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H 9. Define a set S recursively as follows: I. BASE: 1 € S, 3 e S, 5 e S, 7 e S, 9 E S II. RECURSION: If s = S and tЄS then a. stЄ S c. 4s € S e. 8s € S b. 2s € S d. 6s € S III. RESTRICTION: Nothing is in S other than objects defined in I and II above. Use structural induction to prove that every string in S rep- resents an odd integer.

H 9. Define a set S recursively as follows: I. BASE: 1 € S, 3 e S, 5 e S, 7 e S, 9 E S II. RECURSION: If s = S and tЄS then a. stЄ S c. 4s € S e. 8s € S b. 2s € S d. 6s € S III. RESTRICTION: Nothing is in S other than objects defined in I and II above. Use structural induction to prove that every string in S rep- resents an odd integer.

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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H 9. Define a set S recursively as follows: I. BASE: 1 € S, 3 e S, 5 e S, 7 e S, 9 E S II. RECURSION: If s = S and tЄS then a. stЄ S c. 4s € S e. 8s € S b. 2s € S d. 6s € S III. RESTRICTION: Nothing is in S other than objects defined in I and II above. Use structural induction to prove that every string in S rep- resents an odd integer.
Transcribed Image Text:H 9. Define a set S recursively as follows: I. BASE: 1 € S, 3 e S, 5 e S, 7 e S, 9 E S II. RECURSION: If s = S and tЄS then a. stЄ S c. 4s € S e. 8s € S b. 2s € S d. 6s € S III. RESTRICTION: Nothing is in S other than objects defined in I and II above. Use structural induction to prove that every string in S rep- resents an odd integer.
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