#### Content Posted in 2017

1892 Modulus, Rose-Hulman Institute of Technology

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1943 Modulus (October), Rose-Hulman Institute of Technology

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2009-2010 Modulus, Rose-Hulman Institute of Technology

2010-2011 Modulus, Rose-Hulman Institute of Technology

2011-2012 Modulus, Rose-Hulman Institute of Technology

A Beckman-Quarles Type Theorem for Laguerre Transformations in the Dual Plane, Timothy Ferdinands and Landon Kavlie

A Beckman-Quarles type theorem for linear fractional transformations of the extended double plane, Joshua Keilman and Andrew Jullian Mis

A Brief History of Elliptic Integral Addition Theorems, Jose Barrios

A Characterization of Tree Type, Lon H. Mitchell

A Classification of Quadratic Rook Polynomials, Alicia Velek

A Combinatorial Proof of an Identity of Andrews, Katie Evans and Trygve Wastvedt

A Comparison of Lindelof-type Covering Properties of Topological Spaces, Petra Staynova

Adsorption Equilibrium of Water Vapor on Selexsorb-CDX Commercial Activated Alumina Adsorbent, Serbezov Atanas

A Factorial Power Variation of Fermat's Equation, Matthew J. Green

A Family of Recompositions of the Penrose Aperiodic Protoset and its Dynamic Properties, Vivian Olsiewski Healey

A Graph Partitioning Model of Congressional Redistricting, Shawn Doyle

A Hormone Therapy Model for Breast Cancer Using Linear Cancer Networks, Michelle McDuffie

A Labelling of the Faces in the Shi Arrangement, Felipe Rincon

Algebra and Matrix Normed Spaces, Seth M. Hain

A Mathematical Analysis of The Generalized Oval Track Puzzle, Samuel Kaufmann

A Metacalibration Proof of the Isoperimetric Problem, James Dilts

A Modified Lotka-Volterra Competition Model with a Non-Linear Relationship Between Species, Austin Taylor and Amy Crizer

A Multi-Objective Approach to Portfolio Optimization, Yaoyao Clare Duan

An Algebraic Characterization of Highly Connected 2n-Manifolds, Shamuel Auyeung, Joshua Ruiter, and Daiwei Zhang

An Alternating Sum of Alternating Sign Matrices, Nathan Williams

Analytic Extension and Conformal Mapping in the Dual and the Double Planes, Conrad Blom, Timothy DeVries, Andrew Hayes, and Daiwei Zhang

Analyzing Human Papillomavirus Vaccine Stockpiles, Jamie D. Lloyd

An Analysis of the Belousov-Zhabotinskii Reaction, Casey Gray

An Array of Disjoint Maximal Constant Weight Codes, Christine Berkesch

A New Computation of the Codimension Sequence of the Grassmann Algebra, Joel Louwsma, Adilson Eduardo Presoto, and Alan Tarr

An Examination of Richard Dedekind’s “Continuity and Irrational Numbers”, Chase Crosby

An Exploration of the Application of the Banzhaf Power Index to Weighted Voting Systems, Elise Buckley

An Exploration of the Approximation of Derivative Functions via Finite Differences, Brian Jain and Andrew Sheng

An Exploration of the Cantor Set, Christopher Shaver

An Identity of Derangements, Le Anh Vinh

An Introduction to the Birch and Swinnerton-Dyer Conjecture, Brent Johnson

A Non-geometric Switch Toggling Problem, Megan Duke

A Nonstandard Fourier Inequality, Jonas Azzam, Bobbi Buchholz, Ian Grooms, Gretchen Hagge, Kyle Hays, and Greg Norgard

Another Proof of the Steiner Result for Three Equidistant Points in Euclidean Space and an Analogous Proof in Hyperbolic Space, Diana Dimond

An Overview of Complex Hadamard Cubes, Ben Lantz and Michael Zowada

A p-adic Euclidean Algorithm, Cortney Lager

A Permutation Model with Finite Partitions of the Set of Atoms as Supports, Benjamin Baker Bruce

Apollonian Circle Packings and the Riemann Hypothesis, Jason Hempstead

Application of Generalized Inverses and Circulant Matrices to Iterated Functions on Integers, Chantel S. Cleghorn

