My Year Of Memory And Mathematics,
2021
University of Missouri - Kansas City
My Year Of Memory And Mathematics, Richard Delaware
Journal of Humanistic Mathematics
I relive one stream of my state of mind over the pandemic year of 2020.
Arithmetics, Interrupted,
2021
Université de Montréal
Arithmetics, Interrupted, Matilde Lalín
Journal of Humanistic Mathematics
I share some of my adventures in mathematical research and homeschooling in the time of COVID-19.
Making Art In Math Class During The Pandemic,
2021
Pacific Lutheran University
Making Art In Math Class During The Pandemic, Larson Fairbairn, Kameelah Jackson, Ksenija Simic-Muller
Journal of Humanistic Mathematics
For many of us, the pandemic has changed how we teach and how we support students. This manuscript highlights creativity as a way to support for student mathematical and emotional well-being. It describes the positive impact that creative assignments in a mathematics content course for preservice K-8 teachers had on students during the early days of the pandemic. The story is told by the instructor and two former students in the course.
Leonardo Da Vinci In Raphael's School Of Athens,
2021
UiT The Arctic University of Norway
Leonardo Da Vinci In Raphael's School Of Athens, Frode Sirnes Larsen
Journal of Humanistic Mathematics
At the center of the School of Athens, Raphael painted Plato with a face similar to that of Leonardo da Vinci. In this article I argue that the likeness was intentional, and that Raphael’s fresco contains a set of references to the book De Divina Proportione, to which Leonardo contributed with drawings of polyhedrons. De Divina Proportione was written by Leonardo’s friend and teacher of mathematics, Luca Pacioli, and contains arguments for raising the status of the art of painting, similar to the arguments found in Leonardo’s Paragone. Pacioli and Leonardo thought painting should be regarded as …
The Math Games Seminar: A Mathematical Learning Community,
2021
Benedictine University
The Math Games Seminar: A Mathematical Learning Community, Anthony Delegge, Ellen Ziliak
Journal of Humanistic Mathematics
Learning communities can be an effective means of engaging university students across disciplines. Games have always been a source of both enjoyment and interesting mathematics. Based on our own interest in games, and the deep, strategic discussions we found ourselves having with students when we played games with them, we decided to design a learning community around the mathematics of games. We hoped in particular that such a community could be a great pathway to introducing mathematical thinking to students not majoring in mathematics, and that they would gain a greater appreciation for our field. In this paper, we describe …
Markov Chains For Computer Music Generation,
2021
Pomona College
Markov Chains For Computer Music Generation, Ilana Shapiro, Mark Huber
Journal of Humanistic Mathematics
Random generation of music goes back at least to the 1700s with the introduction of Musical Dice Games. More recently, Markov chain models have been used as a way of extracting information from a piece of music and generating new music. We explain this approach and give Python code for using it to first draw out a model of the music and then create new music with that model.
An Interdisciplinary Rendezvous Between Mathematics And Literature: Reflections On Beauty As A Perspective In Comparative Disciplinary Didactics And A Thematic Approach To Interdisciplinary Work In Upper Secondary School, Uffe Thomas Jankvist, Helle Rørbech, Jesper Bremholm
Journal of Humanistic Mathematics
In this paper we propose a thematic focus on aesthetics in the context of an interdisciplinary collaboration between mathematics and literature (Language Arts) as a way to further students’ reflections on and deeper understanding of what characterizes the two subjects. Furthermore, we argue that approaching aesthetics through the perspective of literacy can potentially strengthen students’ understanding of ways of thinking particular to specific (academic) disciplines; ways of thinking that are otherwise often hidden when teaching focuses on more pragmatic aspects. G. H. Hardy’s A Mathematician’s Apology from 1940 serves as the recurring illustrative example in our discussions of the pedagogical …
Mathematics Heritage Project: An Exploration Empowering Students' Mathematical Identities,
2021
University of Central Florida
Mathematics Heritage Project: An Exploration Empowering Students' Mathematical Identities, Siddhi Desai, Brianna Kurtz, Farshid Safi
Journal of Humanistic Mathematics
The International Study Group on Ethnomathematics (ISGEm) supports incorporating cultural diversity of mathematical practices to promote the teaching and learning of school mathematics. Through The Mathematics Heritage Project, students at a middle school in the southeastern United States developed unique creations to connect with the mathematics connected to their identities and self-identified cultural group. Upon reflection, students reported an increased awareness of the relevance of mathematics in their lives and a sense of ownership that is both meaningful and modern.
