# Physical Sciences and Mathematics Commons™

Articles 1 - 30 of 9674

## Full-Text Articles in Physical Sciences and Mathematics

My Experience Teaching General Chemistry To A Student Who Is Visually Impaired, Katherine M E Stewart Dec 2018

#### My Experience Teaching General Chemistry To A Student Who Is Visually Impaired, Katherine M E Stewart

##### Journal of Science Education for Students with Disabilities

This paper summarizes my experience with teaching a first-year, General Chemistry course to a visually impaired student. This includes accommodations and modifications for both the lecture material and the laboratory. Included are also examples of formats and syntax for txt-based quizzes, tests, and laboratory reports, as well as other general accommodations for both the student and the service dog.

Elaia 2018, Stephen Case Dec 2018

#### Elaia 2018, Stephen Case

##### ELAIA

Over the years, the Program has continued to grow and flourish, and the depth of its research continues to increase. This inaugural journal represents the fruits of that development, containing capstone research projects from the 2018 Honors Program senior class and their faculty mentors. The Table of Contents is diverse, and in that way it is a crystal clear reflection of our program’s community of scholars.

I, along with the members of the Honors Council, am gratified by the work of each student and faculty mentor printed within these pages. Congratulations, everyone!

- Stephen Lowe, Honors Program Director

A Proficient Two-Stage Stratified Randomized Response Strategy, Tanveer A. Tarray, Housila P. Singh Dec 2018

#### A Proficient Two-Stage Stratified Randomized Response Strategy, Tanveer A. Tarray, Housila P. Singh

##### Journal of Modern Applied Statistical Methods

A stratified randomized response model based on R. Singh, Singh, Mangat, and Tracy (1995) improved two-stage randomized response strategy is proposed. It has an optimal allocation and large gain in precision. Conditions are obtained under which the proposed model is more efficient than R. Singh et al. (1995) and H. P. Singh and Tarray (2015) models. Numerical illustrations are also given in support of the present study.

Dec 2018

#### Discontinuity Propagation In Delay Differential-Algebraic Equations, Benjamin Unger

##### Electronic Journal of Linear Algebra

The propagation of primary discontinuities in initial value problems for linear delay differential-algebraic equations (DDAEs) is discussed. Based on the (quasi-) Weierstra{\ss} form for regular matrix pencils, a complete characterization of the different propagation types is given and algebraic criteria in terms of the matrices are developed. The analysis, which is based on the method of steps, takes into account all possible inhomogeneities and history functions and thus serves as a worst-case scenario. Moreover, it reveals possible hidden delays in the DDAE and allows to study exponential stability of the DDAE based on the spectral abscissa. The new classification ...

Dec 2018

#### Asymptotic Results On The Condition Number Of Fd Matrices Approximating Semi-Elliptic Pdes, Paris Vassalos

##### Electronic Journal of Linear Algebra

This work studies the asymptotic behavior of the spectral condition number of the matrices $A_{nn}$ arising from the discretization of semi-elliptic partial differential equations of the form \bdm -\left( a(x,y)u_{xx}+b(x,y)u_{yy}\right)=f(x,y), \edm on the square $\Omega=(0,1)^2,$ with Dirichlet boundary conditions, where the smooth enough variable coefficients $a(x,y), b(x,y)$ are nonnegative functions on $\overline{\Omega}$ with zeros. In the case of coefficient functions with a single and common zero, it is discovered that apart from the minimum order of the zero ...

Regularity Radius: Properties, Approximation And A Not A Priori Exponential Algorithm, David Hartman, Milan Hladik Dec 2018

#### Regularity Radius: Properties, Approximation And A Not A Priori Exponential Algorithm, David Hartman, Milan Hladik

##### Electronic Journal of Linear Algebra

The radius of regularity, sometimes spelled as the radius of nonsingularity, is a measure providing the distance of a given matrix to the nearest singular one. Despite its possible application strength this measure is still far from being handled in an efficient way also due to findings of Poljak and Rohn providing proof that checking this property is NP-hard for a general matrix. There are basically two approaches to handle this situation. Firstly, approximation algorithms are applied and secondly, tighter bounds for radius of regularity are considered. Improvements of both approaches have been recently shown by Hartman and Hlad\'{i ...

