15. Even though we will normally use "implies" and "if ..... then... " to describe implication, other word orders and phrases often arise in practice, as in the examples below. Let p, q, and r be the propositions p = "the flag is set," q="1=0," r = "subroutine S is completed." Translate each of the following propositions into sym- bols, using the letters p, q, and r and the logical connec- tives. (a) If the flag je set, then = 0. (b) Subroutine S is completed if the flag is set. (c) The flag is set if subroutine is not completed. (d) Whenever I = 0, the flag is set. (e) Subroutine S is completed only if I = 0. (f) Subroutine S is completed only if I = 0 or the flag is set.
15. Even though we will normally use "implies" and "if ..... then... " to describe implication, other word orders and phrases often arise in practice, as in the examples below. Let p, q, and r be the propositions p = "the flag is set," q="1=0," r = "subroutine S is completed." Translate each of the following propositions into sym- bols, using the letters p, q, and r and the logical connec- tives. (a) If the flag je set, then = 0. (b) Subroutine S is completed if the flag is set. (c) The flag is set if subroutine is not completed. (d) Whenever I = 0, the flag is set. (e) Subroutine S is completed only if I = 0. (f) Subroutine S is completed only if I = 0 or the flag is set.
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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Question
Transcribed Image Text:15. Even though we will normally use "implies" and "if .....
then... " to describe implication, other word orders and
phrases often arise in practice, as in the examples below.
Let p, q, and r be the propositions
p = "the flag is set,"
q="1=0,"
r = "subroutine S is completed."
Translate each of the following propositions into sym-
bols, using the letters p, q, and r and the logical connec-
tives.
(a) If the flag je set, then = 0.
(b) Subroutine S is completed if the flag is set.
(c) The flag is set if subroutine is not completed.
(d) Whenever I = 0, the flag is set.
(e) Subroutine S is completed only if / = 0.
(f) Subroutine S is completed only if I = 0 or the flag
is set.
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Step 1
Translate each of the following propositions into symbols , using the letters p, q and r and the logical connectives .
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