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Articles 24331 - 24360 of 27401
Full-Text Articles in Physical Sciences and Mathematics
In Memory Of Stavros Busenberg, Mario Martelli, Graeme Wake, Courtney Coleman, Melissa Aczon
In Memory Of Stavros Busenberg, Mario Martelli, Graeme Wake, Courtney Coleman, Melissa Aczon
Humanistic Mathematics Network Journal
No abstract provided.
To Stephen W. Hawking, Lillia N. Apostolova
To Stephen W. Hawking, Lillia N. Apostolova
Humanistic Mathematics Network Journal
No abstract provided.
Missing Dimensions Of Mathematics Instruction, Walter Meyer
Missing Dimensions Of Mathematics Instruction, Walter Meyer
Humanistic Mathematics Network Journal
No abstract provided.
Writing Assignments In An Abstract Algebra Course, Krystina K. Leganza
Writing Assignments In An Abstract Algebra Course, Krystina K. Leganza
Humanistic Mathematics Network Journal
No abstract provided.
Some Notes On How Students Perceive Mathematics, Joan Countryman
Some Notes On How Students Perceive Mathematics, Joan Countryman
Humanistic Mathematics Network Journal
No abstract provided.
Poetry, Monte J. Zerger
And This Is The Tale That Xeno Told, Sanda Z. Keith
And This Is The Tale That Xeno Told, Sanda Z. Keith
Humanistic Mathematics Network Journal
No abstract provided.
What Is Mathematics?: An Answer To Our Liberal Arts Dilemma, Bruce Williamson
What Is Mathematics?: An Answer To Our Liberal Arts Dilemma, Bruce Williamson
Humanistic Mathematics Network Journal
No abstract provided.
Human Values And Science, Art & Mathematics, Cindy Cichy
Human Values And Science, Art & Mathematics, Cindy Cichy
Humanistic Mathematics Network Journal
No abstract provided.
Reaction To Human Values, Science, And Mathematics By Lillian R. And Hugh Gray Lieber, Jeanette Nelson
Reaction To Human Values, Science, And Mathematics By Lillian R. And Hugh Gray Lieber, Jeanette Nelson
Humanistic Mathematics Network Journal
No abstract provided.
Math Puzzler, Paul J. Tobias
Math Puzzler, Paul J. Tobias
Humanistic Mathematics Network Journal
No abstract provided.
The Study Of Mathematics And Growth In The Spirit, Rosemary Schmalz
The Study Of Mathematics And Growth In The Spirit, Rosemary Schmalz
Humanistic Mathematics Network Journal
No abstract provided.
Principal Points And Self-Consistent Points Of Elliptical Distributions, Thaddeus Tarpey, Luning Li, Bernard Flury
Principal Points And Self-Consistent Points Of Elliptical Distributions, Thaddeus Tarpey, Luning Li, Bernard Flury
Mathematics and Statistics Faculty Publications
In this paper we study principal points and self-consistent points of p-variate elliptical distributions. We also discuss implications of our results for the computation and estimation of principal points.
Categories Of Fuzzy Sets With Values In A Quantale Or Projectale, Lawrence Stout
Categories Of Fuzzy Sets With Values In A Quantale Or Projectale, Lawrence Stout
Lawrence N. Stout
Properties of the lattice L are reflected in the properties of the categories Set(L), Set(L)/(A,α), and the lattice U(A, α). The lattices U(A,α) best reflect the structures on the lattice if the structure is inherited by closed down segments and direct products. Operations at the level of the slice categories require distributivity too. The first object of this paper is to see how the additional structures given by an associative operation & which distributes over sups and hence has a right adjoint (a quantale in the sense of Rosenthal [7]) shows up at the three different levels for fuzzy sets. …
A Completely Integrable System And Parametric Representation Of Solutions Of The Wadati-Konno-Ichikawa Hierarchy, Zhijun Qiao
A Completely Integrable System And Parametric Representation Of Solutions Of The Wadati-Konno-Ichikawa Hierarchy, Zhijun Qiao
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
A finite-dimensional involutive system is presented, and the Wadati-Konno- Ichikawa (WKI) hierarchy of nonlinear evolution equations and their commutator representations are discussed in this article. By this finite-dimensional involutive system, it is proven that under the so-called Bargmann constraint between the potentials and the eigenfunctions, the eigenvalue problem (called the WKI eigenvalue problem) studied by Wadati, Konno, and Ichikawa [J. Phys. Sot. Jpn. 47, 1698 (1979)] is nonlinearized as a completely integrable Hamiltonian system in the Liouville sense. Moreover, the parametric representation of the solution of each equation in the WKI hierarchy is obtained by making use of the solution …
Periodicity And Indecomposability, William Thomas Ingram
Periodicity And Indecomposability, William Thomas Ingram
Mathematics and Statistics Faculty Research & Creative Works
In this paper we characterize the existence of periodic points of odd period greater than one for unimodal mappings of an interval onto itself. The interesting juxtaposition of this condition with the occurrence in inverse limits of the well-known Brouwer-Janiszewski-Knaster continuum is explored. Also obtained is a characterization of indecomposability of certain inverse limits using a single unimodal bonding map. © 1995 American Mathematical Society.