Subsets Of Vertices Of The Same Size And The Same Maximum Distance, Maria Axenovich, Dominik Duerrschnabel Dec 2018

#### Subsets Of Vertices Of The Same Size And The Same Maximum Distance, Maria Axenovich, Dominik Duerrschnabel

##### Theory and Applications of Graphs

For a simple connected graph $G=(V,E)$ and a subset $X$ of its vertices, let $$d^*(X) = \max\{{\rm dist}_G(x,y): x,y\in X\}$$ and let

$h^*(G)$ be the largest $k$ such that there are disjoint vertex subsets $A$ and $B$ of $G$, each of size $k$ such that $d^*(A) = d^*(B).$

Let $h^*(n) = \min \{h^*(G): |V(G)|=n\}$. We prove that $h^*(n) = \lfloor (n+1)/3 \rfloor,$ for $n\geq 6.$ This solves the homometric set problem restricted to the largest distance exactly. In addition we compare $h^*(G)$ with ...

#### Bots, Bias And Big Data: Artificial Intelligence, Algorithmic Bias And Disparate Impact Liability In Hiring Practices, Mckenzie Raub

##### Arkansas Law Review

No abstract provided.

Green Supply Chain Management: A Perspective On Best Practices In Gscm Design, Leroy Paddock, Natasha Rao Dec 2018

#### Green Supply Chain Management: A Perspective On Best Practices In Gscm Design, Leroy Paddock, Natasha Rao

##### Arkansas Law Review

No abstract provided.

Dec 2018

#### Reclaiming Energy Efficiency In An Age Of Petroleum Exclusion, Monika Ehrman

##### Arkansas Law Review

No abstract provided.

Contracting For Sustainable Surface Management, Tara Righetti Dec 2018

#### Contracting For Sustainable Surface Management, Tara Righetti

##### Arkansas Law Review

No abstract provided.

Keynote: Motivating Private Climate Governance: The Role Of The Efficiency Gap, Michael P. Vandenbergh Dec 2018

#### Keynote: Motivating Private Climate Governance: The Role Of The Efficiency Gap, Michael P. Vandenbergh

##### Arkansas Law Review

The topic of this symposium, “Environmental Sustainability and Private Governance,” is important and timely. In response to the shrinking federal role in environmental protection, many policy advocates have focused on the role of states and cities, but this symposium focuses on another important source of sustainability initiatives: the private sector, including corporations, households, civic and cultural organizations, religious organizations, private hospitals, colleges and universities, and other organizations. States, cities, and other subnational government responses are increasingly important, but the limited geographic reach of subnational governments constrains their ability to address many environmental problems. For instance, although twenty states have set ...

Extended Method For Several Dichotomous Covariates To Estimate The Instantaneous Risk Function Of The Aalen Additive Model, Luciane Teixeira Passos Giarola, Mario Javier Ferrua Vivanco, Marcelo Angelo Cirillo, Fortunato Silva Menezes Dec 2018

#### Extended Method For Several Dichotomous Covariates To Estimate The Instantaneous Risk Function Of The Aalen Additive Model, Luciane Teixeira Passos Giarola, Mario Javier Ferrua Vivanco, Marcelo Angelo Cirillo, Fortunato Silva Menezes

##### Journal of Modern Applied Statistical Methods

The instantaneous risk function of Aalen’s model is estimated considering dichotomous covariates, using parametric accumulated risk functions to smooth cumulative risk of Aalen by grouping the individuals into sets named parcels. This methodology can be used for data with dichotomous covariates.

