Digital Commons Network^™

Towards Decision Making Under Interval Uncertainty, Andrzej Pownuk, Vladik Kreinovich

Departmental Technical Reports (CS)

In many practical situations, we know the exact form of the objective function, and we know the optimal decision corresponding to each values of the corresponding parameters x_i. What should we do if we do not know the exact values of x_i, and instead, we only know each x_i with uncertainty -- e.g., with interval uncertainty? In this case, one of the most widely used approaches is to select, for each i, one value from the corresponding interval -- usually, a midpoint -- and to use the exact-case optimal decision corresponding to the selected values. …

Why Rsa? A Pedagogical Comment, Pedro Barragan Olague, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

One of the most widely used cryptographic algorithms is the RSA algorithm in which a message m encoded as the remainder c of m^e modulo n, where n and e are given numbers -- forming a public code. A similar transformation c^d mod n$, for an appropriate secret code d, enables us to reconstruct the original message. In this paper, we provide a pedagogical explanation for this algorithm.

A Simple Geometric Explanation Of Occam's Razor, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

Occam's razor states that out of possible explanations, plans, and designs, we should select the simplest one. It turns out that in many practical situations, the simplest explanation indeed turns out to be the correct one, the simplest plan is often the most successful, etc. But why this happens is not very clear. In this paper, we provide a simple geometric explanation of Occam's razor.

Specifying A Global Optimization Solver In Z, Angel F. Garcia Contreras, Yoonsik Cheon

Departmental Technical Reports (CS)

NumConSol is an interval-based numerical constraint and optimization solver to find a global optimum of a function. It is written in Python. In this document, we specify the NumConSol solver in Z, a formal specification language based on sets and predicates. The aim is to provide a solid foundation for restructuring and refactoring the current implementation of the NumConSol solver as well as facilitating its future improvements. The formal specification also allows us to design more effective testing for the solver, e.g., generating test cases from the specification.

Intramural Activity Report Fy 2016, Southwestern Oklahoma State University

Intramural Activity Reports

The Sponsored Programs Annual Reports collection contains reports for the Extramural and Intramural Activities of the Southwestern Oklahoma State University faculty and students. The collection currently covers the years 2014 - 2017. More reports will be included as they are available.

Extramural activities mean they were funded by organizations independent of SWOSU.

Intramural activities mean they were funded by SWOSU.

Introduction, Antonio Medina-Rivera, Lee F. Wilberschied Ph.D.

Cultural Encounters, Conflicts, and Resolutions

No abstract provided.

Table Of Contents, Antonio Medina-Rivera, Lee F. Wilberschied Ph.D.

Cultural Encounters, Conflicts, and Resolutions

No abstract provided.

Hannah Arendt And Natives As Extras: Towards An Ontology Of Palestinian Presence?, Francesco Melfi

Cultural Encounters, Conflicts, and Resolutions

The essay grew out of Hannah Arendt’s reflection on the roles and uses of the mask, a meditation on the ontology of the transient public figure or persona vs. one that restitutes the person to the unadulterated Selbstdenken dimension of the Epicurean philosopher-in-hiding. The author individuates in the resulting caesura between the donning and the taking off of the mask the primal source of that paradox in Hanna Arendt’s political behavior that alternately compelled her to confront the ontological presence of the Palestinian people, and made her withdraw into philosophical hiding without ever really coming to terms with it. In …

Teaching Secondary Mathematics And Science Contents Embedded In Historical And Cultural Contexts: Challenges And Possibilities, Roland Pourdavood

Cultural Encounters, Conflicts, and Resolutions

Many preservice teachers come to understand that they must cross the boundaries of their own familiar cultural and historical contexts in order to meet the needs of diverse students. This qualitative and descriptive study examines the evolution of secondary preservice teachers’ views on teaching and learning mathematics and science in historical and cultural contexts. Data were collected throughout participants’ enrollment in a semester-long course entitled Perspectives on Science and Mathematics, which is taken in conjunction with student teaching. Data sources included university classroom observations, preservice teachers’ verbal and written responses to class discussions, reading assignments, and course activities. Common themes …

