Excellence*

Non-science, first year regional undergraduate students from rural Utah communities participated in an online introductory geology course and were asked to forecast the rise of CO_{2} in the Earth’s atmosphere. The majority of students predicted catastrophic rise to 5,000-ppm sometime over the next 3,100 years, resulting in an atmosphere nearly uninhabitable to human life. However, the level of concern the students exhibited in their answers was not directly proportional with their timing in their forecasted rise of CO_{2}. This study showcases the importance of presenting students with actual data and using data to develop student ...

Essential Sets For Random Operators Constructed From An Arratia Flow, 2017 Institute of Mathematics, National Academy of Sciences of Ukraine

#### Essential Sets For Random Operators Constructed From An Arratia Flow, Andrey A. Dorogovtsev, Ia. A. Korenovska

*Communications on Stochastic Analysis*

No abstract provided.

A Note On Time-Dependent Additive Functionals, 2017 ENSTA ParisTech

#### A Note On Time-Dependent Additive Functionals, Adrien Barrasso, Francesco Russo

*Communications on Stochastic Analysis*

No abstract provided.

Perpetual Integral Functionals Of Brownian Motion And Blowup Of Semilinear Systems Of Spdes, 2017 Centro de Investigación en Matemáticas, Guanajuato

#### Perpetual Integral Functionals Of Brownian Motion And Blowup Of Semilinear Systems Of Spdes, Eugenio Guerrero, José Alfredo López-Mindela

*Communications on Stochastic Analysis*

No abstract provided.

One Dimensional Complex Ornstein-Uhlenbeck Operator, 2017 Jiangxi Normal University

#### One Dimensional Complex Ornstein-Uhlenbeck Operator, Yong Chen

*Communications on Stochastic Analysis*

No abstract provided.

The Moments Of Lévy's Area Using A Sticky Shuffle Hopf Algebra, 2017 Loughborough University

#### The Moments Of Lévy's Area Using A Sticky Shuffle Hopf Algebra, Robin Hudson, Uwe Schauz, Yue Wu

*Communications on Stochastic Analysis*

No abstract provided.

Distributed Evolution Of Spiking Neuron Models On Apache Mahout For Time Series Analysis, 2017 Cylance, Inc.

#### Distributed Evolution Of Spiking Neuron Models On Apache Mahout For Time Series Analysis, Andrew Palumbo

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Developing Criteria To Design And Assess Mathematical Modeling Problems: From Problems To Social Justice, 2017 Iowa State University

#### Developing Criteria To Design And Assess Mathematical Modeling Problems: From Problems To Social Justice, Ji Yeong I, Hyunyi Jung, Ji-Won Son

*Mathematics Conference Papers, Posters and Presentations*

Despite the interest in modeling and the importance of social justice, there has not been much attention to connecting modeling with social justice. To fill this gap, we developed criteria for mathematical modeling problems that embrace the characteristics of problems and social justice through three phases: literature analysis, thematic categories, and piloting. The criteria will help teacher educators when selecting modeling problems to be used in teacher preparation programs and assessing the modeling problems posed by PSTs.

How Much Do I Know About Mathematical Modeling?, 2017 SUNY University at Buffalo

#### How Much Do I Know About Mathematical Modeling?, Ji-Won Son, Hyunyi Jung, Ji Yeong I

*Mathematics Conference Papers, Posters and Presentations*

Despite the importance of teachers’ conception of mathematical modeling, limited attention is given to this area in the current literature. In this study we examined 78 preservice teachers’ (PSTs) views of mathematical modeling and how their conceptions are reflected in their performance of mathematical modeling problems. Analyses of survey responses revealed that our PSTs seem to develop narrow views of mathematical modeling. In addition, although a large portion of PSTs mistook mathematical modeling with mathematical models or with traditional word problems, we found a positive association between PSTs’ conceptions of mathematical modeling and their mathematical modeling abilities.

Gaussian Guesswork: Infinite Sequences And The Arithmetic-Geometric Mean, 2017 Colorado State University-Pueblo

#### Gaussian Guesswork: Infinite Sequences And The Arithmetic-Geometric Mean, Janet Heine Barnett

*Calculus*

No abstract provided.

Ar(1) Sequence With Random Coefficients:Regenerative Properties And Its Application, 2017 Iowa State University

#### Ar(1) Sequence With Random Coefficients:Regenerative Properties And Its Application, Krishna B. Athreya, Koushik Saha, Radhendushka Srivastava

*Communications on Stochastic Analysis*

No abstract provided.

Some Metric Properties Of The Teichmüller Space Of A Closed Set In The Riemann Sphere, 2017 The Graduate Center, City University of New York

#### Some Metric Properties Of The Teichmüller Space Of A Closed Set In The Riemann Sphere, Nishan Chatterjee

*All Dissertations, Theses, and Capstone Projects*

Let E be an infinite closed set in the Riemann sphere, and let T(E) denote its Teichmüller space. In this dissertation we study some metric properties of T(E). We prove Earle's form of Teichmüller contraction for T(E), holomorphic isometries from the open unit disk into T(E), extend Earle's form of Schwarz's lemma for classical Teichmüller spaces to T(E), and finally study complex geodesics and unique extremality for T(E).

