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2012

Mathematics

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Articles 1 - 30 of 57

Full-Text Articles in Physical Sciences and Mathematics

A Hybrid Approach To The Core Curriculum, I. Piper, P. Castle, A. Fuller, G. Awyzio Dec 2012

A Hybrid Approach To The Core Curriculum, I. Piper, P. Castle, A. Fuller, G. Awyzio

Dr Ian Piper

In this paper we review the IEEE/ACM CC2001 model. We then describe our proposed core CS curriculum comprising four strands: programming languages, algorithms, discrete mathematics and systems. These sequences are to be taught over the first two years of the Bachelor of Computer Science Degree and need to be taken in parallel.

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Barriers To Using Ict In Mathematics Teaching: Issues In Methodology, Rebecca Hudson, Anne L. Porter, Mark I. Nelson Dec 2012

Barriers To Using Ict In Mathematics Teaching: Issues In Methodology, Rebecca Hudson, Anne L. Porter, Mark I. Nelson

Associate Professor Mark Nelson

In this paper we examine the barriers to using ICT of secondary mathematics teachers in the classroom. The sample contained 114 mathematics teachers from public secondary schools in New South Wales (Australia). The instrument used in this study was a survey questionnaire mailed to secondary schools in the New South Wales Department of Education and Training. The questionnaire design is a closed-response with five open-ended questions. Results of the study showed that lack of access to computer labs is the number one barrier to using ICT in the classroom. But when a second analysis using a logistic regression analysis modeling …

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On The Atomic Decomposition Of H^1 And Interpolation, Robert Sharpley Dec 2012

On The Atomic Decomposition Of H^1 And Interpolation, Robert Sharpley

Robert Sharpley

© 1986 by American Mathematical Society

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Barriers To Using Ict In Mathematics Teaching: Issues In Methodology, Rebecca Hudson, Anne L. Porter, Mark I. Nelson Nov 2012

Barriers To Using Ict In Mathematics Teaching: Issues In Methodology, Rebecca Hudson, Anne L. Porter, Mark I. Nelson

Associate Professor Anne Porter

In this paper we examine the barriers to using ICT of secondary mathematics teachers in the classroom. The sample contained 114 mathematics teachers from public secondary schools in New South Wales (Australia). The instrument used in this study was a survey questionnaire mailed to secondary schools in the New South Wales Department of Education and Training. The questionnaire design is a closed-response with five open-ended questions. Results of the study showed that lack of access to computer labs is the number one barrier to using ICT in the classroom. But when a second analysis using a logistic regression analysis modeling …

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Can The Love Of Learning Be Taught?, R. Nillsen Nov 2012

Can The Love Of Learning Be Taught?, R. Nillsen

Professor Rodney Nillsen

This paper is an expanded version of a talk given at a Generic Skills Workshop at the University of Wollongong, and was originally intended for academic staff from any discipline and general staff with an interest in teaching. The issues considered in the paper include the capacity of all to learn, the distinction between learning as understanding and learning as information, the interaction between the communication and the content of ideas, the tension between perception and content in communication between persons, and the human functions of a love of learning. In teaching, the creation of a fear-free environment is emphasised, …

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Enhancing Effective Depth-Of-Field By Multi-Focus Image Fusion Using Morphological Techniques., Ishita De Ghosh Dr. Nov 2012

Enhancing Effective Depth-Of-Field By Multi-Focus Image Fusion Using Morphological Techniques., Ishita De Ghosh Dr.

Doctoral Theses

A scene to be photographed, usually includes objects at varying distances from the camera. Depth-of-field of a digital camera is the range of distance, all objects within which appear to be sharp in the image. Due to the low depth-of-field of the camera, images acquired by them often suffer from degradation called out-of-foc us blur. One way to enhance the effective depth-of-field is to acquire se veral images of a scene with focus on different parts of it and then combine these images into a single image in such a way that all regions of the scene are in focus. …

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Operator Monotone Functions And Löwner Functions Of Several Variables, Jim Agler, John E. Mccarthy, N J. Young Nov 2012

Operator Monotone Functions And Löwner Functions Of Several Variables, Jim Agler, John E. Mccarthy, N J. Young

Mathematics Faculty Publications

We prove generalizations of Loewner's results on matrix monotone functions to several variables. We give a characterization of when a function of d variables is locally monotone on d-tuples of commuting self-adjoint n-by-n matrices. We prove a generalization to several variables of Nevanlinna's theorem describing analytic functions that map the upper half-plane to itself and satisfy a growth condition. We use this to characterize all rational functions of two variables that are operator monotone.

