University of New Mexico
Grand Valley State University
University of Missouri-St. Louis
Minnesota State University Moorhead
Trinity University
University of Nebraska-Lincoln
New Examples Of Self-Dual Near-Extremal Ternary Codes Of Length 48 Derived From 2-(47,23,11) Designs,
2024
Faculty of Mathematics, University of Rijeka
New Examples Of Self-Dual Near-Extremal Ternary Codes Of Length 48 Derived From 2-(47,23,11) Designs, Sanja Rukavina, Vladimir Tonchev
Michigan Tech Publications, Part 2
In a recent paper (Araya and Harada, 2023), Araya and Harada gave examples of self-dual near-extremal ternary codes of length 48 for 145 distinct values of the number A12 of codewords of minimum weight 12, and raised the question about the existence of codes for other values of A12. In this note, we use symmetric 2-(47,23,11) designs with an automorphism group of order 6 to construct self-dual near-extremal ternary codes of length 48 for 150 new values of A12.
Bernstein Polynomials Method For Solving Multi-Order Fractional Neutral Pantograph Equations With Error And Stability Analysis,
2024
Zayed University
Bernstein Polynomials Method For Solving Multi-Order Fractional Neutral Pantograph Equations With Error And Stability Analysis, M. H. T. Alshbool
All Works
In this investigation, we present a new method for addressing fractional neutral pantograph problems, utilizing the Bernstein polynomials method. We obtain solutions for the fractional pantograph equations by employing operational matrices of differentiation, derived from fractional derivatives in the Caputo sense applied to Bernstein polynomials. Error analysis, along with Chebyshev algorithms and interpolation nodes, is employed for solution characterization. Both theoretical and practical stability analyses of the method are provided. Demonstrative examples indicate that our proposed techniques occasionally yield exact solutions. We compare the algorithms using several established analytical methods. Our results reveal that our algorithm, based on Bernstein series …
Ramanujan Type Congruences For Quotients Of Klein Forms,
2024
The University of Texas Rio Grande Valley
Ramanujan Type Congruences For Quotients Of Klein Forms, Timothy Huber, Nathaniel Mayes, Jeffery Opoku, Dongxi Ye
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
In this work, Ramanujan type congruences modulo powers of primes p≥5 are derived for a general class of products that are modular forms of level p. These products are constructed in terms of Klein forms and subsume generating functions for t-core partitions known to satisfy Ramanujan type congruences for p=5,7,11. The vectors of exponents corresponding to products that are modular forms for Γ1(p) are subsets of bounded polytopes with explicit parameterizations. This allows for the derivation of a complete list of products that are modular forms for Γ1(p) of weights 1≤k≤5 for primes 5≤p≤19 and whose Fourier coefficients …
Information Based Approach For Detecting Change Points In Inverse Gaussian Model With Applications,
2024
California State University, San Bernardino
Information Based Approach For Detecting Change Points In Inverse Gaussian Model With Applications, Alexis Anne Wallace
Electronic Theses, Projects, and Dissertations
Change point analysis is a method used to estimate the time point at which a change in the mean or variance of data occurs. It is widely used as changes appear in various datasets such as the stock market, temperature, and quality control, allowing statisticians to take appropriate measures to mitigate financial losses, operational disruptions, or other adverse impacts. In this thesis, we develop a change point detection procedure in the Inverse Gaussian (IG) model using the Modified Information Criterion (MIC). The IG distribution, originating as the distribution of the first passage time of Brownian motion with positive drift, offers …
Euler Archive Spotlight: Multiple Search Options,
2024
University of the Pacific
Euler Archive Spotlight: Multiple Search Options, Christopher Goff
Euleriana
The Euler Archive houses PDF versions of almost all of Euler's original publications. While most visitors search the archive via a work's Eneström number, the Archive can be searched via source publication name, date written, or decade of publication. The Archive also provides context for Euler's publications through short pieces of historical information.