Logic And Biology: The Correspondence Between Alfred Tarski And Joseph H. Woodger,
2021
UC Berkeley
Logic And Biology: The Correspondence Between Alfred Tarski And Joseph H. Woodger, Paolo Mancosu
Journal of Humanistic Mathematics
This article makes available some early letters chronicling the relationship between the biologist Joseph H. Woodger and the logician Alfred Tarski. Using twenty-five unpublished letters from Tarski to Woodger preserved in the Woodger Papers at University College, London, I reconstruct their relationship for the period 1935-1950. The scientific aspects of the correspondence concern, among other things, Tarski’s reports on the work he is doing, his interests, and his --- sometimes critical but always well-meaning --- reactions to Woodger’s attempts at axiomatizing and formalizing biology using the system of Principia Mathematica. Perhaps the most interesting letter from a philosophical point …
Mathematics And Magic Realism: A Study Of "The Raven Legend",
2021
SImon Fraser University
Mathematics And Magic Realism: A Study Of "The Raven Legend", Veselin Jungic
Journal of Humanistic Mathematics
This article demonstrates that “The Raven Legend”, a Haida myth transcribed by Franz Boas in 1888, is full of (ethno)mathematical concepts that Haida society used to make sense of the natural, real world. Calculus can be used to model several segments of the story since the narrative relied heavily on ideas that a mathematician would identify as the concepts of infinity and mathematical limits.
Seeing Mathematics In The World,
2021
Claremont McKenna College
Seeing Mathematics In The World, Mark Huber, Gizem Karaali
Journal of Humanistic Mathematics
No abstract provided.
Front Matter,
2021
Claremont Colleges
Group Actions On Hyperspaces,
2021
University of Texas at Tyler
Group Actions On Hyperspaces, Manpreet Singh
Math Theses
In this thesis, we will look at the structure of two spaces associated with a topological space X, C(X) and P(X). Furthermore, from the group action of a topological group G on X, we get the induced group action of G on C(X) and P(X). We will also look at few properties for actions of G on a compact Hausdorff space X: proximality, strong proximality and extreme proximality followed by the main result to give parallel characterizations of proximality and extreme proximality.
Essays On Collective Contests And Bargaining.,
2021
Indian Statistical Institute
Essays On Collective Contests And Bargaining., Dhritiman Gupta Dr.
Doctoral Theses
This thesis consists of three theoretical essays in Microeconomics. The first two essays analyze the properties of a particular class of prize sharing rules groups may employ in a situation of a collective contest with another group, over a private good. The third essay studies a situation of multi-lateral bargaining, where a buyer wants to successfully bargain with multiple sellers, who own an input each, so that he can implement a grand project. The main focus of the thesis is to theorize about and generate hypotheses of the situations summarized above. In the first chapter, we consider a situation of …
Dealing With Classification Irregularities In Real-World Scenarios.,
2021
Indian Statistical Institute
Dealing With Classification Irregularities In Real-World Scenarios., Payel Sadhukhan Dr.
