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Maximum Elements Of Ordered Sets And Anselm's Ontological Argument, Doug Ward 2019 Miami University

Maximum Elements Of Ordered Sets And Anselm's Ontological Argument, Doug Ward

ACMS Conference Proceedings 2019

I will present a simple theorem concerning maximal elements of a set T endowed with an ordering “>” that is antisymmetric, i.e., if A and B are elements of T , we cannot have both A > B and B > A. A special case of this theorem is a simple version of the ontological argument, one of the classical proofs for the existence of God.


Numerical Range Of Toeplitz Matrices Over Finite Fields, Derek Thompson, Maddison Guillaume Baker, Amish Mishra 2019 Taylor University

Numerical Range Of Toeplitz Matrices Over Finite Fields, Derek Thompson, Maddison Guillaume Baker, Amish Mishra

ACMS Conference Proceedings 2019

We characterize the kth numerical range of all n×n Toeplitz matrices with a constant main diagonal and another single, non-zero diagonal, where the matrices are over the field Zp[i], with p a prime congruent to 3 mod 4. We find that, for k ∈ Z∗, the kth numerical range is always equal to Zp[i] with the exception of the scaled identity. We also use similar techniques to discover a general connection between the 0th numerical range and the kth numerical range. Lastly, we conclude with a conjecture regarding the general numerical range of all triangular Toeplitz matrices.


Is Mathematical Truth Time Dependent? Comments From A Paper By Judith Grabiner, Richard Stout 2019 Gordon College

Is Mathematical Truth Time Dependent? Comments From A Paper By Judith Grabiner, Richard Stout

ACMS Conference Proceedings 2019

Judith Grabiner, a renowned historian of mathematics, has written many papers related to signifi- cant changes in the content and nature of analysis, from the 17th through the 19th century. In her paper “Is Mathematical Truth Time Dependent?” Professor Grabiner gives several reasons for the changing nature and requirements in rigor that occurred over this period of two hundred years. In this talk I will briefly summarize her conclusions, particularly in light of how they might influence a Christian perspective on mathematics.


Models, Values, And Disasters, Michael H. Veatch 2019 Gordon College

Models, Values, And Disasters, Michael H. Veatch

ACMS Conference Proceedings 2019

Decision-support models have values embedded in them and are subjective to varying degrees. Philosophical and ethical perspectives on operations research models are used to describe this subjectivity. Approaches to model building are then suggested that take into account subjectivity and values. For the decisions to reflect the right values, the model must align with the decision-maker’s values. I argue that it is appropriate and important for Christians applying mathematical models to be keenly aware of decision-maker’s values and seek to reflect them in the model. Disaster response planning is presented as an example where incorporating values is challenging. The responding …


Factors That Motivate Students To Learn Mathematics, Dave Klanderman, Sarah Klanderman, Benjamin Gliesmann, Josh Wilkerson, Patrick Eggleton 2019 Calvin University

Factors That Motivate Students To Learn Mathematics, Dave Klanderman, Sarah Klanderman, Benjamin Gliesmann, Josh Wilkerson, Patrick Eggleton

ACMS Conference Proceedings 2019

What motivates some students to want to learn mathematics while others do not share similar motivation? Are these factors intrinsic, extrinsic, or a combination of both? To answer these questions, we adapted a survey originally developed by Tapia (1996) and later shortened by Lim and Chapman (2015). We administered the survey in multiple middle schools, a high school, and multiple colleges and universities. We obtained over 100 completed surveys for each of these educational levels. This presentation offers an analysis of these data, including descriptive statistics and confidence intervals for each educational level. For the college and university sample, we …


Thinking Beautifully About Mathematics: A View Of Mathematics As The Science Of Measurable Orders, James M. Turner 2019 Calvin University

Thinking Beautifully About Mathematics: A View Of Mathematics As The Science Of Measurable Orders, James M. Turner

