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Articles 1  30 of 2285
FullText Articles in Physical Sciences and Mathematics
Analysis Of A Mathematical Model Of RealTime Competitive Binding On A Microarray, Frank H. Lynch
Analysis Of A Mathematical Model Of RealTime Competitive Binding On A Microarray, Frank H. Lynch
CODEE Journal
A mathematical model of competitive binding on a microarray in realtime yields a planar system of nonlinear ordinary differential equations. This model can be used to explore dimensionless formulation, linear approximation, and reduction. Realtime competitive binding is proposed as an uncommon approach to advance the study of planar systems of differential equations.
Human Impact On Planetary Temperature And Glacial Volume: Extending A Toy Climate Model To A New Millennium, Samantha Secor, Jennifer Switkes
Human Impact On Planetary Temperature And Glacial Volume: Extending A Toy Climate Model To A New Millennium, Samantha Secor, Jennifer Switkes
CODEE Journal
Starting with a toy climate model from the literature, we employ a system of two nonlinear differential equations to model the reciprocal effects of the average temperature and the percentage of glacial volume on Earth. In the literature, this model is used to demonstrate the potential for a stable periodic orbit over a long time span in the form of an attracting limit cycle. In the roughly twenty five years since this model appeared in the literature, the effects of global warming and humanimpacted climate change have become much more well known and apparent. We demonstrate modification of initial conditions ...
Special Issue Call For Papers: Mathematics And Society, Carrie Diaz Eaton, Rachel Roca, Nancy Rodriguez, Tian An Wong
Special Issue Call For Papers: Mathematics And Society, Carrie Diaz Eaton, Rachel Roca, Nancy Rodriguez, Tian An Wong
Journal of Humanistic Mathematics
The Journal of Humanistic Mathematics (http://scholarship.claremont.edu/jhm/) is pleased to announce a call for papers for a special issue on Mathematics and Society. Please send your initial proposal submissions via email to the guest editors by August 15, 2022. Initial submission of complete manuscripts is due December 15, 2022. The issue is currently scheduled to appear in July 2023.
Journal For Mathematics And The Arts Call For Papers: Special Issue On The Mathematics Of Fiber Arts, Carolyn Yackel, SarahMarie Belcastro
Journal For Mathematics And The Arts Call For Papers: Special Issue On The Mathematics Of Fiber Arts, Carolyn Yackel, SarahMarie Belcastro
Journal of Humanistic Mathematics
The Journal for Mathematics and the Arts (https://www.tandfonline.com/journals/tmaa20) a peerreviewed journal that focuses on connections between mathematics and the arts, is pleased to announce a call for papers for a special issue on Mathematics of Fiber Arts. Please send your queries via email to the guest editors. Initial submission of complete manuscripts is due August 1, 2022. The issue is currently scheduled to appear in Fall 2023.
A NonEuclidean Story Or: How To Persist When Your Geometry Doesn’T, Rami Luisto
A NonEuclidean Story Or: How To Persist When Your Geometry Doesn’T, Rami Luisto
Journal of Humanistic Mathematics
Too little mathematics has been written in prose. Thus we prove here, via a fantasy novellette, that a locally Lbilipschitz mapping f : X → Y between uniformly Ahlfors qregular, complete and locally compact pathmetric spaces X and Y is an Lbilipschitz map when Y is simply connected. The motivation for such a result arises from studying the asymptotic values of BLDmappings with an empty branch set.
As far as the author is aware, the result is new, even though it would not be hard for specialists in the field to prove. The proof is essentially a modest extension of the ideas ...
So Long My Friend, Bryan Mcnair
So Long My Friend, Bryan Mcnair
Journal of Humanistic Mathematics
No abstract provided.
Heuristic Or Stochastic?, E Laura Golberg
Heuristic Or Stochastic?, E Laura Golberg
Journal of Humanistic Mathematics
This is a poem about laying odds on the outcome of weddings.
The Solipsist’S First Paper, Sabrina Sixta
The Solipsist’S First Paper, Sabrina Sixta
Journal of Humanistic Mathematics
The angst of a graduate student who has not yet written a paper, but really wants to.
