2 resultados para Monotone Iterations

em Brock University, Canada


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The Clemente Course in the Humanities is an anti-poverty intervention for adults who self-identity as "poor" and humanities instructors. The course was created in 1995 by journalist Earl Shorris, who based the curriculum on a Socratic method of pedagogy and the "great books" canon of Robert Hutchins. It began as a community-based initiative in urban US settings, but since 1997 Mayan, Yup'ik and Cherokee iterations have been created, as well as on-campus bridge courses for non-traditional students to explore college-level education in Canada and the USA. The course potentially conflicts with critical pedagogy because the critical theories of Paulo Freire and contemporary cultural studies reject traditional notions of both the canon and teaching. However, a comparison between Shorris' and bell hooks' theories of oppression reveals significant similarities between his "surround of force" and her "capitalist imperialist white supremacist patriarchy," with implications for liberal studies and critical pedagogy.

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One of the most important problems in the theory of cellular automata (CA) is determining the proportion of cells in a specific state after a given number of time iterations. We approach this problem using patterns in preimage sets - that is, the set of blocks which iterate to the desired output. This allows us to construct a response curve - a relationship between the proportion of cells in state 1 after niterations as a function of the initial proportion. We derive response curve formulae for many two-dimensional deterministic CA rules with L-neighbourhood. For all remaining rules, we find experimental response curves. We also use preimage sets to classify surjective rules. In the last part of the thesis, we consider a special class of one-dimensional probabilistic CA rules. We find response surface formula for these rules and experimental response surfaces for all remaining rules.