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How Often Are Two Permutations Comparable?, Adam J. Hammett, Boris Pittel Oct 2012

How Often Are Two Permutations Comparable?, Adam J. Hammett, Boris Pittel

Science and Mathematics Faculty Presentations

No abstract provided.

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Integer Compositions, Gray Code, And The Fibonacci Sequence, Linus Lindroos Oct 2012

Integer Compositions, Gray Code, And The Fibonacci Sequence, Linus Lindroos

Electronic Theses and Dissertations

In this thesis I show the relation of binary and Gray Code to integer compositions and the Fibonacci sequence through the use of analytic combinatorics, Zeckendorf's Theorem, and generating functions.

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Integrated Mathematics Proof Of Pythagorean Theorem, Dean A. Cantalupo Esq. Sep 2012

Integrated Mathematics Proof Of Pythagorean Theorem, Dean A. Cantalupo Esq.

Dean A Cantalupo Esq.

Integrated Mathematics Proof of the Pythagorean Theorem

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Global Domination Stable Graphs, Elizabeth Marie Harris Aug 2012

Global Domination Stable Graphs, Elizabeth Marie Harris

Electronic Theses and Dissertations

A set of vertices S in a graph G is a global dominating set (GDS) of G if S is a dominating set for both G and its complement G. The minimum cardinality of a global dominating set of G is the global domination number of G. We explore the effects of graph modifications on the global domination number. In particular, we explore edge removal, edge addition, and vertex removal.

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Joanne Growney's Poetry-With-Mathematics Blog -- An Appreciation, Gregory E. Coxson Jul 2012

Joanne Growney's Poetry-With-Mathematics Blog -- An Appreciation, Gregory E. Coxson

Journal of Humanistic Mathematics

Now is a good time to work on the boundaries of practice and theory, of art and science. We are seeing a rising tide of interest in these boundaries. Witness the growing Bridges movement, which has been exploring the connections between mathematics and the arts. Similarly, JoAnne Growney's blog, Intersections -- Poetry with Mathematics, explores the connections between mathematics and poetry. Through this review, I aim to give readers a taste of what can be found in Intersections as a way of encouraging others, be they mathematicians, poets, or neither, to visit the blog.

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Clark, William B., B. 1797? (Sc 632), Manuscripts & Folklife Archives Jun 2012

Clark, William B., B. 1797? (Sc 632), Manuscripts & Folklife Archives

MSS Finding Aids

Finding aid and one scanned page (Click on "additional files" below) for Manuscripts Small Collection 632. Ciphering book kept by William B. Clark of Christian County, Kentucky, 25 August 1813 to 22 August 1814, and intermittently by others to 1819. Other entries include business accounts of Clark, a blacksmith, and family genealogy. The book was bound
with sheets from the Western Eagle, a newspaper printed in Hopkinsville, Kentucky, and dated 12 February 1813. It was removed and added to the Special Collections Library. A loose item found in the book, 1834-1846, contains accounts of Clark.

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Cearnal, Elijah (Sc 588), Manuscripts & Folklife Archives Jun 2012

Cearnal, Elijah (Sc 588), Manuscripts & Folklife Archives

MSS Finding Aids

Finding aid and scan (Click on "additional files" below) for Manuscripts Small Collection 588. A ciphering book kept by Elijah Cearnal as a student. The name "Patrick Carnall" is also written in the book.

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Perry, Minerva W. (Martin), 1820-1906 (Sc 592), Manuscripts & Folklife Archives Jun 2012

Perry, Minerva W. (Martin), 1820-1906 (Sc 592), Manuscripts & Folklife Archives

MSS Finding Aids

Finding aid and scan (Click on "additional files" below) for Manuscripts Small Collection 592. Ciphering book kept by Minerva W. (Martin) Perry of Clarksville, Johnson County, Arkansas, with the only date noted being that of 28 June 1830. Other names are written in the book, and
birth and death dates of members of a Martin family are listed.