Simple Unbalanced Ranked Set Sampling For Mean Estimation Of Response Variable Of Developmental Programs, Girish Chandra, Dinesh S. Bhoj, Rajiv Pandey Dec 2018

#### Simple Unbalanced Ranked Set Sampling For Mean Estimation Of Response Variable Of Developmental Programs, Girish Chandra, Dinesh S. Bhoj, Rajiv Pandey

##### Journal of Modern Applied Statistical Methods

An unbalanced ranked set sampling (RSS) procedure on the skewed survey variable is proposed to estimate the population mean of a response variable from the area of developmental programs which are generally implemented under different phases. It is based on the unbalanced RSS under linear impacts of the program and is compared with the estimators based on simple random sampling (SRS) and balanced RSS. It is shown that the relative precision of the proposed estimator is higher than those of the estimators based on SRS and balanced RSS for three chosen skewed distributions of survey variables.

Commutators Involving Matrix Functions, Osman Kan, Süleyman Solak Nov 2018

#### Commutators Involving Matrix Functions, Osman Kan, Süleyman Solak

##### Electronic Journal of Linear Algebra

Some results are obtained for matrix commutators involving matrix exponentials $\left(\left[e^{A},B\right],\left[e^{A},e^{B}\right]\right)$ and their norms.

Finite Simple Graphs And Their Associated Graph Lattices, James B. Hart, Brian Frazier Nov 2018

#### Finite Simple Graphs And Their Associated Graph Lattices, James B. Hart, Brian Frazier

##### Theory and Applications of Graphs

In his 2005 dissertation, Antoine Vella explored combinatorical aspects of finite graphs utilizing a topological space whose open sets are intimately tied to the structure of the graph. In this paper, we go a step further and examine some aspects of the open set lattices induced by these topological spaces. In particular, we will characterize all lattices that constitute the opens for finite simple graphs endowed with this topology, explore the structure of these lattices, and show that these lattices contain information necessary to reconstruct the graph and its complement in several ways.

The Role Of Mites In The Construction And Weathering Of Siliceous Biospeleothems, María José López-Galindo Nov 2018

#### The Role Of Mites In The Construction And Weathering Of Siliceous Biospeleothems, María José López-Galindo

##### International Journal of Speleology

Acarines are well-documented as formative elements in the biocenosis of soils. However, their role in the construction and weathering of siliceous speleothems has received very little attention in previous research. The present study describes different groups of cavities (nesting/molting sites) excavated by these organisms in the surface of siliceous speleothems that are deposited in the fissures between various granite boulders in Southern Spain. There is evidence that there are immature stages that would survive the heat and drought of summer in the form of small larvae, or euedaphic nymphs, in the soil. This study provides the first description of ...

#### Magic, Matrimony, And The Moon: Medieval Lunar Symbolism In J.R.R. Tolkien’S “The Lay Of Aotrou And Itroun” And “The Fall Of Arthur”, Kristine Larsen

##### Journal of Tolkien Research

This paper (originally delivered at the 2017 International Medieval Congress at the University of Leeds, UK) explores common lunar symbolism in "The Lay of Aotrou and Itroun" and "The Fall of Arthur."

Determinants Of Interval Matrices, Jaroslav Horáček, Milan Hladík, Josef Matějka Nov 2018

#### Determinants Of Interval Matrices, Jaroslav Horáček, Milan Hladík, Josef Matějka

##### Electronic Journal of Linear Algebra

In this paper we shed more light on determinants of real interval matrices. Computing the exact bounds on a determinant of an interval matrix is an NP-hard problem. Therefore, attention is first paid to approximations. NP-hardness of both relative and absolute approximation is proved. Next, methods computing verified enclosures of interval determinants and their possible combination with preconditioning are discussed. A new method based on Cramer's rule was designed. It returns similar results to the state-of-the-art method, however, it is less consuming regarding computational time. Other methods transferable from real matrices (e.g., the Gerschgorin circles, Hadamard's inequality ...

