Understanding Volume Transport In The Jordan River: An Application Of The Navier-Stokes Equations, 2019 University of Maine

#### Understanding Volume Transport In The Jordan River: An Application Of The Navier-Stokes Equations, Gwyneth E. Roberts

*Honors College*

This study aims to characterize the circulation patterns in short and narrow estuarine systems on various temporal scales to identify the controls of material transport. In order to achieve this goal, a combination of in situ collected data and analytical modeling was used. The model is based on the horizontal Reynolds Averaged Navier-Stokes equations in the shallow water limit with scaling parameters defined from the characteristics of the estuary. The in situ measurements were used to inform a case study, seeking to understand water level variations and tidal current velocity patterns in the Jordan River and to improve understanding of ...

Predictive Diagnostic Analysis Of Mammographic Breast Tissue Microenvironment, 2019 University of Maine

#### Predictive Diagnostic Analysis Of Mammographic Breast Tissue Microenvironment, Dexter G. Canning

*Honors College*

Improving computer-aided early detection techniques for breast cancer is paramount because current technology has high false positive rates. Existing methods have led to a substantial number of false diagnostics, which lead to stress, unnecessary biopsies, and an added financial burden to the health care system. In order to augment early detection methodology, one must understand the breast microenvironment. The CompuMAINE Lab has researched computational metrics on mammograms based on an image analysis technique called the Wavelet Transform Modulus Maxima (WTMM) method to identify the fractal and roughness signature from mammograms. The WTMM method was used to color code the mammograms ...

Linear Algebra And Applications: An Inquiry-Based Approach, 2019 Grand Valley State University

#### Linear Algebra And Applications: An Inquiry-Based Approach, Feryal Alayont, Steven Schlicker

*Open Textbooks*

*Linear Algebra and Applications: An Inquiry-Based Approach* provides a novel open-source inquiry-based learning approach to linear algebra. The emphasis is on active learning and developing intuition through investigation of examples. The content is introduced through inquiry-based activities, starting with experimentation with hands-on concrete examples and continuing on to developing a deep understanding of the topics through working with conceptual questions. To provide motivation and context for the linear algebra content, the text includes 35 real-life applications projects. While working through all of this material in the text, readers are actively DOING mathematics instead of being passive learners. Although it is ...

A Study Of Big Field Multivariate Cryptography., 2019 University of Louisville

#### A Study Of Big Field Multivariate Cryptography., Ryann Cartor

*Electronic Theses and Dissertations*

As the world grapples with the possibility of widespread quantum computing, the cryptosystems of the day need to be up to date. Multivariate Public Key Cryptography is a leading option for security in a post quantum society. One goal of this work is to classify the security of multivariate schemes, especially *C**variants. We begin by introducing Multivariate Public Key Cryptography and will then discuss different multivariate schemes and the main types of attacks that have been proven effective against multivariate schemes. Once we have developed an appropriate background, we analyze security of different schemes against particular attacks. Specifically, we ...

Interval-Valued Kriging Models With Applications In Design Ground Snow Load Prediction, 2019 Utah State University

#### Interval-Valued Kriging Models With Applications In Design Ground Snow Load Prediction, Brennan L. Bean

*All Graduate Theses and Dissertations*

One critical consideration in the design of buildings constructed in the western United States is the weight of settled snow on the roof of the structure. Engineers are tasked with selecting a design snow load that ensures that the building is safe and reliable, without making the construction overly expensive. Western states use historical snow records at weather stations scattered throughout the region to estimate appropriate design snow loads. Various mapping techniques are then used to predict design snow loads between the weather stations. Each state uses different mapping techniques to create their snow load requirements, yet these different techniques ...

On Fractional Realizations Of Tournament Score Sequences, 2019 Utah State University

#### On Fractional Realizations Of Tournament Score Sequences, Kaitlin S. Murphy

*All Graduate Theses and Dissertations*

Contrary to popular belief, we can’t all be winners.

Suppose 6 people compete in a chess tournament in which all pairs of players compete directly and no ties are allowed; i.e., 6 people compete in a ‘round robin tournament’. Each player is assigned a ‘score’, namely the number of games they won, and the ‘score sequence’ of the tournament is a list of the players’ scores. Determining whether a given potential score sequence actually is a score sequence proves to be difficult. For instance, (0, 0, 3, 3, 3, 6) is not feasible because two players cannot both ...

Connection And Curvature In Crystals With Non-Constant Dislocation Density, 2019 Portland State University

#### Connection And Curvature In Crystals With Non-Constant Dislocation Density, Marek Z. Elźanowski, Gareth P. Parry

*Marek Z. Elźanowski*

Given a smooth defective solid crystalline structure defined by linearly independent ‘lattice’ vector fields, the Burgers vector construction characterizes some aspect of the ‘defectiveness’ of the crystal by virtue of its interpretation in terms of the closure failure of appropriately defined paths in the material and this construction partly determines the distribution of dislocations in the crystal. In the case that the topology of the body manifold M is trivial (e.g., a smooth crystal defined on an open set in R2), it would seem at first glance that there is no corresponding construction that leads to the notion of ...

