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The Pigeonhole Principle is the statement that there is no one-to-one map of a set of size n into a set of size n 1.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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writable variables, height increasing basis, arithmetic circuit family, combinatorial operator, tiered functions, polynomial time subset, basic feasible functionals, tally representation, polynomial modulus, polynomial time basis, intersecting parts, combinatorial polynomial, time vector space, computable real functions, intersecting classes, dependence algorithm, theoretic algebra, recursively isomorphic, parallel complexity classes, polynomial time functions, bounded arithmetic, minimal partitions, tally sets, combinatorial function, log space
Key Phrases - Capitalized Phrases (CAPs):
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University of Toronto, Daniel Leivant, New York, Symbolic Logic, Contemporary Mathematics, Philosophy of Science, Gaisi Takeuti, Marek Zaionc, North Holland, Proof Outline, System Sci, End End Figure, Geometry of Interaction, London Math, Theory of Computing
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