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Wilkerson, Brice W. (Sc 586), Manuscripts & Folklife Archives Jun 2012

Wilkerson, Brice W. (Sc 586), Manuscripts & Folklife Archives

MSS Finding Aids

Finding aid and scan (Click on "additional files" below) for Manuscripts Small Collection 586. A ciphering book kept by Brice W. Wilkerson, of either Simpson County of Logan County, Kentucky, as a student. The name “Stanley Wilkerson” is also noted in the book.

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Sutherland, Daniel, 1797-1835 (Sc 589), Manuscripts & Folklife Archives Jun 2012

Sutherland, Daniel, 1797-1835 (Sc 589), Manuscripts & Folklife Archives

MSS Finding Aids

Finding aid and scan (Click on "additional files" below) for Manuscripts Small Collection 589. Ciphering book of Daniel Sutherland, probably of Casey County, Kentucky, dated 31 March 1825 to 2 December 1825. It was also used for the period from 16 July 1828 to 9 October 1828, and indications are that this record was the work of Uriah S. Sutherland.

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Motley, Matthew, 1786-1845 (Sc 591), Manuscripts & Folklife Archives Jun 2012

Motley, Matthew, 1786-1845 (Sc 591), Manuscripts & Folklife Archives

MSS Finding Aids

Finding aid and scan (Click on "additional files" below) for Manuscripts Small Collection 591. Ciphering book, 1800-1801, kept by Matthew Motley of Allen County, Kentucky. Business accounts,1807-1811, of John Motley, father of Matthew, and business accounts, 1805-1823, of Matthew, who was a cabinetmaker, are documented in the back of the book; other notations record the hiring out of enslaved persons, medicinal remedies, and a poetic reaction to the New Madrid earthquake, 1811.

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Hamilton, William D. (Sc 590), Manuscripts & Folklife Archives Jun 2012

Hamilton, William D. (Sc 590), Manuscripts & Folklife Archives

MSS Finding Aids

Finding aid and scan (Click on "additional files" below) for Manuscripts Small Collection 590. Ciphering book, writer unknown, possibly kept during the 1830s. W.D. Hamilton’s name with notes dated in the 1870s appears on several pages of the book and his address is listed as Hamilton, Ohio County, Kentucky.

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Halcomb, Warren G. (Sc 587), Manuscripts & Folklife Archives Jun 2012

Halcomb, Warren G. (Sc 587), Manuscripts & Folklife Archives

MSS Finding Aids

Finding aid and scan (Click on "additional files" below) for Manuscripts Small Collection 587. Ciphering book of Warren G. Halcomb’s of Caswell County, North Carolina, which he kept from 11 September 1809 to 15 July 1815. Other entries in the book include a few family names and dates, personal business notes, and a recipe for the cure of rheumatism. Loose items, 1840-1854, found in the book concern the slave trade, 1840 and 1849.

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Smith, Alexander (Sc 596), Manuscripts & Folklife Archives Jun 2012

Smith, Alexander (Sc 596), Manuscripts & Folklife Archives

MSS Finding Aids

Finding aid and scan (Click on "additional files" below) for Manuscripts Small Collection 596. Ciphering book, 1799, made by Alexander Smith, who was a school master in Prince George County, Virginia. Henry Oiler? states that it is his ciphering book, so perhaps he was a student of
Smith’s. A few business accounts of Oiler’s are recorded.

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Σary, Minnesota State University Moorhead, Mathematics Department Jun 2012

Σary, Minnesota State University Moorhead, Mathematics Department

Math Department Newsletters

No abstract provided.

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The Calculus Of Variations, Erin Whitney Jun 2012

The Calculus Of Variations, Erin Whitney

Honors Theses

The Calculus of Variations is a highly applicable and advancing field. My thesis has only scraped the top of the applications and theoretical work that is possible within this branch of mathematics. To summarize, we began by exploring a general problem common to this field, finding the geodesic be-tween two given points. We then went on to define and explore terms and concepts needed to further delve into the subject matter. In Chapter 2, we examined a special set of smooth functions, inspired by the Calabi extremal metric, and used some general theory of convex functions in order to de-termine …

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An Agent Based Model Of Tumor Growth And Response To Radiotherapy, Nicole O'Neil May 2012

