This collection features scholarly and creative work by faculty members of the Mathematics Department at Central Washington University.

The Brooks Library can assist CWU faculty with locating, digitizing, clearing copyright and depositing their scholarship in ScholarWorks. Please email the , or call (509) 963-1718 for more information.

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Submissions from 2022

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Dimension of images of large level sets, Gavin Armstrong and Anthony O'Farrell

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Complete examples of encryption systems broken by Elizebeth Smith Friedman: 1923–1934, Stuart Boersma

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Elizebeth Smith Friedman and one example of a prohibition era encryption system, Stuart Boersma

Submissions from 2021

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Supporting the Development of Process-Focused Metacognition During Problem-Solving, Emilie Hancock and Gulden Karakok

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Mentoring our young reviewers: learning from our learning curve, Lyndon V. Hernandez, Michael B. Wallace, Deborah E. Bowman, Stephanie Kinnan, Dominic Klyve, and Amandeep K. Shergill

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A Prime Testing Algorithm from Leonhard Euler, Dominic Klyve and Erik R. Tou

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What’s in the Bag?, Aaron Montgomery

Submissions from 2020

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Do Nontechnical Skills Affect Legal Outcomes After Endoscopic Perforations?, Lyndon V. Hernandez, Dominic Klyve, Lauren Feld, Guda Nalini, and Andrew Feld

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50 Years of CMJ: The First Decade, Dominic Klyve

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Low-Intensity Continuous Ultrasound for the Symptomatic Treatment of Upper Shoulder and Neck Pain: A Randomized, Double-Blind Placebo-Controlled Clinical Trial, Stephanie Petterson, Kevin Plancher, Dominic Klyve, David Draper, and Ralph Ortiz

Submissions from 2019

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Sums over primitive sets with a fixed number of prime factors, Jonathan Bayless, Paul Kinlaw, and Dominic Klyve

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Celebrating ten years of KRYPTOS: a series of cryptanalysis, Cheryl Beaver and Stuart Boersma

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From qualification to consensus: The role of multimodal uncertainty in collective argumentation regarding complex integration, Brent Hancock

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Estimating the Density of the Abundant Numbers, Dominic Klyve, Melissa Pidde, and Kathryn E. Temple

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Using the United States Census Data to Introduce Differential Equations, Jean Marie Linhart

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Experts’ Construction of Mathematical Meaning for Derivatives and Integrals of Complex-Valued Functions, Michael Oehrtman, Hortensia Soto-Johnson, and Brent Hancock

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Nature of learning environment in concurrent enrollment mathematics classrooms: a cluster analysis, Stephen Stein and Peter Klosterman

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Using Primary Source Projects to teach undergraduate mathematics content: analysis of instructor implementation and perceptions, Diana White, Nicholas Carruth, Joshua Eastes, Dominic Klyve, Daniel Otero, and Nicholas A. Scoville

Submissions from 2018

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On Central Branch/Reinsurance Risk Networks: Exact Results and Heuristics, Florin Avram and Sooie-Hoe Loke

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Connecting new knowledge to old: Uncovering hidden premises in mathematical explanations, Peter Klosterman

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How to Calculate π: Machin's Inverse Tangents, A Mini-Primary Source Project for Calculus II Students, Dominic Klyve

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Effect of low-intensity long-duration ultrasound on the symptomatic relief of knee osteoarthritis: a randomized, placebo-controlled double-blind study, Dominic Klyve, Ralph Ortiz, Davie O. Draper, and Thomas M. Best

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Numerical Ruin Probability in the Dual Risk Model with Risk-Free Investments, Sooie-Hoe Loke and Enrique Thomann

Submissions from 2017

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A local saddle point theorem and an application to a nonlocal PDE, James Bisgard

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Media Exposure on Student Work: Spotlight on Undergraduate Research, Dominic Klyve

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The derivatives of the sine and cosine functions: A Mini_Primary Source Project for Calculus I Students, Dominic Klyve

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The Other Moore Method, Dominic Klyve

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A Series of Mini-projects from TRIUMPHS: TRansforming Instruction in Undergraduate Mathematics via Primary Historical Sources, Dominic Klyve, Janet Heine Barnett, Kathleen M. Clark, Jerry Lodder, Daniel E. Ortero, Nick Scoville, and Diana White

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Original Sources and the Lessons of History, Dominic Klyve and Diana White

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A note on the convexity of ruin probabilities, David Landriault, Bin Li, Sooie-Hoe Loke, Gordon E. Willmot, and Di Xu

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Optimum Injury and Illness Prevention Cost for U.S. Construction Projects, Sathyanarayanan Rajendran, Morgan Bliss, and Dominic Klyve