#### Inequalities Between $\Mid A\Mid + \Mid B\Mid$ And $\Mid A^{*} \Mid + \Mid B^{*} \Mid$, Yun Zhang

##### Electronic Journal of Linear Algebra

Let $A$ and $B$ be complex square matrices. Some inequalities between $\mid A \mid + \mid B \mid$ and $\mid A^{*} \mid + \mid B^{*} \mid$ are established. Applications of these inequalities are also given. For example, in the Frobenius norm, $$\parallel\, A+B \,\parallel_{F} \leq \sqrt[4]{2} \parallel \mid A\mid + \mid B\mid \, \parallel_{F}.$$

Structured Eigenvalue/Eigenvector Backward Errors Of Matrix Pencils Arising In Optimal Control, Christian Mehl, Volker Mehrmann, Punit Sharma Nov 2018

#### Structured Eigenvalue/Eigenvector Backward Errors Of Matrix Pencils Arising In Optimal Control, Christian Mehl, Volker Mehrmann, Punit Sharma

##### Electronic Journal of Linear Algebra

Eigenvalue and eigenpair backward errors are computed for matrix pencils arising in optimal control. In particular, formulas for backward errors are developed that are obtained under block-structure-preserving and symmetry-structure-preserving perturbations. It is shown that these eigenvalue and eigenpair backward errors are sometimes significantly larger than the corresponding backward errors that are obtained under perturbations that ignore the special structure of the pencil.

Evolution Of Noble Gas And Water Isotopes Along The Regional Groundwater Flow Path Of The Konya Closed Basin, Turkey, N. Nur Ozyurt, C. Serdar Bayari Nov 2018

#### Evolution Of Noble Gas And Water Isotopes Along The Regional Groundwater Flow Path Of The Konya Closed Basin, Turkey, N. Nur Ozyurt, C. Serdar Bayari

##### International Journal of Speleology

Noble gas and water isotope compositions of regional groundwater were investigated along two transects in the Konya Closed Basin (KCB) of central Turkey. According to the 3He/4He versus Ne/He plot of samples, crust (up to 86%) and mantle (up to 26%) appear to be the primary and secondary sources of dissolved He in groundwater, respectively. After the beginning of both transects where the flow domain is confined, both 3He and 4He accumulate steadily in groundwater. Thereafter, the intermediate recharge from the surface in the unconfined part of regional flow system disrupts the steady accumulation ...

Interpreting The Origin And Evolution Of ‘Karst’ Features From A Siliceous Hydrothermal Terrane: A Case Study From The Upper Geyser Basin In Yellowstone National Park, Usa, Kevin W. Blackwood, Lainee A. Sanders, Stacy I. Gantt-Blackwood Nov 2018

#### Interpreting The Origin And Evolution Of ‘Karst’ Features From A Siliceous Hydrothermal Terrane: A Case Study From The Upper Geyser Basin In Yellowstone National Park, Usa, Kevin W. Blackwood, Lainee A. Sanders, Stacy I. Gantt-Blackwood

##### International Journal of Speleology

The Upper Geyser Basin in Yellowstone National Park occurs over a siliceous hydrothermal terrane containing numerous hot springs and geysers. The pool and vent-conduit geometries of these hydrothermal features share a resemblance to conventional karst features known from other rock types, suggesting karst processes could be responsible for their origin and/or evolution. Hypogene speleogenesis is a cave-forming process in which the formation of caves is decoupled from and occurs independently of surface recharge. The geologic setting for hypogene speleogenesis typically occurs at the distal end of regional groundwater systems wherein the hydrogeology is manifested by ascending fluids and/or ...

Nov 2018

#### Virtual Reality And Visualization In Research And Cultural Preservation, Kari Noe

##### Mānoa Horizons

Visualization as a field can be defined as the process of turning data into interactive images to provide insight or knowledge to a user. New innovations in virtual reality hardware open up new opportunities in the field of visualization, rather than merely for entertainment. My research portfolio and poster highlight two visualization projects that I have created that utilize current virtual reality hardware, the HTC Vive and the University of Hawaiʻi at Mānoa’s Laboratory of Advanced Visualization and Applications (LAVA) Destiny-class CyberCANOE. The At-Risk Artifact Visualization System will allow users to view and study 3D models of archaeological artifacts ...