ACMS Conference Proceedings 2019

At Calvin College, First Year Students are required to take a section of our Discovering the Christian Mind course during our January term. For the past 3 years, I have taught a section of this course titled Thinking Beautiful ly about Mathematics. In it, I explored, with the students, various areas of mathematics, as well as how mathematicians have explored them, while addressing such questions as “Is mathematics invented or discovered?” and “Why is mathematics unreasonably effective?” Ultimately, we look to identify ways and characterizations for how beauty displays itself in mathematics and how and it what ways beauty is …


Marin Mersenne: Minim Monk And Messenger; Monotheism, Mathematics, And Music, Karl-Dieter Crisman 2019 Gordon College

Marin Mersenne: Minim Monk And Messenger; Monotheism, Mathematics, And Music, Karl-Dieter Crisman

ACMS Conference Proceedings 2019

If you have taught a number theory course or even watched the mathematical news, you know that occasionally a new (and enormous) “Mersenne prime” is discovered. Those who have introduced students to the prehistory of calculus may know of a certain Marin Mersenne as the interlocutor who drew Fermat and Descartes (and others) out to discuss their methods of tangents (and more). But who was Mersenne, and what did he actually do? This presentation will give an overview of his times, his role in the history of science, and his own writings. We’ll especially look into why a monk from …


Analyzing The Impact Of Active Learning In General Education Mathematics Courses, Amanda Harsy, Marie Meyer, Michael Smith, Brittany Stephenson 2019 Lewis University

Analyzing The Impact Of Active Learning In General Education Mathematics Courses, Amanda Harsy, Marie Meyer, Michael Smith, Brittany Stephenson

ACMS Conference Proceedings 2019

This talk shares the preliminary results of a study that explores the general perceptions and attitudes of students in general education mathematics courses taught using primarily active learning- based methods (like group work, projects, and discovery learning), and compares them with those enrolled in a general education mathematics course taught in a more traditional and lecture-based method. We present an analysis of survey data collected throughout the semester, which explores the disposition and mindset of students, their mathematical confidence and anxiety, and perceptions of pedagogical methods used for the teaching of mathematics. We also explored how these perceptions and dispositions …


Computer Science: Creating In A Fallen World, Russell Tuck 2019 Gordon College

Computer Science: Creating In A Fallen World, Russell Tuck

ACMS Conference Proceedings 2019

When God created people in his image, he gave us the gift of sub-creation. One of the great joys of Computer Science is exercising that gift to create tools : software and computer systems that serve people and solve problems. Like all God’s gifts, he charges us to exercise the gift of sub-creation wisely and for good. While there are many obvious implications and challenges, being good stewardship of users’ time and reducing discrimination are particularly relevant and perhaps less obvious examples. Although computer scientists exercise the gift of sub-creation, we do so as fallen people in a fallen world. …


A Unifying Project For A Tex/Cas Course, Andrew Simoson 2019 King University

A Unifying Project For A Tex/Cas Course, Andrew Simoson

ACMS Conference Proceedings 2019

We describe a CAS and TEX usage course for mathematics majors. As a unifying project, each student selects two primes p and q with pq < 100, explores mathematical pq ideas, and generates associated graphs, figures, tables for a final TEX paper. We summarize several pq explorations: stu- dents render page pq from Schwartz’s picture book about primes, You Can Count on Monsters, via Mathematica and TEX’s picture environment; students generate fractal images of pq; and students discover the primes of the ring Z r√pql.


Introduction (2019), Association of Christians in the Mathematical Sciences 2019 Taylor University

Introduction (2019), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2019

No abstract provided.


Paper Abstracts (2019), Association of Christians in the Mathematical Sciences 2019 Taylor University

Paper Abstracts (2019), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2019

No abstract provided.


Table Of Contents (2019), Association of Christians in the Mathematical Sciences 2019 Taylor University

Table Of Contents (2019), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2019

No abstract provided.


