Physical Sciences and Mathematics Commons^™

Lagrange's Theory Of Analytical Functions And His Ideal Of Purity Of Method, Giovanni Ferraro, Marco Panza

MPP Published Research

We reconstruct essential features of Lagrange’s theory of analytical functions by exhibiting its structure and basic assumptions, as well as its main shortcomings. We explain Lagrange’s notions of function and algebraic quantity, and we concentrate on power-series expansions, on the algorithm for derivative functions, and the remainder theorem—especially on the role this theorem has in solving geometric and mechanical problems. We thus aim to provide a better understanding of Enlightenment mathematics and to show that the foundations of mathematics did not, for Lagrange, concern the solidity of its ultimate bases, but rather purity of method—the generality and internal organization of …

A Perceptual Metric For Photo Retouching, Eric Kee, Hany Farid

Dartmouth Scholarship

In recent years, advertisers and magazine editors have been widely criticized for taking digital photo retouching to an extreme. Impossibly thin, tall, and wrinkle- and blemish-free models are routinely splashed onto billboards, advertisements, and magazine covers. The ubiquity of these unrealistic and highly idealized images has been linked to eating disorders and body image dissatisfaction in men, women, and children. In response, several countries have considered legislating the labeling of retouched photos. We describe a quantitative and perceptually meaningful metric of photo retouching. Photographs are rated on the degree to which they have been digitally altered by explicitly modeling and …

Green Worlds And Ecosemiotics, Paul Siewers

Faculty Conference Papers and Presentations

"Overlay landscapes" in Early Insular literatures, and how they connect early medieval cosmology with current-day ecosemiotics..

Climate Change And The Conservation Of Archaeological Sites: A Review Of Impacts Theory, Caithleen Daly

Articles

This article identifies the current state of knowledge in the literature regarding the possible impacts of future climatic change on archaeological sites and ensembles. Drawing on the literature review a matrix of potential impacts is collated to provide a simplified overview. This theoretical ‘menu’ is then tested by applying it to a vulnerability assessment of the World Heritage site of Skellig Michael in Ireland. The case study results reveal some knowledge gaps, particularly in regard to the impacts of climate change on buried archaeological remains.

2011 Scholars And Artists Bibliography, Michael Schwartz Library, Cleveland State University, Friends Of The Michael Schwartz Library, Mark Tebeau

Scholars and Artists Bibliographies

This bibliography was created for the annual Friends of the Michael Schwartz Library Scholars and Artists Reception, recognizing scholarly and creative achievements of Cleveland State University faculty, staff and emeriti. Mark Tebeau was the guest speaker

Review Of Grass: In Search Of Human Habitat. By Joe C. Truett. Foreword By Harry W. Greene., Mary Ann Vinton

Great Plains Research: A Journal of Natural and Social Sciences

Much of the book is devoted to discussing the heavy human dependence on grasslands and whether this relationship can be maintained in company with grassland conservation. Can humans continue to use grasslands for food, fiber, and newer uses like biofuels and carbon banking while still sustaining the ecosystem? Many of us in academic ecology struggle with resolving perceived conflicts between conservation and human grassland use. In many cases, a "win-win" scenario exists in which, for example, the proper use of livestock grazing is perfectly compatible with a healthy grassland ecosystem. In other cases, such as conserving prairie dog populations, tensions …

Portraits Of The Land: Environmentalism And Contemporary Art In Mongolia, Sarah Morgan

Independent Study Project (ISP) Collection

Environmental concerns are globally relevant, but in Mongolia they hold special importance. Not only does Mongolia contain an unusual amount of pristine wilderness, but Mongolian history and culture are also deeply rooted in a close bond with the land. Now, increased development and globalization are placing new pressures on environmental systems. In response to these pressures, Mongolians artists are joining a national (and global) conversation about the interactions between art, environment, cultural heritage, and activism.