Application of the Mathematical Model of Tumor-Immune Interactions for IL-2 Adoptive Immunotherapy to Studies on Patients with Metastatic Melanoma or Renal Cell Cancer, Asad Usman and Chris Cunningham

A Practical Study of Longitudinal Reference Based Compressed Sensing for MRI, Samuel Birns, Bohyun Kim, Stephanie Ku, and Kevin Stangl

A Predator Prey Model with Disease Dynamics, Chris Flake, Tram Hoang, and Elizabeth Perrigo

A Procedure for Determining the Exact Solution to a 2x2 First Order Homogeneous Nonautonomous System, Alexander K. Shveyd

A q = -1 Phenomenon for Pattern-Avoiding Permutations, Xin Chen

Are circles isoperimetric in the plane with density er?, Ping Ngai Chung, Miguel A. Fernandez, Niralle Shah, and Luis Sordo Vieira

A Reverse Sierpinski Number Problem, Daniel Krywaruczenko

A Review of the Potts Model, Laura Beaudin

A Search for Patterns in a Sequence of Integers: Proving Trends in a Recurrence Relation, Qaiser Saify

A Special Case of Selberg's Integral, Andrea Anderson

A special case of the Yelton-Gaines Conjecture on Isomorphic Dessins, Claudia Raithel

A Stochastic Shell Model of Turbulence: Numerical and Analytical Results, Kristen Campilonga, Dennis Gucker, and Joshua Keller

A Study of Approximated Solutions of Heat Conduction Problems Using Approximated Eigenfunctions, Justin Taylor

A Study of Sufficient Conditions for Hamiltonian Cycles, Melissa DeLeon

A Survey of Relative Difference Sets, Christine Berkesch, Jeff Ginn, Erin Haller, and Erin Militzer

Automorphisms of Metacyclic p-Groups with Cyclic Maximal Subgroups, Mark Schulte

Avoiding Cracks in Nanoparticle Films, Nolte Adam

Basins of Roots and Periodicity in Newton's Method for Cubic Polynomials, Amy Smith

Bathtub and Unimodal Hazard Flexibility Classification of Parametric Lifetime Distributions, Dana Lacey and Anh Nguyen

Bayesian Estimation in Autoregressive Models Using Reversible Jump Markov Chain Monte Carlo, Nathan Rogers

Beyond Burnside's Lemma, Lucas Wagner

Bounds for elements of the degree sequence of an unknown vertex set in a balanced bipartite graph, Sam Pine

Bounds on Biased and Unbiased Random Walks, Daniel Parry

Calibrating the Complexity of Ternary Propositional Connectives, William Bradley, Alex Dunn, Steve Harenberg, Matthew Owen, and Matthew Roberts

Can Additional Degrees-of-Freedom from Faster-than-Nyquist Signaling be Used to Align Interference? (TO BE SUBMITTED TO 2017 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY), Yong Jin Daniel Kim and David Vargas

Cantor’s Proof of the Nondenumerability of Perfect Sets, Laila Awadalla

Categorification of the Nonegative Rational Numbers, Matteo Copelli

Category Theory and Galois Theory, Amanda Bower

Chaotic Dynamics, Fractals, and Billiards, Aaron Peterson, Sarah Rozner, and Emily Sutter

Characterizing a Defect in a One-Dimensional Bar, Cynthia Gangi and Sameer Shah

Classification of Quasplatonic Abelian Groups and Signatures, Robert Benim

Classifying and Using Polynomials as Maps of the Field F_{p^d}s, Dylan Cutler, Jesse Johnson, Ben Rosenfield, and Kudzai Zvoma

Coarse embeddings of graphs into Hilbert space, Dylan Bacon and Michael Perlman

Coherent System of Models for a Family of Modular Curves, Tim Kneezel

Cold Positions of the Restricted Wythoff's Game, Ryoma Aoki, Junpei Sawada, Yuki Miyake, and Hiroaki Fujiwara

Combinatorics of the Figure Equation on Directed Graphs, Taylor Coon

Comparison of Centrality Estimators for Several Distributions, Jamie McCreary

Comparison of Numerical Techniques for Euclidean Curvature, Derek Dalle

Computing Fixed Point Floer Homology, Jin Woo Jang, Rachel Vishnepolsky, and Xuran Wang

Computing the Arrow Polynomial, Kumud Bhandari

Computing the elementary symmetric polynomials of the multiplier spectra of the maps z2+c, Grayson Jorgenson

