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.
Submissions from 2023
Economic Representative Scenarios for Variable Annuity Dynamic Hedging of GMMB and GMDB, Emmanuel Hamel, Yvonne C.M. Chueh, and Donald Davendra
Submissions from 2022
Dimension of images of large level sets, Gavin Armstrong and Anthony O'Farrell
Complete examples of encryption systems broken by Elizebeth Smith Friedman: 1923–1934, Stuart Boersma
Elizebeth Smith Friedman and one example of a prohibition era encryption system, Stuart Boersma
Elizebeth Smith Friedman’s recovery of the wiring of two rotors from an enigma D machine, Stuart Boersma
A comparison of the university mathematics learning environment with its high school equivalent, Peter Klosterman and Stephen Stein
Computing and Estimating Distortion Risk Measures: How to Handle Analytically Intractable Cases?, Sahadeb Upretee and Vytaras Brazauskas
Submissions from 2021
Supporting the Development of Process-Focused Metacognition During Problem-Solving, Emilie Hancock and Gulden Karakok
Community Roles for Supporting Emerging Education Researchers, Christopher A. F. Hass, Emilie Hancock, Samantha Wilson, Shams El-Adawy, and Eleanor C. Sayre
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
A Prime Testing Algorithm from Leonhard Euler, Dominic Klyve and Erik R. Tou
What’s in the Bag?, Aaron Montgomery
Submissions from 2020
Do Nontechnical Skills Affect Legal Outcomes After Endoscopic Perforations?, Lyndon V. Hernandez, Dominic Klyve, Lauren Feld, Guda Nalini, and Andrew Feld
50 Years of CMJ: The First Decade, Dominic Klyve
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
Sums over primitive sets with a fixed number of prime factors, Jonathan Bayless, Paul Kinlaw, and Dominic Klyve
Celebrating ten years of KRYPTOS: a series of cryptanalysis, Cheryl Beaver and Stuart Boersma
From qualification to consensus: The role of multimodal uncertainty in collective argumentation regarding complex integration, Brent Hancock
Estimating the Density of the Abundant Numbers, Dominic Klyve, Melissa Pidde, and Kathryn E. Temple
Using the United States Census Data to Introduce Differential Equations, Jean Marie Linhart
Experts’ Construction of Mathematical Meaning for Derivatives and Integrals of Complex-Valued Functions, Michael Oehrtman, Hortensia Soto-Johnson, and Brent Hancock
Nature of learning environment in concurrent enrollment mathematics classrooms: a cluster analysis, Stephen Stein and Peter Klosterman
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
On Central Branch/Reinsurance Risk Networks: Exact Results and Heuristics, Florin Avram and Sooie-Hoe Loke
Connecting new knowledge to old: Uncovering hidden premises in mathematical explanations, Peter Klosterman
How to Calculate π: Machin's Inverse Tangents, A Mini-Primary Source Project for Calculus II Students, Dominic Klyve
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
Numerical Ruin Probability in the Dual Risk Model with Risk-Free Investments, Sooie-Hoe Loke and Enrique Thomann
Submissions from 2017
A local saddle point theorem and an application to a nonlocal PDE, James Bisgard
Media Exposure on Student Work: Spotlight on Undergraduate Research, Dominic Klyve
The derivatives of the sine and cosine functions: A Mini_Primary Source Project for Calculus I Students, Dominic Klyve
The Other Moore Method, Dominic Klyve
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
Original Sources and the Lessons of History, Dominic Klyve and Diana White
A note on the convexity of ruin probabilities, David Landriault, Bin Li, Sooie-Hoe Loke, Gordon E. Willmot, and Di Xu
Optimum Injury and Illness Prevention Cost for U.S. Construction Projects, Sathyanarayanan Rajendran, Morgan Bliss, and Dominic Klyve
Do-It-Yourself Fractal Functions, Janet M. Shiver, Teri Willard, and Mandy McDaniel
Submissions from 2016
Mortality Rate Modeling of Joint Lives and Survivor Insurance Contracts Tested by A Novel Unilateral Dependence Measure, Yvonne Chueh, Angel Caţaron, and Răzvan Andonie
Writing About Shakespeare: 1960–2010, Dominic Klyve and Laura Estill
Submissions from 2015
Mountain Passes and Saddle Points, James Bisgard
Software for Teaching Probability Models, Chinmei Y. Chueh
Families of Values of the Excedent Function σ(n)−2n, Raven Dean, Rick Erdman, Dominic Klyve, Emily Lycette, Melissa Pidde, and Derek Wheel
Spare your arithmetic, never count the turns: A statistical analysis of writing about Shakespeare, 1960-2010, Laura Estill, Dominic Klyve, and Kate Bridal
Response to: Gavin C. Harewood's "Impact of 'Regression to the Mean' on Colonoscopy Performance Data, Lyndon V. Hernandez and Dominic Klyve
The Missing Meditatio: Leonhard Euler's (1707-1783) Contribution to Articulatory Phonetics, Olivia Hirschey and Dominic Klyve