Introduction To Linear Algebra: Models, Methods, And Theory, Alan Tucker
Introduction To Linear Algebra: Models, Methods, And Theory, Alan Tucker
Department of Applied Mathematics & Statistics Faculty Books
This book develops linear algebra around matrices. Vector spaces in the abstract are not considered, only vector spaces associated with matrices. This book puts problem solving and an intuitive treatment of theory first, with a proof-oriented approach intended to come in a second course, the same way that calculus is taught. The book's organization is straightforward: Chapter 1 has introductory linear models; Chapter 2 has the basics of matrix algebra; Chapter 3 develops different ways to solve a system of equations; Chapter 4 has applications, and Chapter 5 has vector-space theory associated with matrices and related topics such as pseudoinverses …
Numeric Transmission/Cultural Transition, Paul B. Pekarek
Numeric Transmission/Cultural Transition, Paul B. Pekarek
Honors Theses, 1963-2015
This thesis is a study of the computational methods and common use of mathematics during the Middle Ages. It also discusses the cultural transition that was associated with the numeric transition from the Roman numeral system to the Hindu-Arabic numeral system and the numeric systems' corresponding calculation methods in Christian Europe during the late Middle Ages and early Renaissance. I claim that the transition from Roman numerals to Hindu-Arabic numerals was a result of cultural influences. Furthermore, I show that the transition was steady and found its basis in preexisting forms of calculation. I also look at the influences that …
The Genus 22 Crossing Number Of K9, Adrian Riskin
The Genus 22 Crossing Number Of K9, Adrian Riskin
Mathematics
Our main result is that a 1971 conjecture due to Paul Kainen is false. Kainen's conjecture implies that the genus 2 crossing number of K 9 is 3. We disprove the conjecture by showing that the actual value is 4. The method used is a new one in the study of crossing numbers, involving proof of the impossibility of certain genus 2 embeddings of Ks.
Computations For A Vibrating System Diagonalize The Variance, J. N. Boyd, P. N. Raychowdhury
Computations For A Vibrating System Diagonalize The Variance, J. N. Boyd, P. N. Raychowdhury
Mathematics and Applied Mathematics Publications
The transformations to diagonalize potential energy matrices for coupled harmonic oscillators will also diagonalize the variance when written in matrix form. After a brief review of a geometrical interpretation of the variance, the transformations are described and an example is given.
Conjugacy Classes Of Triple Products In Finite Groups, Kevin Hutson, Emily Salvo
Conjugacy Classes Of Triple Products In Finite Groups, Kevin Hutson, Emily Salvo
Mathematical Sciences Technical Reports (MSTR)
For an underlying finite group G, we establish estimates on the number of triples that bind a certain set to one conjugacy class, or else breaks it into two conjugacy classes.
Point-Valued Mappings Of Sets, Matt Insall
Point-Valued Mappings Of Sets, Matt Insall
Mathematics and Statistics Faculty Research & Creative Works
Let X be a metric space and let CB(X) denote the closed bounded subsets of X with the Hausdorff metric. Given a complete subspace Y of CB(X), two fixed point theorems, analogues of results in [1], are proved, and examples are given to suggest their applicability in practice.
