Physical Sciences and Mathematics Commons^™

"Who Wrote The Epistle, God Only Knows": A Statistical Authorial Analysis Of Hebrews In Comparison With Pauline And Lukan Literature, Benjamin J. Erickson

Senior Honors Theses

The authorship of Hebrews has been a point of contention for scholars for the past two millennia. While the epistle is traditionally attributed to Paul, many scholars assert that it carries thematic, structural, and stylistic differences from the remainder of his extant epistles; therefore, many other possible authors have been proposed. Of these, only Luke has other New Testament writings. Therefore, this project conducts a statistical comparison of Hebrews to the Pauline and Lukan corpora using stylometric authorial analysis methods. This analysis demonstrates that Hebrews is stylistically closer to Lukan literature than Pauline (but not to a significant degree), and …

Tribute To Gene Chase, Calvin Jongsma

Faculty Work Comprehensive List

Gene’s academic work was always one of service to God, his students, and his colleagues, and his intellectual passion was to promote the development of Christian perspectives on various aspects of the field. His contributions to the ACMS have been much appreciated and, God willing, may still bear fruit into the future.

Incorporating Perspectival Elements In A Discrete Mathematics Course, Calvin Jongsma

Faculty Work Comprehensive List

Discrete mathematics is a vast field that can be explored along many different paths. Opening with a unit on logic and proof and then taking up some additional core topics (induction, set theory, combinatorics, relations, Boolean algebra, graph theory) allows one to bring in a wealth of relevant material on history, philosophy, axiomatics, and abstraction in very natural ways. This talk looks at how my 2019 textbook on discrete mathematics, focused in this way, came to be, and it highlights the various perspectival elements the book includes.

El Final Report: Undergraduate Summer Research Internships, Sophie Wu

SASAH 4th Year Capstone and Other Projects: Publications

In her final report, Sophie Wu discusses her two Undergraduate Summer Research Internships at Western University: the first in the Statistics and Actuarial Science department, concerning microinsurance, and the second, in the Mathematics department, concerning computational neuroscience.

The History Of The Enigma Machine, Jenna Siobhan Parkinson

History Publications

The history of the Enigma machine begins with the invention of the rotor-based cipher machine in 1915. Various models for rotor-based cipher machines were developed somewhat simultaneously in different parts of the world. However, the first documented rotor machine was developed by Dutch naval officers in 1915. Nonetheless, the Enigma machine was officially invented following the end of World War I by Arthur Scherbius in 1918 (Faint, 2016).

Wittgenstein On Miscalculation And The Foundations Of Mathematics, Samuel J. Wheeler

Philosophy Faculty Publications

In Remarks on the Foundations of Mathematics, Wittgenstein notes that he has 'not yet made the role of miscalculating clear' and that 'the role of the proposition: "I must have miscalculated"...is really the key to an understanding of the "foundations" of mathematics.' In this paper, I hope to get clear on how this is the case. First, I will explain Wittgenstein's understanding of a 'foundation' for mathematics. Then, by showing how the proposition 'I must have miscalculated' differentiates mathematics from the physical sciences, we will see how this proposition is the key to understanding the foundations of mathematics.

Perceiving Mathematics And Art, Edmund Harriss

Mic Lectures

Mathematics and art provide powerful lenses to perceive and understand the world, part of an ancient tradition whether it starts in the South Pacific with tapa cloth and wave maps for navigation or in Iceland with knitting patterns and sunstones. Edmund Harriss, an artist and assistant clinical professor of mathematics in the Fulbright College of Arts and Sciences, explores these connections in his Honors College Mic lecture.

An Evolutionary Approach To Crowdsourcing Mathematics Education, Spencer Ward

Honors College

By combining ideas from evolutionary biology, epistemology, and philosophy of mind, this thesis attempts to derive a new kind of crowdsourcing that could better leverage people’s collective creativity. Following a theory of knowledge presented by David Deutsch, it is argued that knowledge develops through evolutionary competition that organically emerges from a creative dialogue of trial and error. It is also argued that this model of knowledge satisfies the properties of Douglas Hofstadter’s strange loops, implying that self-reflection is a core feature of knowledge evolution. This mix of theories then is used to analyze several existing strategies of crowdsourcing and knowledge …

College Of Liberal Arts And Sciences_Mt 101 & Wgs 101_Covid-19 Response, Kevin Roberge

College of Liberal Arts and Sciences

Email from Kevin Roberge, Adjunct Mathematics Faculty, University of Maine to the Provost Office regarding how he had incorporated the COVID-19 pandemic into his courses MAT 101 and WGS 101.

Mat 116 Introduction To Calculus - Course Material, Ayesha Maliwal Bundy

Teaching, Learning & Research Documents

Updated addendum to MAT 116 (Introduction to Calculus) syllabus, updated course timeline (both before and after the storms since many students lost power) and a contingency plan for their course team.

Mat 127 (Calculus Ii) - Course Syllabus, David Bradley

Teaching, Learning & Research Documents

Updated syllabus of MAT 127 (Calculus II) class. The update reflects the change in course format necessitated by the mandated transition to off-campus online instruction.

