Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Institution
-
- Taylor University (13)
- Air Force Institute of Technology (9)
- Old Dominion University (7)
- Florida Institute of Technology (6)
- Wright State University (5)
-
- Western Michigan University (4)
- Claremont Colleges (3)
- Rose-Hulman Institute of Technology (3)
- Edith Cowan University (2)
- Embry-Riddle Aeronautical University (2)
- University of Dayton (2)
- Ouachita Baptist University (1)
- Portland State University (1)
- Selected Works (1)
- SelectedWorks (1)
- University of Nebraska - Lincoln (1)
- University of New Mexico (1)
- University of Richmond (1)
- Virginia Commonwealth University (1)
- Keyword
-
- Chemotherapy (3)
- Alpha emission (2)
- Cancer (2)
- Cluster radioactivity (2)
- Cnoidal wave (2)
-
- Exotic radioactivity (2)
- Groundwater flow--Mathematical models (2)
- Heavy nuclei (2)
- Neural networks (Computer science) (2)
- Nonlinear shapes (2)
- Nuclear Theory (2)
- Nuclear deformation (2)
- Nuclear surface (2)
- Optimal algorithms (2)
- Preformation factor (2)
- Solitons (2)
- "Forbidden" regimens (1)
- ASYMPTOTIC SOLUTION (1)
- Airplanes--Fuel--Jettisoning--Mathematical models (1)
- Alfvén waves (1)
- Analysis (1)
- Analytic geometry (1)
- Analytical mathematics (1)
- Articles (Local Journals) (1)
- Atmospheric diffusion (1)
- Atmospheric diffusion--Mathematical models (1)
- Bayes risk (1)
- Bifurcation (1)
- Calculus (1)
- Cantor sets (1)
- Publication
-
- ACMS Conference Proceedings 1995 (13)
- Theses and Dissertations (9)
- Mathematics and System Engineering Faculty Publications (6)
- Dissertations (4)
- Mathematics & Statistics Faculty Publications (4)
-
- Mathematics and Statistics Faculty Publications (4)
- Mathematical Sciences Technical Reports (MSTR) (3)
- All HMC Faculty Publications and Research (2)
- Andrei Ludu (2)
- Computer Science Faculty Publications (2)
- Mathematics Faculty Publications (2)
- Branch Mathematics and Statistics Faculty and Staff Publications (1)
- Department of Math & Statistics Faculty Publications (1)
- Department of Mathematics: Faculty Publications (1)
- Honors Theses (1)
- Mathematics & Statistics Theses & Dissertations (1)
- Mathematics and Applied Mathematics Publications (1)
- Mathematics and Statistics Faculty Publications and Presentations (1)
- Physics Faculty Publications (1)
- Pitzer Faculty Publications and Research (1)
- Saeid Abbasbandy (1)
- Theses : Honours (1)
- Theses: Doctorates and Masters (1)
- Tian-Xiao He (1)
- Publication Type
Articles 1 - 30 of 64
Full-Text Articles in Physical Sciences and Mathematics
Atmospheric Transport And Diffusion Modeling Of Rocket Exhaust, Chad A. Burel
Atmospheric Transport And Diffusion Modeling Of Rocket Exhaust, Chad A. Burel
Theses and Dissertations
Space launches at Vandenberg Air Force Base (VAFB) and the Cape Canaveral Air Station (CCAS) produce exhaust from the solid rocket boosters and liquid hypergolic fuels containing several toxic substances including hydrogen chloride and hydrazine. In order to estimate the health risk that would be imposed upon the public by proposed launches, range safety officials rely on the Rocket Exhaust Effluent Diffusion Model to predict where the exhaust chemicals will go after the launch and how strong the concentrations will be. The original REEDM program averaged the meteorological parameters (wind speed, wind direction, shear, etc.) across the entire mixing level …
Evaluation Of The Air Force Installation Restoration Advisory System, Dale M. Fox
Evaluation Of The Air Force Installation Restoration Advisory System, Dale M. Fox
Theses and Dissertations