The Signaling Problem: Using Exploding Dots To Solve An Accessible Mystery In An Elementary-Aged Math Circle, 2019 Talking Stick Learning Center

#### The Signaling Problem: Using Exploding Dots To Solve An Accessible Mystery In An Elementary-Aged Math Circle, Rodi Steinig

*Journal of Math Circles*

Many people want to facilitate Math Circles for younger students but don’t know how. This article provides a model for how to create an engaging Math Circle for students aged 8-10 to explore different number bases and gives a detailed narrative to guide prospective instructors through the class. The narrative follows a group of eight students spending six weeks joyfully discovering underlying mathematical structure without being told what to do.

Exploding Dots At The Msu-Billings Math Circle, 2019 Montana State University-Billings

#### Exploding Dots At The Msu-Billings Math Circle, Tien Chih

*Journal of Math Circles*

Global Math Week is an annual event started by Dr. James Tanton and the Global Math Project, connecting students around the world with the mathematics of Exploding Dots. Exploding Dots is a reconceptualization of the mechanics of arithmetic, which allows for a visually intuitive and accessible representation of a variety of mathematical topics ranging from different base representations to the arithmetic of polynomials and series. In this manuscript, we describe the first implementation of Exploding Dots at the MSU-Billings Math Circle. The actual itemized agenda of the session is described, followed by highlights of the session and observations by the ...

Commentary From The Field: Elimu Haina Mwisho “Education Has No Limits”, 2019 Central Washington University

#### Commentary From The Field: Elimu Haina Mwisho “Education Has No Limits”, Erick Mathew

*Journal of Math Circles*

Commentary From the Field: ELIMU HAINA MWISHO “Education has no Limits”

Bulk Spectrum And K-Theory For Infinite-Area Topological Quasicrystals [Dataset], 2019 University of New Mexico

#### 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 ...

Editorial Introduction To The Journal Of Math Circles, 2019 Central Washington University

#### Editorial Introduction To The Journal Of Math Circles, Emilie Hancock, Brandy Wiegers

*Journal of Math Circles*

Editorial Introduction to the Journal of Math Circles.

A Message From The Global Math Project Team, 2019 Central Washington University

#### A Message From The Global Math Project Team, James Tanton

*Journal of Math Circles*

A Message From the Global Math Project Team

Third Voices Conference On Teaching Stem With Music, September 22-23, 2019, 2019 The University of Texas at El Paso

#### Third Voices Conference On Teaching Stem With Music, September 22-23, 2019, Lawrence M. Lesser

*Journal of Humanistic Mathematics*

The third annual VOICES (Virtual Ongoing Interdisciplinary Collaborations on Educating with Song; https://www.causeweb.org/voices/) conference will be held online September 22-23, 2019. Chaired by Tiffany Getty, this conference will explore the use of song to teach STEM (science, technology, engineering, and mathematics) at the postsecondary (or secondary) level.

How To Bake A Theorem, 2019 Claremont Colleges

#### How To Bake A Theorem, Cache Dexter

*Journal of Humanistic Mathematics*

We bake bread to satisfy our hunger, and we prove theorems to satisfy our hunger for knowledge and existence. Here I explore this analogy.

Tartaglia Re-Imagined, 2019 California State University Fullerton

#### Tartaglia Re-Imagined, Aja Juola

*Journal of Humanistic Mathematics*

Niccolo Fontana wrote that he wore a beard because he feared his appearance was monstrous. No one should ever feel such shame about their physical appearance so I figured after all these years I would tell him to bare his scars proudly as a reminder of what he had endured and the life he led.

Applied Scientific Demiurgy I – Entrance Examination Information Sheet, 2019 The Australian National University

#### Applied Scientific Demiurgy I – Entrance Examination Information Sheet, Mario Daniel Martín

*Journal of Humanistic Mathematics*

This document provides all the required information needed by aspiring demiurges to sit the entrance examination for the foundation course *Applied Scientific Demiurgy I* in the scientific stream of the *Bachelor of Applied Demiurgy* at the *Topological Hyper-university of Technological Cosmology.*

Our Binary World, 2019 University of California, San Francisco

#### Our Binary World, Simona Carini

*Journal of Humanistic Mathematics*

A poem about counting in binary, life, and love.

Tuesday, 2019 Mathematical Reviews

#### Tuesday, Ursula Whitcher

*Journal of Humanistic Mathematics*

"It's Tuesday, and the week's no longer new . . ." This poem's form is taken from the structure of the field with seven elements: the meter, in iambs, follows a pattern based on 5, 4, 6, 2, 3, the nontrivial values taken by powers of 5 (mod 7) as it generates the group of units of the field.

What Is Math?, 2019 Southwestern Adventist University

#### What Is Math?, Christopher Ryan Loga

*Journal of Humanistic Mathematics*

Here is presented a poem examining what math is and is not and the conclusions (if any) we can draw as such.