Mat 426 Real Analysis Ii - Course Syllabus, David Bradley

Teaching, Learning & Research Documents

Updated syllabus of MAT 426 (Introduction to Real Analysis II) class. The update reflects the change in course format necessitated by the mandated transition to off-campus online instruction.

Predicting Stag And Hare Hunting Behaviors Using Hidden Markov Model, Rex Bringula, Ma. Mercedes T. Rodrigo

Department of Information Systems & Computer Science Faculty Publications

In this paper, we used Hidden Markov Model (HMM) to describe the gaming behaviors of students and whether they will exhibit “stag” or “hare” hunting behavior in a mobile game for mathematics learning. We found that there is a 99% probability that the students will stay either as stag or hare hunters. Our results also suggest that they would choose arithmetic problems involving addition. These game behaviors are not beneficial to learning because they are only exhibiting mathematical skills they already know. The results of the study show that stag and hare hunters have unique traits that separate the one …

Interview Of Stephen Andrilli, Ph.D., Stephen Francis Andrilli Ph.D., Jane Highley

All Oral Histories

Stephen Francis Andrilli was born in August 1952 in Bryn Mawr, PA. He was born to Francis and Leatrice Andrilli. Dr. Andrilli is the oldest of four children; his three sisters are Carol (now Carol Strosser), Patricia (now Patricia Kempczynski), and Barbara (now Barbara Parkes). Aside from a few years of living in Gettysburg, Dr. Andrilli has lived in the Philadelphia area for most of his life. He attended St. Jerome School, where he finished 8th grade. He then attended LaSalle College High School, where he graduated in 1969 at age 16. He entered La Salle University (formerly La Salle …

Tangled Up: Women’S Experiences In Mathematics, Lori Loftin

Honors College

This thesis is a bridge between two disciplines: Women's, Gender, and Sexuality Studies, and Mathematics. The first portion of the work synthesizes both theory and previously done studies to describe the state of women in mathematics as a whole, as well as historicizing the role of women in mathematics. Obstacles to the full and equal participation of women in mathematics are examined through a feminist lens. The second part of the thesis is a feminist biography crafted from an interview with a professor of mathematics, Dr. Erica Flapan. This provides information about her personal experiences as a woman in mathematics …

Application Of Inverse Problems In Imaging, Xiaoyue Luo

Post-Grant Reports

In this project, we studied how to enhance image quality by denoising and deblurring a given image mathematically. We compared some existing state-of-the-art methods for image denoising and deblurring. We implemented the algorithms numerically using Matlab.

We studied the possibility of combining statistical analysis with the traditional image restoration methods including using wavelets and framelets and we derived some encouraging preliminary results.

My research student Alleta Maier gave a sequence of talks on the project including the Pacific Northwest Mathematical Association of America conference at Oregon State University in April, 2016; Linfield College Taylor Series in March, 2016, and Linfield …

Book Review: How To Bake Pi: An Edible Exploration Of The Mathematics Of Mathematics, Darren B. Glass

Math Faculty Publications

If you think about it, mathematics is really just one big analogy. For one example, the very concept of the number three is an drawing an analogy between a pile with three rocks, a collection of three books, and a plate with three carrots on it. For another, the idea of a group is drawing an analogy between adding real numbers, multiplying matrices, and many other mathematical structures. So much of what we do as mathematicians involves abstracting concrete things, and what is abstraction other than a big analogy? [excerpt]

On Pi Day, A Serving Of Why We Need Math, Darren B. Glass

Math Faculty Publications

Today, our Facebook feeds will be peppered with references to Pi Day, a day of celebration that has long been acknowledged by math fans and that Congress recognized in 2009. Every high schooler learns that pi is the ratio of the circumference of a circle to its diameter and that its decimal expansion begins 3.14 and goes on infinitely without repeating. [excerpt]

A Mathematician's Villanelle, Gizem Karaali

Pomona Faculty Publications and Research

No abstract provided.

How Mathematics Influences Our Perception Of Beauty, Leslie Muzulu

Antonian Scholars Honors Program

Beauty is an important part of our lives. Consequently, it is no surprise that we are interested in our experiences and judgments of it. What makes something beautiful? The arts and nature are considered vessels of beauty, but could mathematics be as well? Can it influence our perception of what is beautiful? This paper offers insights into how mathematics influences our perception of what is beautiful. The philosophies of aesthetics and mathematics are briefly discussed, followed by a consideration of how the presence of such mathematical structures as proportion, symmetry and perspective can significantly influence our perception of beauty in …

Duncan, Benjamin, 1772-1809 (Sc 678), Manuscripts & Folklife Archives

MSS Finding Aids

Finding aid only for Manuscripts Small Collection 678. Cipher book kept by Benjamin Duncan, of Culpeper County, Virginia and Fayette County, Kentucky. Includes samples of legal forms and letters.

Brown, James Monroe, 1800-1886 (Sc 806), Manuscripts & Folklife Archives

MSS Finding Aids

Finding aid only for Manuscripts Small Collection 806. Ciphering book, 1822-1827 (40 p.), of James M. Brown, Butler County, Kentucky, which also contains a few pages of account entries and other various notations, (806a). Photocopy of ciphering book is also included. Also letter, 1989, from donor relating family data.

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.

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.

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.

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.

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.

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.

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.

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.