Domino Circles,
2021
Bard College
Domino Circles, Lauren L. Rose, A. Gwinn Royal, Amanda Serenevy, Anna Varvak
Journal of Math Circles
Creating a circle with domino pieces has a connection with complete graphs in Graph Theory. We present a hands-on activity for all ages, using dominoes to explore problem solving, pattern recognition, parity, graph theory, and combinatorics. The activities are suitable for elementary school students, the graph theory interpretations are suitable for middle and high school students, and the underlying mathematical structures will be of interest to college students and beyond.
Error Estimates For Discrete Approximations Of Game Options With Multivariate Diffusion Asset Prices,
2021
The Hebrew University, Jerusalem 91904, Israel
Error Estimates For Discrete Approximations Of Game Options With Multivariate Diffusion Asset Prices, Yuri Kifer
Journal of Stochastic Analysis
No abstract provided.
An Upper Bound On The Spectral P-Norms Of Tensors And Matrix Permanent,
2021
Nova Southeastern University
An Upper Bound On The Spectral P-Norms Of Tensors And Matrix Permanent, Killian J. Hitsman, Vehbi E. Paksoy
Mako: NSU Undergraduate Student Journal
No abstract provided.
Profiling Mathematical Procedural And Problem-Solving Skills Of Undergraduate Students Following A New Mathematics Curriculum,
2021
Technological University Dublin
Profiling Mathematical Procedural And Problem-Solving Skills Of Undergraduate Students Following A New Mathematics Curriculum, Fiona Faulkner, Mark Prendergast, Cormac Breen, Michael Carr
Articles
In 2010 a mathematics curriculum was introduced in Irish second level schools entitled ‘Project Maths’ (PM). It aimed to refocus second level mathematics teaching and learning away from an over emphasis on procedural mathematics towards problem solving and real understanding [Department of Education and Skills (DES). (2010). Report of the Project Maths implementation support group. https://www.education.ie/en/Publications/Policy-Reports/Report-of-the-Project-Maths-Implementation-Group.pdf]. This paper aims to examine the performance of 1st year undergraduate students’ procedural and problem solving skills after the introduction of PM. A diagnostic test was developed to determine students’ skills in each area and findings demonstrated that students perform statistically significantly …
A Method For Characterizing Daily Physiology From Widely Used Wearables,
2021
Hamilton College
A Method For Characterizing Daily Physiology From Widely Used Wearables, Clark Bowman, Yitong Huang, Olivia J. Walch, Yu Fang, Elena Frank, Jonathan Tyler, Caleb Mayer, Christopher Stockbridge, Cathy Goldstein, Srijan Sen, Daniel B. Forger
Mathematics Sciences: Faculty Publications
Millions of wearable-device users record their heart rate (HR) and activity. We introduce a statistical method to extract and track six key physiological parameters from these data, including an underlying circadian rhythm in HR (CRHR), the direct effects of activity, and the effects of meals, posture, and stress through hormones like cortisol. We test our method on over 130,000 days of real-world data from medical interns on rotating shifts, showing that CRHR dynamics are distinct from those of sleep-wake or physical activity patterns and vary greatly among individuals. Our method also estimates a personalized phase-response curve of CRHR to activity …
College Algebra Through Problem Solving (2021 Edition),
2021
CUNY Queensborough Community College
College Algebra Through Problem Solving (2021 Edition), Danielle Cifone, Karan Puri, Debra Maslanko, Ewa Stelmach
Open Educational Resources
This is a self-contained, open educational resource (OER) textbook for college algebra. Students can use the book to learn concepts and work in the book themselves. Instructors can adapt the book for use in any college algebra course to facilitate active learning through problem solving. Additional resources such as classroom assessments and online/printable homework is available from the authors.
Incomplete? Or Indefinite? Intuitionism On Gödel’S First Incompleteness Theorem,
2021
Yale University
Incomplete? Or Indefinite? Intuitionism On Gödel’S First Incompleteness Theorem, Quinn Crawford
The Yale Undergraduate Research Journal
This paper analyzes two natural-looking arguments that seek to leverage Gödel’s first incompleteness theorem for and against intuitionism, concluding in both cases that the argument is unsound because it equivocates on the meaning of “proof,” which differs between formalism and intuitionism. I argue that this difference explains why “proof” has definite extension for the formalist but not for the intuitionist. Sections 1-3 summarize various philosophies of mathematics and Gödel’s result. Section 4 argues that, because the Gödel sentence of a formal system is provable to the intuitionist, they are neither aided nor attacked by Gödel’s first incompleteness theorem. Section 5 …
Bernstein-Sato Polynomials In Commutative
Algebra,
2021
Universitat Politècnica de Catalunya
Bernstein-Sato Polynomials In Commutative Algebra, Josep Àlvarez Montaner, Jack Jeffries, Luis Núñez-Betancourt
Department of Mathematics: Faculty Publications
This is an expository survey on the theory of Bernstein-Sato polynomials with special emphasis in its recent developments and its importance in commutative algebra.
