Transfinite Ordinal Arithmetic,
2017
Governors State University
Transfinite Ordinal Arithmetic, James Roger Clark
All Student Theses and Dissertations
Following the literature from the origin of Set Theory in the late 19th century to more current times, an arithmetic of finite and transfinite ordinal numbers is outlined. The concept of a set is outlined and directed to the understanding that an ordinal, a special kind of number, is a particular kind of well-ordered set. From this, the idea of counting ordinals is introduced. With the fundamental notion of counting addressed: then addition, multiplication, and exponentiation are defined and developed by established fundamentals of Set Theory. Many known theorems are based upon this foundation. Ultimately, as part of the conclusion, …
Comparison Of Two Methods In Estimating Standard Error Of Simulated Moments Estimators For Generalized Linear Mixed Models,
2017
University of New Mexico
Comparison Of Two Methods In Estimating Standard Error Of Simulated Moments Estimators For Generalized Linear Mixed Models, Danielle K. Duran
Mathematics & Statistics ETDs
We consider standard error of the method of simulated moment (MSM) estimator for generalized linear mixed models (GLMM). Parametric bootstrap (PB) has been used to estimate the covariance matrix, in which we use the estimates to generate the simulated moments. To avoid the bias introduced by estimating the parameters and to deal with the correlated observations, (Lu, 2012) proposed a multi-stage block nonparametric bootstrap to estimate the standard errors. In this research, we compare PB and nonparametric bootstrap methods (NPB) in estimating the standard errors of MSM estimators for GLMM. Simulation results show that when the group size is large, …
A Perspective On The Challenges And Issues In Developing Biomarkers For Human Allergic Risk Assessments,
2017
U.S. Food and Drug Administration
A Perspective On The Challenges And Issues In Developing Biomarkers For Human Allergic Risk Assessments, Ying Mu, Dianne E. Godar, Stephen Merrill
Mathematics, Statistics and Computer Science Faculty Research and Publications
No abstract provided.
Voices: Conference On Teaching Stem With Music, September 27-28, 2017,
2017
University of Washington Bothell
Voices: Conference On Teaching Stem With Music, September 27-28, 2017, Gregory J. Crowther
Journal of Humanistic Mathematics
This first-of-its-kind, online-only conference will explore the use of music to teach STEM (science, technology, engineering, and mathematics) at the college level (including AP courses). Presentations will be live-streamed from the conference website, https://www.causeweb.org/voices. Online registrations (for only $10 apiece!) will be accepted at the conference website until the conclusion of the conference on September 28, 2017.
Special Issue Call For Papers: Mathematics And Motherhood,
2017
Williams College
Special Issue Call For Papers: Mathematics And Motherhood, Pamela E. Harris, Becky Hall, Carrie Diaz Eaton, Emille Davie Lawrence
Journal of Humanistic Mathematics
The Journal of Humanistic Mathematics is pleased to announce a call for papers for a special issue on Mathematics and Motherhood. Please send your abstract submissions via email to the guest editors by October 1, 2017. Initial submission of complete manuscripts is due January 1, 2018. The issue is currently scheduled to appear in July 2018.
Math In Seventeen Syllables: An Open Call For Mathematical Haiku,
2017
Claremont McKenna College
Math In Seventeen Syllables: An Open Call For Mathematical Haiku, Mark Huber, Gizem Karaali
Journal of Humanistic Mathematics
The Journal of Humanistic Mathematics invites submissions of mathematical haiku for an upcoming poetry folder tentatively titled Math in Seventeen Syllables. Please send your submissions via email to the editors by November 1, 2017. Publication decisions will be made by December 15, 2017.
One = Zero,
2017
Pomona College
One = Zero, Eric John Gofen
Journal of Humanistic Mathematics
In this paper, I use Mathematics in addition to the three most pure sciences --- Physics, Chemistry, and Rap --- to prove that 1=0. The argument uses The Ideal Gas Law, Ohm's Law, the Definitions of Power and Velocity in addition to indefinite integrals, simple mathematical operations, and the 99 Problems Law. The intuition-crushing result can be applied to all branches of mathematics and sciences and will likely go down as one of the greatest discoveries of all time.
Descartes Comes Out Of The Closet,
2017
Vassar College
Descartes Comes Out Of The Closet, Nora E. Culik
Journal of Humanistic Mathematics
While “Descartes Comes Out of the Closet” is ostensibly about a young woman’s journey to Paris, the descriptive detail borrows language and images from Cartesian coordinate geometry, dualistic philosophy, neuroanatomy (the pineal), and projections of three dimensions onto planes. This mathematical universe is counterpointed in the natural language of the suppressed love story that locates the real in the human. Thus, at the heart of the story is the tension between competing notions of mathematics, i.e., as either an independent realm apart from history or as a culturally produced and historical set of practices. Of course, the central character proves …
Disciple,
2017
Pacific Lutheran University
Disciple, Jessica K. Sklar
Journal of Humanistic Mathematics
This is a love poem for mathematics.
Nostalgia For Quieter Times,
2017
Salem State University
Nostalgia For Quieter Times, Pedro Poitevin
Journal of Humanistic Mathematics
No abstract provided.
A Calculus,
2017
UW-Stout
A Calculus, Sandra Lindow
Journal of Humanistic Mathematics
A poem that compares calculus to life.