What's So Great About NonOrientable Manifolds?, Michael Mccormick
What's So Great About NonOrientable Manifolds?, Michael Mccormick
Journal of Humanistic Mathematics
No abstract provided.
Wrong Way, Joseph Chaney
Poetry In The Glade: Bridges 2021 Fib Collection
Poetry In The Glade: Bridges 2021 Fib Collection
Journal of Humanistic Mathematics
A Fibonacci poem follows the Fibonacci sequence to any length in its count of syllables per line, or words per line, or lines per stanza, or any other countable thing connected with the poem. A Fib is a special case of Fibonacci poem, a poem of 6 lines whose syllable line count follows the first 6 numbers of the Fibonacci sequence: 1; 1; 2; 3; 5; 8. The present collection of Fibs arose out of the Bridges poetry community in response to the Bridges organization’s efforts to make the Bridges 2021 conference more interactive.
An Urgent Plea For More Graduate Programs In Statistics Education, David Eli Drew, Sam Behseta, Cherie L. Ichinose
An Urgent Plea For More Graduate Programs In Statistics Education, David Eli Drew, Sam Behseta, Cherie L. Ichinose
Journal of Humanistic Mathematics
Lately, much has been written about the importance of amplifying statisticsrelated content in the K12 curricula. This can be viewed in parallel or as an addendum to the existing mathematics curricula in the United States. Nevertheless, a key component of this debate is the lack of robust and cuttingedge academic programs in statistics education. In this piece, we emphasize the urgent need for investing in creating strong statistics education programs, which would significantly contribute to nurturing quantitative literacy as well as preparing a more informed citizenry in the 21^{st} century.
Mathematics For The Masses: DoorToDoor Missionaries Of Math And TwelveStep Recovery Programs, Daniel S. Helman
Mathematics For The Masses: DoorToDoor Missionaries Of Math And TwelveStep Recovery Programs, Daniel S. Helman
Journal of Humanistic Mathematics
Conversion of strangers, or proselytizing, is a feature of a range of groups for religious, organizational and other aims. In twelvestep recovery programs, such as Alcoholics Anonymous, belief in a higher power is a requirement for working the steps to recovery. People are encouraged to find a higher power of their own understanding. This paper presents a model for using mathematics as a higher power, and shows how recovery works with mathematics in that role instead of a more traditional higher power such as God. A contemplative definition of math is given along with a description of a threecategoried epistemology ...
A Reflection On Growth Mindset And Meritocracy, Rachel L. Petrik, Julianne Vega, Andrés R. VindasMeléndez
A Reflection On Growth Mindset And Meritocracy, Rachel L. Petrik, Julianne Vega, Andrés R. VindasMeléndez
Journal of Humanistic Mathematics
As mathematicians working in higher education we reflect on meritocracy and growth mindset with a focus on the relationship between the two. We also note the subtle differences between growth mindset and grit. Our reflection ends with suggestions for how to move forward in the math classroom and throughout the collegiate level.
Life Of A Working Ramsey Theorist: Conversation With Thomas C. Brown, Kyle Singh, Veselin Jungic, Jun Bo Mei
Life Of A Working Ramsey Theorist: Conversation With Thomas C. Brown, Kyle Singh, Veselin Jungic, Jun Bo Mei
Journal of Humanistic Mathematics
This interview, conducted in November 2020, explores the fascinating life and work of Ramsey theorist Thomas Craig Brown. We hope, through our conversation with Dr. Brown, to show that mathematics is not a discipline that is only concerned with numbers, but that it is, in a fundamental way, also about people and connections.
Decisions, Decisions: How Should The Votes Be Counted?, Michael J. Caulfield
Decisions, Decisions: How Should The Votes Be Counted?, Michael J. Caulfield
Journal of Humanistic Mathematics
It is a simple matter for the members of a group to decide among two options. When there are three or more options among which to choose, the situation is much more complicated. This is precisely what faces the electorate each time there are more than two candidates running for a single office. And while there is debate over which voting method should be used, there is wide agreement over the method that should not be used: plurality, the most common approach taken in the United States. This article presents a simple classroom activity which provides students the opportunity to ...