Euler And A Proof Of The Functional Equation For The Riemann Zeta-Function He Could Have Given,
2024
Johannes Gutenberg Universitat, Mainz
Euler And A Proof Of The Functional Equation For The Riemann Zeta-Function He Could Have Given, Alexander Aycock
Euleriana
We explain how Euler could have proved a functional equation, which is equivalent to the one for the Riemann zeta-function, that he conjectured in his paper {\it ``Remarques sur un beau rapport entre les series des puissances tant directes que reciproques"} \cite{E352} (E352: ``Remarks on the beautiful relation between the series of the direct and reciprocal powers").
Euler And The Gaussian Summation Formula For The Hypergeometric Series,
2024
Johannes Gutenberg Universitat, Mainz
Euler And The Gaussian Summation Formula For The Hypergeometric Series, Alexander Aycock
Euleriana
We show that in his paper {\it ``Plenior expositio serierum illarum memorabilium, quae ex unciis potestatum binomii formantur"} \cite{E663} (E663: ``A more thorough exposition of those memorable series that are formed from the binomial coefficients") Euler could have found the Gaussian summation formula for the hypergeometric series from his own formulas in that same paper, if he actually set the task for himself.
Euler And Homogeneous Difference Equations With Linear Coefficients,
2024
Johannes Gutenberg Universitat, Mainz
Euler And Homogeneous Difference Equations With Linear Coefficients, Alexander Aycock
Euleriana
We present a method outlined by Euler in his paper{\it ``De fractionibus continuis observationes"} \cite{E123} (E123: ``Observations on continued fractions") that can be used to solve homogeneous difference equations with linear coefficients. We will illustrate his ideas by applying it to two familiar examples and explain how it can be understood from a more modern point of view.
On The Cases In Which The Formula X^4+Kxxyy+Y^4 Can Be Reduced To A Square,
2024
Oak Ridge National Laboratory
On The Cases In Which The Formula X^4+Kxxyy+Y^4 Can Be Reduced To A Square, Georg Ehlers
Euleriana
Euler’s key idea for equating the Quartic in the title to a square is to set k=P+surd(Q). From this he derives P=f·x^2 and Q=4f·y^2+4 and solves the Pell equation for y. He then discusses various extensions to rational numbers that leave k an integer. Euler provides incomplete tables for integers k with |k|square.
Research On Arithmetic,
2024
University of Washington – Tacoma
Research On Arithmetic, Erik R. Tou
Euleriana
In this English translation, some of Joseph-Louis Lagrange's early number theory is presented. Here, he laid out a theory of binary quadratic forms with special attention to the representation problem: determining those integers which may be represented by a given form, and cataloguing the possible forms of their divisors.
Number Theory And More,
2024
University of the Pacific
Number Theory And More, Christopher Goff, Erik Tou
Euleriana
An introduction to the contents in Issue 1, Volume 4 of Euleriana.
Blueberry Drone Ai: Estimating Crop Yield Using Deep Learning & Smart Drones,
2024
Rowan University
Blueberry Drone Ai: Estimating Crop Yield Using Deep Learning & Smart Drones, Luke Tonon, Brandon Mchenry, Anthony Thompson, Harper Zappone, Jacob Green, Hieu Nguyen, Thanh Nguyen
STEM Student Research Symposium Posters
This project seeks to assist blueberry growers in New Jersey estimate crop yield by developing software that allows autonomous drones to capture aerial images of blueberry bushes in the field, perform berry count, and identify blueberry conditions using deep learning models & computer vision.
Mathematical Modeling For Dental Decay Prevention In Children And Adolescents,
2024
Kennesaw State University
Mathematical Modeling For Dental Decay Prevention In Children And Adolescents, Mahdiyeh Soltaninejad
Dissertations
The high prevalence of dental caries among children and adolescents, especially those from lower socio-economic backgrounds, is a significant nationwide health concern. Early prevention, such as dental sealants and fluoride varnish (FV), is essential, but access to this care remains limited and disparate. In this research, a national dataset is utilized to assess sealants' reach and effectiveness in preventing tooth decay, particularly focusing on 2nd molars that emerge during early adolescence, a current gap in the knowledge base. FV is recommended to be delivered during medical well-child visits to children who are not seeing a dentist. Challenges and facilitators in …
Increased Healthspan From Exercise,
2024
Olivet Nazarene University
Increased Healthspan From Exercise, Nicholas Boros
Scholar Week 2016 - present
In this talk we discuss important factors for increased healthspan. Much of the discussion will focus on strength training and cardiovascular training. In particular we outline optimal ways to increase strength and VO2 max, which are the largest contributors to increased healthspan. We will also explain what makes a strength training program “optimal” mathematically.