This study explores the sources of inspiration and motivation for these artists. Through this research, I hope to bring to light the role of the …

Future Participation In The Conservation Reserve Program In North Dakota, Lorilie M. Atkinson, Rebecca J. Romsdahl, Michael J. Hill

Great Plains Research: A Journal of Natural and Social Sciences

The purpose of this study was to gauge the impact of agriculture and energy policies on conservation practices through a survey of conservation reserve program (CRP) contract holders in a selected Prairie Pothole Region of North Dakota-Burleigh, Kidder, and Stutsman Counties. The survey results showed that 48% of respondents are considering returning CRP acres to annual crop production once the contract expires. The largest influence on post-CRP land use was the market prices for production of annual crops. Respondents also identified lack of knowledge of conservation programs as a large hurdle to participation. This may indicate a need for improved …

Review Of A Field Guide To The Amphibians And Reptiles Of Nebraska. By Daniel D. Fogell., Joseph T. Collins

Great Plains Research: A Journal of Natural and Social Sciences

A good field guide to any wildlife group includes an identification key, quality photographs, distribution maps, and a natural history summary. The recently published Field Guide to the Amphibians and Reptiles of Nebraska does not fail the reader in this regard, having all of these features and more. Dan Fogell effectively presents all 62 species of amphibians, turtles, and reptiles native to Nebraska as well as four additional species of possible occurrence within the state, and all in a useful and compact guide that can be toted easily on a hike or any other field expedition.

This long-overdue updated field …

The Global Geek: Language Training For It Students’ Study Abroad In Austria And Germany, Gwyneth E. Cliver, Deepak Khazanchi

Information Systems and Quantitative Analysis Faculty Publications

The Modern Language Association’s (MLA) urgent appeal for the restructuring of the undergraduate language curriculum, “Foreign Languages and Higher Education: New Structures for a Changed World,” emphasizes a need for language departments to enrich their upper-division course offerings beyond the traditional literary studies model in order to attract and retain broader interest in language learning among students with diverse academic interests and needs. Citing the National Science Foundation’s 2003 Survey of College Graduates, it stresses that only 6.1% of undergraduates whose primary major is a foreign language later achieve doctorate degrees and concludes that departments should provide upper-division language courses …

Great Plains Research, Volume 21, Number 2, Fall 2011 (Complete Issue)

Great Plains Research: A Journal of Natural and Social Sciences

NATURAL SCIENCES

New Records of Carrion Beetles in Nebraska Reveal Increased Presence of the American Burying Beetle, Nicrophorus americanus Olivier (Coleoptera: Silphidae) • Jessica Jurzenski, Daniel G. Snethen, Mathew L. Brust, and W. Wyatt Hoback . . 131

Surveillance of Selected Diseases in Free-Ranging Elk (Cervus elaphus nelsoni) in Nebraska, 1995-2009 • Michael A. Cover, Scott E. Hygnstrom, Scott R. Groepper, David W. Oates, Kit M. Hams, and Kurt C. VerCauteren . . 145

Historical Biogeography of Nebraska Pronghorns (Antifocapra americana) • Justin D. Hoffman, Hugh H. Genoways, and Rachel R. Jones . 153

Native and European Haplotypes of Phragmites …

Effects Of Herbicides And Grazing On Floristic Quality Of Native Tallgrass Pastures In Eastern South Dakota And Southwestern Minnesota, Alexander J. Smart, Matthew J. Nelson, Peter J. Bauman, Gary E. Larson

Great Plains Research: A Journal of Natural and Social Sciences

Historic herbicide use and grazing have influenced natural diversity and quality of native pasturelands in the Great Plains. Floristic quality assessments are useful to assist agencies in prioritizing conservation practices to enhance native grasslands. The objective of this study was to determine the effects of past land-use practices on the floristic quality of remnant native pastures in eastern South Dakota and southwestern Minnesota. Floristic quality assessments were conducted on 30 native pastures and categorized by past management practices (herbicide application and grazing intensity). Mean coefficient of conservatism (C) and floristic quality index (FQI) were calculated for each site~Results showed that …

Ecoregional Differences In Late-20th-Century Land-Use And Land-Cover Change In The U.S. Northern Great Plains, Roger F. Auch, Kristi Sayler, Darrell E. Napton, Janis L. Taylor, Mark S. Brooks

