92 S. S. BROWN Algebraically Closed Fields 35 Algebraic Set 35 Atomic Formula 3 Bound Variable 3 Cauchy Sequence 34 Complete Set of Representatives 7 Completeness of Theory 3 Completion 34 Constant Symbol 3 Decision Procedure 4 Delimit 9 Discrete Valuation 33 First Order Language 3 Formula 3 Free Variable 3 Function Symbol 3 Hensel's Lemma 51 Holds in a Theory 3 Independent 39 Integers 13 Irreducible Algebraic Set 35 Irreducible Components 35 Language 3 Limitation of Quantifiers 5 Limited Quantifier 3 INDEX Matrix 3 Newton Polygon of a Polynomial 45 Newton Polygon of a Power Series 47 Nonarchemedian Valuation 33 p-adic Numbers 34 p-adic Valuation 33 Prenex Form 3 Quantifiers 3 Radius of Convergence 43 Radius of Dominance 43 Rank One 33 Rational Numbers 9 Real Numbers 27 Relation Symbol 3 Resultant 19 Residue Class Field 34 Residue Map 34 Satisfies 3 Statement 3 Structure 3 Term 3 Truth Value 3 Ultrametric 33 Uniformizing Parameter 73 Valuation 33
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