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d. (pg) (pg) → (p^g) 13. Using the Peirce arrow or nor operator, pq, find equivalent expressions which use ONLY the nor operator for the following propositions: a.~p b. pvq c. p^q

d. (pg) (pg) → (p^g) 13. Using the Peirce arrow or nor operator, pq, find equivalent expressions which use ONLY the nor operator for the following propositions: a.~p b. pvq c. p^q

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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b. If today is Sunday, then I will attend my dancing classes. c. If it rains, then I will not go to the park. d. If it is hot outside, then you will buy an ice cream. e. If you read the newspaper every day, then you will be informed. 12. Using the Sheffer stroke, or NAND (not-and) operator, pq, show that the following are logically equivalent: a pla~(png) b. pp-p c. (pp) (qq) → (pvq) d. (pg) (pg) → (p^g) 13. Using the Peirce arrow or nor operator, pq, find equivalent expressions which use ONLY the nor operator for the following propositions: a.~p b. pv q c. p^q 52 | MATHEMATICS IN THE MODERN WORLD
Transcribed Image Text:b. If today is Sunday, then I will attend my dancing classes. c. If it rains, then I will not go to the park. d. If it is hot outside, then you will buy an ice cream. e. If you read the newspaper every day, then you will be informed. 12. Using the Sheffer stroke, or NAND (not-and) operator, pq, show that the following are logically equivalent: a pla~(png) b. pp-p c. (pp) (qq) → (pvq) d. (pg) (pg) → (p^g) 13. Using the Peirce arrow or nor operator, pq, find equivalent expressions which use ONLY the nor operator for the following propositions: a.~p b. pv q c. p^q 52 | MATHEMATICS IN THE MODERN WORLD
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