Doctoral Theses
Data processing by the human sensory system comes naturally. This processing, commonly denoted as pattern recognition and analysis are carried out spontaneously by humans. In day to day life, in most cases, decision making by humans come without any conscious effort. From the middle of the past century, humans have shown interest to render their abstraction capabilities (pattern recognition and analysis) to the machine. The abstraction capability of the machine is ’machine intelligence’ or ’machine learning’ [87].The primary goal of machine learning methods is to extract some meaningful information from the ’data’. Data refers to the information or attributes that …
An Introduction To Generalized Entropy And Some Quantum Applications,
2021
The University of Texas Rio Grande Valley
An Introduction To Generalized Entropy And Some Quantum Applications, Paul Bracken
School of Mathematical & Statistical Sciences Faculty Publications
The concept of generalized entropy is introduced and some of its properties are studied. Irreversible time evolution can be generated by a non-Hermitian superoperator on the states of the system. The case when irreversibility comes about from embedding the system in a thermal reservoir is looked at. The time evolution is found compatible both with equilibrium thermodynamics and entropy production near the final state. Some examples are presented as well as a longer introduction as to how this might play a role in the black hole information loss paradox.
Non-Archimedean Models Of Morphogenesis,
2021
The University of Texas Rio Grande Valley
Non-Archimedean Models Of Morphogenesis, Wilson A. Zuniga-Galindo
School of Mathematical & Statistical Sciences Faculty Publications
We study a p-adic reaction-diffusion system and the associated Turing patterns. We establish an instability criteria and show that the Turing patterns are not classical patterns consisting of alternating domains. Instead of this, a Turing pattern consists of several domains (clusters), each of them supporting a different pattern but with the same parameter values. This type of patterns are typically produced by reaction-diffusion equations on large networks.
Amplification Of Hidden Periodic Motions In 3d Videos,
2021
Ursinus College
Amplification Of Hidden Periodic Motions In 3d Videos, Thomas Boccuto, Seraiah Kutai, Kristen Mosley, Samuel Kirk
Mathematics Summer Fellows
Ordinary videos capture a surprising amount of hidden, visually imperceptible information. For instance, videos of peoples' faces may capture color changes in the skin and artery motion from heartbeats, while videos of mechanical systems can capture subtle vibrations indicating imminent failure. Algorithms can extract and exaggerate these signals for visualization on top of the original videos. In particular, Eulerian magnification algorithms sidestep the need to track hidden motions directly and instead devise multiscale bandpass filters to amplify signals in local spatial regions. In this work, we extend these techniques beyond color videos to geometric video data captured by 3D depth …
Riemann-Hilbert Problems For Nonlocal Reverse-Time Nonlinear Second-Order And Fourth-Order Akns Systems Of Multiple Components And Exact Soliton Solutions,
2021
University of South Florida
Riemann-Hilbert Problems For Nonlocal Reverse-Time Nonlinear Second-Order And Fourth-Order Akns Systems Of Multiple Components And Exact Soliton Solutions, Alle Adjiri
USF Tampa Graduate Theses and Dissertations
We first investigate the solvability of an integrable nonlinear nonlocal reverse-time six-component fourth-order AKNS system generated from a reduced coupled AKNS hierarchy under a reverse-time reduction. Riemann-Hilbert problems will be formulated by using the associated matrix spectral problems, and exact soliton solutions will be derived from the reflectionless case corresponding to an identity jump matrix. Secondly, we present the inverse scattering transform for solving a class of eight-component AKNS integrable equations obtained by a specific reduction associated with a block matrix spectral problem. The inverse scattering transform based on Riemann-Hilbert problems is presented along with a jump matrix taken to …
Essays In Behavioral Social Choice Theory.,
2021
Indian Statistical Institute
Essays In Behavioral Social Choice Theory., Sarvesh Bandhu Dr.
Doctoral Theses
This thesis comprises four essays on social choice theory. The first three essays/chapters consider models where voters follow “non-standard” rules for decision making. The last chapter considers the binary social choice model and analyzes the consequences of a new axiom. The first chapter introduces a new axiom for manipulability when voters incur a cost if they misreport their true preference ordering. The second chapter considers the random voting model with strategic voters where standard stochastic dominance strategy-proofness is replaced by strategy-proofness under two lexicographic criteria. The third chapter also considers the random voting model but from a non-strategic perspective. It …