Perturbation Results And The Forward Order Law For The Moore-Penrose Inverse Of A Product, Nieves Castro-Gonzalez, Robert E. Hartwig Nov 2018

#### Perturbation Results And The Forward Order Law For The Moore-Penrose Inverse Of A Product, Nieves Castro-Gonzalez, Robert E. Hartwig

##### Electronic Journal of Linear Algebra

New expressions are given for the Moore-Penrose inverse of a product $AB$ of two complex matrices. Furthermore, an expression for $(AB)\dg - B\dg A\dg$ for the case where $A$ or $B$ is of full rank is provided. Necessary and sufficient conditions for the forward order law for the Moore-Penrose inverse of a product to hold are established. The perturbation results presented in this paper are applied to characterize some mixed-typed reverse order laws for the Moore-Penrose inverse, as well as the reverse order law.

The Impact Of Sample Size In Cross-Classified Multiple Membership Multilevel Models, Hyewon Chung, Jiseon Kim, Ryoungsun Park, Hyeonjeong Jean Nov 2018

#### The Impact Of Sample Size In Cross-Classified Multiple Membership Multilevel Models, Hyewon Chung, Jiseon Kim, Ryoungsun Park, Hyeonjeong Jean

##### Journal of Modern Applied Statistical Methods

A simulation study was conducted to examine parameter recovery in a cross-classified multiple membership multilevel model. No substantial relative bias was identified for the fixed effect or level-one variance component estimates. However, the level-two cross-classification multiple membership factor variance components were substantially biased with relatively fewer groups.

Nov 2018

#### Teaching Differential Equations Without Computer Graphics Solutions Is A Crime, Beverly H. West

##### CODEE Journal

In the early 1980s computer graphics revolutionized the teaching of ordinary differential equations (ODEs). Yet the movement to teach and learn the qualitative methods that interactive graphics affords seems to have lost momentum. There still exist college courses, even at big universities, being taught without the immense power that computer graphics has brought to differential equations. The vast majority of ODEs that arise in mathematical models are nonlinear, and linearization only approximates solutions sufficiently near an equilibrium. Introductory courses need to include nonlinear DEs. Graphs of phase plane trajectories and time series solutions allow one to see and analyze the ...

Nov 2018

#### Experiences Using Inquiry-Oriented Instruction In Differential Equations, Keith Nabb

##### CODEE Journal

Student-centered instruction can be a challenging endeavor for teachers and students. This article reports on the use of the Inquiry-Oriented Differential Equations (IO-DE) curriculum (Rasmussen, 2002) in an undergraduate differential equations course. Examples of student work are shared with specific reference to research in mathematics education.

Convergence Of A Modified Newton Method For A Matrix Polynomial Equation Arising In Stochastic Problem, Sang-Hyup Seo Mr., Jong-Hyeon Seo Dr., Hyun-Min Kim Prof. Nov 2018

#### Convergence Of A Modified Newton Method For A Matrix Polynomial Equation Arising In Stochastic Problem, Sang-Hyup Seo Mr., Jong-Hyeon Seo Dr., Hyun-Min Kim Prof.

##### Electronic Journal of Linear Algebra

The Newton iteration is considered for a matrix polynomial equation which arises in stochastic problem. In this paper, it is shown that the elementwise minimal nonnegative solution of the matrix polynomial equation can be obtained using Newton's method if the equation satisfies the sufficient condition, and the convergence rate of the iteration is quadratic if the solution is simple. Moreover, it is shown that the convergence rate is at least linear if the solution is non-simple, but a modified Newton method whose iteration number is less than the pure Newton iteration number can be applied. Finally, numerical experiments are ...

Policy And Security Configuration Management Systems In Cross-Organisational Settings, Sascha Pudenz, Markus Manhart, Daniel Bachlechner, Stefan Thalmann Nov 2018

#### Policy And Security Configuration Management Systems In Cross-Organisational Settings, Sascha Pudenz, Markus Manhart, Daniel Bachlechner, Stefan Thalmann

##### International Journal of Business and Technology

A context of use analysis is an important step in every software engineering project. Comprising the identification of the key system users as well as an analysis of the system environment and the activities supported, this engineering step is crucial for the successful development of information systems. Clarity with respect to the users’ demand for system support and their participation in the activities supported by the system is considered particularly important for systems which are critical for organizational continuity and which are used across organizational boundaries. Systems supporting policy and security configuration management in networks of IT service providers, their ...