Improving The Accuracy For The Long-Term Hydrologic Impact Assessment (L-Thia) Model, 2017 Purdue University

#### Improving The Accuracy For The Long-Term Hydrologic Impact Assessment (L-Thia) Model, Anqi Zhang, Lawrence Theller, Bernard A. Engel

*The Summer Undergraduate Research Fellowship (SURF) Symposium*

Urbanization increases runoff by changing land use types from less impervious to impervious covers. Improving the accuracy of a runoff assessment model, the Long-Term Hydrologic Impact Assessment (L-THIA) Model, can help us to better evaluate the potential uses of Low Impact Development (LID) practices aimed at reducing runoff, as well as to identify appropriate runoff and water quality mitigation methods. Several versions of the model have been built over time, and inconsistencies have been introduced between the models. To improve the accuracy and consistency of the model, the equations and parameters (primarily curve numbers in the case of this model ...

Speech Processing Approach For Diagnosing Dementia In An Early Stage, 2017 Harrisburg University of Science and Technology

#### Speech Processing Approach For Diagnosing Dementia In An Early Stage, Roozbeh Sadeghian, J. David Schaffer, Stephen A. Zahorian

*Faculty Works*

The clinical diagnosis of Alzheimer’s disease and other dementias is very challenging, especially in the early stages. Our hypothesis is that any disease that affects particular brain regions involved in speech production and processing will also leave detectable finger prints in the speech. Computerized analysis of speech signals and computational linguistics have progressed to the point where an automatic speech analysis system is a promising approach for a low-cost non-invasive diagnostic tool for early detection of Alzheimer’s disease.

We present empirical evidence that strong discrimination between subjects with a diagnosis of probable Alzheimer’s versus matched normal controls ...

Residuated Maps, The Way-Below Relation, And Contractions On Probabilistic Metric Spaces., 2017 University of Louisville

#### Residuated Maps, The Way-Below Relation, And Contractions On Probabilistic Metric Spaces., M. Ryan Luke

*Electronic Theses and Dissertations*

In this dissertation, we will examine residuated mappings on a function lattice and how they behave with respect to the way-below relation. In particular, which residuated $\phi$ has the property that $F$ is way-below $\phi(F)$ for $F$ in appropriate sets. We show the way-below relation describes the separation of two functions and how this corresponds to contraction mappings on probabilistic metric spaces. A new definition for contractions is considered using the way-below relation.

Smirnov Class For Spaces With The Complete Pick Property, 2017 Washington University in St Louis

#### Smirnov Class For Spaces With The Complete Pick Property, Alexandru Aleman, Michael Hartz, John E. Mccarthy, Stefan Richter

*Mathematics Faculty Publications*

We show that every function in a reproducing kernel Hilbert space with a normalized complete Pick kernel is the quotient of a multiplier and a cyclic multiplier. This extends a theorem of Alpay, Bolotnikov and Kaptanoğlu. We explore various consequences of this result regarding zero sets, spaces on compact sets and Gleason parts. In particular, using a construction of Salas, we exhibit a rotationally invariant complete Pick space of analytic functions on the unit disc for which the corona theorem fails.

Construction And Classification Results For Commuting Squares Of Finite Dimensional *-Algebras, 2017 University of Tennessee, Knoxville

#### Construction And Classification Results For Commuting Squares Of Finite Dimensional *-Algebras, Chase Thomas Worley

*Doctoral Dissertations*

In this dissertation, we present new constructions of commuting squares, and we investigate finiteness and isolation results for these objects. We also give applications to the classification of complex Hadamard matrices and to Hopf algebras.

In the first part, we recall the notion of commuting squares which were introduced by Popa and arise naturally as invariants in Jones' theory of subfactors. We review some of the main known examples of commuting squares such as those constructed from finite groups and from complex Hadamard matrices. We also recall Nicoara's notion of defect which gives an upper bound for the number ...

Approximation Of Invariant Subspaces, 2017 University of Tennessee, Knoxville

#### Approximation Of Invariant Subspaces, Faruk Yilmaz

*Doctoral Dissertations*

For a real number α [alpha] the Dirichlet-type spaces 𝔇_{α} [script D sub alpha] are the family of Hilbert spaces consisting of all analytic functions f(z) = ∑_{n=0}^{∞}[sum over n equals zero to infinity] ˆf(n) [f hat of n] z^{n} [z to the n] defined on the open unit disc 𝔻 [unit disc] such that

∑_{n=0}^{∞} (n+ 1)^{α} |ˆf(n )|^{2}

is finite.

For α < 0, the spaces 𝔇_{α} are known as weighted Bergman spaces. When α= 0, then 𝔇_{0}= H^{2}, the well known and much studied Hardy space. For α > 0, the 𝔇 ...

An Analysis Of The Application Of Simplified Silhouette To The Evaluation Of K-Means Clustering Validity, 2017 Dublin Institute of Technology

#### An Analysis Of The Application Of Simplified Silhouette To The Evaluation Of K-Means Clustering Validity, Fei Wang, Hector-Hugo Franco-Penya, John D. Kelleher, John Pugh, Robert Ross

*Conference papers*

Silhouette is one of the most popular and effective internal measures for the evaluation of clustering validity. Simplified Silhouette is a computationally simplified version of Silhouette. However, to date Simplified Silhouette has not been systematically analysed in a specific clustering algorithm. This paper analyses the application of Simplified Silhouette to the evaluation of k-means clustering validity and compares it with the k-means Cost Function and the original Silhouette from both theoretical and empirical perspectives. The theoretical analysis shows that Simplified Silhouette has a mathematical relationship with both the k-means Cost Function and the original Silhouette, while empirically, we show that ...