Physical Sciences and Mathematics Commons^™

Supplementary Files For "Adaptive Mapping Of Design Ground Snow Loads In The Conterminous United States", Jadon Wagstaff, Jesse Wheeler, Brennan Bean, Marc Maguire, Yan Sun

Browse all Datasets

Recent amendments to design ground snow load requirements in ASCE 7-22 have reduced the size of case study regions by 91% from what they were in ASCE 7-16, primarily in western states. This reduction is made possible through the development of highly accurate regional generalized additive regression models (RGAMs), stitched together with a novel smoothing scheme implemented in the R software package remap, to produce the continental- scale maps of reliability-targeted design ground snow loads available in ASCE 7-22. This approach allows for better characterizations of the changing relationship between temperature, elevation, and ground snow loads across the Conterminous United …

Supplementary Code For "Chain Trajectories, Domain Shapes And Terminal Boundaries In Block Copolymers", Benjamin R. Greenvall, Michael S. Dimitriyev, Gregory M. Grason

Data and Datasets

Supplementary code used for the publication "Chain trajectories, domain shapes and terminal boundaries in block copolymers" by Benjamin R. Greenvall, Michael S. Dimitriyev, and Gregory M. Grason. Includes code for extracting and analyzing polar order and chain trajectories from self-consistent field calculations of block copolymers.

Kendali Model Prediktif Kokoh Pada Model Suhu Rumah Kaca, Ratna Widayati, Sholikhatun Sholikhatun, Noorma Yulia Megawati

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Dalam paper ini dibahas mengenai masalah sistem kendali suhu rumah kaca dengan mempertimbangkan variabel gangguan. Masalah kendali suhu rumah kaca ini dimodelkan dengan RMPC (Robust Model Predictive Control). Algoritma Particle Swarm Optimization (PSO) dan Genetic Algortihm (GA) digunakan untuk mencari penyelesaian masalah RMPC pada sistem suhu rumah kaca yang berupa masalah optimisasi berkendala. Berdasarkan hasil simulasi, teknik kendali RMPC mampu mengatur suhu rumah kaca sesuai suhu yang diinginkan dengan gangguan relatif kecil yaitu sebesar 0.09^oC. Selain itu, waktu iterasi Algoritma PSO lebih cepat dalam menyelesaikan masalah RMPC pada sistem suhu rumah kaca dibandingkan dengan Algoritma Genetika.

The Dope Distance Is Sic: A Stable, Informative, And Computable Metric On Ordered Merge Trees, Jose Arbelo, Antonio Delgado, Charley Kirk, Zach Schlamowitz

Mathematics Summer Fellows

When analyzing time series data, it is often of interest to categorize them based on how different they are. We define a new dissimilarity measure between time series: Dynamic Ordered Persistence Editing (DOPE). DOPE satisfies metric properties, is stable to noise, is as informative as alternative approaches, and efficiently computable. Satisfying these properties simultaneously makes DOPE of interest to both theoreticians and data scientists alike.

Real-Time Interactive Simulation Of Large Bird Flocks: Toward Understanding Murmurations, Maxfield R. Comstock

Biology and Medicine Through Mathematics Conference

No abstract provided.

The Cohomology Of The Mod 2 Steenrod Algebra, Robert R. Bruner, John Rognes

Open Data at Wayne State

The dataset contains a minimal resolution of the mod 2 Steenrod algebra in the range 0 <= s <= 128, 0 <= t <= 200, together with chain maps for each cocycle in that range and for the squaring operation Sq^0 in the cohomology of the Steenrod algebra. The included document CohomA2.pdf explains the contents and usage of the dataset in detail (also available as supplemental material in this record).

Dataset is also available at the NIRD Research Data Archive, https://doi.org/10.11582/2021.00077; Data Description also available at arXiv.org, https://doi.org/10.48550/arXiv.2109.13117.