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Do-It-Yourself Fractal Functions, Janet M. Shiver, Teri Willard, and Mandy McDaniel

Submissions from 2016

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Mortality Rate Modeling of Joint Lives and Survivor Insurance Contracts Tested by A Novel Unilateral Dependence Measure, Yvonne Chueh, Angel Caţaron, and Răzvan Andonie

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Writing About Shakespeare: 1960–2010, Dominic Klyve and Laura Estill

Submissions from 2015

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Mountain Passes and Saddle Points, James Bisgard

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Software for Teaching Probability Models, Chinmei Y. Chueh

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Families of Values of the Excedent Function σ(n)−2n, Raven Dean, Rick Erdman, Dominic Klyve, Emily Lycette, Melissa Pidde, and Derek Wheel

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Spare your arithmetic, never count the turns: A statistical analysis of writing about Shakespeare, 1960-2010, Laura Estill, Dominic Klyve, and Kate Bridal

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Response to: Gavin C. Harewood's "Impact of 'Regression to the Mean' on Colonoscopy Performance Data, Lyndon V. Hernandez and Dominic Klyve

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The Missing Meditatio: Leonhard Euler's (1707-1783) Contribution to Articulatory Phonetics, Olivia Hirschey and Dominic Klyve

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Book Review: Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers, Dominic Klyve

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A Prospective Study on Endoscopy for Luminal Abnormalities on Imaging and Its Impact on Clinical Management, Veena Kumaravel, Mohamed Mahmoud, Dominic Klyve, Lyndon V. Hernandez, and Nalini M. Guda

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Potential mechanisms of coexistence between two globally important Pseudo-nitzschia (Bacillariophyta) species, Evangelia Smeti, Daniel L. Roelke, Gwénaëlle Gremion, Jean Marie Linhart, Daniel B. Danielidis, and Sophie Spatharis

Submissions from 2014

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Did Euler Know Quadratic Reciprocity?: New Insights from a Forgotten Work, Paul Bialek and Dominic Klyve

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Teaching Future Actuaries: Learn. Do. Automate Loss Modeling., Chinmei Y. Chueh

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Teaching Matters: You Do Not Really Understand MLC Unless, Chinmei Y. Chueh

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Towards Developing a Quantitative Literacy/Reasoning Assessment Instrument, Eric C. Gaze, Aaron Montgomery, Semra Kilic-Bahi, Deann Leoni, Linda Misener, and Corrine Taylor

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Temporal Trends in the Detection of Right-Sided Colon Polyps: Summary Data of Large GI Practices, Nalini M. Guda, Neil Gupta, Dominic Klyve, John I. Allen, Thomas M. Deas, Lin Huang, Scott R. Ketover, Kyle P. Etzkorn, Kumar G. Gutta, Steven Morris, Prateek Sharma, and Lyndon V. Hernandez

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Longitudinal Assessment of Colonoscopy Quality Indicators: A Report From the Gastroenterology Practice Management Group (GPMG), Lyndon V. Hernandez, Thomas M. Deas, Marc F. Catalano, Naina M. Guda, Lin Huang, Scott R. Ketover, Kyle P. Etzkorn, Kumar G. Gutta, Steve J. Morris, Michael J. Schmalz, Dominic Klyve, and John I. Allen

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A Pilot Study of Endoluminal US for Stool Liquefaction, Lyndon V. Hernandez, George Triadafilopoulos, Joseph Kost, Robert A. Ganz, Shane Fleshman, Dominic Klyve, Martin Ton, and George Lewis

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Euler and Gravity, Dominic Klyve

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On Formal Graph-Theoretic Definitions of the Ihara Zeta Function, Christopher Storm and Dominic Klyve

Submissions from 2013

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Reciprocal Sums as a Knowledge Metric: Theory, Computation, and Perfect Numbers, Jonathan Bayless and Dominic Klyve

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New Bounds and Computations on Prime-Indexed Primes, Jonathan Bayless, Dominic Klyve, and Tomas Oliveira e Silva

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On Mountain Pass Type Algorithms, James Bisgard

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Measuring Habits of Mind: Toward a Prompt-less Instrument for Assessing Quantitative Literacy, Stuart Boersma and Dominic Klyve

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Using a Media-Article Approach to Quantitative Reasoning as an Honors Course: An Exploratory Study, Stuart Boersma and Dominic Klyve

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Asymptotically Unbiased Estimator of the Informational Energy with kNN, Angel Caţaron, Răzvan Andonie, and Chinmei Y. Chueh

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On the Difference Between an Integer and the Sum of its Proper Divisors, Nicole Davis, Dominic Klyve, and Nicole Kraght

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Distant Parents in Complete Binary Trees, Stephen P. Glasby