Conditions for Robust Principal Component Analysis, Michael Hornstein

Constructing Mobius Transformations with Spheres, Rob Siliciano

Constructing Probability Distributions Having a Unit Index of Dispersion, Omar Talib

Continuously Diagonalizing the Shape Operator, Matthew M. Lukac

Convex Hulls and the Casas-Alvero Conjecture for the Complex Plane, Thomas Polstra

Cops and Robbers on Oriented Graphs, Elise Darlington, Claire Gibbons, Kelly Guy, and Jon Hauswald

Counting Containment Partitions, Nathan Langholz and Joe Usset

Counting Maximal Chains in Weighted Voting Posets, George Story

Counting Modular Tableaux, Nathan Meyer, Daniel Mork, Benjamin Simmons, and Bjorn Wastvedt

Course Function Value Theorems, Jared Duke and Chul-Woo Lee

Cut-sets and Cut-vertices in the Zero-Divisor Graph of ∏Zni, Benjamin Coté, Caroline Ewing, Michael Huhn, Chelsea Plaut, and Darrin Weber

Deconstructing the Welch Equation Using p-adic Methods, Abigail Mann and Adelyn Yeoh

Defining a Zeta Function for Cell Products of Graphs, Zuhair Khandker

Deflection of an elliptically loaded vortex sheet by a flat plate, Jason O. Archer

Demystifying Functions: The Historical and Pedagogical Difficulties of the Concept of the Function, Melanie Jones

Design and Optimization of Explicit Runge-Kutta Formulas, Stephen Dupal and Michael Yoshizawa

Detecting Forged Handwriting with Wavelets and Statistics, Beverly Lytle and Caroline Yang

Developing And Comparing Numerical Methods For Computing The Inverse Fourier Transform, Edgar J. Lobaton

Differential Equations and the Method of Upper and Lower Solutions, Jacob Chapman

Differential Geometry of Manifolds with Density, Ivan Corwin

Directed Graphs of Commutative Rings, Seth Hausken and Jared Skinner

Directed Graphs of Commutative Rings with Identity, Christopher Ang and Alex Shulte

Discrete Logarithms on Elliptic Curves, Aaron Blumenfeld

Discretizing the SI Epidemic Model, Kacie M. Sutton

Domains That Do Not Have a Nice Complementary Set of Rays, W. Lauritz Petersen

Dominance Over ℵ, Tyler Ball and Daniel Juda

Duursma Zeta Functions of Type IV Virtual Codes, Sarah Catalano

Early die out events in SIR epidemic models, Jonathan Ballone

E-ergodicity and Speedups, Tyler B. George

Efficiency of Lossless Compression of a Binary Tree via its Minimal Directed Acyclic Graph Representation, Mayfawny Bergmann

Eigenvalues of Non-Backtracking Walks in a Cycle with Random Loops, Ana Pop

Engineers at Play: Games as Teaching Tools for Undergraduate Engineering Students, Anastasio Daniel

Entanglement-Assisted Quantum Error-Correcting Codes from Generalized Quadrangles, William Thomas

Envy-Free Divisions, Seth Unruh

Equilateral Dimension of Riemannian Manifolds with Bounded Curvature, Jeremy Mann

Establishing a Metric in Max-Plus Geometry, Uri Carl, Kevin W. O'Neill, and Nicholas Ryder

Estimation of the Length of a Rod from Thermal Data, Nathaniel Givens, Robin Haskins, and Daniel Katz

Euclid's Partition Problem and Ceva's Theorem, Max Nosiglia

Existence of the limit at infinity for a function that is integrable on the half line, James Patrick Dix

Expansion into Partial Fractions, Noe Ricardo Arellano Velazquez

Exploring String Patterns with Trees, Deborah Sutton and Booi Yee Wong

Extensions of Extremal Graph Theory to Grids, Bret Thacher

Extensions of Turáns Theorem for Multigraphs, Cristian Aldea, Brandon Cruz, Michael Gaccione, Oksana Jablonski, and Danielle Shelton

Extreme Rays of AND-Measures in Circuit Complexity, Edward Lui

Filling in the Gaps: Using Multiple Imputation to Improve Statistical Accuracy, Ashley Peterson and Emily Martin

