Very recently, the current authors developed a method of extracting rates of metastability (as defined by Tao) from convergence proofs in nonlinear analysis that are based on Banach limits and so (for all that is known) rely on the axiom of choice. In this paper, we apply this method to ...
Computational contentConstructive set theoryFinite binary treeInductive generationAs a fairly frequent form of the Axiom of Choice about relatively simple structures (posets), Hausdorff's Maximal Chain Principle appears to be little amenable to computational interpretation. This received view, however, ...
Similar content being viewed by others Gröbner Basis and Its Applications Chapter © 2014 Examples and Exercises Chapter © 2013 Computation of Gröbner Bases Chapter © 2013 Keywords Abstract algebra Algebra Algebraic structure Finite Morphism Vector space axiom of choice equation ...
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ISEA1 and ISEA2 used sets of rules in the form of axioms for determiningCELLaction based onCELLneighbor type and configuration. Each simulation cycle, eachCELLassessed the current arrangement of neighbors, selected the corresponding axiom, and then executed that axiom's action. By adhering strictly...
First, the axiom that "does most of the work" is (5). Intuitively, given any natural number k ∈ N that we can generate starting from the original input x ∈ N, the Bounded Recursion axiom lets us set up a "computational process" that runs for log2 k steps. Second, the role of ...
Luce, R. D. (1977). The choice axiom after twenty years.Journal of Mathematical Psychology,15(3), 215–233. ArticleGoogle Scholar Malt, B. C., & Smith, E. E. (1984). Correlated properties in natural categories.Journal of Verbal Learning and Verbal Behavior,23(2), 250–269. ...
The construction method produces the only known infinite class of symmetric geometric 7-configurations, the second known infinite class of symmetric geometric 6-configurations, and the only known 6-configurations with chiral symmetry. Similar content being viewed by others Geometric Constructions for ...
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Your privacy, your choice We use essential cookies to make sure the site can function. We also use optional cookies for advertising, personalisation of content, usage analysis, and social media. By accepting optional cookies, you consent to the processing of your personal data - including ...