On Confucius’S Ideology Of Aesthetic Order, Li Wang

Cultural Encounters, Conflicts, and Resolutions

Advocating order, order for all things, and taking order as beauty is the core element of Confucius’s aesthetic ideology. Confucius’s thought of aesthetic order is different from others of the “hundred schools of thoughts” in the pre-Qin period, and is also diverse from the Western value of aesthetic order. Confucius’s thought of aesthetic order has its own unique value system, which has become the mainstream value of aesthetic order in the Chinese society for 2000 years until today, after being integrated with the Chinese feudal imperial system in early Han Dynasty. This paper illustrates Confucius’s ideology of aesthetic order from …

Honors Oracle, December 2016, Marshall University Honors College

Honors Oracle

Marshall University’s Honors College newsletter

Do I Belong? Impact Of Positive Psychology Practice Implementation On Teacher Practice And At-Risk Students' Academic Engagment, Amanda Lyn Swartzlander

Education Dissertations and Projects

This study focused on the implementation of teaching practices targeted to impact self-perceptions of competence, belonging, usefulness, potency, and optimism (CBUPO) (Sagor & Cox, 2013) in at-risk students. The literature surrounding CBUPO focuses on strategies for implementation. However, gaps in the literature exist in researching changes in student perception, teacher practice after incorporating these strategies in their classrooms, and strategy impact on academic engagement of at-risk students. The study is driven by the main research question, “in what ways are student self-perceptions of CBUPO impacted by targeted teaching practices?” In order to inform this inquiry, specific teaching strategies were implemented …

A Matter Of Time: The Relationship Of Class Length And Demographics On The South Carolina Algebra I End-Of-Course Test In South Carolina Middle Schools, Jennifer Addie Ramsey

Education Dissertations and Projects

For middle school students taking Algebra 1 as a high school credit, having sufficient instructional time to understand and explore the course content is crucial. While the focus of the literature review helps lend understanding to the study, there has been limited information concerning assessment scores in middle school math classes and the length of class time. This study investigated the differences in the End-of-Course Examination Program (EOCEP) test scores of middle school students in Algebra 1 as influenced by schedules used in South Carolina public middle schools for each individual year in a 5-year span of the 2010-2015 academic …

Full Issue, No Author

Verbum

No abstract provided.

Cluster Control Of A Multi-Robot Tracking Network And Tracking Geometry Optimization, Jasmine Cashbaugh

Engineering Ph.D. Theses

The position of a moving object can be tracked in numerous ways, the simplest of which is to use a single static sensor. However, the information from a single sensor cannot be verified and may not be reliable without performing multiple measurements of the same object. When multiple static sensors are used, each sensor need only take a single measurement which can be combined with other sensor measurements to produce a more accurate position estimate. Work has been done to develop sensors that move with the tracked object, such as relative positioning, but this research takes this concept one step …

Carbon Nanotube Interconnects For End-Of-Roadmap Semiconductor Technology Nodes, Anshul A. Vyas

Engineering Ph.D. Theses

Advances in semiconductor technology due to aggressive downward scaling of on-chip feature sizes have led to rapid rises in resistivity and current density of interconnect conductors. As a result, current interconnect materials, Cu and W, are subject to performance and reliability constraints approaching or exceeding their physical limits. Therefore, alternative materials such as nanocarbons, metal silicides, and Ag nanowires are actively considered as potential replacements to meet such constraints. Among nanocarbons, carbon nanotube (CNT) is among the leading replacement candidate for on-chip interconnect vias due to its high aspect-ratio nanostructure and superior currentcarrying capacity to those of Cu, W, and …

Striving Toward Transformational Resistance: Youth Participatory Action Research In The Mathematics Classroom, Mary Candace Raygoza

Kalmanovitz School of Education Faculty Works

No abstract provided.