Book Review: Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers, Dominic Klyve
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
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
Did Euler Know Quadratic Reciprocity?: New Insights from a Forgotten Work, Paul Bialek and Dominic Klyve
Teaching Future Actuaries: Learn. Do. Automate Loss Modeling., Chinmei Y. Chueh
Teaching Matters: You Do Not Really Understand MLC Unless, Chinmei Y. Chueh
Towards Developing a Quantitative Literacy/Reasoning Assessment Instrument, Eric C. Gaze, Aaron Montgomery, Semra Kilic-Bahi, Deann Leoni, Linda Misener, and Corrine Taylor
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
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
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
Euler and Gravity, Dominic Klyve
On Formal Graph-Theoretic Definitions of the Ihara Zeta Function, Christopher Storm and Dominic Klyve
Submissions from 2013
Reciprocal Sums as a Knowledge Metric: Theory, Computation, and Perfect Numbers, Jonathan Bayless and Dominic Klyve
New Bounds and Computations on Prime-Indexed Primes, Jonathan Bayless, Dominic Klyve, and Tomas Oliveira e Silva
On Mountain Pass Type Algorithms, James Bisgard
Measuring Habits of Mind: Toward a Prompt-less Instrument for Assessing Quantitative Literacy, Stuart Boersma and Dominic Klyve
Using a Media-Article Approach to Quantitative Reasoning as an Honors Course: An Exploratory Study, Stuart Boersma and Dominic Klyve
Asymptotically Unbiased Estimator of the Informational Energy with kNN, Angel Caţaron, Răzvan Andonie, and Chinmei Y. Chueh
On the Difference Between an Integer and the Sum of its Proper Divisors, Nicole Davis, Dominic Klyve, and Nicole Kraght
Distant Parents in Complete Binary Trees, Stephen P. Glasby
Ramanujan, Quadratic Forms, and the Sum of Three Cubes, James D. Harper
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
Malpractice Claims for Endoscopy, Lyndon V. Hernandez, Dominic Klyve, and Scott E. Regenbogen
Darwin, Malthus, Süssmilch, and Euler: The ultimate origin of the motivation for the theory of natural selection, Dominic Klyve
In defense of Bertrand: The non-restrictiveness of reasoning by example, Dominic Klyve
New Gems in Old Letters: The Pomerance-Erdős Correspondence, Dominic Klyve
Why Do We Need Proof?, Janet M. Shiver
Submissions from 2012
KRYPTOS: A Pacific Northwest Cryptanalysis Contest for Undergraduates, Cheryl Beaver and Stuart Boersma
A Compact Embedding for Sequence Spaces, James Bisgard
Proportion of cyclic matrices in maximal reducible matrix algebras, Scott Brown, Michael Giudici, Stephen P. Glasby, and Cheryl E. Praeger
A Zeta Function for Juggling Sequences, Carsten Elsner, Dominic Klyve, and Erik R. Tou
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
Looking for Fibonacci Base-2 Pseudoprimes, Daniel J. Monfre and Dominic Klyve
Submissions from 2011
On the Sum of Reciprocals of Amicable Numbers, Jonathan Bayless and Dominic Klyve
Quantitative Reasoning in the Contemporary World, 3: Assessing Student Learning, Stuart Boersma, Caren Diefenderfer, Shannon W. Dingman, and Bernard L. Madison
A Wieferich Prime Search up to 6.7 × 10^15, François G. Dorais and Dominic Klyve
Eigenvalues in Filled Julia Sets, Jonathon E. Fassett
Enumerating the Rationals from Left to Right, Stephen P. Glasby
p-Groups with a unique proper non-trivial characteristic subgroup, Stephen P. Glasby, P. P. Pálfy, and Csaba Schneider
An Empirical Approach to the St. Petersburg Paradox, Dominic Klyve and Anna Lauren
Submissions from 2010
What's My Domain?, W. Dan Curtis
Particle representations of superprocesses with dependent motions, Kathryn E. Temple
Submissions from 2009
An Approximation of the Kinetic Energy of a Superfluid Film on a Riemann Surface, Chris Petersen Black
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
Worms by number, C. J. Glasby, Stephen P. Glasby, and F. Pleijel
Writing representations over proper division subrings, Stephen P. Glasby
Submissions from 2007
See The Light! A Nice Application of Calculus to Chemistry, Stuart Boersma and Garrett McGowan
The shape of solvable groups with odd order, Stephen P. Glasby
Submissions from 2006
Homoclinics for a Hamiltonian with wells at different levels, James Bisgard
On the structure of compact subsets of Cp, A. D. Raza Choudary, Angel Popescu, and Nicolae Popescu
The Meat-axe and f-cyclic matrices, Stephen P. Glasby
Writing projective representations over subfields, Stephen P. Glasby, C. R. Leedham-Green, and E. A. O'Brien
Submissions from 2005
A Mathematician's Look at Foucault's Pendulum, Stuart Boersma
Some analogs of Zariski's Theorem on nodal line arrangements, A.D. Raza Choudary, Alexandru Dimca, and Ştefan Papadima
Solvable groups with a given solvable length, and minimal composition length, Stephen P. Glasby