Finding a Matrix of Given Sign Pattern and Line Sums, Edward Kung

Finding Minimal Length Representatives in Thompson's group F, Micah Miller

First Encounters with Option Pricing and Return Simulation, Joshua Cape, Willam Dearden, William Gamber, and Linh Nguyen

Fixed Points of Number Derivatives Modulo n, Franque Bains

Folding concave polygons into convex polyhedra: The L-Shape, Emily Dinan, Alice Nadeau, and Isaac Odegard

Formulas for Computable and Noncomputable Functions, Samuel Alexander

Formulas for Fibonacci-Like Sequences Produced by Pascal-Like Triangles, Hiroshi Matsui and Toshiyuki Yamauchi

Fractals And The Weierstrass-Mandelbrot Function, Anthony Zaleski

Fractional Calculus and the Taylor-Riemann Series, Joakim Munkhammar

Frog Model Wakeup Time on the Complete Graph, Nikki Carter, Brittany Dygert, Stephen Lacina, Collin Litterell, Austin Stromme, and Andrew You

Fundamental Reflection Domains for Hyperbolic Tesselations, Jacob Grosek

Generalization of Vieta's Formula, Al-Jalila Al-Abri

Generalizations of Goursat's Theorem for Groups, Kristina Kublik

Generalized Cantor Expansions, Joseph Galante

Generalized Cwatsets, Daniel Smith

General Models for Variations of the Even Cycle Problem, Rana Kunkar, Don Andrew Macatangay, and Rachel Pepich

Generic Polynomials for Transitive Permutation Groups of Degree 8 and 9, Bradley Lewis Burdick and Jonathan Jonker

Geodesics Using Mathematica, Jacob Lewis

Geometric Models of the Card Game SET, Cherith Tucker

Gödel's Incompleteness, Tyson Lipscomb

Good Sequences, Bijections and Permutations, Igor Kortchemski

Graceful Labelings of Pendant Graphs, Alessandra Graf

Graphs and principal ideals of finite commutative rings, J. Cain, L. Mathewson, and A. Wilkens

Graphs with characteristic-dependent well-covered dimension, Joseph Burdick

Graphs with Four Independent Crossings Are Five Colorable, Nathan Harman

Graphs with Minimal Well-Covered Dimension, Gabriella Clemente

Groups of a Square-Free Order, Iordan Ganev

Hamilton Cycles in Addition Graphs, Brian Cheyne, Vishal Gupta, and Coral Wheeler

Homology of Hom Complexes, Mychael Sanchez

Human Face Recognition Technology Using the Karhunen-Loeve Expansion Technique, Anthony Giordano and Michael Uhrig

Humidity-Responsive Gas Barrier of Hydrogen-Bonded Polymer-Clay Multilayer Thin Films, Nolte Adam

Humidity Swelling/Deswelling Hysteresis in a Polyelectrolyte Multilayer Film, Nolte Adam

Hyperbolic polygonal spirals, Jillian Russo

Identifying a Coefficient Matrix for Numerical Approximations to the Wave Equation in Two Dimensions, Morgan M. Brown

Improving Conservation Techniques Through Graph Theoretic Models, Rob Hammond

Improving on the Range Rule of Thumb, Alfredo Ramirez and Charles Cox

Improving the Mathematical Model of the Tacoma Narrows Bridge, Brian Fillenwarth

Intrinsically S1 3-Linked Graphs and Other Aspects of S1 Embeddings, Andrew Brouwer, Rachel Davis, Abel Larkin, Daniel Studenmund, and Cherith Tucker

Intrinsic Knotting of Partite Graphs, Chloe Collins, Ryan Hake, Cara Petonic, and Laura Sardagna

Invariants of Finite Groups Acting as Flag Automorphisms, Dennis Tseng

Investigations into the Kaprekar Process, Robert Ellis and Jason Lewis

Irreducibility and Factors of Polynomials in Noetherian Integral Domains, Benjamin E. Anzis

Isoperimetric Regions in Gauss Sectors, Elizabeth Adams, Ivan Corwin, Diana Davis, Michelle Lee, and Regina Visocchi

Isoperimetric Regions in Spaces, Michelle Lee

Isoperimetric Regions on a Weighted 2-Dimensional Lattice, Deividas Seferis

Isoperimetry in the Plane with Density e-1/r, Paul Gallagher, David Hu, Zane Martin, Maggie Miller, and Byron Perpetua