A Math Poem,
2017
Essex Street Academy
Book Review: Bridges 2013 Poetry Anthology And Bridges 2016 Poetry Anthology,
2017
University of Wisconsin-Madison
Book Review: Bridges 2013 Poetry Anthology And Bridges 2016 Poetry Anthology, Robin Chapman
Journal of Humanistic Mathematics
Two collections of mathematical poetry edited by poet and mathematician Sarah Glaz are enthusiastically recommended to readers for the quality of the poetry, the diverse voices speaking in many modes—praise, elegy, philosophical musings, story-telling, humor, playfulness—and the variety of ways in which mathematical references are incorporated or illustrated. The work comes from participants in the Bridges conferences connecting mathematics, the arts, and the sciences over the last seven years.
A Mathematician’S Journey From Mentee To Mentor: Reflections On The Edge Program,
2017
Shippensburg University
A Mathematician’S Journey From Mentee To Mentor: Reflections On The Edge Program, Sarah Bryant, Alejandra Alvarado
Journal of Humanistic Mathematics
The programs supporting diversity in mathematics are as important as ever. So why are they losing funding? And what hope do they have of thriving in the current political climate? In this collaborative interview, two past participants of EDGE (Enhancing Diversity in Graduate Education) explore these questions; Sarah probes and narrates as Alejandra thinks out loud about the ways that the program has shaped her life and how she hopes to see the program continue.
Uncovering Gems Of Mathematics,
2017
Claremont McKenna College
Uncovering Gems Of Mathematics, Asuman G. Aksoy, Ellis Cumberbatch
Journal of Humanistic Mathematics
Gateway to Exploring Mathematical Sciences (GEMS) is an outreach program offered by the six mathematics departments of the Claremont Colleges for eighth, ninth, and tenth graders. In this paper, we describe our program (in terms of format, participants, mathematical activities and topics involved) and share why we are so enthusiastic about it.
I Love You Fifty,
2017
Saskatoon Public Schools
I Love You Fifty, Nat Banting
Journal of Humanistic Mathematics
This article chronicles the merging of my roles of teacher and learner of mathematics with that of a relatively new pursuit: parenthood. Amidst my attempts to dutifully provide opportunities for my son to interact with various mathematical ideas and artifacts, it was an unanticipated moment of epiphany that allowed me to enter into his emerging world of mathematical significance and rediscover what first drew me to the teaching and learning of mathematics. My son’s innocent, yet potent, understanding of number provides an image of the power of mathematics to organize experience, structure significance, and communicate meaning.
Discrete And Continuous: A Fundamental Dichotomy In Mathematics,
2017
University of New South Wales
Discrete And Continuous: A Fundamental Dichotomy In Mathematics, James Franklin
Journal of Humanistic Mathematics
The distinction between the discrete and the continuous lies at the heart of mathematics. Discrete mathematics (arithmetic, algebra, combinatorics, graph theory, cryptography, logic) has a set of concepts, techniques, and application areas largely distinct from continuous mathematics (traditional geometry, calculus, most of functional analysis, differential equations, topology). The interaction between the two – for example in computer models of continuous systems such as fluid flow – is a central issue in the applicable mathematics of the last hundred years. This article explains the distinction and why it has proved to be one of the great organizing themes of mathematics.
Shakespeare, A Supernova, And A Little Green Man Walk Into A Mathematics Classroom,
2017
City University of New York
Shakespeare, A Supernova, And A Little Green Man Walk Into A Mathematics Classroom, Sheila Kirstin Miller
Journal of Humanistic Mathematics
Creativity amidst constraints is a hallmark of the STEM researcher. It is precisely what is required to see what has never been seen. It is also at the core of creative mathematics, more commonly called “research”. We in the 21st century tell ourselves that science and story are separate enterprises. One goal of this article is to tell parts of the human story—featuring Shakespeare, Tycho Brahe, visiting stars, Little Green Men, and modern astrophysics—that might erode belief in that duality and illustrate why dissolving the artificial barriers between talents within individuals is to the benefit of ourselves, our students, …
One + One > Two: The Effects Of Pair Quizzes On Student Attitudes And Perceptions,
2017
Wheaton College, Norton, MA
One + One > Two: The Effects Of Pair Quizzes On Student Attitudes And Perceptions, Harrison W. Straley, Lauren Dupee
Journal of Humanistic Mathematics
Pair Quizzes are cooperative pop quizzes, taken by a pair of students working together for the same grade. The first author, Chuck, had used pair quizzes in many of his courses through his tenure teaching and was interested in determining their perceived effect on student learning and attitude toward mathematics.To this end, we designed a questionnaire and distributed it to all students currently taking and who had taken two different mathematics courses within a span of four years. Responses from those who chose to complete the survey seem to indicate that the pair quizzes had a positive effect on students’ …
A Generalised Song,
2017
University of Aberdeen
A Generalised Song, Will Turner
Journal of Humanistic Mathematics
We consider parallels between words and music. We call a triple of structures, one verbal, one musical, and one mathematical, in which the mathematical structure is related to the verbal and musical structures, a generalised song. With the intention of exhibiting the potential of this form, we describe a generalised song called ‘Cube’.