Great Plains Research: A Journal of Natural and Social Sciences

Land-cover and land-use change usually results from a combination of anthropogenic drivers and biophysical conditions found across multiple scales, ranging from parcel to regional levels. A group of four Level III ecoregions located in the u.s. northern Great Plains is used to demonstrate the similarities and differences in land change during nearly a 30-year period (1973-2000) using results from the U.S. Geological Survey's Land Cover Trends project. There were changes to major suites of land-cover; the transitions between agriculture and grassland/shrubland and the transitions among wetland, water, agriculture, and grassland/shrubland were affected by different factors. Anthropogenic drivers affected the land-use …

Schrödinger And Nietzsche On Life: The Eternal Recurrence Of The Same, Babette Babich

Working Papers

Schrödinger and Nietzsche on Life: The Eternal Recurrence of the Same

This essay explores Schrödinger’s reflections on measurement, consciousness, and personal identity. Schrödinger’s, What Is Life? is read together with Nietzsche’s own reflections on the same question, in his aphorism What is Life? together with Nietzsche’s teaching of the eternal return of the selfsame. Schrödinger’s own thinking is influenced as is Nietzsche’s by Schopenhauer but Schrödinger also has the Vedic tradition as this influenced Schopenhauer himself in view.

Ray Wilson, Ray Wilson, Daniel Maurer 2012

All oral histories

Ray Wilson taught courses in the Physics Department from 1962-1997. He continues to teach during May Term through the present (as of 2012).

Star Messangers, Paul Zimet, Ellen Maddow

Kahn Institute Projects

Star Messengers is a musical theater work about two scientists, Galileo Galilei and Johannes Kepler, who changed our view of the universe. Writer Paul Zimet and composer Ellen Maddow have created a carnival of genres—opera, Com- media dell’Arte, Strindbergian Dream Play, and contemporary dance/theater—to produce a theatrical language that conveys the wonder of Galileo’s and Kepler’s discoveries.

While some aspects of Galileo’s life and discoveries are well known, hardly anything is popularly known of his scientific contemporaries. Johannes Kepler’s realization that the planets moved not in perfect circles, but in elliptical paths, was a leap of mind as extraordinary as …

Review: Robert H. Nelson, The New Holy Wars: Economic Religion Vs. Environmental Religion In Contemporary America, Andre Wakefield

Pitzer Faculty Publications and Research

This is a book review of Robert H. Nelson's The New Holy Wars: Economic Religion vs. Environmental Religion in Contemporary America. Nelson argues that environmentalism and economics represent competing religious worldviews. Within this framework, debates over issues like global warming and acid rain become veiled theological disputes between these two “secular religions.” Nelson paints with a broad, aggressive brush. This is both the strength and weakness of his book, as he conjures a world of epic battles between the economic faithful, who worship material progress, and the environmentally pious, who bemoan the corruption visited by humans upon the natural world. …

The Ecosemiosphere: Story And Region In Insular Medieval Literatures, Paul Siewers

Faculty Conference Papers and Presentations

Reflections on the interrelation of environmental humanities studies, physics and semiotics, as part of an international panel introducing ecosemiotics and biosemiotics to the North American ecocriticism communtiy at large.

The Search For Hamilton, Eric Gossett

ACMS Conference Proceedings 2011

In July and August of 2009 my wife and I went on a four-week trip to Scotland and Ireland. We would be visiting Dublin, so I decided that we should visit the famous bridge where William Rowan Hamilton carved the equations for the quaternions. The task was not as simple as I had assumed. This paper gives some details of the search.

Thinking Philosophically About Mathematics, Robert L. Brabenec

ACMS Conference Proceedings 2011

In my early years as a teacher of mathematics, the history of mathematics was seldom mentioned in the classroom. It was viewed as an unworthy topic that would detract from the presentation of mathematics itself. This opinion has dramatically changed over the years, and the history of mathematics is now embraced and used by many mathematicians in their teaching and even research. We might choose to ask a related question. How much philosophy is necessary or helpful for a mathematics teacher to know, and to use in his or her teaching? We see a growing interest in the philosophy of …

Bringing Undergraduate Research Into The Classroom, Stephen Lovett

ACMS Conference Proceedings 2011

Mathematics graduate programs and companies that employ math majors often want to ascertain an applicant’s potential for research. However, in many undergraduate courses, assessments consist only of regular exercise sets, quizzes, and in-class tests. Without doing a senior research thesis or landing an official REUs, students do not regularly gain experience in or an appreciation for research. Courses in the humanities regularly require students to write in the discipline, progressively preparing them methodologically for “writing in the field.” This begs the question: could math departments do a little more to prepare our students to use mathematics beyond college?