Association Of Christians In The Mathematical Sciences Proceedings 2019, Association of Christians in the Mathematical Sciences 2019 Taylor University

Association Of Christians In The Mathematical Sciences Proceedings 2019, Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2019

The conference proceedings of the Association of Christians in the Mathematical Sciences biannual conference, May 29-June 1, 2019 at Indiana Wesleyan University.


Schedule (2019), Association of Christians in the Mathematical Sciences 2019 Taylor University

Schedule (2019), Association Of Christians In The Mathematical Sciences

ACMS Conference Proceedings 2019

No abstract provided.


“I Almost Hope I Get Hit Again Soon”: The Wartime Service And Medical History Of Leon C. Standifer, Wwii American Infantryman, Alexis M. Laguna 2019 University of New Orleans

“I Almost Hope I Get Hit Again Soon”: The Wartime Service And Medical History Of Leon C. Standifer, Wwii American Infantryman, Alexis M. Laguna

LSU New Orleans Theses and Dissertations

The American GI’s experience in hospital during World War II is absent from official military histories, most scholarly works, and even many oral history collections. Utilizing the papers of WWII infantryman, Leon Standifer, this thesis offers the reader a rare glimpse of WWII military hospital life and chronicles one soldier’s journey from willing obedience to subversive action.

This thesis compares the stated goals and procedures of the US Army medical department to the experience of Leon Standifer, an infantryman who served in northern France during the last year of the war and the American occupation of Bavaria, whose service was …


Ada News - 05/20/2019, American Dental Association, Publishing Division 2019 American Dental Association

Ada News - 05/20/2019, American Dental Association, Publishing Division

ADA News

Established in 1970 as the official newspaper of the American Dental Association, the ADA News serves practicing dentists and others allied to the dental profession in the U.S. and internationally. It is the No. 1 source of news and information about the many benefits and services the ADA delivers to members daily as well as timely information on scientific, social, political and economic developments affecting dentistry and health care.


Vile Blood: Hereditary Degeneracy In Victorian England, Dalton Lee Brock 2019 Arkansas Tech University

Vile Blood: Hereditary Degeneracy In Victorian England, Dalton Lee Brock

Theses and Dissertations from 2019

During the late 1800s, the people of England grew anxious about hereditary degeneracy. That anxiety was rooted in the medical literature of the Victorian period. Nature predetermined individuals to be either healthy or unhealthy. Unhealthy individuals were marked by degenerative mental or physical characteristics such as epilepsy. Medical professionals, including Henry Maudsley, emphasized reversion and its hereditary nature as a threat to individuals and society. All based their works and arguments on Charles Darwin’s idea of inheritance. Darwin, in turn, had adopted and modified Lamarckian inheritance to make up for the absence of an inheritance principle in his theory of …


Ada News - 05/06/2019, American Dental Association, Publishing Division 2019 American Dental Association

Ada News - 05/06/2019, American Dental Association, Publishing Division

ADA News

Established in 1970 as the official newspaper of the American Dental Association, the ADA News serves practicing dentists and others allied to the dental profession in the U.S. and internationally. It is the No. 1 source of news and information about the many benefits and services the ADA delivers to members daily as well as timely information on scientific, social, political and economic developments affecting dentistry and health care.


The United States' Relationship With The Insanity Defense Before And After United States V. Hinckley, Natalie R. Peterman 2019 Lakeridge High School

The United States' Relationship With The Insanity Defense Before And After United States V. Hinckley, Natalie R. Peterman

Young Historians Conference

The United States legal system has had a fluctuating relationship with the insanity defense for decades, and the trial of United States v. Hinckley was a critical milestone for this development. Before John Hinckley, Jr. attempted to assassinate President Ronald Reagan in 1981 and the jury of his trial found him not guilty, American society generally supported the insanity defense, but both the public and the government were outraged after Hinckley’s verdict. This outrage and the subsequent political backlash against the insanity defense were motivated by progress in the area of mental illness treatment in the United States. In the …


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