Software For A Conformally Invariant Yang-Mills Type Energy And Equation On 6-Manifolds, Lawrence Peterson

Datasets

The author has developed some new computer software and has used it, together with Mathematica and John M. Lee's Ricci software package, to verify many of the results in the article "A Conformally Invariant Yang-Mills Type Energy and Equation on 6-Manifolds" (arXiv:2107.08515). The author's new software is posted here, along with the Ricci package and a special guidelines file. One should read this guidelines file before studying or using the software.

A New Non-Inheriting Homogeneous Solution Of The Einstein-Maxwell Equations With Cosmological Term, Charles G. Torre

Research Vignettes

No abstract provided.

When Is A Linear Connection A Metric Connection?, Ian M. Anderson, Charles G. Torre

Tutorials on... in 1 hour or less

In this worksheet we use the DG software to answer the following question: When is there a metric tensor on M whose Christoffel symbols coincide with the components of a given linear connection?

The Differentialgeometry Package, Ian M. Anderson, Charles G. Torre

Downloads

This is the entire DifferentialGeometry package, a zip file (DifferentialGeometry.zip) containing (1) a Maple Library file, DifferentialGeometryUSU.mla, (2) a Maple help file DifferentialGeometry.help, (3) a Maple Library file, DGApplicatons.mla. This is the latest version of the DifferentialGeometry software; it supersedes what is released with Maple.

Installation instructions

What's New In Differentialgeometry Release Dg2022, Ian M. Anderson, Charles G. Torre

Tutorials on... in 1 hour or less

This Maple worksheet demonstrates the salient new features and functionalities of the 2022 release of the DifferentialGeometry software package.

The De Rham Decomposition Theorem, Ian M. Anderson, Charles G. Torre

Tutorials on... in 1 hour or less

In this worksheet we show how the DG software provides for a local implementation of the de Rham decomposition theorem for Riemannian manifolds.

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 …

Geometry Aided Sonification, Michael Tecce

Computer Science Summer Fellows

Sonification is the process of deriving an audio representation of a time series which conveys important information about that time series. Otology and vision science have established that humans process audio information more quickly than visual information, and sonification can convey data to the visually impaired. In our work, we implement pipelines using Python/Numpy, and we handle both ordinary 1D time series and multivariate time series. For 1D time series, we find that using data to modulate the pitch or timing of preselected sounds (such as sine waves) simply and effectively captures repeating patterns and anomalies/outliers within the data. To …

College Algebra Notes And Exercises (Gcsu), Rabia Shahbaz, Janice Alves

Mathematics Ancillary Materials

Developed as part of a Round 13 Mini-Grant, these updated supplementary materials for Stitz-Zeager Open Source Mathematics and the LibGuides Open Course for College Algebra at GCSU include notes and exercises on equations, inequalities, functions, polynomial and rational functions, and exponential and logarithmic functions are included in one .zip file.

Guided Notes For College Algebra (Ggc), Rabia Shahbaz, Janice Alves

Mathematics Ancillary Materials

This collection of guided notes was created through a Round Fifteen Mini-Grant for Ancillary Materials Creation and Revision. Major topics include:

• Review Topics
• Equations and Inequalities
• Functions and Graphs
• Other Functions and Inequalities
• Exponentials and Logarithms

Level Algebras And S-Lecture Hall Polytopes, Mccabe Olsen, Florian Kohl

Faculty Publications - Mathematics

No abstract provided.

Single-Seed Cascades On Clustered Networks. Network Science, John Mcsweeney

Faculty Publications - Mathematics

No abstract provided.

The Mathematics Of Secrets : Cryptography From Caesar Ciphers To Digital Encryption, William Green

Faculty Publications - Mathematics

No abstract provided.

On The Lp Boundedness For Four-Dimensional Wave Operators For Schrodinger Operators With A Threshold Eigenvalue, William Green, Michael Goldberg

Faculty Publications - Mathematics

No abstract provided.

An Introduction To Copulas, Yifan Guo, Geng Zhang

Capstone Showcase

Copulas are the mathematical functions that connect the distribution functions of univariate random variables to form multivariate distributions. We define copulas, present some of their key properties, and provide examples of their applications.

Mathematical Modeling (Fvsu), Samuel Cartwright, Bhavana Burell

Mathematics Grants Collections

This Grants Collection for Mathematical Modeling was created under a Round Thirteen ALG Textbook Transformation Grant.

Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.

Each collection contains the following materials:

• Linked Syllabus
• Initial Proposal
• Final Report

Survey Of Calculus (Ga Southern), Paul Hadavas

Mathematics Grants Collections

This Grants Collection for Survey of Calculus was created under a Round Twelve ALG Textbook Transformation Grant.

Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.

Documents are in .pdf format, with a separate .docx (Word) version available for download. Each collection contains the following materials:

• Linked Syllabus
• Initial Proposal
• Final Report

College Algebra (Atlm), Shreyas Desai, Anthonia Ekwuocha, Noel Whelchel

Mathematics Grants Collections

This Grants Collection for College Algebra was created under a Round Twelve ALG Textbook Transformation Grant.

Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.

Each collection contains the following materials:

• Linked Syllabus
• Initial Proposal
• Final Report

Bulk Spectrum And K-Theory For Infinite-Area Topological Quasicrystals [Dataset], Terry A. Loring

Math and Statistics Datasets

Archived here are files, data and program files, that are supplementary the following article, expected to be published in 2019:

* Terry A. Loring. Bulk Spectrum and K-theory for Infinite-Area Topological Quascrystal. Journal of Mathematical Physics, (2019 est.).

The files, in Matlab format, allow the user to create approximate eigenvalues for a topological Hamilontian on a round patch of a quasicrystal. The data files describe pathes of the Ammann-Bennkeer tiling. One of the data files is really large. Read the file README.txt first (available via the main download button), so see if you can avoid downloading the largest file.

Recommended …

Network Analyses Of Glomerular Capillaries, Jason Cory Brunson, Justin Sardi, Mark Terasaki

Biology and Medicine Through Mathematics Conference

No abstract provided.

Software For Conformal Boundary Operators, T-Curvatures, And Conformal Fractional Laplacians Of Odd Order, Lawrence Peterson

Datasets

The author has developed some new computer software and has used it, together with Mathematica and John M. Lee's Ricci software package, to construct and verify many of the symbolic formulae in the article "Conformal boundary operators, T-curvatures, and conformal fractional Laplacians of odd order," by the author and A. Rod Gover. This software is posted here, along with the Ricci package.

The author has also prepared a special guidelines file describing the new software. This guidelines file briefly describes Mathematica and Ricci as well. One should read Section 3 of the guidelines file before saving the main software file …

University Scholar Series: Tatiana Shubin, Tatiana Shubin

University Scholar Series

Moving in Circles: the Beauty and Joy of Mathematics for Everyone

Tatiana Shubin joined the faculty of San Jose State University in 1985 after earning her Ph.D. in Math­ematics from University of California, Santa Barbara. In 1998, she founded San Jose Math Circle and the Bay Area Math Adventures. In 2006, Shubin became a co-founder of the first Math Teachers' Circle in the US. This circle proved to be a seed which germinated to produce the entire Math Teachers' Circle Network. She launched the Navajo Nation Math Circles project in 2012, became a co-founder and co-director of the Alliance of …

The Modern Methods Of Using Alternative Energy Sources, U. Mirzayev, J. T. Tulakov Jakhongir Turakul Ugl

Central Asian Problems of Modern Science and Education

At present, much attention is paid to the use of solar energy. Solar energy, in addition to traditional energy, is ecologically clean while changing. The rarity and the rising cost of fuel is one of the main problems of the scientific technique, which is the acquisition of infinite resources of solar energy. Further research and experiments on the use of solar energy, as well as the use of solar power plants in a number of countries, shows that solar energy can be widely used today based on modern technical capacities

Research Of Processes Of Implantation Of Ions In Monocrystal Gaas (001) On Purpose Increase In Efficiency Of Solar Elements, I. I. Khafizov, K. K. Gafforov

Central Asian Problems of Modern Science and Education

On purpose increase efficiency of solar elements it has been investigated process of ionic implantation influencing the big number of the interconnected coefficients, most important of which is target orientation, a grade, initial energy and a corner of falling of primary particles