Part of the Mathematics Commons

Works in Mathematics

2023

Constructing the Spectrum for Maximum Packings of Complete Graphs with Stars of Size Six, Zihan Nie
Honors Projects

2022

Stock Price Forecasting using a Dependence Structure, Paul Mucci
Honors Projects

Stock Price Forecasting using a Dependence Structure, Paul Mucci
Honors Projects

2020

On the Applications of the Girard-Waring Identities, Tian-Xiao He, Peter J.-S. Shiue
Tian-Xiao He

Decompositions of Complete Uniform Multipartite Hypergraphs, Patrick Ward
Honors Projects

PDF

Properties of the Fibonacci-Lucas Sequence Mod m, Amelia Hoffbeck
John Wesley Powell Student Research Conference

Recursive Sequences and Girard-Waring Identities with Applications, Minghao Chen, Zihan Nie
John Wesley Powell Student Research Conference

Decompositions of complete multipartite hypergraphs, Patrick Ward
John Wesley Powell Student Research Conference

Maximum Sk packing for λ-fold complete graph, Yutong Li, Panxi Chen
John Wesley Powell Student Research Conference

On total positivity of Riordan arrays, Yutong Li
John Wesley Powell Student Research Conference

A-sequences, Z-sequence, and B-sequences of Riordan matrices, Tian-Xiao He
Tian-Xiao He

2019

Divisibility of Generalized Catalan Numbers and Raney Numbers, Tian-Xiao He, Jacob Bobrowski, Peter J.-S. Shiue
Tian-Xiao He

2018

A Unified Approach for the Catalan Matrices by Using Riordan Arrays, Tian-Xiao He, Yan-Ni Dong, Sheng-liang Yang, Yan-Xue Xu
Tian-Xiao He

Permanents of Tridiagonal and Hessenberg Matrices Representing Recursive Number and Polynomial Sequences, Tian-Xiao He, Ximing Dong
Tian-Xiao He

Sequence Characterizations of Double Riordan Arrays and Their Compressions, Tian-Xiao He
Tian-Xiao He

Algebraic Structures on Riordan Groups, Yuanziyi Zhang
Honors Projects

2017

Some Matrix Identities on Colored Motzkin Paths, Tian-Xiao He, Sheng-liang Yang, Yan-Ni Dong
Tian-Xiao He

New Implementations for Tabulating Pseudoprimes and Liars, Wuyang Liu
Honors Projects

PDF

(m, r)-CENTRAL RIORDAN ARRAYS AND THEIR APPLICATIONS, Tian-Xiao He, Sheng-liang Yang, Yan-Xue Xu
Tian-Xiao He

Double Riordan Arrays and Their Compressions, Fourth International Symposium, on Riordan Arrays and Related Topics, Tian-Xiao He
Tian-Xiao He

Riordan Arrays and Double Riordan Arrays, Tian-Xiao He
Tian-Xiao He

Permanents of Tridiagonal and Hessenberg Matrices Representing Recursive Number and Polynomial Sequences, Ximing Dong, Tian-Xiao He, Faculty Advisor
John Wesley Powell Student Research Conference

PDF

Tabulation of Strong Pseudoprimes, Tony Liu, Andrew Shallue, Faculty Advisor
John Wesley Powell Student Research Conference

PDF

Exploring Multigraph Pairs of IKn, William O'Conner, Daniel Roberts, Faculty Advisor
John Wesley Powell Student Research Conference

PDF

Counting Multigraph Pairs of λKn, William A. O'Connor
Honors Projects

Bivariate Spline Functions by Using Barycentric Coordinates over Irregular Triangulation, Rui Jiang
Honors Projects

A Unified Approach to Construct a Class of Daubechies Orthogonal Scaling Functions, Tian-Xiao He, Tung Nguyen
Tian-Xiao He

Duals of the Bernoulli Numbers and polynomials and the Euler numbers and polynomials, Tian-Xiao He, Jinze Zheng
Tian-Xiao He

2016

Application of Polynomial Interpolation in the Chinese Remainder Problem, Tian-Xiao He, S. Macdonald, P. J.-S. Shiue
Tian-Xiao He

PDF

Generalized Catalan Numbers and Their Properties, Yuanziyi Zhang, Tian-Xiao He, Faculty Advisor
John Wesley Powell Student Research Conference

PDF

c7 and C7 Complement Multidecomposition of Kn, Hang Phung, Daniel Roberts, Faculty Advisor
John Wesley Powell Student Research Conference

PDF

Duals of Bernoulli Numbers and Polynomials and Euler Numbers and Polynomials, Jinze Zheng, Tian-Xiao He, Faculty Advisor
John Wesley Powell Student Research Conference

PDF

Multidesigns for a Graph Pair of Order 6, Yizhe Gao, Daniel Roberts, Faculty Advisor
John Wesley Powell Student Research Conference

PDF

Multidecomposition of Complete Directed Graphs Into Directed Graph Pairs of Order 3 and 4, Jacob Henry, Daniel Roberts, Faculty Advisor
John Wesley Powell Student Research Conference