In this …

Calculus Communication Circle, Judith Palagallo

ACMS Conference Proceedings 2011

Calculus Communication Circle is a network for the professional development of Advanced Placement Calculus teachers. In Northeast Ohio the Circle provides a forum where teachers meet to share ideas about mathematics and the teaching of calculus. This article describes the creation of the Circle and the progress it has made over its three year existence.

The Need For A Graphics Programming Course, Nathan Gossett

ACMS Conference Proceedings 2011

A discussion of the benefits of offering a course on programming Computer Graphics in an undergraduate Computer Science curriculum. A sample course outline is provided, as well as a discussion of ways to conduct lectures, labs and a list of suggested assignments. A discussion of “dos and don’t s will also be presented, including a list of required prerequisite courses and skills that students would need in order for the course to be a success.

Lesson’S Learned: A Journey In Computational Science, Ryan Botts, Lori Carter

ACMS Conference Proceedings 2011

Inspired by work on building a computational science program and student questions about modeling, we aim to discuss some of our experiences with computational science. We will first clarify what computational science is, why it is a legitimate science, why it is worth our students’ time and what makes it a challenging field. We will also discuss how computer scientists, mathematicians and laboratory scientists each have something different to contribute to the field.

Google And The Mathematics Of Web Search, Michael Rempe

ACMS Conference Proceedings 2011

This article examines the algorithms used by Google to rank search engine results, called PageRank.

Real Simulations And Simulated Reality, Wayne Iba

ACMS Conference Proceedings 2011

Movies such as The Matrix have stimulated popular interest in “brain in a vat” scenarios. Amidst the traditional questions of the mind, we tend to overlook an integral enabling component—the world simulation—which merits consideration in its own right. When facing the simulations in these imagined scenarios, we struggle with conceptual muddles regarding what is real and not. In this paper, I argue that simulated worlds are every bit as real as the one we inhabit. This turns out to be important when considering the possibility, as suggested by Nick Bostrom, that the world we experience as “real” is actually a …

History Of Mathematics: An Exercise In Strengths, Mary Walkins

ACMS Conference Proceedings 2011

As a leader in strengths-based education, Lee University encourages each new student, since fall of 2003, to take the Gallup StrengthsFinder to determine their top 5 signature themes (out of a possible 34). At Lee, the syllabus for the History of Mathematics course calls for students to write a paper on a mathematician. In the fall of 2009, as an added dimension, students were asked to critically think about and incorporate the strengths they believe that mathematician may have. Each student was required to compare and contrast his or her strengths with those of the mathematician. This was done with …

Pascal’S Thoughts Seen In The Light Of Scripture, Loredana Ciurariu

ACMS Conference Proceedings 2011

In this paper we study Pascal’s character via his writings. There are indications that his health might have deteriorated following the experiments he had done using mercury. He talks in his Pensées about faith, grace and purity of the heart, about the peoples and the way in which God leads them, about wisdom, dreams and hopes and that which lies in the human heart. If a statistics was done concerning the most used books and verses from the Bible in Pensées, these would be: Ecclesiastes, Proverbs, Matthew, Mark, Jeremiah, Hebrews, Romans, Luke, Isaiah, Psalms. But those which occupy a central …

The History Of The Area Between A Line And A Parabola, Gordon A. Swain

ACMS Conference Proceedings 2011

This is a review of various methods used by many mathematicians to determine the area of the segment bounded by a parabola and a line. We include descriptions of proofs from the Greek period (Archimedes), the Arabic period (ibn Qurra and ibn Sinan), and the 1600's in European (Galileo, Roberval, Fermat and Wallis, among others), in order to display the changing nature of mathematics.

Pk Mathematics, Jeremy Case

ACMS Conference Proceedings 2011

An examination of the historical development of mathematics and how mathematical history has changed by looking at mathematicians who were also PKs (Preacher’s Kids).