This research is intended to evaluate the Air Force's Installation Restoration Advisory System Workstation software and documentation. Groundwater modeling is the biggest aid to Air Force Installation Restoration decision makers in making their conclusions about what to do with their hazardous waste sites where the groundwater is contaminated. The Advisory System aids the user in determining if a site poses a potential problem, and if so assists the user in selecting an appropriate groundwater transport model. The decision of what type of model is most suitable is based upon the user's conceptual site model and the decision is made by …
Macroscale Diffusion-Limited Sorption Modeling--A Preliminary Modeling Exercise For A Dover Afb Site, Jason T. Herman
Macroscale Diffusion-Limited Sorption Modeling--A Preliminary Modeling Exercise For A Dover Afb Site, Jason T. Herman
Theses and Dissertations
A modification was made to the USGS SUTRA code which allowed the simulation of macro scale diffusion effects from specific layers. This modification utilized a split-operator finite element numerical technique to incorporate the macroscale diffusion. The code was applied to a conceptual site developed from a field site at Dover AFB, DL Simulations were done to compare the modified code to the unmodified code which clearly showed the modified code as a closer representation of reality. Simulations were also done to study the effects of pulsed and continuous pumping within the time frame of a field experiment at Dover. These …
A Point Model Of Aquifer Cleanup With A Distribution Of First-Order Rate Parameters, Jon E. Hodge
A Point Model Of Aquifer Cleanup With A Distribution Of First-Order Rate Parameters, Jon E. Hodge
Theses and Dissertations
Many try modeling groundwater contaminant transport to predict it. Is this possible with rate-limited processes, and under what conditions? On occasion, cleanups go slower than predicted (tailing) and hazardous concentrations reappear after cleanup is thought complete (rebound). Rate-limited transport is blamed by many. When immobile water is present, diffusion from varied sizes and shapes of immobile regions can cause varied rate limitations (due to varied diffusion path lengths). Although known, most modelers represent these varied rate-limiting processes with a single 'representative' rate-parameter. This can yield poor predictions for long-term experiments, and the parameter is generally time and pump-rate dependent. This …
An Assessment Of The Impact Of Fuel Jettisoning Events Using Simulation And Impact Models, Jeffrey M. Todd
An Assessment Of The Impact Of Fuel Jettisoning Events Using Simulation And Impact Models, Jeffrey M. Todd
Theses and Dissertations
Work has been accomplished to determine the impact of jettisoned fuel when it reaches the surface. While previous work indicates that jettisoning JP-4 jet fuel results in a negligible ground fall impact, the impact of jettisoning lower volatile JP-8 jet fuel has not been thoroughly characterized. Several efforts have been made to mathematically model the evaporation, advection, and dispersion of the plume of fuel as it travels to the surface. The AFIT Fuel Jettisoning Model, the Fuel Jettisoning Simulation Model, and Fuel-Dumping Impact Assessment Model were evaluated and compared to assess the impact of jettisoned JP-8 jet fuel. Additionally, the …
Asymptotic Optimality Of Sequential Designs For Estimation, Kamel Rekab
Asymptotic Optimality Of Sequential Designs For Estimation, Kamel Rekab
Mathematics and System Engineering Faculty Publications
This paper is concerned with the problem of allocating a fixed number of trials between K independent populations from the exponential family, in order to estimate a linear combination of the means with squared error loss. Introducing independent conjugate priors, a batch sequential procedure is proposed and compared with the optimal. © 1995, Hindawi Publishing Corporation. All rights reserved.