PDF

Bivariate Barycentric-Coordinate Berstein-Bezier Polynomial & C1 Quadratic Vertex Spline, Rui Jiang, Tian-Xiao He, Faculty Advisor
John Wesley Powell Student Research Conference

PDF

Integer Antimagic Labeling for Cycle with One Chord, Jinze Zheng, Daniel Roberts, Faculty Advisor
John Wesley Powell Student Research Conference

PDF

Decomposition of complete directed graphs into directed graph pairs of order 3 and 4, Jacob Henry
Honors Projects

Multidecomposition and multipacking of complete graph into graph pair of order 6, Yizhe Gao
Honors Projects

Tabulating pseudoprimes and tabulating liars, Andrew Shallue
Scholarship

PDF

2015

Row Sums and Alternating Sums of Riordan Arrays, Tian-Xiao He, Louis W. Shapiro
Tian-Xiao He

PDF

Shift Operators Defined in the Riordan Group and Their Applications, Tian-Xiao He
Tian-Xiao He

PDF

Applications of Riordan matrix functions to Bernoulli and Euler polynomials, Tian-Xiao He
Tian-Xiao He

PDF

Tabulating pseudoprimes and tabulating liars, Andrew Shallue
Andrew Shallue

PDF

Two Rosa-type Labelings of Uniform k-distant Trees and a New Class of Trees, Kimberly Wenger Diller
Honors Projects

PDF

Construction of Spline Type Orthogonal Scaling Functions and Wavelets, Tung Nguyen
Honors Projects

PDF

A Computational Study of Icart's Function, Andrew Shallue, Thomas Simmons, '15
Andrew Shallue

A Computational Study of Icart's Function, Andrew Shallue, Thomas Simmons, '15
Scholarship

Group-Antimagic Labeling of a Class of Graphs, Jinze Zheng, Daniel Roberts, Faculty Advisor
John Wesley Powell Student Research Conference

A Computational Study of Icart's Function, Thomas Simmons, Andrew Shallue, Faculty Advisor
John Wesley Powell Student Research Conference

Multidecompositions of Complete Graphs into a Graph Pair of Order 6, Yizhe Gao, Mark Daniel Roberts, Faculty Advisor
John Wesley Powell Student Research Conference

PDF

An α-Labeling Walked into a Complete Graph…, Kimberly Wenger Diller, Daniel Roberts, Faculty Advisor
John Wesley Powell Student Research Conference

A Computational Study of Icart's Function, Thomas Simmons
Honors Projects

PDF

2014

Convexity of Spherical Bernstein-B´ezier Patches and Circular Bernstein-B´ezier Curves, Tian-Xiao He, Ram Mohapatray
Tian-Xiao He

PDF

Application of Fa´a Di Bruno’s Formula in the Construction of Combinatorial Identities, Tian-Xiao He
Tian-Xiao He

PDF

Asymptotic Expansions and Computation of Generalized Stirling Numbers and Generalized Stirling Functions, Tian-Xiao He
Tian-Xiao He

PDF

Asymptotic Expansions and Computation of Generalized Stirling Numbers and Generalized Stirling Functions, Tian-Xiao He
Scholarship

PDF

Composite Dilation Wavelets with High Degrees, Tian-Xiao He
Tian-Xiao He

PDF

Composite Dilation Wavelets with High Degrees, Tian-Xiao He
Scholarship

PDF

Simmons' Research Aims to Improve Function for Online Security, Danielle Kamp
News and Events

PDF

Hoijer '15 Studies Correlations Between Mathematics and Music, Danielle Kamp
News and Events

PDF

Dao Selected for Economics Research Fellowship, Hannah Dhue
News and Events

PDF

Enumeration Problems for a Linear Congruence Equation, Tian-Xiao He, Wun-Seng Chou, Peter Shiue
Scholarship

Polynomials that have Golden Ratio Zeros, Tian-Xiao He, Jack Maier, Kurt Vanness
Scholarship

Constructing Carmichael numbers through improved subset-product algorithms, W.R. Alford, Jon Grantham, Steven Hayman, Andrew Shallue
Scholarship

PDF

On an Extension of Riordan Array and its Application in the Construction of Convolution-type and Abel-type Identities, Tian-Xiao He, Leetsch Hsu, Xing Ron Ma
Scholarship

PDF

Hyperbolic Expressions of Polynomial Sequences and Parametric Number Sequences Defined by Linear Recurrence Relations of Order 2, Tian-Xiao He, Peter Shiue, Tsui-Wei Weng
Scholarship

PDF

Enumeration Problems for a Linear Congruence Equation, Tian-Xiao He, Wun-Seng Chou, Peter Shiue
Tian-Xiao He

2013

Hyperbolic Expressions of Polynomial Sequences and Parametric Number Sequences Defined by Linear Recurrence Relations of Order 2, Tian-Xiao He, Peter J.-S. Shiue, Tsui-Wei Weng
Tian-Xiao He

PDF

Constructing Carmichael numbers through improved subset-product algorithms, W.R. Alford, Jon Grantham, Steven Hayman, Andrew Shallue
Andrew Shallue