Iterated functions and the Cantor set in one dimension, Benjamin Hoffman

Iterated Perpendicular Constructions from Interior Points on N-gons, Ivan Corwin

Josephus Problem Under Various Moduli, Toshiyuki Yamauchi, Takahumi Inoue, and Soh Tatsumi

Kidney Paired Donation: Optimal and Equitable Matchings in Bipartite Graphs, Robert John Montgomery

Klein Link Multiplicity and Recursion, David Freund and Sarah Smith-Polderman

Klein Links and Braids, David Freund and Sarah Smith-Polderman

Knots in Four Dimensions and the Fundamental Group, Jeff Boersema and Erica Whitaker

Laplacians of Covering Complexes, Richard Gustavson

L(d,2,1)-Labeling of Simple Graphs, Jean Clipperton

L(d,j,s) Minimal and Surjective Graph Labeling, Michelle Lingscheit, Kiersten Ruff, and Jeremy Ward

Least-Perimeter Partitions of the Sphere, Conor Quinn

Level Sets of Arbitrary Dimension Polynomials with Positive Coefficients and Real Exponents, Spencer Greenberg

Lie Matrix Groups: The Flip Transpose Group, Madeline Christman

Linear Feedback Shift Registers and Cyclic Codes in SAGE, Timothy Brock

Linearization and Stability Analysis of Nonlinear Problems, Robert Morgan

Linear N-Graphs, Demet Taylan and Gulnur Baser

Liouville theorems in the Dual and Double Planes, Kyle DenHartigh and Rachel Flim

Long Term Dynamics for Two Three-Species Food Webs, Brian Bockelman, Elizabeth Green, Leslie Lippitt, and Jason Sherman

Markov Chaines and Traffic Analysis, Emanuel Indrei

Mathematical Methods for Modelling Price Fluctuations of Financial Time Series, Sabyasachi Guharay

Minimal connected partitions of the sphere, Edward Newkirk

Minimal Number of Steps in the Euclidean Algorithm and its Application to Rational Tangles, M. Syafiq Johar

Modeling DNA Using Knot Theory:� An Introduction, Jenny Tomkins

Moments of the Distribution of Okazaki Fragments, Krzysztof Bartoszek and Justyna Singerska

Monopolist Strategies in a Durable Goods Market, Shikha Basnet

Natural Families of Triangles II: A Locus of Symmedian Points, Adam Carr, Julia Fisher, Andrew Roberts, and Peng (David) Xu

Natural Families of Triangles I: Parametrizing Triangle Space, Adam Carr, Julia Fisher, Andrew Roberts, and Peng (David) Xu

Neonatal Jaundice-Its Mathematical Model and Treatments, Tram Hoang, Sazia Khan, and Lorena Ortiz

New Upper Bounds on the Distance Domination Numbers of Grids, Michael Farina and Armando Grez

Non-Constant Stable Solutions to Reaction-Diffusion Equations in Star-Shaped Domains, Greg Drugan

Non-Destructive Testing of Thermal Resistances for a Single Inclusion in a 2-Dimensional Domain, Nicholas Christian and Mathew Johnson

Non-parametric Statistics for Quantifying Differences in Discrete Spectra, Alexander M. DiBenedetto

Notes on the Riemannian Geometry of Lie Groups, Michael L. Geis

Numerical Solutions for Intermediate Angles for the Laplace-Young Capillary Equations, Genevieve Dupuis and Jessica Flores

On A Sequence of Cantor Fractals, Mohsen Soltanifar

On codes generated from quadratic surfaces in PG(3,q), Mandy Passmore and Jenny Stovall

One-Step Index-Tunable Antireflection Coatings from Aggregated Silica Nanoparticles, Nolte Adam

On Fourier Series Using Functions Other than Sine and Cosine, Henry Scher

On Invariants for Spatial Graphs, Elaina Aceves and Jennifer Elder

On Involutions With Many Fixed Points in Gassmann Triples, Jim Stark

On Large Rational Solutions of Cubic Thue Equations: What Thue Did to Pell, Jarrod Anthony Cunningham, Nancy Ho, Karen Lostritto, Jon Anthony Middleton, and Nikia Tenille Thomas

