Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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True/False: (a) Phrase structure grammars can be used to check the meaning of a sentence ----- 3 (b) All Turing machine programs eventually halt (c) It's possible to write a Turing Machine program to multiple two binary numbers ----- (d) If a graph has an Euler Circuit then it also has an Euler path (e) State machines can be used to recognize strings that belong to a language (f) Dijkstra's Algorithm can solve the Traveling Salesperson problem in polynomial time ----- (g) We can determine the number of edges in an undirected graph knowing the degree of each vertex (h) The Pigeonhole Principle tells us how many ways we can place objects into boxes (i) Pascal's Triangle can be used to calculate powers of 2 (j) In attempting a proof by mathematical induction, it's sometimes possible to prove the inductive step even if the base case is false
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Transcribed Image Text:True/False: (a) Phrase structure grammars can be used to check the meaning of a sentence ----- 3 (b) All Turing machine programs eventually halt (c) It's possible to write a Turing Machine program to multiple two binary numbers ----- (d) If a graph has an Euler Circuit then it also has an Euler path (e) State machines can be used to recognize strings that belong to a language (f) Dijkstra's Algorithm can solve the Traveling Salesperson problem in polynomial time ----- (g) We can determine the number of edges in an undirected graph knowing the degree of each vertex (h) The Pigeonhole Principle tells us how many ways we can place objects into boxes (i) Pascal's Triangle can be used to calculate powers of 2 (j) In attempting a proof by mathematical induction, it's sometimes possible to prove the inductive step even if the base case is false
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