PDF

On an Extension of Riordan Array and its Application in the Construction of Convolution-type and Abel-type Identities, Tian-Xiao He, Leetsch Hsu, Xing Ron Ma
Tian-Xiao He

PDF

Polynomials that have Golden Ratio Zeros, Tian-Xiao He, Jack Maier, Kurt Vanness
Tian-Xiao He

Characterization of (c)-Riordan arrays, Gegenbauer-Humbert-type Polynomial Sequences, and (c)-Bell Polynomials, Tian-Xiao He, Henry Gould
Scholarship

Characterization of (c)-Riordan arrays, Gegenbauer-Humbert-type Polynomial Sequences, and (c)-Bell Polynomials, Tian-Xiao He, Henry Gould
Tian-Xiao He

Nguyen ’15 Places In Putnam Competition, Natalya Grabavoy
News and Events

PDF

Frames and Spline Framelets, Tung Nguyen, Nahee Kim, Tian-Xiao He, Faculty Advisor
John Wesley Powell Student Research Conference

PDF

Analyzing and Extending an Infeasibility Analysis Algorithm, Ammar Malik, Mark Lifiton, Faculty Advisor
John Wesley Powell Student Research Conference

The Coefficient Characterization of Polynomials with Golden Ratio Roots, Kurt VanNess, Tian-Xiao He, Faculty Advisor, Jack Maier, Advisor
John Wesley Powell Student Research Conference

A Look at Multi-Decompositions of Complete Graphs into Graph Pairs of Order 4, Yizhe Gao, Daniel Roberts, Faculty Advisor
John Wesley Powell Student Research Conference

PDF

Parametric Catalan Numbers and Catalan Triangles, Tian-Xiao He
Scholarship

PDF

Q-analogues of Symbolic Operators, Tian-Xiao He, Michael Dancs
Scholarship

Impulse Response Sequences and Construction of Number Sequence Identities, Tian-Xiao He
Scholarship

Expression and Computation of Generalized Stirling Numbers, Tian-Xiao He
Scholarship

PDF

Schroder Matrix as Inverse of Delannoy Matrix, Tian-Xiao He, Sheng-liang Yang, Sai-nan Zheng, Shao-peng Yuan
Scholarship

PDF

On the Construction of Number Sequence Identities, Tian-Xiao He, Wun-Seng Chou
Scholarship

Parametric Catalan Numbers and Catalan Triangles, Tian-Xiao He
Tian-Xiao He

PDF

2012

Information Literacy in the Discipline, Mellon Grant for Math 310 partnership with D. Roberts, Crystal Boyce, Daniel Roberts
Crystal Boyce

PDF

Information Literacy in the Discipline, Mellon Grant for Math 405 partnership with A. Shallue, Crystal Boyce, Andrew Shallue
Crystal Boyce

PDF

Schroder Matrix as Inverse of Delannoy Matrix, Tian-Xiao He, Sheng-liang Yang, Sai-nan Zheng, Shao-peng Yuan
Tian-Xiao He

PDF

Expression and Computation of Generalized Stirling Numbers, Tian-Xiao He
Tian-Xiao He

PDF

On the Construction of Number Sequence Identities, Tian-Xiao He, Wun-Seng Chou
Tian-Xiao He

Q-analogues of Symbolic Operators, Tian-Xiao He, Michael Dancs
Tian-Xiao He

Adding It Up: In his teaching and research, Math Professor Tian-Xiao He embraces the joy of exploring an oft-feared subject, Kim Hill
Tian-Xiao He

Impulse Response Sequences and Construction of Number Sequence Identities, Tian-Xiao He
Tian-Xiao He

A Unified Approach to Generalized Stirling Functions, Tian-Xiao He
Scholarship

PDF

A Unified Approach to Generalized Stirling Functions, Tian-Xiao He
Tian-Xiao He

PDF

The Characterization of Riordan Arrays and Sheffer-type Polynomial Sequences, Tian-Xiao He
Scholarship

PDF

The Characterization of Riordan Arrays and Sheffer-type Polynomial Sequences, Tian-Xiao He
Tian-Xiao He

PDF

Activities in the Mathematics Classroom that Promote Mathematical Fluency, Sevasti Tagaris, '12
Leah A. Nillas

Testing Irreducibility of Trinomials over GF(2), Steven Hayman
Honors Projects

PDF

A Note on Horner's Method, Tian-Xiao He, P. J.-S. Shiue
Scholarship

PDF

Eulerian Polynomials and B-Splines, Tian-Xiao He
Scholarship

PDF

2011

Fuss-Catalan Matrices and Their Weighted Sums, Tian-Xiao He, Louis Shapiro
Tian-Xiao He

Mathematics Program Self-Study, Mathematics Faculty, Illinois Wesleyan University
Criterion Three: Student Learning & Effective Teaching

PDF

Eulerian Polynomials and B-Splines, Tian-Xiao He
Tian-Xiao He

PDF

A Note on Horner's Method, Tian-Xiao He, P. J.-S. Shiue
Tian-Xiao He

PDF

Constructing Large Numbers with Cheap Computers, Andrew Shallue, Steven Hayman
Andrew Shallue