On Polya's Orchard Problem, Alexandru Hening and Michael Kelly

On the Center of Non Relativistic Lie Algebras, Tyler Gorshing

On the Coarse Geometry of Lp([a,b]), Phanuel Mariano

On the Degree-Chromatic Polynomial of a Tree, Diego Cifuentes

On the existence of normal subgroups of prime index, Brooklynn Szymoniak

On the Extension of Complex Numbers, Nicholas Gauguin Houghton-Larsen

On the Fixed Points of Abelian Group Automorphisms, James Checco, Rachel Darling, Stephen Longfield, and Katherine Wisdom

On the Mathematics of Utility Theory, Harshil Sahai

On the Number of 2-Player, 3-Strategy, Strictly Ordinal, Normal Form Games, Austin Williams

On the Order of a Group Containing Nontrivial Gassmann Equivalent Subgroups, Michael DiPasquale

On the Second Twist Number, Gabriel Murillo

Optimization Methods Applied to and Compared Through an Academic Database, Lori Giles

Optimizing a Volleyball Serve, Dan Lithio and Eric Webb

Optimizing the Allocation of Vaccines in the Presence of Multiple Strains of the Influenza Virus, Ana Eveler, Tayler Grahel, Abby Kenyon, and Jessica Richardson

Order Dimension of Subgroups, Iordan Ganev

Orientability of Phylogenetic Network Graphs, Ethan Cecchetti

Perfect Distance Stars mod m, Xianrui Meng

Perfect Zero-Divisor Graphs of Z_n, Bennett Smith

Perimeter-minimizing Tilings by Convex and Non-convex Pentagons, Whan Ghang, Zane Martin, and Steven` Waruhiu

Phase Transitions in the Ising Model, Eva Ellis-Monaghan

Points of Ninth Order on Cubic Curves, Leah Balay-Wilson and Taylor Brysiewicz

Polynomials Over Finite Fields Whose Values Are Squares, Kyle Petersen

Population Dynamics with Nonlinear Diffusion, David Perry, Jessica Schaefer, Brian Schilling, and Matthew Williams

Population Models with Diffusion and Constant Yield Harvesting, A. Collins, M. Gilliland, C. Henderson, S. Koone, L. McFerrin, and E. K. Wampler

Portfolio Optimization: MAD vs. Markowitz, Beth Bower and Pamela Wentz

Positive Solutions to a Diffusive Logistic Equation with Constant Yield Harvesting, Tammy Ladner, Anna Little, Ken Marks, and Amber Russell

Prime Labeling of Small Trees with Gaussian Integers, Hunter Lehmann and Andrew Park

Prime Vertex Labelings of Families of Unicyclic Graphs, Nathan Diefenderfer, Michael Hastings, Levi N. Heath, Hannah Prawzinsky, Briahna Preston, Emily White, and Alyssa Whittemore

Proof of Euler's φ (Phi) Function Formula, Shashank Chorge and Juan Vargas

Proof of Solvability for the Generalized Oval Track Puzzle (revised 04/18/2010), Sam Kaufmann and Andreas Kavountzis

Proper Colorings and p-Partite Structures of the Zero Divisor Graph, Anna Duane

Properties of Divisor Graphs, Christopher Frayer

Properties of Magic Squares of Squares, Landon W. Rabern

Proving n-Dimensional Linking in Complete n-Complexes in (2n+1)-Dimensional Space, Megan Gregory

Quadratic Assignment Problems (QAP) and Its Size Reduction Method, Darwin Choi

Quasi p or not Quasi p? That is the Question, Ben Harwood

Randomly Generated Triangles whose Vertices are Vertices of Regular Polygons, Anna Madras and Shova KC

Randomness Extractors -- An Exposition, Wei Dai

Rational Function Decomposition of Polynomials, Steven Carter

Recent Developments in Perfect Bricks with Dimension Higher than 2 x 2, Brooke Fox

Recursion in Topological Invariants of Twist and Rational Knot Exteriors, Christian Gorski

Reducibility of Second Order Differential Operators with Rational Coefficients, Joe Geisbauer