Euler's De Serie Lambertina, Translated From Latin To English With Supplementary Notes,
2021
Individual
Euler's De Serie Lambertina, Translated From Latin To English With Supplementary Notes, Sam Gallagher
Euleriana
Originally published in 1779, Euler's De Serie Lambertina provides one of the early examples of the Lambert W function, a special function used in the solution to certain transcendental equations. Following the work of Johann Heinrich Lambert in 1759, who discussed a series solution to the general polynomial in series, and then particularly the solution of the general trinomial, Euler describes a symmetric form of the trinomial and its series solution. Euler investigates the series' special cases and general properties, and its use in solving certain transcendental equations. He provides several proofs of the validity of the series expansion to …
Translation Of Euler's Paper E421,
2021
Johannes Gutenberg Universitat, Mainz
Translation Of Euler's Paper E421, Alexander Aycock
Euleriana
This is paper is the result of Euler’s findings on the Eulerian integral of second kind, i.e. the Γ-function: It summarises results and formulas on and properties of the integral in the title that Euler had obtained up to this point in his career and offers more elegant proofs of those before-mentioned results, formulas and properties. The results include a derivation of the integral in the title from an algebraic integral, the reflection formula for the Γ-function and finally a formula equivalent to the Gaußian multiplication formula for the Γ-function, expressed by Euler using mere integrals of algebraic functions.
Euler And The Multiplication Formula For The Gamma Function,
2021
Johannes Gutenberg Universitat, Mainz
Euler And The Multiplication Formula For The Gamma Function, Alexander Aycock
Euleriana
We show that an apparently overlooked result of Leonhard Euler (1707-1783) from [E421] is essentially equivalent to the general multiplication for- mula for the Γ-function that was proven by Carl Friedrich Gauss (1777-1855) in [Ga28].
On The Rectilinear Motion Of Three Bodies Mutually Attracting Each Other,
2021
University of Sao Paulo
On The Rectilinear Motion Of Three Bodies Mutually Attracting Each Other, Sylvio R. Bistafa
Euleriana
This is an annotated translation from Latin of E327 -- De motu rectilineo trium corporum se mutuo attrahentium (“On the rectilinear motion of three bodies mutually attracting each other”). In this publication, Euler considers three bodies lying on a straight line, which are attracted to each other by central forces inversely proportional to the square of their separation distance (inverse-square law). Here Euler finds that the parameter that controls the relative distances among the bodies is given by a quintic function.
Euler's Miracle,
2021
Bryn Mawr College
Euler's Miracle, William Dunham
Euleriana
This article features some genuine Eulerian magic. In 1748, Leonhard Euler considered a modification of the harmonic series in which negative signs were attached to various terms by a rule that was far from self-evident. With his accustomed flair, he determined its sum, and the result was utterly improbable. There are a few occasions in mathematics when the term “breathtaking” is not too strong. This is one of them.
Ed Sandifer: An Eulerian Marathoner,
2021
Adelphi University
Ed Sandifer: An Eulerian Marathoner, Robert E. Bradley
Euleriana
Ed Sandifer was the founding secretary of the Euler Society. He published a remarkable quantity of Euler scholarship at the time of Euler’s Tercentenary in 2007.
Spotlight On The Euler Archive,
2021
Pittsburg State University
Spotlight On The Euler Archive, Cynthia J. Huffman Ph.D.
Euleriana
A spotlight on the Euler Archive with a special emphasis on contributions by Dr. C. Edward Sandifer.
Review: A History Of Mathematics In The United States And Canada (Vol. 1), By David Zitarelli,
2021
Ramapo College of New Jersey
Review: A History Of Mathematics In The United States And Canada (Vol. 1), By David Zitarelli, Lawrence D'Antonio
Euleriana
This is a review of the 2019 text by David ZItarelli, A History of Mathematics in the United States and Canada. Volume 1: 1492 - 1900
Sharing Contributions To Euler Scholarship,
2021
University of Washington – Tacoma
Sharing Contributions To Euler Scholarship, Erik R. Tou, Christopher Goff
Euleriana
A summary of this issue's contents.
Hessian Formulas And Estimates For Parabolic Schrödinger Operators,
2021
Imperial College London, U.K.
Hessian Formulas And Estimates For Parabolic Schrödinger Operators, Xue-Mei Li
Journal of Stochastic Analysis
No abstract provided.
Remembering Kunita-San,
2021
Hachiman-yama 1101-5-103, Tenpaku-ku, Nagoya, 468-0074 Japan
Remembering Kunita-San, Ken-Iti Sato
Journal of Stochastic Analysis
No abstract provided.
On \Delta^(K)-Colouring Of Powers Of Paths And Cycles,
2021
Christ University, Bangalore
On \Delta^(K)-Colouring Of Powers Of Paths And Cycles, Merlin Thomas Ellumkalayil Ms, Sudev Naduvath
Theory & Applications of Graphs
In an improper vertex colouring of a graph, adjacent vertices are permitted to receive same colours. An edge of an improperly coloured graph is said to be a bad edge if its end vertices have the same colour. A near-proper colouring of a graph is a colouring which minimises the number of bad edges by restricting the number of colour classes that can have adjacency among their own elements. The δ (k) - colouring is a near-proper colouring of G consisting of k given colours, where 1 ≤ k ≤ χ(G) – 1, which minimises the number of bad …