PDF

Constructing Large Numbers with Cheap Computers, Andrew Shallue, Steven Hayman
Scholarship

PDF

How to Study Mathematics, Lawrence N. Stout
Lawrence N. Stout

PDF

Sequences of Numbers Meet the Generalized Gegenbauer-Humbert Polynomials, Tian-Xiao He, Peter Shiue, Tsui-Wei Weng
Scholarship

Sequences of Numbers Meet the Generalized Gegenbauer-Humbert Polynomials, Tian-Xiao He, Peter J.-S. Shiue, Tsui-Wei Weng
Tian-Xiao He

Characterizations of Orthogonal Generalized Gegenbauer-Humbert Polynomials and Orthogonal Sheffer-type Polynomials, Tian-Xiao He
Scholarship

PDF

Sequences of Non-Gegenbauer-Humbert Polynomials Meet the Generalized Gegenbauer-Humbert Polynomials, Tian-Xiao He, Peter Shiue
Scholarship

Some Dense Subsets of Real Numbers and their Applications, Tian-Xiao He, Peter Shiue, Xiaoya Zha
Scholarship

Linear Algebra, Lawrence Stout
Lawrence N. Stout

PDF

Linear Algebra, Lawrence Stout
Scholarship

PDF

Generalized Exponential Euler Polynomials and Exponential Splines, Tian-Xiao He
Tian-Xiao He

Generalized Exponential Euler Polynomials and Exponential Splines, Tian-Xiao He
Scholarship

B-Coloring of Regular Graphs, Taole Zhu, Josh Brown-Kramer, Faculty Advisor
John Wesley Powell Student Research Conference

PDF

Sequences of Non-Gegenbauer-Humbert Polynomials Meet the Generalized Gegenbauer-Humbert Polynomials, Tian-Xiao He, Peter Shiue
Tian-Xiao He

Characterizations of Orthogonal Generalized Gegenbauer-Humbert Polynomials and Orthogonal Sheffer-type Polynomials, Tian-Xiao He
Tian-Xiao He

PDF

Some Dense Subsets of Real Numbers and their Applications, Tian-Xiao He, Peter Shiue, Xiaoya Zha
Tian-Xiao He

Generalized Stirling Numbers and Generalized Stirling Functions, Tian-Xiao He
Tian-Xiao He

Riordan arrays associated with Laurent series and generalized Sheffer-type groups, Tian-Xiao He
Scholarship

PDF

Generalized Zeta Functions, Tian-Xiao He
Scholarship

Lesson Study: A Collaborative Process of Improving Instruction and Facilitating Students' Motivation, Danielle Wall, Ben Dombroski
Leah A. Nillas

Shying Away from Questioning: Discourse and Participation in Mathematics Classrooms, Sarah Wilson
Leah A. Nillas

Using Vocabulary to Enhance the Understanding of Mathematics as a Language, Jennifer Monaco
Leah A. Nillas

Implementing Group Interactions to Encourage Peer Teaching, Social Relationships, and Collaborative Problem Solving in Mathematics Classroom, Jessica Madigan
Leah A. Nillas

Being Smart about Smartboards: A Technological Pedagogical and Content Knowledge (TPACK) Analysis, Katie Dietrich
Leah A. Nillas

Improving Students' Retention of Mathematics and Science Concepts: The Case of Two Teaching Experiments, Kristina Bennett, Stephanie Ross
Leah A. Nillas

2010

Riordan arrays associated with Laurent series and generalized Sheffer-type groups, Tian-Xiao He
Tian-Xiao He

PDF

Generalized Zeta Functions, Tian-Xiao He
Tian-Xiao He

Technology Integration in Secondary Mathematics Classrooms: Effect on Students’ Understanding, Megan Sheehan, Leah Nillas
Scholarly Publications

PDF

Technology Integration in Secondary Mathematics Classrooms: Effect on Students’ Understanding, Megan Sheehan, Leah A. Nillas
Leah A. Nillas

PDF

Fraction Operations: Pre-service Teachers’ Misconceptions and Perceptions about Problem Solving, Leah Nillas
Scholarly Publications

CHARACTERIZING PRESERVICE TEACHERS’ MATHEMATICAL UNDERSTANDING OF ALGEBRAIC RELATIONSHIPS, Leah Nillas
Scholarly Publications

Fraction Operations: Pre-service Teachers’ Misconceptions and Perceptions about Problem Solving, Leah A. Nillas
Leah A. Nillas

TI-NSpire CAS: An Interactive Overview: A Technology Lounge Presentation, Leah Nillas
Scholarly Publications

TI-NSpire CAS: An Interactive Overview: A Technology Lounge Presentation, Leah A. Nillas
Leah A. Nillas

Characterizing Preservice Teachers’ Mathematical Understanding of Algebraic Relationships, Leah A. Nillas
Leah A. Nillas

Boundary Type Quadrature Formulas Over Axially Symmetric Regions, Tian-Xiao He
Scholarship

PDF

Boundary Type Quadrature Formulas Over Axially Symmetric Regions, Tian-Xiao He
Tian-Xiao He

