Symbol D Definition the set of all days the set of all weather conditions windy a constant in C sunny a constant in C rainy a constant in C snowy a constant in C Weekend(d) Holiday(d) Weather(d, c) “weather condition c occured on day d," where d e D and c e C "d is during a weekend," where d e D "d is during a holiday," where d e D Note: The set C contains more elements than just the four constants shown above. Using only these sets, constants, and predicates, the symbols = and +, and the standard propositional operators and quantifiers from lecture, translate each of the following English statements into predicate logic. Hint 1: Make sure to read the instructions on page 1, especially the “Additional instructions" at the bottom of the page.… .. Hint 2: Some of these statements are a little ambiguous and require careful consideration–think carefully about the different possible meaning, and which one is most likely. (a) It is always windy during holidays. (b) More than one weather condition occurs on some days. (c) There is no day during which every weather condition occurs.
Symbol D Definition the set of all days the set of all weather conditions windy a constant in C sunny a constant in C rainy a constant in C snowy a constant in C Weekend(d) Holiday(d) Weather(d, c) “weather condition c occured on day d," where d e D and c e C "d is during a weekend," where d e D "d is during a holiday," where d e D Note: The set C contains more elements than just the four constants shown above. Using only these sets, constants, and predicates, the symbols = and +, and the standard propositional operators and quantifiers from lecture, translate each of the following English statements into predicate logic. Hint 1: Make sure to read the instructions on page 1, especially the “Additional instructions" at the bottom of the page.… .. Hint 2: Some of these statements are a little ambiguous and require careful consideration–think carefully about the different possible meaning, and which one is most likely. (a) It is always windy during holidays. (b) More than one weather condition occurs on some days. (c) There is no day during which every weather condition occurs.
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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Transcribed Image Text:Symbol
Definition
D
the set of all days
C
the set of all weather conditions
windy
a constant in C
sunny
a constant in C
rainy
a constant in C
snowy
a constant in C
Weekend(d)
Holiday(d)
Weather(d, c)
"d is during a weekend," where d e D
"d is during a holiday," where d e D
"weather condition c occured on day d," where d e D and c E C
Note: The set C contains more elements than just the four constants shown above.
and +, and the standard propositional
Using
operators and quantifiers from lecture, translate each of the following English statements into predicate
logic.
only these sets, constants, and predicates, the symbols
Hint 1: Make sure to read the instructions on page 1, especially the "Additional instructions" at the
bottom of the page. . .
Hint 2: Some of these statements are a little ambiguous and require careful consideration-think carefully
about the different possible meaning, and which one is most likely.
(a) It is always windy during holidays.
(b) More than one weather condition occurs on some days.
(c) There is no day during which every weather condition occurs.
(d) At most two days were snowy.
(e) Some weekends are rainy, some are sunny.
(f) No holiday is both snowy and rainy.
(g) Every weekend has the same weather.
(h) No matter the weather condition, there is some holiday when it occurs.
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