Relations in the Dyer-Laslof Algebra for Morava E-theory, Louis Atsaves

Reversing A Doodle, Bryan A. Curtis

RISKy Business: An In-Depth Look at the Game RISK, Sharon Blatt

River Quality Modeling Using Differential Equations, Clark Bennett

Rotationally Symmetric Rose Links, Amelia Brown

Sectioning Angles Using Hyperbolic Curves, Julie Fink and Nicholas Molbert

Self-Quasi-Regularity in Certain Rings, Allen Hoffmeyer

Sequentially Decreasing Subsets of Metric Spaces, Josh Isralowitz

SI Dynamics of Disease Spread, Catherine Northrup, Elisabeth Rutter, and Kerry Stapf

Simple Surface Singularities, their Resolutions, and Construction of K3 Surfaces, Graham Hawkes

Small-worlds: Beyond Social Networking, Andrew R. Curtis

Some Geometry of the p-adic Rationals, Catherine Crompton

Spectra of Semidirect Products of Cyclic Groups, Nathan Fox

Sprials, Partial Sums and Continuous Images, Suzanne Reichel and Kyen Waldron

Squaring The Circle In The Hyperbolic Disk, Noah Davis

Stabilizing a Subcritical Bifurcation in a Mapping Model of Cardiac-Membrane Dynamics, Matthew Fischer and Colin Middleton

Statistical Investigation of Structure in the Discrete Logarithm, Andrew Hoffman

Structure and Randomness of the Discrete Lambert Map, JingJing Chen and Mark Lotts

Structure and Statistics of the Self-Power Map, Matthew Friedrichsen, Brian Larson, and Emily McDowell

Subfield-Compatible Polynomials over Finite Fields, John J. Hull

Subgroup Lattices That Are Chains, Amanda Jez

Subrings of C Generated by Angles, Jackson Bahr and Arielle Roth

Sums of Reciprocals of Irreducible Polynomials over Finite Fields, Spencer Nelson

Surface-area-minimizing n-hedral Tiles, Paul Gallagher, Whan Ghang, David Hu, Zane Martin, Maggie Miller, Byron Perpetua, and Steven Waruhiu

Symmetries of Cairo-Prismatic Tilings, John Berry, Matthew Dannenberg, Jason Liang, and Yingyi Zeng

Symmetry and Tiling Groups for Genus 4 and 5, C. Ryan Vinroot

Take Me Out to/of the Ball Game, Brandon Alleman, Michael Cortez, Katie McKinnon, and Ann Monville

Tangent circles in the hyperbolic disk, Megan Ternes

Tangent Line and Tangent Plane Approximations of Definite Integral, Meghan Peer

The Ahlfors Lemma and Picard's Theorems, Aleksander Simonic

The Box Problem, Marissa Predmore

The Broncho Tower: A Modification of the Tower of Hanoi Puzzle, Stephen B. Gregg and Juan Orozco

The Burnside Group B(3,2) as a Two-Relator Quotient of C3*C3, Matthew Farrelly

The Cayley-Hamilton Theorem via the Z-Transform, Casey Tsai

The Circuit Partition Polynomial with Applications and Relation to the Tutte and Interlace Polynomials, Andrea Austin

The Conformable Ratio Derivative, Evan Camrud

The Discrete Lambert Map, Caiyun Zhu and Anne Waldo

The Discrete Logarithm Problem and Ternary Functional Graphs, Christina Frederick and Max Brugger

The Edge Slide Graph of the 3-cube, Lyndal Henden

The Effect of a `Smart' Predator in a One Predator, Two Prey System, Elizabeth Green

The Exponential of a Quaternionic Matrix, Casey Machen

The 'Flattened' Projections of Orientable Surfaces, Jonathan Schneider

The Interpolation of Hydraulic Head Contours, Kelly Knapp

The k-Compartment Problem, Scott McEuen

The KMO Method for Solving Non-homogenous, mth Order Differential Equations, David Krohn, Daniel Mariño-Johnson, and John Paul Ouyang

The Mathematical Modeling Behind Duchenne Muscular Dystrophy, William A. Berrigan

The Membership Problem for Ideals in Z[X], Carlos E. Arreche

The Most General Planar Transformations that Map Hyperbolas to Hyperbolas, James Hays and Todd Mitchell

The Multiplicative Structure of the Group of Units of Zp[x]/ where f(x) is Reducible, Erika Gerhold, Jennifer Ferralli, and Jason Jachowski