PDF

M-Refinable Extensions of Real Valued Functions, John Meuser, Tian-Xiao He, Faculty Advisor
John Wesley Powell Student Research Conference

PDF

Exploring Geometry Using Cabri Jr. Geometry App, Leah Nillas
Scholarly Publications

Exploring Geometry Using Cabri Jr. Geometry App, Leah A. Nillas
Leah A. Nillas

When Does a Category Built on a Lattice with a Monoidal Structure have a Monoidal Structure?, Lawrence Stout
Scholarship

PDF

A Categorical Semantics for Fuzzy Predicate Logic, Lawrence Stout
Scholarship

PDF

Categorical Approaches to Non-Commutative Fuzzy Logic, Lawrence Stout
Scholarship

PDF

Recursion, Infinity, and Modeling, Lawrence Stout, Hans-Jorg Tiede
Scholarship

Effective Questioning Techniques in the Mathematics Classroom, Amy VanDerVoorn, '10
Leah A. Nillas

The Impacts of Integrated Teaching in the Elementary Classroom, Carrie Williams, '12
Leah A. Nillas

Let's Talk Physics: Utilizing Language to Improve Understanding, Bobby Zoeller, '10
Leah A. Nillas

Improving Writing Skills of Low-Income High School Students, Andrew Tobin, '10
Leah A. Nillas

Aiding Students Understanding of History through a Thematic Approach, Brian Schaeffer, '10
Leah A. Nillas

The Impact of Afterschool Programs in Low-Income Communities, Juliana Sainati, '10
Leah A. Nillas

Role Drills in the Learning of Mathematical Concepts, Jessica Pang, '10
Leah A. Nillas

Supporting Native Language Literacy and Culture Among Hispanic High School Students, Kari Monegato, '10
Leah A. Nillas

Methods to Engage Students in Their Mathematical Learning Experience, Mari Mermelstein, '10, Elizabeth Sinclair, '10
Leah A. Nillas

Facilitating Student's Math Understanding through Small Group Work, Ellen Ho, '10
Leah A. Nillas

The Impact of Motivation in the High School Spanish Classroom, Gina Manson, '10
Leah A. Nillas

Effective Methods for Teaching Vocabulary in Geometry, Christy Engel, '10
Leah A. Nillas

Beyond DIBELS: Adding Comprehension Questions to a Fluency Based Reading Test, Cathy Gembara, '10
Leah A. Nillas

2009

A Categorical Semantics for Fuzzy Predicate Logic, Lawrence N. Stout
Lawrence N. Stout

PDF

Categorical Approaches to Non-Commutative Fuzzy Logic, Lawrence Stout
Lawrence N. Stout

PDF

Recursion, Infinity, and Modeling, Lawrence Stout, Hans-Jorg Tiede
Lawrence N. Stout

When Does a Category Built on a Lattice with a Monoidal Structure have a Monoidal Structure?, Lawrence Stout
Lawrence N. Stout

PDF

A Pair of Operator Summation Formulas and Their Applications, Tian-Xiao He, Leetsch Hsu, Dongsheng Yin
Scholarship

PDF

Wiki: Writing in Math Made Easy, Leah Nillas
Scholarly Publications

Wiki: Writing in Math Made Easy, Leah A. Nillas
Leah A. Nillas

On Sequences of Numbers and Polynomials Defined by Linear Recurrence Relations of Order 2, Tian-Xiao He, Peter Shiue
Scholarship

PDF

A Pair of Operator Summation Formulas and Their Applications, Tian-Xiao He, Leetsch C. Hsu, Dongsheng Yin
Tian-Xiao He

PDF

On Sequences of Numbers and Polynomials Defined by Linear Recurrence Relations of Order 2, Tian-Xiao He, Peter J.-S. Shiue
Tian-Xiao He

PDF

Sequence Characterization of Riordan Arrays, Tian-Xiao He, Renzo Sprugnoli
Scholarship

PDF

Paradigms for Non-classical Substitutions, Lawrence Stout, P. Eklund, M. Galan, J. Kortelainen
Scholarship

Sequence Characterization of Riordan Arrays, Tian-Xiao He, Renzo Sprugnoli
Tian-Xiao He

PDF

Motivation: Helping Students Succeed in the High School Mathematics Classroom, Caroline Leighton
Leah A. Nillas

Taking the MAD out of Science: Understanding the Reasons Behind Students’ Perceptions, Regina Calebrese, Stephanie Zimny
Leah A. Nillas

The Effects of Mathematical Activities on Students’ Performance, Crystal Penn
Leah A. Nillas

M2: Mathematical Manipulatives Effects on Learning Geometry, Lisa Ligmanowski, Emily Sawyer
Leah A. Nillas

Teaching with Technology: Transforming How We Teach Mathematics, Leah Nillas
Scholarly Publications

Teaching with Technology: Transforming How We Teach Mathematics, Leah A. Nillas
Leah A. Nillas

Paradigms for Non-classical Substitutions, Lawrence Stout, P. Eklund, M. Galan, J. Kortelainen
Lawrence N. Stout