A Cognitive View Of "Pandemic Meditation" (A Mathematical Visual Poem), Kazmier Maslanka
A Cognitive View Of "Pandemic Meditation" (A Mathematical Visual Poem), Kazmier Maslanka
Journal of Humanistic Mathematics
Mathematical visual poetry is a poetic genre whereby metaphorical expressions are created using mathematical structures. Within the structure, the poetics are understood by the crossmapping of numerous conceptual domains including visual, lexical, and mathematical. Here I focus on one particular mathematical visual poetic structure: what I call a Similar Triangles Poem or Proportional Poem. To illustrate the ideas discussed, I present "Pandemic Meditations," a mathematical visual poem; in particular I discuss how this mathematical poem uses the mechanisms of poetic metaphor in the context of the embodied mind. The intent of this paper is not to explain "Pandemic Meditation," for ...
Twisting The Cube: ArtInspired Mathematical Explorations, Lingguo Bu
Twisting The Cube: ArtInspired Mathematical Explorations, Lingguo Bu
Journal of Humanistic Mathematics
A cube can be twisted in a playful manner for visual and algebraic insights. The twisting process and the resulting ruled surfaces can be demonstrated using 3D modeling tools (e.g., GeoGebra® and Autodesk Fusion 360®) or elastic cords on a 3Dprintable scaffold. The twisted cube is aesthetically appealing, posing interesting questions that are worthwhile at multiple levels. Algebraically, the volume of the twisted cube is shown to be twothirds of the reference cube. The twisted faces are parts of hyperbolic paraboloids, whose implicit and parametric equations can be established from diverse perspectives in support of further dynamic explorations and ...
Alice’S Adventures In Wonderland: Carroll’S Symbolic Attack On Mathematical Symbolism, Firdous Ahmad Mala
Alice’S Adventures In Wonderland: Carroll’S Symbolic Attack On Mathematical Symbolism, Firdous Ahmad Mala
Journal of Humanistic Mathematics
In 2009, a literature scholar, Melanie Bayley, proposed that Lewis Carroll's famous books about Alice visiting the magical and illogical Wonderland were attempts to mock and critique the modern mathematics of the day. In this short paper, I aim to support Bayley's thesis and expound upon Carroll's artful use of symbolism to attack excessive use of symbolism in mathematics.
Accidental World Teacher, Richard Delaware
Accidental World Teacher, Richard Delaware
Journal of Humanistic Mathematics
When the College Algebra and Calculus I video courses I created were posted on my university’s YouTube channel in 2009, I suddenly began to receive dozens of heartfelt emails from students around the world thanking me. Here I tell the story of the creation of those videos and sample the effect they seem to have had over the last decade, as I accidentally became a teacher available to the entire planet.
The Nature Of Numbers: Real Computing, Bradley J. Lucier
The Nature Of Numbers: Real Computing, Bradley J. Lucier
Journal of Humanistic Mathematics
While studying the computable real numbers as a professional mathematician, I came to see the computable reals, and not the real numbers as usually presented in undergraduate real analysis classes, as the natural culmination of my evolving understanding of numbers as a schoolchild. This paper attempts to trace and explain that evolution. The first part recounts the nature of numbers as they were presented to us gradeschool children. In particular, the introduction of square roots induced a step change in my understanding of numbers. Another incident gave me insight into the brilliance of Alan Turing in his paper introducing both ...
The Problem Of Words: Learning To Teach Mathematics When Numbers And Languages Mix, Gladys Krause
The Problem Of Words: Learning To Teach Mathematics When Numbers And Languages Mix, Gladys Krause
Journal of Humanistic Mathematics
In this piece I propose a perspective shift, from a simplified view of mathematics story problems to a more academically rigorous perspective that integrates mathematical proficiency and language practices crucial for educating bilingual students. The data presented in this article provide a window into what preparing bilingual preservice teachers to teach mathematics might involve. I discuss issues that arise in the context of preparing SpanishEnglish bilingual preservice teachers in a way that can inform their practice in linguistically and culturally diverse classrooms.
