Key Phrases - Statistically Improbable Phrases (SIPs):
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generating functions, recurrence relations, handshake theorem, planar graphs, sleepy hare, intransitive verb adverb, main inner loops, generalized pigeonhole principle, bracketed symbols, edge chromatic number, assume the inductive hypothesis, nonisomorphic trees, given recurrence relation, ternary strings, solving recurrence relations, resulting directed graph, symmetric closure, outermost operator, next permutation, computer algebra package, nth month, recursive part, prenex form, writing these essays, decreasing subsequence
Key Phrases - Capitalized Phrases (CAPs):
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Writing Project, The Foundations, Advanced Counting Techniques, Mathematical Reasoning, New York, The Fundamentals, San Francisco, Modeling Computation, Boolean Algebra, Finite-State Machines, Los Angeles, Term String, Kevin Bacon, Mathematical Reviews, Fundamental Theorem of Arithmetic, Recursive Definitions, Methods of Proof, The Basics of Counting, Step Reason, New Jersey, Closures of Relations, Probability Theory, Kuratowski's Theorem, Applications of Number Theory, Partial Orderings
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