Digital Commons Network^™

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

Leah A. Nillas

Recursion, Infinity, And Modeling, Lawrence Stout, Hans-Jorg Tiede

Lawrence N. Stout

Hauser, Chomsky, and Fitch (2002) claim that a core property of the human language faculty is recursion and that this property "yields discrete infinity" (2002: 1571) of natural languages. On the other hand, recursion is often motivated by the observation that there are infinitely many sentences that should be generated by a finite number of rules. It should be obvious that one cannot pursue both arguments simultaneously, on pain of circularity. The main aim of this paper is to clarify both conceptually and methodologically the relationship between recursion and infinity in language. We want to argue that discrete infinity is …

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, Stan Wagon

Stan Wagon, Retired

No abstract provided.

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 …

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

William F. Trench

No abstract provided.