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Articles 24271 - 24300 of 27401
Full-Text Articles in Physical Sciences and Mathematics
Vr Products, P.D. Quick
Vr Products, P.D. Quick
SWITCH
The article is an analysis of the author’s experience testing several virtual reality items at Siggraph, an annual convention displaying computer machinery and interactive technology products. The author explains each device and how they work, the company behind the invention, as well as how it can help with future technological advancements. Several products are explained in more depth; the i-Glasses by Virtual I/O, Red Planet by Virtual World Entertainment Inc., Venturer S-2 by Thomson Entertainment Systems, and several more. Each item explores virtual reality in differing ways such as interactive video games, more user-friendly 3D modeling, and virtual movie theater …
A Nonexistence Result For Abelian Menon Difference Sets Using Perfect Binary Arrays, K. T. Arasu, James A. Davis, Jonathan Jedwab
A Nonexistence Result For Abelian Menon Difference Sets Using Perfect Binary Arrays, K. T. Arasu, James A. Davis, Jonathan Jedwab
Department of Math & Statistics Faculty Publications
A Menon difference set has the parameters (4N2, 2N2-N, N2-N). In the abelian case it is equivalent to a perfect binary array, which is a multi-dimensional matrix with elements ±1 such that all out-of-phase periodic autocorrelation coefficients are zero. Suppose that the abelian group H×K×Zpα contains a Menon difference set, where p is an odd prime, |K|=pα, and pj≡−1 (mod exp (H)) for some j. Using the viewpoint of perfect binary arrays we prove that K must be cyclic. A …
Why The Study Of Mathematics Is One Of The Liberal Arts, David Bressoud
Why The Study Of Mathematics Is One Of The Liberal Arts, David Bressoud
David Bressoud
No abstract provided.
Study Of The Equilibria Of Parabolic Differential Equations With Interfaces Intersecting The Boundary, Michal Kowalczyk
Study Of The Equilibria Of Parabolic Differential Equations With Interfaces Intersecting The Boundary, Michal Kowalczyk
Doctoral Dissertations
Existence of steady state solutions for the Allen-Cahn and Cahn-Hilliard equations in two dimensional domains is discussed. We are in particular interested in establishing existence of single layered equilibria with the property that their transition layer intersects the boundary. In the case of the Allen-Cahn equation we consider bone-like domains and seek solutions intersecting the flat part of the boundary. We establish conditions for the domain which ensure existence of such equilibria. Their stability is also analyzed. For the Cahn-Hilliard equations we show that there exist equilibria near every point of a local maximum of the curvature of the boundary.
Gröbner Bases And Syzygy Modules, Yonggan Zhao
Gröbner Bases And Syzygy Modules, Yonggan Zhao
Masters Theses & Specialist Projects
The theory of Gröbner bases has become a useful tool in computational commutative algebra. In this paper, we outline some basic results, as they are found in [1], including the concepts of terms ordering, multivariable polynomial division, Gröbner bases, Buchberger's algorithm, and syzygy modules. Specially, we present several equivalent definitions for Gröbner bases and prove how to compute a Gröbner basis for an ideal I of A = k[x1, x2, • • • , xn] generated by {fl, f2, • • • , f8} through Buchberger's algorithm. As an application of Gröbner bases, we present a standard method (see [1]) …
On Single Equational-Axiom Systems For Abelian Groups, Sonsauhray C. Price-Sampson
On Single Equational-Axiom Systems For Abelian Groups, Sonsauhray C. Price-Sampson
Tennessee State University Alumni Theses and Dissertations
No abstract provided.
Uniqueness Of Solutions Of Differential Equations, Gerald Head
Uniqueness Of Solutions Of Differential Equations, Gerald Head
Masters Theses & Specialist Projects
Uniqueness of solutions for ordinary differential equations is studied. The classical theorems which guarantee uniqueness are surveyed, including discussion and examples. Other results concerning uniqueness are considered in the final chapter, including the relationship between convergence of successive approximations and uniqueness, non-uniqueness and continuous dependence on initial conditions.