The Support Of Measure-Valued Branching Processes In A Random Environment, Donald A. Dawson, Yi Li, Carl Mueller
The Support Of Measure-Valued Branching Processes In A Random Environment, Donald A. Dawson, Yi Li, Carl Mueller
Mathematics and Statistics Faculty Publications
We consider the one-dimensional catalytic branching process introduced by Dawson and Fleischmann, which is a modification of the super Brownian motion. The catalysts are given by a nonnegative infinitely divisible random measure with independent increments. We give sufficient conditions for the global support of the process to be compact, and sufficient conditions for noncompact global support. Since the catalytic process is related to the heat equation, compact support may be surprising. On the other hand, the super-Brownian motion has compact global support. We find that all nonnegative stable random measures lead to compact global support, and we give an example …
A Simple Mathematical-Model And Alternative Paradigm For Certain Chemotherapeutic Regimens, J. A. Adam, J. C. Panetta
A Simple Mathematical-Model And Alternative Paradigm For Certain Chemotherapeutic Regimens, J. A. Adam, J. C. Panetta
Mathematics & Statistics Faculty Publications
A simplified two-compartment model for cell-specific chemotherapy is analysed by reformulating the governing system of differential equations as a Schrodinger equation in time. With the choice of an exponentially decaying function representing the effects of chemotherapy on cycling tumor cells, the potential function V(t) is a Morse-type potential, well known in the quantum mechanical literature; and the solutions are obtainable in terms of confluent hypergeometric functions (or the related Whittaker functions). Because the chemotherapy is administered periodically, the potential V(t) is periodic also, and use is made of existing theory (Floquet theory) as applied to scattering by periodic potentials in …
Stability Of Growing Front Of Yba(2)Cu(3)O(X) Superconductor In The Presence Of Pt And Ceo(2) Additions, Gregory Kozlowski, Tom Svobodny
Stability Of Growing Front Of Yba(2)Cu(3)O(X) Superconductor In The Presence Of Pt And Ceo(2) Additions, Gregory Kozlowski, Tom Svobodny
Physics Faculty Publications
Distinctive microstructures of textured YBa2Cu3Ox (123) superconductors were examined by scanning electron microscopy and metallurgical microscopy. The samples were synthesized under a residual thermal gradient by using a modified melt textured growth on a Y2BaCuO5 (211) substrate. Also, the unidirectional solidification by a zone‐melting method was performed to fabricate 123 superconducting bars up to 12 cm long placed on the 211 substrate in the horizontal arrangement, with a growth rate R=0.5 mm/h and a temperature gradient of G=20 °C/cm (G/R=400 °C h/cm2). A ramping …
Branches Of Radial Solutions For Semipositone Problems, Alfonso Castro, Sudhasree Gadam, Ratnasingham Shivaji
Branches Of Radial Solutions For Semipositone Problems, Alfonso Castro, Sudhasree Gadam, Ratnasingham Shivaji
All HMC Faculty Publications and Research
We consider the radially symmetric solutions to the equation −Δu(x) = λƒ(u(x)) for x ∈ Ω, u(x) = 0 for x ∈ ∂Ω, where Ω denotes the unit ball in RN (N > 1), centered at the origin and λ > 0. Here ƒ: R→R is assumed to be semipositone (ƒ(0) < 0), monotonically increasing, superlinear with subcritical growth on [0, ∞). We establish the structure of radial solution branches for the above problem. We also prove that if ƒ is convex and ƒ(t)/(tƒ'(t)−ƒ(t)) is a nondecreasing function then for each λ > 0 there exists at most one positive solution u such that (λ, u) belongs to the unbounded branch of positive solutions. Further when ƒ(t) = tp − k, k > 0 and 1 < p < (N + 2)/(N − 2), we prove that the set of positive solutions is connected. Our results are motivated by and extend the developments in [4].
Mathematical And Theological Beliefs: A Cognitive Science Perspective, Ron Benbow
Mathematical And Theological Beliefs: A Cognitive Science Perspective, Ron Benbow
ACMS Conference Proceedings 1995
In recent years, research studies have shown that control decisions and processes, beliefs about the nature of mathematics, attitudes, and other affective variables have enormous impact on the mathematical performance of students. This paper gives an overview of the research on mathematical beliefs and reviews some work done in Christian education relating to theological beliefs. It then compares the two.
Using Data To Develop Mathematical Methods, Philip R. Carlson
Using Data To Develop Mathematical Methods, Philip R. Carlson
ACMS Conference Proceedings 1995
An analysis of ordered pairs and their scatter plots leads to interesting questions related to mathematical modeling. Some statistical methods suggest ways to approach this analysis of the ordered pairs. Both high school and college methods are illustrated in this paper.
The Intermediate Value Theorem, Dale Varberg
The Intermediate Value Theorem, Dale Varberg
ACMS Conference Proceedings 1995
The Intermediate Value Theorem (a continuous function on an interval assumes all values between any two of its values) is one of the big theorems of calculus. Yet the theorem is absent or briefly mentioned in most calculus textbooks. The theorem deserves better as we intend to show by listing ten picturesque consequences that we think could enliven any calculus course.