The Subject Librarian Newsletter, Statistics, Fall 2016, Sandy Avila

Libraries' Newsletters

No abstract provided.

Cows - Clean Ocean Wave Sculpture, Kim Bernard

Artist in Residence: Kim Bernard

Description and images from Kim Bernard's University of New England Artist in Residence fall semester 2016 culminating project. Kim worked with UNE students and faculty to gather ocean debris and weave it into a permanent art installment at UNE's Arthur P. Girard Marine Science Center.

Interplanetary Mission Design With Applications To Guidance And Optimal Control Of Aero-Assisted Trajectories, Peter J. Edelman

Open Access Dissertations

A method for finding optimal aerogravity-assist tours of the solar system is developed using indirect methods. Two cost functionals are used in the optimization; finding the minimum required maximum lift-to-drag ratio, with and without a convective heating-rate path constraint, and the path which provides the minimum total stagnation point convective heat load. It is found that using present or near-future thermal protection system materials will suffice for certain aerogravity assist trajectories at Mars. Minimum heat load optimal trajectories are found for aerocapture maneuvers at Uranus and Neptune. With a large radius, and short rotational periods, atmospheric rotation must be taken …

Efficient Processing Of Similarity Queries With Applications, Mingjie Tang

Open Access Dissertations

Today, a myriad of data sources, from the Internet to business operations to scientific instruments, produce large and different types of data. Many application scenarios, e.g., marketing analysis, sensor networks, and medical and biological applications, call for identifying and processing similarities in "big" data. As a result, it is imperative to develop new similarity query processing approaches and systems that scale from low dimensional data to high dimensional data, from single machine to clusters of hundreds of machines, and from disk-based to memory-based processing. This dissertation introduces and studies several similarity-aware query operators, analyzes and optimizes their performance.

The first …

Early Bearing Fault Analysis Using High Frequency Enveloping Techniques, Ilya Shulkin

Open Access Theses

High frequency acceleration enveloping is one of many tools that vibration analysts have at their disposal for the diagnosis of bearing faults in rotating machinery. This technique is believed to facilitate very early detection of potential failures by detecting low amplitude repetitive impacts in frequency ranges above conventional condition monitoring. One traditional enveloping method uses a mathematical operation known as the Hilbert transform along with other signal processing procedures such as band-pass filtering and full-wave rectification. For comparison, another method uses a proprietary algorithm included in National Instruments’ LabVIEWTM add-on package: Sound and Measurement Suite. Enveloping’s inherent problem with noise …

Random Variational-Like Inclusion And Random Proximal Operator Equation For Random Fuzzy Mappings In Banach Spaces, Rais Ahmad, Iqbal Ahmad, Mijanur Rahaman

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we introduce and study a random variational-like inclusion and its corresponding random proximal operator equation for random fuzzy mappings. It is established that the random variational-like inclusion problem for random fuzzy mappings is equivalent to a random fixed point problem. We also establish a relationship between random variational-like inclusion and random proximal operator equation for random fuzzy mappings. This equivalence is used to define an iterative algorithm for solving random proximal operator equation for random fuzzy mappings. Through an example, we show that the random Wardrop equilibrium problem is a special case of the random variational-like inclusion …

On The Convergence Of Two-Dimensional Fuzzy Volterra-Fredholm Integral Equations By Using Picard Method, Ali Ebadian, Foroozan Farahrooz, Amirahmad Khajehnasiri

Applications and Applied Mathematics: An International Journal (AAM)

In this paper we prove convergence of the method of successive approximations used to approximate the solution of nonlinear two-dimensional Volterra-Fredholm integral equations and define the notion of numerical stability of the algorithm with respect to the choice of the first iteration. Also we present an iterative procedure to solve such equations. Finally, the method is illustrated by solving some examples.