Brain State In A Convex Body, S. Hui, Martin Bohner
Brain State In A Convex Body, S. Hui, Martin Bohner
Mathematics and Statistics Faculty Research & Creative Works
We study a generalization of the brain-state-in-a-box (BSB) model for a class of nonlinear discrete dynamical systems where we allow the states of the system to lie in an arbitrary convex body. The states of the classical BSB model are restricted to lie in a hypercube. Characterizations of equilibrium points of the system are given using the support function of a convex body. Also, sufficient conditions for a point to be a stable equilibrium point are investigated. Finally, we study the system in polytopes. The results in this special case are more precise and have simpler forms than the corresponding …
Asymptotic Analysis Of The Linearized Navier-Stokes Equations In A Channel, Roger Temam, Xiaoming Wang
Asymptotic Analysis Of The Linearized Navier-Stokes Equations In A Channel, Roger Temam, Xiaoming Wang
Mathematics and Statistics Faculty Research & Creative Works
In this article we study and derive explicit formulas for the boundary layers occurring in the linearized channel flows in the limit of small viscosity. Our study is based on classical boundary layer techniques combined with a new global treatment of the pressure term. © 1995, Khayyam Publishing.
Disseminatorik. Zur Dekonstruktion Der Techno-Logik, Rudolf Kaehr
Disseminatorik. Zur Dekonstruktion Der Techno-Logik, Rudolf Kaehr
Rudolf Kaehr
POLYKONTEXTURALE LOGIK. Zur Konzeption, Formalisierung und Validierung. PROÖMIK UND DISSEMINATORIK Abbreviaturen transklassischen Denkens. DISKONTEXTURALITATEN: WOZU NEUE FORMEN DES DENKENS? Zur Kritik der logischen Voraussetzungen der Second Order Cybernetics und der Systemtheorie DISSEMINATORIK: ZUR LOGIK DER 'SECOND ORDER CYBERNETICS' Von den 'Laws of Form' zur Logik der Reflexionsform VOM 'SELBST' IN DER SELBSTORGANISATION Reflexionen zu den Problemen der Konzeptionalisierung und Formalisierung selbstbezüglicher Strukturbildungen SUFI´S DRAI: WOZU DISKONTEXTURALITATEN IN DER AI ? KALKÜLE FÜR SELBSTREFERENTIALITAT ODER SELBSTREFERENTIELLE KALKÜLE? SKIZZE EINER GRAPHEMATISCHEN SYSTEMTHEORIE Zur Problematik der Heterarchie verteilter Systeme im Kontext der New „second-order“ Cybernetics EINÜBUNG IN EINE ANDERE LEKTÜRE. Diagramm einer Rekonstruktion …
Quintuples With Square Triplets, Stan Wagon
Articles Pre-1996, Daniel Kaplan
Historical Development Of The Newton-Raphson Method, Tjalling Ypma
Historical Development Of The Newton-Raphson Method, Tjalling Ypma
Mathematics Faculty Publications
This expository paper traces the development of the Newton-Raphson method for solving nonlinear algebraic equations through the extant notes, letters, and publications of Isaac Newton, Joseph Raphson, and Thomas Simpson. It is shown how Newton's formulation differed from the iterative process of Raphson, and that Simpson was the first to give a general formulation, in terms of fluxional calculus, applicable to nonpolynomial equations. Simpson's extension of the method to systems of equations is exhibited.
A Sturm Separation Theorem For A Linear 2nth Order Self-Adjoint Differential Equation, Charles T. Fulton, Wu Limin, Steven Pruess
A Sturm Separation Theorem For A Linear 2nth Order Self-Adjoint Differential Equation, Charles T. Fulton, Wu Limin, Steven Pruess
Mathematics and System Engineering Faculty Publications
For the 2nth order equation, (−1)nv(2n)+qv=0, with q continuous, we obtain a Sturm Separation theorem, involving n+1 solutions of the equation, which is somewhat analogous to the classical result that the zeros of two linearly independent solutions of the second order equation separate each other.
Partial Least-Squares: Theoretical Issues And Engineering Applications In Signal Processing, Fredric M. Ham, Ivica Kostanic
Partial Least-Squares: Theoretical Issues And Engineering Applications In Signal Processing, Fredric M. Ham, Ivica Kostanic
Mathematics and System Engineering Faculty Publications
In this paper we present partial least-squares (PLS), which is a statistical modeling method used extensively in analytical chemistry for quantitatively analyzing spectroscopic data. Comparisons are made between classical least-squares (CLS) and PLS to show how PLS can be used in certain engineering signal processing applications. Moreover, it is shown that in certain situations when there exists a linear relationship between the independent and dependent variables, PLS can yield better predictive performance than CLS when it is not desirable to use all of the empirical data to develop a calibration model used for prediction. Specifically, because PLS is a factor …