The Impact of Extracurricular Activities on High School Students’ Academic Success, Nicholas Cooprider
Leah A. Nillas

Breaking Language Barriers: Connections between Foreign Language and English Language Arts, Lauren Booth, '09
Leah A. Nillas

Basic Math Skills: Can High School Students Do the Math?, Samantha Sebastian
Leah A. Nillas

Faculty Colloquium Examines “Applied Modal Logic”, Heather Lindquist ’09
News and Events

PDF

Characterization of Compactly Supported Renable Splines with Integer Matrix, Tian-Xiao He, Yujing Guana
Scholarship

PDF

2008

Modern Novels: How to Make them More Relevant to High School Students, David Wendler, '09
Leah A. Nillas

Characterization of Compactly Supported Renable Splines with Integer Matrix, Tian-Xiao He, Yujing Guana
Tian-Xiao He

PDF

A Symbolic Operator Approach to Power Series Transformation-Expansion Formulas, Tian-Xiao He
Scholarship

A Symbolic Operator Approach to Power Series Transformation-Expansion Formulas, Tian-Xiao He
Tian-Xiao He

An Improved Multi-Set Algorithm for the Dense Subset Sum Problem, Andrew Shallue
Scholarship

PDF

Technology Use in Secondary Mathematics Classes: How It Affects Students' Understanding*, Megan Sheehan
Leah A. Nillas

Understanding Geometric Proof Various Ways of Teaching It, Michael Duback
Leah A. Nillas

An Improved Multi-Set Algorithm for the Dense Subset Sum Problem, Andrew Shallue
Andrew Shallue

PDF

Reading Rainbow: Assessing Effectiveness in Literacy Technology, Liz Russ, Erin Meehan
Leah A. Nillas

Motivation in Secondary Mathematics: How Lesson Structure Impacts Student Engagement, Vicki Beata
Leah A. Nillas

A symbolic operator approach to several summation formulas for power series II, Tian-Xiao He, Peter Shiue, L. C. Hsu
Scholarship

PDF

Padé Spline Functions, Tian-Xiao He
Scholarship

PDF

Inessential Features, Ineliminable Features, and Modal Logics for Model Theoretic Syntax, Hans Joerg Tiede
Hans Joerg Tiede

A symbolic operator approach to several summation formulas for power series II, Tian-Xiao He, Peter J.S. Shiue, L. C. Hsu
Tian-Xiao He

2007

Padé Spline Functions, Tian-Xiao He
Tian-Xiao He

PDF

Math Matters: Benefits and Strategies for Incorporating Mathematics into a History Classroom, Alaina Bianchi
Leah A. Nillas

Integrating Research in Pedagogical Content Knowledge and Practice, Leah Nillas
Scholarly Publications

Integrating Research in Pedagogical Content Knowledge and Practice, Leah A. Nillas
Leah A. Nillas

The Sheffer Group and the Riordan Group, Tian-Xiao He, Peter Shiue, Leetsch Hsu
Scholarship

PDF

Two Number-Theoretic Problems That Illustrate the Power and Limitations of Randomness, Andrew Shallue
Scholarship

PDF

Construction of Biorthogonal B-spline Type Wavelet Sequences with Certain Regularities, Tian-Xiao He
Scholarship

PDF

Fourier transform of Bernstein–Bézier polynomials, Tian-Xiao He, Charles Chui, Qingtang Jiang
Scholarship

PDF

Symbolization of generating functions; an application of the Mullin–Rota theory of binomial enumeration, Tian-Xiao He, Peter s, Leetsch Hsu
Scholarship

PDF

Applications of Modal Logic in Linguistics, Lawrence Moss, Hans Joerg Tiede
Hans Joerg Tiede

2006

The Sheffer Group and the Riordan Group, Tian-Xiao He, Peter J.S. Shiue, Leetsch C. Hsu
Tian-Xiao He

PDF

Construction of Biorthogonal B-spline Type Wavelet Sequences with Certain Regularities, Tian-Xiao He
Tian-Xiao He

PDF

Two Number-Theoretic Problems That Illustrate the Power and Limitations of Randomness, Andrew Shallue
Andrew Shallue

PDF

Fourier transform of Bernstein–Bézier polynomials, Tian-Xiao He, Charles K. Chui, Qingtang Jiang
Tian-Xiao He

PDF

Symbolization of generating functions; an application of the Mullin–Rota theory of binomial enumeration, Tian-Xiao He, Peter J.S. s, Leetsch C. Hsu
Tian-Xiao He

PDF

Sequences, Series, and Function Approximation, Lawrence Stout
Lawrence N. Stout

PDF

Ready Or Not: Are teachers and students prepared to embrace writing in mathematics?, Katie Navin, Katie Wesolik
Leah A. Nillas

Hands-on Mathematics: Does it affect student achievement?, Megan McCarthy
Leah A. Nillas

Are children being left behind? The Effects of SES and Learning Styles on Academic Achievement, Kristy Lehan, Megan Teschner
Leah A. Nillas

Reading Between the Lines: The Impact of Multicultural Literature on Children’s Perceptions of People of Different Cultures, Sara Lockman
Leah A. Nillas