The Old Hats Problem, Heba Hathout

Theory and Implementation of a Functional Programming Language, Ari Lamstein

The Period and the Distribution of the Fibonacci-like Sequence Under Various Moduli, Hiroshi Matsui, Masakazu Naito, and Naoyuki Totani

The Poisson Integral Formula and Representations of SU(1,1), Ewain Gwynne

The Riemann Surface of The Logarithm Constructed in a Geometrical Framework, Nikolaos Katzourakis

Thermal Imaging of Circular Inclusions within a Two-Dimensinoal Region, Shannon Talbott and Hilary Spring

The Secret Santa Problem, Matthew White

The Sigma Invariants of the Lamplighter Groups, Daniel Allen

The Stability of a Semi-Implicit Numerical Scheme for a Competition Model Arising in Math Biology, Brennon Bauer and Amy Gifford

The Strong Symmetric Genus Spectrum of Abelian Groups, Breanna Borror, Allison Morris, and Michelle Tarr

The Structure of the Tutte-Grothendieck Ring of Ribbon Graphs, Daniel C. Thompson

The Three-Variable Bracket Polynomial for Reduced, Alternating Links, Kelsey Lafferty

The Volume of n-balls, Jake Gipple

The Weierstrass representation always gives a minimal surface, Roshan Sharma

Three Term Identities for the Coefficients of Certain Infinite Products, Wei Ren

Tight Subdesigns of the Higman-Sims Design, Steven Klee and Leah Yates

Tiling with Penalties and Isoperimetry with Density, Yifei Li, Michael Mara, Isamar Rosa Plata, and Elena Wikner

Topspin: Solvability of Sliding Number Games, Eric Wilbur

Total Linking Numbers of Torus Links and Klein Links, Michael A. Bush, Katelyn R. French, and Joseph R. H. Smith

Towards Bidding Connect Four, Kenny Goodfellow

Transposing Noninvertible Polynomials, Nathan Cordner

Trees of Irreducible Numerical Semigroups, Taryn M. Laird and Jose E. Martinez

Turning the Lights Out in Three Dimensions, J. Jacob Tawney

Two Poorly Measured Quantum Observables as a Complete Set of Commuting Observables, Mark Olchanyi

Two Quasi p-Groups, Ben Harwood

Two Questions on Continuous Mappings, Xun Ge

U-factorizations in Commutative Rings with Zero Divisors, Nicholas Roersma

Unique minimal forcing sets and forced representation of integers by quadratic forms, Tahseen Rabbani

Unique Properties of the Fibonacci and Lucas Sequences, Stephen Parry

Upper Bound for Ropelength of Pretzel Knots, Safiya Moran

Using Biomechanical Optimization to Interpret Dancers' Pose Selection for a Partnered Spin, Megan E. Selbach-Allen

Variants of the Game of Nim that have Inequalities as Conditions, Toshiyuki Yamauchi, Taishi Inoue, and Yuuki Tomari

Virtual Mosaic Knots, Irina T. Garduno

Volume 52 - Issue 10 - Monday, December 5, 2016, Rose Thorn Staff

Volume 52 - Issue 11 - Monday, September 12, 2016, Rose Thorn Staff

Volume 52 - Issue 12 - Monday, December 19, 2016, Rose Thorn Staff

Volume 52 - Issue 13 - Monday, January 16, 2017, Rose Thorn Staff

Volume 52 - Issue 14 - Monday, January 23, 2016, Rose Thorn Staff

Volume 52 - Issue 15 - Monday, January 30, 2016, Rose Thorn Staff

Volume 52 - Issue 16 - Monday, February 6, 2016, Rose Thorn Staff

Volume 52 - Issue 17 - Monday February 13, 2017, Rose Thorn Staff

Volume 52 - Issue 18 - Monday, March 13, 2017, Rose Thorn Staff

Weyl group Bn as Automorphisms of n-cube: Isomorphism and Conjugacy, David Chen

Zero-Divisor Graphs and Lattices of Finite Commutative Rings, Darrin Weber

Zero-divisor Graphs of Localizations and Modular Rings, Thomas Cuchta, Kathryn A. Lokken, and William Young

Zero-Divisor Graphs of Zn and Polynomial Quotient Rings over Zn, Daniel Endean, Erin Manlove, and Kristin Henry

Zero-Divisors and Their Graph Languages, Harley D. Eades III

Zeta Functions on Kronecker Products of Graphs, Rachel Reeds