What Does A Computer Program Mean? An Introduction To Denotational Semantics, Gene B. Chase
What Does A Computer Program Mean? An Introduction To Denotational Semantics, Gene B. Chase
ACMS Conference Proceedings 1995
This paper is for mathematicians who are curious about how topology is being used to prove computer programs correct. Those advanced parts have been limited to Sections III, V, and VI, and they are marked by a [clock symbol]. By contrast, sections II, IV, and VII are suitable as a companion to existing textbooks in a Computer Science course such as Organization of Programming Languages, the course CS 8 as described in Curriculum [1979]. Perhaps in a first reading you might read just those sections.
Among many books and articles on the semantics, or meaning, of computer languages, …
Statistics, Mathematics, And Teaching, David S. Moore
Statistics, Mathematics, And Teaching, David S. Moore
ACMS Conference Proceedings 1995
In discussing our teaching, we may focus on content, what we want our students to learn, or on pedagogy, what we do to help them learn. These two topics are of course related. In particular, changes in pedagogy are often driven in part by changing priorities for what kinds of things we want students to learn. It is nonetheless convenient to address content and pedagogy separately. Pedagogy, certainly the less specific of the two, is the topic of my second paper. This paper concerns content, and in particular contains one side of a conversation between a statistician and mathematicians …
Constructivism, Mathematics Education And Christianity, Ted Watanabe
Constructivism, Mathematics Education And Christianity, Ted Watanabe
ACMS Conference Proceedings 1995
In this paper, I briefly describe what constructivism is and its implications in the field of mathematics education. I will then discuss what this epistemology may mean to Christians who are in the field of mathematics education
The 25 Greatest Mathematicians, Robert Brabenec
The 25 Greatest Mathematicians, Robert Brabenec
ACMS Conference Proceedings 1995
Many have tried to determine the greatest mathematicians in history. The purpose of this paper is to consider making such a list, along with some criteria to consider in making a rank order of these mathematicians.
Experimenting With The Calculus Laboratory Setting, Glen Van Brummelen
Experimenting With The Calculus Laboratory Setting, Glen Van Brummelen
ACMS Conference Proceedings 1995
Reform of post-secondary mathematics education, particularly introductory calculus, is becoming commonplace across North America. Although there are many varieties of reform, most can be placed within the philosophical camp of social constructivism. According to this movement, mathematical knowledge is constructed in an interactive way through instructor-student and inter-student dialogue, rather than built in an axiomatic sense such as the "new math" of 20 years ago, or in the reductionistic, algorithmic sense dominant in secondary and introductory college mathematics. While I hold serious concerns about the relativizing of mathematical knowledge that occurs when social constructivism is adopted as a philosophy of …
On The Miracle Of The Multiplication Of The Loaves And Fishes, Andrew Simoson
On The Miracle Of The Multiplication Of The Loaves And Fishes, Andrew Simoson
ACMS Conference Proceedings 1995
With respect to Jesus’s miracle described in Matthew 14: 15–21, we give whimsical arguments for generating more from what appears to be present—using ideas of set and measure theory and show how to partition the unit interval into two disjoint sets each of whose outer measures is unity; and we go on to discuss the Banach-Tarski paradox showing how to partition the unit sphere into two unit spheres. Note: I do not hold copyrights to Figures 1 and 4.
Improving The Teaching Of Mathematics, David S. Moore
Improving The Teaching Of Mathematics, David S. Moore
ACMS Conference Proceedings 1995
No one concerned about the teaching of college mathematics--and few mathematicians who are not concerned--can have missed the movement to reform teaching in the mathematical sciences at all levels. The teaching of any active branch of knowledge, like the church, is of course "reforming and ever to be reformed." Calls to modernize what we offer students are always with us. What is striking about the current reform movement is not only its momentum but the fact that it centers on pedagogy rather than on content. We ought, say the reformers, to radically alter our style of teaching. My purpose in …
Introduction (1995), David L. Neuhouser
Introduction (1995), David L. Neuhouser
ACMS Conference Proceedings 1995
Tenth ACMS Conference on Mathematics from a Christian Perspective
The Mathematics Of Measuring Capabilities Of Artificial Neural Networks, Martha A. Carter
The Mathematics Of Measuring Capabilities Of Artificial Neural Networks, Martha A. Carter
Theses and Dissertations
Researchers rely on the mathematics of Vapnik and Chervonenkis to capture quantitatively the capabilities of specific artificial neural network (ANN) architectures. The quantifier is known as the V-C dimension, and is defined on functions or sets. Its value is the largest cardinality 1 of a set of vectors in Rd such that there is at least one set of vectors of cardinality 1 such that all dichotomies of that set into two sets can be implemented by the function or set. Stated another way, the V-C dimension of a set of functions is the largest cardinality of a set, such …
Asymptotic Diagonalizations Of A Linear Ordinary Differential System, Feipeng Xie
Asymptotic Diagonalizations Of A Linear Ordinary Differential System, Feipeng Xie
Dissertations
No abstract provided.