On the Generalized Möbius Inversion Formulas, Tian-Xiao He, Peter Shiue3, Leetsch Hsu
Scholarship

PDF

Numerical approximation to ζ(2n+1), Tian-Xiao He, Michael Dancs
Scholarship

PDF

Multivariate Expansion Associated with Sheffer-type Polynomials and Operators, Tian-Xiao He, Leetsch Hsu, Peter Shiue
Scholarship

PDF

Construction of Rational Points on Elliptic Curves over Finite Fields, Andrew Shallue, Christiaan van de Woestijne
Scholarship

PDF

On the Convergence of the Summation Formulas Constructed by Using a Symbolic Operator Approach, Tian-Xiao He, Leetsch Hsu, Peter Shiue
Scholarship

PDF

An Euler-type formula for ζ(2k +1), Tian-Xiao He, Michael Dancs
Scholarship

PDF

2005

An Euler-Type Formula for Zeta (2k+1), Tian-Xiao He
Tian-Xiao He

An Euler-type formula for ζ(2k +1), Tian-Xiao He, Michael J. Dancs
Tian-Xiao He

PDF

On the Generalized Möbius Inversion Formulas, Tian-Xiao He, Peter J. S. Shiue3, Leetsch C. Hsu
Tian-Xiao He

PDF

Numerical approximation to ζ(2n+1), Tian-Xiao He, Michael J. Dancs
Tian-Xiao He

PDF

On the Convergence of the Summation Formulas Constructed by Using a Symbolic Operator Approach, Tian-Xiao He, Leetsch C. Hsu, Peter J.-S. Shiue
Tian-Xiao He

PDF

Construction of Rational Points on Elliptic Curves over Finite Fields, Andrew Shallue, Christiaan E. van de Woestijne
Andrew Shallue

PDF

Multivariate Expansion Associated with Sheffer-type Polynomials and Operators, Tian-Xiao He, Leetsch Hsu, Peter Shiue
Tian-Xiao He

PDF

A Pair of General Series-Transformation Formulas, Tian-Xiao He, Leetsch Hsu, Peter Shiue
Scholarship

A Pair of General Series-Transformation Formulas, Tian-Xiao He, Leetsch Hsu, Peter Shiue
Tian-Xiao He

If F(x) =∫x2x f(t) dt Is Constant, Must f(t) = c/t ?, Tian-Xiao He
Scholarship

Math, Methods, and Multiple Intelligences, Patricia Setchell
Leah A. Nillas

Classroom Calculator Use: How does it all add up?, Eric .. Sala
Leah A. Nillas

Teaching Styles: Which one will you choose?, Patrick Fischer, Hannah Meharry
Leah A. Nillas

If F(x) =∫x2x f(t) dt Is Constant, Must f(t) = c/t ?, Tian-Xiao He
Tian-Xiao He

KEYS to Successful Learning, Michael J. White, '09, Leah A. Nillas
Leah A. Nillas

MRA Frame Wavelets with Certain Regularities Associated with the Refinable Generators of Shift Invariant Spaces, Tian-Xiao He
Scholarship

On an Extension of Abel-Gontscharoff's Expansion Formula, Tian-Xiao He, Leetsch Hsu, Peter Shiue
Scholarship

PDF

A Symbolic Operator Approach to Several Summation Formulas for Power Series, Tian-Xiao He, Leetsch Hsu, Peter Shiue, D. Torney
Scholarship

PDF

2004

On an Extension of Abel-Gontscharoff's Expansion Formula, Tian-Xiao He, Leetsch C. Hsu, Peter J.-S. Shiue
Tian-Xiao He

PDF

A Symbolic Operator Approach to Several Summation Formulas for Power Series, Tian-Xiao He, Leetsch Hsu, Peter Shiue, D. Torney
Tian-Xiao He

PDF

MRA Frame Wavelets with Certain Regularities Associated with the Refinable Generators of Shift Invariant Spaces, Tian-Xiao He
Tian-Xiao He

On Multivariate Abel-Gontscharoff Interpolation, Tian-Xiao He
Scholarship

PDF

Biorthogonal Spline Type Wavelets, Tian-Xiao He
Scholarship

2003

On Multivariate Abel-Gontscharoff Interpolation, Tian-Xiao He
Tian-Xiao He

PDF

Biorthogonal Spline Type Wavelets, Tian-Xiao He
Tian-Xiao He

Preservice Teachers Strategies and Understanding in Division of Fractions., Leah Nillas
Scholarly Publications

Preservice Teachers Strategies and Understanding in Division of Fractions., Leah A. Nillas
Leah A. Nillas

Open Problems from the Linz2000 Closing Session, Lawrence Stout
Scholarship

PDF

Boundary-type quadrature and boundary element method, Tian-Xiao He
Scholarship

On Abel-Gontscharoff-Gould's polynomials, Tian-Xiao He, Leetsch Hsu, Peter Shiue
Scholarship

PDF

Proof Theory and Formal Grammars - Applications of Normalization, Hans Joerg Tiede
Hans Joerg Tiede

2002

Open Problems from the Linz2000 Closing Session, Lawrence N. Stout
Lawrence N. Stout