Rsa Algorithm,
2024
Arkansas Tech University
Rsa Algorithm, Evalisbeth Garcia Diazbarriga
ATU Research Symposium
I will be presenting about the RSA method in cryptology which is the coding and decoding of messages. My research will focus on proving that the method works and how it is used to communicate secretly.
My Experience As An It Data Intern,
2024
Winona State University
My Experience As An It Data Intern, Annajo V. Vonseth
Research & Creative Achievement Day
This poster presentation is focused on my internship as an IT Data Intern with B’nai B’rith Youth Organization (BBYO). I was able to use the skills already learned through courses here at WSU to help project and produce high-end reports. Additionally, I was in-charge of the creation of the survey all the way to creating the PowerPoint presentation with the results. I will also discuss how Microsoft Suites played a huge role in my day-to-day work, from large, complex data sets to cleaning and refining old data, I will be discussing the skills I learned during my time as an …
Data Analytics Internship At Fastenal,
2024
Winona State University
Data Analytics Internship At Fastenal, Jacob J. Haines
Research & Creative Achievement Day
The poster will present the results from an analysis of Fastenal's customer base to find characteristics among them that serve as useful predictors of their spending habits. This will allow Fastenal to create more accurate control groups when assessing the effectiveness of various marketing initiatives. This poster acts as the communication of capstone experience outcomes which is required for Data Science majors in addition to the capstone experience.
Using Data Visualizations To Analyze Employee Performance At Xcel Energy,
2024
Winona State University
Using Data Visualizations To Analyze Employee Performance At Xcel Energy, Abby Venz
Research & Creative Achievement Day
Companies often are curious about their employee performance. But how, exactly, do they analyze this? As a Data Analytics Intern for Xcel Energy, I was in charge of doing just this. This poster will walk you through the methods used to analyze and model employee performance, as well as the results found and the different ways managers at Xcel Energy used them
The Lowest Discriminant Ideal Of Cayley-Hamilton Hopf Algebras,
2024
Louisiana State University and Agricultural and Mechanical College
The Lowest Discriminant Ideal Of Cayley-Hamilton Hopf Algebras, Zhongkai Mi
LSU Doctoral Dissertations
Discriminant ideals are defined for an algebra R with central subalgebra C and trace tr : R → C. They are indexed by positive integers and more general than discriminants. Usually R is required to be a finite module over C. Unlike the abundace of work on discriminants, there is hardly any literature on discriminant ideals. The levels of discriminant ideals relate to the sums of squares of dimensions of irreducible modules over maximal ideals of C containing these discriminant ideals. We study the lowest level when R is a Cayley-Hamilton Hopf algebra, i.e. C is also a Hopf subalgebra, …
“Don’T Call On Me!”: Mediating Preservice Elementary Teachers’ Mathematics Anxiety In A Problem-Based Classroom,
2024
SUNY New Paltz
“Don’T Call On Me!”: Mediating Preservice Elementary Teachers’ Mathematics Anxiety In A Problem-Based Classroom, Christina Koehne, Wenyen Huang, Nataly Chesky
Excelsior: Leadership in Teaching and Learning
This study aims to understand the ways in which problem-based teaching in a mathematics content course can alleviate pre-service elementary school teachers' mathematics anxiety. The significance of this work is to help increase the content and pedagogical knowledge of mathematics education, as outlined in STEM policies. Using a mixed method approach, the teachers-researchers explore what methods, procedures, and other perhaps unknown variables, helped pre-service elementary teachers decrease their mathematics anxiety during two mathematics content courses. The findings illuminate five major themes the authors discuss, which are illustrated by rich descriptions of students’ narratives and interviews. Given the importance of mathematics …