An Amends Letter From A Recovering Mean Professor, Feryal Alayont
An Amends Letter From A Recovering Mean Professor, Feryal Alayont
Journal of Humanistic Mathematics
The following is an amends letter written by a recovering professor enrolled in a twelvestep program for mean professors. The letter is directed to current and past students who have been hurt by the insensitive behavior of the professor in response to the students' mathematical anxiety and other emotional defenses in their learning. As common in twelvestep programs, the purpose of an amends letter is for the recovering person to clearly identify their hurtful actions and the effects on their victims, and to take responsibility for them. By sharing this letter openly, the professor, identified by their twelvestep program name ...
Lessons Learned From The Disorder Of Operations, Egan J. Chernoff
Lessons Learned From The Disorder Of Operations, Egan J. Chernoff
Journal of Humanistic Mathematics
The purpose of this article, in general, is to explore certain possible outcomes associated with an underaged gambler attempting to collect his rightful winnings. More specifically, this article is a thought experiment investigating the union of (1) skill testing questions, (2) the equation that recently broke/divided the internet, and (3) how different outcomes render different elements of the thought experiment moot. For example, when the final arbiter has total dominion over a particular outcome, the mathematics of a skill testing question is rendered moot. The article concludes with a discussion revealing how disorder of operations could be considered the ...
In Search Of Star Clusters: An Introduction To The KMeans Algorithm, Marcio Nascimento
In Search Of Star Clusters: An Introduction To The KMeans Algorithm, Marcio Nascimento
Journal of Humanistic Mathematics
This article is a gentle introduction to Kmeans, a mathematical technique of processing data for further classification. We begin with a brief historical introduction, where we find connections with Plato’s Timæus, von Linné’s binomial classification, and the star clustering concept of Mary Sommerville and collaborators. Artificial intelligence algorithms use Kmeans as a classification methodology to learn about data in a very accurate way, because it is a quantitative procedure based on similarities.
A Note On A MathematicianCyclist: Anna Kiesenhofer, Man Keung Siu
A Note On A MathematicianCyclist: Anna Kiesenhofer, Man Keung Siu
Journal of Humanistic Mathematics
This short note offers some reflections on the teaching and learning of mathematics inspired by the news about a feat accomplished by the Austrian mathematiciancyclist Anna Kiesenhofer in the Summer Olympic Games held in Tokyo in 2021.
Extremal Mathematicians, Carlos A. Alfaro
Extremal Mathematicians, Carlos A. Alfaro
Journal of Humanistic Mathematics
We report on the top ten mathematicians with the highest number of articles, citations, and students, based on data from MathSciNet and the Mathematics Genealogy Project.
Navigating A Calculus Course During A Pandemic: A Usma Perspective, Shane K. Smith, Tyson H. Walsh, Lee Evans
Navigating A Calculus Course During A Pandemic: A Usma Perspective, Shane K. Smith, Tyson H. Walsh, Lee Evans
Journal of Humanistic Mathematics
In this article we analyze publications written about different teaching modalities and evaluate how each applies to a calculus class during the ongoing COVID19 pandemic. We focus on the positives and negatives of teaching and learning in a virtual, classroom, or HyFlex environment. Although arguments could be made for each environment, especially given different institutional objectives, this work aims to explain why we eventually preferred teaching our Fall 2020 multivariable calculus course in a facetoface classroom setting at the United States Military Academy at West Point. We also offer measures of performance to compare the current COVID19 semester with previous ...
On The Mathematics Of Social Distancing, Robert Haas
On The Mathematics Of Social Distancing, Robert Haas
Journal of Humanistic Mathematics
Early in the COVID19 pandemic, when spring began to make itself felt, photos showed New Yorkers enjoying the outdoors, while properly socially distanced, by sitting on the grass in a square lattice of circles. But the planners should have consulted a mathematician for the design, because significantly more people (over 15% more) could enjoy the same area safely if the circles were closer packed into a hexagonal lattice.
Covid19, Vaccines, And Decision Theory, Michael A. Lewis
Covid19, Vaccines, And Decision Theory, Michael A. Lewis
Journal of Humanistic Mathematics
In this piece, I delve into some thoughts I've had about decision theory. These have been inspired by the vaccine rollout phase of the COVID19 Pandemic. I focus on decision making under uncertainty, as it relates to the decision to get vaccinated or not.