PDF

Boundary-type quadrature and boundary element method, Tian-Xiao He
Tian-Xiao He

On Abel-Gontscharoff-Gould's polynomials, Tian-Xiao He, Leetsch Hsu, Peter Shiue
Tian-Xiao He

PDF

Dimensionality-Reducing Expansion, Boundary Type Quadrature Formulas, and the Boundary Element Method, Tian-Xiao He
Scholarship

PDF

Stable Refinable Generators of Shift Invariant Spaces with Certain Regularities and Vanishing Moments, Tian-Xiao He
Scholarship

Analysis, Combinatorics and Computing, Tian-Xiao He, Peter J.S. Shiue, Zhongkai Li
IWU Authors Bookshelf

Proof Tree Automata, Hans Joerg Tiede
Hans Joerg Tiede

2001

Dimensionality-Reducing Expansion, Boundary Type Quadrature Formulas, and the Boundary Element Method, Tian-Xiao He
Tian-Xiao He

PDF

Stable Refinable Generators of Shift Invariant Spaces with Certain Regularities and Vanishing Moments, Tian-Xiao He
Tian-Xiao He

Finiteness Notions in Fuzzy Sets, Lawrence Stout
Lawrence N. Stout

PDF

Finiteness Notions in Fuzzy Sets, Lawrence Stout
Scholarship

PDF

Biorthogonal Wavelets with Certain Regularities, Tian-Xiao He
Scholarship

Dimensionality Reducing Expansion of Multivariate Integration, Tian-Xiao He
IWU Authors Bookshelf

Lambek Calculus Proofs and Tree Automata, Hans Joerg Tiede
Hans Joerg Tiede

2000

Biorthogonal Wavelets with Certain Regularities, Tian-Xiao He
Tian-Xiao He

Biorthogonal Wavelets with Certain Regularities, Tian-Xiao He
Tian-Xiao He

Biorthogonal Wavelets with Certain Regularities, Tian-Xiao He
Tian-Xiao He

Wavelet Analysis and Multiresolution Methods (Lecture Notes in Pure and Applied Mathematics), Tian-Xiao He
IWU Authors Bookshelf

LaSalle's Invariance Principle on Measure Chains, Anders Floor '00
Honors Projects

PDF

C1 Quadratic Macroelements and C1 Orthogonal Multiresolution Analyses in 2D, Tian-Xiao He
Scholarship

Boundary quadrature formulas and their applications, Tian-Xiao He
Scholarship

A Brief Biography of Professor L.C. Hsu (Lizhi Xu), Tian-Xiao He
Scholarship

PDF

1999

A Brief Biography of Professor L.C. Hsu (Lizhi Xu), Tian-Xiao He
Tian-Xiao He

PDF

C1 Quadratic Macroelements and C1 Orthogonal Multiresolution Analyses in 2D, Tian-Xiao He
Tian-Xiao He

Boundary quadrature formulas and their applications, Tian-Xiao He
Tian-Xiao He

Designing an Integrated Environment for Artificial Intelligence, Andrew B. Ritger '99
Honors Projects

PDF

Counting the Number of Proofs in the Commutative Lambek Calculus, Hans Joerg Tiede
Hans Joerg Tiede

1998

Short Time Fourier Transform, Integral Wavelet Transform, and Wavelet Functions Associated with Splines, Tian-Xiao He
Scholarship

1997

Short Time Fourier Transform, Integral Wavelet Transform, and Wavelet Functions Associated with Splines, Tian-Xiao He
Tian-Xiao He

Steiner Trees Over Generalized Checkerboards, Meta M. Voelker '97
Honors Projects

PDF

1996

The B-spline Wavelet Recurrence Relation and B-spline Wavelet Interpolation, Patrick J. Crowley '96
Honors Projects

PDF

Macroelements and Orthogonal Multiresolutional Analysis, Jonathan M. Corbett '96
Honors Projects

PDF

1995

Shape Criteria of Bernstein-Bezier Polynomials over Simplexes, Tian-Xiao He
Scholarship

Categories of Fuzzy Sets with Values in a Quantale or Projectale, Lawrence Stout
Lawrence N. Stout

Categories of Fuzzy Sets with Values in a Quantale or Projectale, Lawrence Stout
Scholarship

1994

Shape Criteria of Bernstein-Bezier Polynomials over Simplexes, Tian-Xiao He
Tian-Xiao He

The Recurrence Relation of B-Wavelets, Rumi Kumazawa '94
Honors Projects

PDF

1993

Multisurface Method of Pattern Separation, Jennifer L. Jancik
Honors Projects

PDF

Applications of the Wavelet Transform to Signal Analysis, Jie Chen '93
Honors Projects

PDF

1992

On the Construction of Prime Desert n-Tuplets, Derek M. Marusarz '92
Honors Projects

PDF

The Logic of Unbalanced Subobjects in a Category with Two Closed Structures, Lawrence Stout
Scholarship

1991

The Logic of Unbalanced Subobjects in a Category with Two Closed Structures, Lawrence Stout
Lawrence N. Stout