On Detection And Use Of Reflectional Symmetry In Computer Vision., Dipti Prasad Mukherjee Dr.
On Detection And Use Of Reflectional Symmetry In Computer Vision., Dipti Prasad Mukherjee Dr.
Doctoral Theses
The problems of detection and use of reflectional symmetry in the images of planar shape contours are studied. Symmetry, in general, provides important shape representation cues, some of which we utilise here, to acquire viewpoint information and, towards model based shape matching. We concentrate on local reflectional symmetries of emoothly curved planar objecta, though the methoda are equally applicable to polygonal objects; even this could be extended to certain three-dimensional shapes and for other object relations such as rotational symmetry.Under the affine or perspective approximation to image projection, properties of geometrie invariance are used to find (reflectional) symmetric contour pairs. …
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].
Studies Of Mixing Processes In Gases And Effects On Combustion And Stability, Frank Paul Kozusko Jr.
Studies Of Mixing Processes In Gases And Effects On Combustion And Stability, Frank Paul Kozusko Jr.
Mathematics & Statistics Theses & Dissertations
Three physical models of laminar mixing of initially separated gases are studied. Two models study the effects of the mixing dynamics on the chemical reactions between the gases. The third model studies the structure and stability of a laminar mixing layer in a binary gas. The three models are:
1. Two ideal and incompressible gases representing fuel and oxidizer are initially at rest and separated across an infinite linear interface in a two dimensional system. Combustion, expected as the gases mix, will lead to a rapid rise in temperature in a localized area, i.e. ignition. The mixing of the gases …
An Object Oriented Implemtation Of Fractal Image Compression, Darrell Burkhead
An Object Oriented Implemtation Of Fractal Image Compression, Darrell Burkhead
Masters Theses & Specialist Projects
The technique of Fractal Image Compression, although new, has been described in several ways. Thus far, all descriptions of this compression algorithm read by the author have been in procedural form. The purpose of this paper is to present the Fractal Image Compression algorithm in an object-oriented form and to point out the advantages of this organization. The main advantages of taking an object-oriented approach to this problem are flexibility and maintainability. Different aspects of this algorithm are handled by different objects, thereby allowing for easy customization and testing of each part. Another advantage of this approach is that the …
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 …
Adjacencies In Words, Jean-Marc Fedou, Don Rawlings
Adjacencies In Words, Jean-Marc Fedou, Don Rawlings
Mathematics
Based on two inversion formulas for enumerating words in the free monoid by adjacencies, we present a new approach to a class of permutation problems having Eulerian-type generating functions. We also show that a specialization of one of the inversion formulas gives Diekert's lifting to the free monoid of an inversion theorem due to Cartier and Foata.
Introduction (1995), David L. Neuhouser
Introduction (1995), David L. Neuhouser
ACMS Conference Proceedings 1995
Tenth ACMS Conference on Mathematics from a Christian Perspective
On The Equivalence Of Certain Consequences Of The Proper Forcing Axiom, Peter Nyikos, Leszek Piatkiwicz
On The Equivalence Of Certain Consequences Of The Proper Forcing Axiom, Peter Nyikos, Leszek Piatkiwicz
Faculty Publications
No abstract provided.
Efficient Dominating Sets In Oriented Trees, Quan Yue
Efficient Dominating Sets In Oriented Trees, Quan Yue
Dissertations
No abstract provided.
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
Transitions In Masculinity And Hemingway's Developed "Code", Daniel Polk
Transitions In Masculinity And Hemingway's Developed "Code", Daniel Polk
Honors Theses
The "Hemingway Code" is much more than two words that fit nicely together for a scholar's usage; the words signify a much deeper championing of masculinity, almost a haunting presence. For Ernest Hemingway living life every day, every moment with its fullest masculine fervor, became an obsession, a never-ending quest to be at one with the attitude of never complaining, never crying out, panicking, thinking too much, or regretting. To live a manly life in a series of tactical victories, performed with steadfast ritualistic mannerisms, is to embody masculinity, and therefore the "Hemingway Code."
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 …