Probability Polynomials For Cubic Graphs In The Framework Of Random Topological Graph Theory, Esther Joy Tesar
Probability Polynomials For Cubic Graphs In The Framework Of Random Topological Graph Theory, Esther Joy Tesar
Dissertations
Topological graph theorists study the imbeddings of graphs on surfaces (spheres with handles). Some interesting questions in the field are on w hat surfaces can a graph be 2 -cell imbedded and how m any such imbeddings are there on each surface. The study of these and related questions is called Enumerative Topological Graph Theory. Random Topological Graph Theory uses probability models to study the 2-cell imbeddings. It generalizes the results from Enumerative Topological Graph Theory (which is the uniform case, p= 1/2) to an arbitrary probability p.
We study the model where the sample space consists of all labeled, …
Step Domination In Graphs, Kelly Lynne Schultz
Step Domination In Graphs, Kelly Lynne Schultz
Dissertations
One of the major areas in Graph Theory is domination in graphs. It is this area with which this dissertation deals, with the primary emphasis on step domination in graphs.
In Chapter 1 we present some preliminary definitions and examples. In addition, a background of the area of domination is presented. We then introduce the concepts that lead to step domination.
In Chapter II we formally define the concept of step domination and give several examples. We determine the minimum number of vertices needed in a step domination set for many classes of graphs. We then explore step domination for …
Schedule (1995), Association Of Christians In The Mathematical Sciences
Schedule (1995), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 1995
Tenth ACMS Conference on Mathematics from a Christian Perspective
Table Of Contents (1995), Association Of Christians In The Mathematical Sciences
Table Of Contents (1995), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 1995
Tenth ACMS Conference on Mathematics from a Christian Perspective
Population Genetics: Estimation Of Distributions Through Systems Of Non-Linear Differential Equations, Nacer E. Abrouk, Robert J. Lopez
Population Genetics: Estimation Of Distributions Through Systems Of Non-Linear Differential Equations, Nacer E. Abrouk, Robert J. Lopez
Mathematical Sciences Technical Reports (MSTR)
In stochastic population genetics, the fundamental quantity used for describing the genetic composition of a Mendelian population is the gene frequency. The process of change in the gene frequency is generally modeled as a stochastic process satisfying a stochastic differential equation. The drift and diffusion coefficients in this equation reflect such mechanisms as mutation, selection, and migration that affect the population. Except in very simple cases, it is difficult to determine the probability law of the stochastic process of change in gene frequency. We present a method for obtaining approximations of this process, enabling us to study models more realistic …
A Variable Time-Step Midpoint Scheme For Hamiltonian Systems, Yosi Shibberu
A Variable Time-Step Midpoint Scheme For Hamiltonian Systems, Yosi Shibberu
Mathematical Sciences Technical Reports (MSTR)
A smooth time-step selection formula for the midpoint method is derived which minimize deviations in the Hamiltonian function along piecewise-linear phase space trajectories of autonomous Hamiltonian systems. The time-step formula is implemented in a second order predictor/corrector scheme and applied to Kepler's problem. The formula significantly improves energy conservation as well as the accuracy of the configuration space trajectory. Peak errors in position and momentum coordinates are not significantly reduced, but the time behavior of the errors is markedly more regular.
Free-Boundary Problems For Potential And Stokes Flows Via Nonsmooth Analysis, Srdjan Stojanovic, Tom Svobodny
Free-Boundary Problems For Potential And Stokes Flows Via Nonsmooth Analysis, Srdjan Stojanovic, Tom Svobodny
Mathematics and Statistics Faculty Publications
A new approach to some free boundary problems of the type of jets and cavities for potential flows is introduced. Both potential and Stokes flows are considered. The variable domain problems are relaxed so that they become nonsmooth optimization problems on fixed domains for somewhat singular state equations. State equations are considered, and multivalued generalized gradients of the variational functionals are studied. The method is constructive.