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vitfil [10]
3 years ago
7

Consider Statement 1: All prime numbers greater than 3 are equal to a multiple of six, plus 1 or minus 1. Let P(x) be the statem

ent "x is a prime number." Let Q(x) be the statement "x is greater than 3." Let R(x) be the statement "x % 6 = 1 or x % 6 = 5." (i.e. x is a multiple of 6, plus or minus 1)
Let U be the domain of x. (% represents the modulo operation in this question.)

a. Given the following definitions of U, translate the above statement into an expression of predicate logic.

i. U = all prime numbers greater than 3.

ii. U = all prime numbers.

iii. U = all positive integers.
Computers and Technology
1 answer:
LUCKY_DIMON [66]3 years ago
3 0

Answer:

Explanation: P(x): Prime number; Q(x): Prime number greater than 3; R(x): Positive integer and U(x): All prime numbers

i) {∀x) (Q(x) ⇒  (U(x)}

ii) {∀x) (P(x) ⇒ (U(x)}

iii) {∀x) (R(x) ⇒(U(x)}  

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Which is a real-world example of a procedure?
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Answer:

Go out to get some milk

Explanation:

Almost anything we do in life is framed in a procedure, from making popcorn, to driving a car, to pay for the bus, to go out to get some milk, but we don't think about those in everyday life, because we are so used to them that we do them instinctively. Anything that implies doing specific actions in a specific order to obtain a specific result.

Procedure to get milk

Verify if you wear appropriate clothes to go outside

   - If not, dress properly

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More obvious examples could be the fire emergency procedure or the pre-lift off check list for a plane.

3 0
2 years ago
Which of the following topics should you avoid bringing up during a college interview?
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Harry Potter and his friends are at Ollivander's with Ron, finally replacing Charlie's old broken wand. Hermione decides the bes
Step2247 [10]

Answer:

SELECT a.id, ab.age, b.min_coins_needed, b.power

FROM(SELECT code, power, min(coins_needed) AS min_coins_needed

 from Wands

 group by power, code) AS b

JOIN Wands wa

 ON a.coins_needed = b.min_coins_needed AND a.code = b.code AND a.power = b.power

JOIN Wands_property AS ab  

 ON a.code = ab.code  

WHERE ab.is_evil = 0          

ORDER BY b.power desc, ab.age DESC;              

Explanation:  

SELECT statement is used to select the columns id, age, coins_needed and power of the wands that Ron's interested in.

It is required to get the minimum coins_needed so, min() aggregate function is used to return the minimum value of coins_needed. So this is how minimum coins needed for wands with same age and power are attained and the resultant set is given the name of min_coins_needed  using alias. This is then grouped by code and power using GROUP BY because code and age has one to one mapping.

Next the JOIN is used to combine columns from two or more relations. Here Wands and Wands_property are joined to obtain id and age.

WHERE clause is used to filter the wands that are not evil.

ORDERED BY is used to sort in order of power and age, the result obtained. DESC is used to sort the result in descending order of power and age.

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2 years ago
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