Dispersion Characteristics Of Non-Newtonian Fluid During Transportation Of Nanoparticles In Permeable Capillary, Rekha Bali, Nivedita Gupta, Swati Mishra

Applications and Applied Mathematics: An International Journal (AAM)

The present analysis deals with the dispersion characteristics of blood described as Herschel- Bulkley fluid in capillary with permeable walls for fluid and impermeable for the nanoparticles. The contribution of molecular and convective diffusion is recalled from the Taylor and Aris coefficient of diffusion. The effective longitudinal diffusion depends on three parameters namely rheological parameter, pressure parameter, and the permeability parameter. We investigate the influence of the longitudinal transport of nanoparticles with permeable blood vessels on the effective dispersion. It shows that the effective diffusion of nanoparticles reduces with increase in radius of the plug region (i.e., the volume of …

Weighted Inequalities For Riemann-Stieltjes Integrals, Hüseyin Budak, Mehmet Z. Sarikaya

Applications and Applied Mathematics: An International Journal (AAM)

In this paper first we define a new functional which is a weighted version of the functional defined by Dragomir and Fedotov. Then, some inequalities involving this functional are obtained. Finally, we apply this result to establish new bounds for weighted Chebysev functional.

Generalized I Of Strongly Lacunary Of X2 Over P-Metric Spaces Defined By Musielak Orlicz Function, Deepmala Deepmala, N. Subramanian, Lakshmi N. Mishra

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we introduce generalized difference sequence spaces via ideal convergence, lacunary of x² sequence spaces over p-metric spaces defined by Musielak function, and examine the Musielak-Orlicz function which satisfies uniform Δ₂ condition, and we also discuss some topological properties of the resulting spaces of x² with respect to ideal structures which is solid and monotone. Hence, given an example of the space x² this is not solid and not monotone. This theory is very useful for statistical convergence and also is applicable to rough convergence.

A Generalized Polynomial Identity Arising From Quantum Mechanics, Shashikant B. Mulay, John J. Quinn, Mark A. Shattuck

Applications and Applied Mathematics: An International Journal (AAM)

We establish a general identity that expresses a Pfaffian of a certain matrix as a quotient of homogeneous polynomials. This identity arises in the study of weakly interacting many-body systems and its proof provides another way of realizing the equivalence of two proposed types of trial wave functions used to describe such systems. In the proof of our identity, we make use of only elementary linear algebra and combinatorics and thereby avoid use of more advanced conformal field theory in establishing the aforementioned equivalence.

On Arresting The Complex Growth Rates In Rotatory Triply Diffusive Convection, Jyoti Prakash, Renu Bala, Kanu Vaid, Vinod Kumar

Applications and Applied Mathematics: An International Journal (AAM)

Linear stability of a triply diffusive fluid layer (one of the components may be heat) has been mathematically analyzed in the presence of uniform vertical rotation. Upper bounds for the complex growth rate of an arbitrary oscillatory perturbation of growing amplitude are derived which are important especially when at least one of the boundaries is rigid so that exact solutions in closed form are not obtainable. Further, it is proved that the results obtained herein are uniformly valid for any combination of dynamically free and rigid boundaries. It is also shown that the existing results of rotatory hydrodynamic Rayleigh Benard …

A Numerical Scheme For Generalized Fractional Optimal Control Problems, N. Singha, C. Nahak

Applications and Applied Mathematics: An International Journal (AAM)

This paper introduces a generalization of the Fractional Optimal Control Problem (GFOCP). Proposed generalizations differ in terms of explaining the constraint involved in the dynamical system of the control problem. We assume the constraint as an arbitrary function of fractional derivatives and fractional integrals. By this assumption the restriction on constraint, to be of some prescribed function of fractional operators, is removed. Deduction of necessary optimality conditions followed by particular cases and examples has been provided. Additionally, we construct a solution scheme for the suggested class of (GFOCP)’s. The formulation of this scheme is done by implementing the Adomian decomposition …