An Agent Based Model Of Tumor Growth And Response To Radiotherapy, Nicole O'Neil

Theses and Dissertations

An agent based model was developed to examine the growth of a tumor in a healthy cell population. Response to radiation and impact of mutation and bystander effects were studied. In the growth model, the cancer cells proliferated outward becoming invasive. The mass of cancer cells developed a necrotic core. Various treatment protocols of radiation were compared. Timing of treatments was critical to the success of therapy. The event of mutation was rare. When mutation occurred, either unsuccessful treatment or re-growth could result. Multiple rounds of radiation potentially led to increased mutation. Low levels of the bystander effect had little …

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An Investigation Of Melodic Musical Modeling Using Homogeneous And Non-Homogeneous Markov Chains, Eric Robert Sherman Buenger May 2012

An Investigation Of Melodic Musical Modeling Using Homogeneous And Non-Homogeneous Markov Chains, Eric Robert Sherman Buenger

Undergraduate Honors Thesis Collection

As an actuarial science student, my observations have a different focus than the other composers. In the industry, actuaries aren't interested in a probability model for its own sake. Rather, they "want to use the model to analyze the ... impact of the events being modeled" [Da]. This analysis focuses equally on the generation of the model as well as the results of the model. While other researchers have investigated many topics in the field of musical generation through mathematical means, no one has yet explored non-homogeneous and homogeneous models simultaneously. This study compares melodic material generated from both homogeneous …

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A Comparison Of Van Hiele Levels And Final Exam Grades Of Students At The University Of Southern Mississippi, Cononiah Watson May 2012

A Comparison Of Van Hiele Levels And Final Exam Grades Of Students At The University Of Southern Mississippi, Cononiah Watson

Honors Theses

This research analyzed students final exam scores in a college mathematics class with geometric components and their van Hiele levels upon entering the class. After the class was completed, each student’s final exam grade was calculated. The researcher used a Spearman correlation to compare the two; the result was a correlation coefficient of 0.742. The researcher then reported that the results of the van Hiele test are a major component in predicting a student’s success in such a class.

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Scientific Notebook At Pace University: Technology For 21st Century Mathematics And Science, Brian Evans, Demos Athanasopoulos May 2012

Scientific Notebook At Pace University: Technology For 21st Century Mathematics And Science, Brian Evans, Demos Athanasopoulos

Cornerstone 3 Reports : Interdisciplinary Informatics

No abstract provided.

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A Study Of Women Working In The Actuarial Field, Jillian Emberg May 2012

A Study Of Women Working In The Actuarial Field, Jillian Emberg

Honors Projects in Mathematics

The goal of this project is to examine how women fit into the actuarial career path and how cultural expectations, biological factors, and personal aspirations affect their experiences in the field. Dramatic changes in the profession have occurred since its emergence in the nineteenth century to become more welcoming to women who choose to enter the profession. However, despite the equalizing demographic shifts of the field, it is still a male-dominated profession. This paper attempts to analyze why some of the changes in the demographics of the field have occurred as well as explain what factors contribute to women’s underrepresentation …

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Orderly Ε-Homotopies Of Discrete Chains, Alexander Thomas Happ May 2012

Orderly Ε-Homotopies Of Discrete Chains, Alexander Thomas Happ

Chancellor’s Honors Program Projects

No abstract provided.

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Essays On Regular Variations In Classical And Free Setup: Randomaly Weighted Sums, Products In Cevm And Free Subexponentiality., Rajat Subhra Hazra Dr. Apr 2012

Essays On Regular Variations In Classical And Free Setup: Randomaly Weighted Sums, Products In Cevm And Free Subexponentiality., Rajat Subhra Hazra Dr.

Doctoral Theses

In this thesis, we shall be focusing on some problems in probability theory involving regularly varying functions. The theory of regular variations has played an important role in probability theory, harmonic analysis, number theory, complex analysis and many more areas of mathematics. For an encyclopedic treatment of the subject, we refer to Bingham et al. (1987). In probability theory, the limiting behavior of the sums of independent and identically distributed (i.i.d.) random variables is closely related to regular variation. The books by Feller (1971) and Gnedenko and Kolmogorov (1968) give characterizations of random variables in the domains of attraction of …

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