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Morse Theory For C*-Algebras: A Geometric Interpretation Of Some Noncommutative Manifolds, Vida Milani, Ali Asghar Rezaei, Seyed M.H. Mansourbeigi Oct 2011

Morse Theory For C*-Algebras: A Geometric Interpretation Of Some Noncommutative Manifolds, Vida Milani, Ali Asghar Rezaei, Seyed M.H. Mansourbeigi

Computer Science Student Research

The approach we present is a modification of the Morse theory for unital C*-algebras. We provide tools for the geometric interpretation of noncommutative CW complexes. Some examples are given to illustrate these geometric information. The main object of this work is a classification of unital C*-algebras by noncommutative CW complexes and the modified Morse functions on them.


Collaborative Strategic Board Games As A Site For Distributed Computational Thinking, Matthew Berland, Victor R. Lee Apr 2011

Collaborative Strategic Board Games As A Site For Distributed Computational Thinking, Matthew Berland, Victor R. Lee

Instructional Technology and Learning Sciences Faculty Publications

This paper examines the idea that contemporary strategic board games represent an informal, interactional context in which complex computational thinking takes place. When games are collaborative – that is, a game requires that players work in joint pursuit of a shared goal – the computational thinking is easily observed as distributed across several participants. This raises the possibility that a focus on such board games are profitable for those who wish to understand computational thinking and learning in situ. This paper introduces a coding scheme, applies it to the recorded discourse of three groups of game players, and provides qualitative …