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Ramanujan, Quadratic Forms, and the Sum of Three Cubes, James D. Harper

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A Longitudinal Assessment of Colonoscopy Quality Indicators: A Report From the Gastroenterology Practice Management Group (GPMG), Lyndon V. Hernandez, John I. Allen, Thomas M. Deas, Nalini M. Guda, Michael J. Schmalz, Dominic Klyve, and Marc F. Catalano

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Malpractice Claims for Endoscopy, Lyndon V. Hernandez, Dominic Klyve, and Scott E. Regenbogen

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Darwin, Malthus, Süssmilch, and Euler: The ultimate origin of the motivation for the theory of natural selection, Dominic Klyve

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In defense of Bertrand: The non-restrictiveness of reasoning by example, Dominic Klyve

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New Gems in Old Letters: The Pomerance-Erdős Correspondence, Dominic Klyve

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Why Do We Need Proof?, Janet M. Shiver

Submissions from 2012

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KRYPTOS: A Pacific Northwest Cryptanalysis Contest for Undergraduates, Cheryl Beaver and Stuart Boersma

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A Compact Embedding for Sequence Spaces, James Bisgard

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Proportion of cyclic matrices in maximal reducible matrix algebras, Scott Brown, Michael Giudici, Stephen P. Glasby, and Cheryl E. Praeger

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A Zeta Function for Juggling Sequences, Carsten Elsner, Dominic Klyve, and Erik R. Tou

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Small Sample Stochastic Tail Modeling: Tackling Sampling Errors and Sampling Bias by Pivot-Distance Sampling and Parametric Curve Fitting Techniques, Paul H. Johnson Jr., Chinmei Y. Chueh, and Yongxue Qi

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Looking for Fibonacci Base-2 Pseudoprimes, Daniel J. Monfre and Dominic Klyve

Submissions from 2011

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On the Sum of Reciprocals of Amicable Numbers, Jonathan Bayless and Dominic Klyve

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Quantitative Reasoning in the Contemporary World, 3: Assessing Student Learning, Stuart Boersma, Caren Diefenderfer, Shannon W. Dingman, and Bernard L. Madison

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A Wieferich Prime Search up to 6.7 × 10^15, François G. Dorais and Dominic Klyve

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Eigenvalues in Filled Julia Sets, Jonathon E. Fassett

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Enumerating the Rationals from Left to Right, Stephen P. Glasby

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p-Groups with a unique proper non-trivial characteristic subgroup, Stephen P. Glasby, P. P. Pálfy, and Csaba Schneider

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An Empirical Approach to the St. Petersburg Paradox, Dominic Klyve and Anna Lauren

Submissions from 2010

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What's My Domain?, W. Dan Curtis

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Particle representations of superprocesses with dependent motions, Kathryn E. Temple

Submissions from 2009

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An Approximation of the Kinetic Energy of a Superfluid Film on a Riemann Surface, Chris Petersen Black

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Towards an efficientMeat-axealgorithm usingf-cyclicmatrices: The density of uncyclic matrices in M(n,q), Stephen P. Glasby and Cheryl E. Praeger

Submissions from 2008

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Worms by number, C. J. Glasby, Stephen P. Glasby, and F. Pleijel

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Writing representations over proper division subrings, Stephen P. Glasby

Submissions from 2007

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See The Light! A Nice Application of Calculus to Chemistry, Stuart Boersma and Garrett McGowan

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The shape of solvable groups with odd order, Stephen P. Glasby

Submissions from 2006

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Homoclinics for a Hamiltonian with wells at different levels, James Bisgard

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On the structure of compact subsets of Cp, A. D. Raza Choudary, Angel Popescu, and Nicolae Popescu

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The Meat-axe and f-cyclic matrices, Stephen P. Glasby

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Writing projective representations over subfields, Stephen P. Glasby, C. R. Leedham-Green, and E. A. O'Brien

Submissions from 2005

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Some analogs of Zariski's Theorem on nodal line arrangements, A.D. Raza Choudary, Alexandru Dimca, and Ştefan Papadima

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Solvable groups with a given solvable length, and minimal composition length, Stephen P. Glasby

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Stopping Strategies and Gambler's Ruin, James D. Harper and Kenneth A. Ross

Submissions from 2004

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Inverse limits and full families, Jonathon E. Fassett

Submissions from 2003

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Quadratic representations for groups of Lie type over fields of characteristic two, Timothy Englund

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Another simple proof of 1+1/2(2)+1/3(2)+···=π(2)/6, James D. Harper

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A Hairy Parabola, Aaron Montgomery

Submissions from 2002

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Topology of Complex Polynomials and Jacobian Conjecture, Alla Ditta Raza Choudary