Counting Interesting Elections, 2009 Valparaiso University

#### Counting Interesting Elections, Lara Pudwell, Eric Rowland

*Lara K. Pudwell*

No abstract provided.

List Coloring And N-Monophilic Graphs, 2009 Occidental College

#### List Coloring And N-Monophilic Graphs, Ramin Naimi, Radoslav Kirov

*Ramin Naimi*

In 1990, Kostochka and Sidorenko proposed studying the smallest number of list-colorings of a graph G among all assignments of lists of a given size n to its vertices. We say a graph G is n-monophilic if this number is minimized when identical n-color lists are assigned to all vertices of G. Kostochka and Sidorenko observed that all chordal graphs are n-monophilic for all n. Donner (1992) showed that every graph is n-monophilic for all suﬃciently large n. We prove that all cycles are n-monophilic for all n; we give a complete characterization of 2-monophilic graphs (which turns out to …

Mathematica In Action: Problem-Solving Through Visualization And Computation, 2009 Macalester College

#### Mathematica In Action: Problem-Solving Through Visualization And Computation, Stan Wagon

*Stan Wagon, Retired*

No abstract provided.

Stacking Blocks And Counting Permutations, 2009 Valparaiso University

#### Stacking Blocks And Counting Permutations, Lara Pudwell

*Lara K. Pudwell*

No abstract provided.

Categorical Approaches To Non-Commutative Fuzzy Logic, 2009 Illinois Wesleyan University

#### Categorical Approaches To Non-Commutative Fuzzy Logic, Lawrence Stout

*Lawrence N. Stout*

In this paper we consider what it means for a logic to be non-commutative, how to generate examples of structures with a non-commutative operation * which have enough nice properties to serve as the truth values for a logic. Inference in the propositional logic is gotten from the categorical properties (products, coproducts, monoidal and closed structures, adjoint functors) of the categories of truth values. We then show how to extend this view of propositional logic to a predicate logic using categories of propositions about a type A with functors giving change of type and adjoints giving quantifiers. In the case …

College Algebra In Context With Applications To The Managerial, Life, And Social Sciences, 2009 University of South Carolina - Beaufort

#### College Algebra In Context With Applications To The Managerial, Life, And Social Sciences, Ronald Harshbarger, Lisa Yocco

*Lisa S. Yocco*

Harshbarger/Yocco’s College Algebra in Context with Applications for the Managerial, Life, and Social Sciences, Third Edition uses modeling and real-data problems to develop the skills that students will need for their future courses and careers. Applications anticipate the math that students will encounter in their professional lives, giving them the practice they need to become adept problem-solvers. Every chapter begins with the Algebra Toolbox, which reviews the skills and concepts necessary to master the material ahead. This new full-color edition offers a greater number of technology tips, and the content has been reorganized to accommodate a wide range of course …

A Categorical Semantics For Fuzzy Predicate Logic, 2009 Illinois Wesleyan University

#### A Categorical Semantics For Fuzzy Predicate Logic, Lawrence N. Stout

*Lawrence N. Stout*

The object of this study is to look at categorical approaches to many valued logic, both propositional and predicate, to see how different logical properties result from different parts of the situation. In particular, the relationship between the categorical fabric I introduced at Linz in 2004 and the Fuzzy Logics studied by Hajek (2003) [5], Esteva et al. (2003) [1], and Hajek (1998) [4], comes from restricting the kind of structures used for truth values. We see how the structure of the various kinds of algebras shows up in the categorical logic, giving a variant on natural deduction for these …

Spectral Decomposition Of Kac-Murdock-Szego Matrices, 2009 Trinity University

#### Spectral Decomposition Of Kac-Murdock-Szego Matrices, William F. Trench

*William F. Trench*

No abstract provided.

Characterization And Properties Of Matrices With $K$-Involutory Symmetries Ii, 2009 Trinity University

#### Characterization And Properties Of Matrices With $K$-Involutory Symmetries Ii, William F. Trench

*William F. Trench*

No abstract provided.

The 1905 Einstein Equation In A General Mathematical Analysis Model Of Quasars, 2009 DePaul University and Columbia College Chicago

#### The 1905 Einstein Equation In A General Mathematical Analysis Model Of Quasars, Byron E. Bell

*Byron E. Bell*

No abstract provided.