Recent questions in Discrete Mathematics / GATE Overflow for GATE CSE

3 votes

1 answer

5921

Kenneth Rosen Edition 6th Exercise 1.1 Question 24 (Page No. 19)
State the converse, contrapositive, and inverse of each of these conditional statements. If it snows tonight, then I will stay at home. I go to the beach whenever it is a sunny summer day. When I stay up late, it is necessary that I sleep until noon.

State the converse, contrapositive, and inverse of each of these conditional statements.If it snows tonight, then I will stay at home.I go to the beach whenever it is a s...

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13.8k views

go_editor asked Apr 14, 2016

2 votes

3 answers

5922

Kenneth Rosen Edition 6th Exercise 1.1 Question 23 (Page No. 18)
State the converse, contrapositive, and inverse of each of these conditional statements. If it snows today, I will ski tomorrow. I come to class whenever there is going to be a quiz. A positive integer is a prime only if it has no divisors other than 1 and itself.

State the converse, contrapositive, and inverse of each of these conditional statements.If it snows today, I will ski tomorrow.I come to class whenever there is going to ...

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11.3k views

go_editor asked Apr 14, 2016

3 votes

1 answer

5923

Kenneth Rosen Edition 6th Exercise 1.1 Question 22 (Page No. 18)
Write each of these propositions in the form p if and only if q in English. For you to get an A in this course, it is necessary and sufficient that you learn how to solve discrete mathematics problems. If you read the newspaper ... can see the wizard only if the wizard is not in, and the wizard is not in only if you can see him.

Write each of these propositions in the form “p if and only if q” in English.For you to get an A in this course, it is necessary and sufficient that you learn how to ...

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6.2k views

go_editor asked Apr 14, 2016

3 votes

1 answer

5924

Kenneth Rosen Edition 6th Exercise 1.1 Question 21 (Page No. 18)
Write each of these propositions in the form p if and only if q in English. If it is hot outside you buy an ice cream cone, and if you buy an ice cream cone it is hot outside. For you to win the contest it ... . If you watch television your mind will decay, and conversely. The trains run late on exactly those days when I take it.

Write each of these propositions in the form “p if and only if q” in English.If it is hot outside you buy an ice cream cone, and if you buy an ice cream cone it is ho...

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6.2k views

go_editor asked Apr 14, 2016

1 votes

2 answers

5925

Kenneth Rosen Edition 6th Exercise 1.1 Question 20 (Page No. 18)
Write each of these statements in the form if p, then q in English. [Hint: Refer to the list of common ways to express conditional statements] I will remember to send you the address only if you send me an e-mail ... have a valid password to log on to the server. You will reach the summit unless you begin your climb too late.

Write each of these statements in the form “if p, then q” in English. [Hint: Refer to the list of common ways to express conditional statements]I will remember to sen...

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9.4k views

go_editor asked Apr 14, 2016

3 votes

1 answer

5926

Kenneth Rosen Edition 6th Exercise 1.1 Question 19 (Page No. 18)
Write each of these statements in the form if p, then q in English. [Hint: Refer to the list of common ways to express conditional statements.] It snows whenever the wind blows from the northeast. The apple trees will bloom ... if you bought your CD player less than 90 days ago. Jan will go swimming unless the water is too cold.

Write each of these statements in the form “if p, then q” in English. [Hint: Refer to the list of common ways to express conditional statements.]It snows whenever the...

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6.9k views

go_editor asked Apr 14, 2016

4 votes

1 answer

5927

Kenneth Rosen Edition 6th Exercise 1.1 Question 18 (Page No. 18)
Write each of these statements in the form if p, then q in English. [Hint: Refer to the list of common ways to express conditional statements.] It is necessary to wash the boss's car to get promoted. Winds ... a subscription fee. Getting elected follows from knowing the right people. Carol gets seasick whenever she is on a boat.

Write each of these statements in the form “if p, then q” in English. [Hint: Refer to the list of common ways to express conditional statements.]It is necessary to wa...

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9.1k views

go_editor asked Apr 14, 2016

3 votes

2 answers

5928

Kenneth Rosen Edition 6th Exercise 1.1 Question 17 (Page No. 18)
For each of these sentences, state what the sentence means if the logical connective or is an inclusive or (that is, a disjunction) versus an exclusive or. Which of these meanings of or do you think is intended? To take discrete ... column B. School is closed if more than 2 feet of snow falls or if the wind chill is below −100.

For each of these sentences, state what the sentence means if the logical connective or is an inclusive or (that is, a disjunction) versus an exclusive or. Which of these...

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6.6k views

go_editor asked Apr 14, 2016

3 votes

3 answers

5929

Kenneth Rosen Edition 6th Exercise 1.1 Question 16 (Page No. 18)
For each of these sentences, determine whether an inclusive or, or an exclusive or, is intended. Explain your answer. Experience with C++ or Java is required. Lunch includes soup or salad. To enter the country you need a passport or a voter registration card. Publish or perish.

For each of these sentences, determine whether an inclusive or, or an exclusive or, is intended. Explain your answer.Experience with C++ or Java is required.Lunch include...

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8.5k views

go_editor asked Apr 14, 2016

5 votes

2 answers

5930

Kenneth Rosen Edition 6th Exercise 1.1 Question 15 (Page No. 18)
For each of these sentences, determine whether an inclusive or, or an exclusive or, is intended. Explain your answer. Coffee or tea comes with dinner. A password must have at least three digits or be at least eight characters long. ... is a course in number theory or a course in cryptography. You can pay using U.S. dollars or euros.

For each of these sentences, determine whether an inclusive or, or an exclusive or, is intended. Explain your answer.Coffee or tea comes with dinner.A password must have ...

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9.9k views

go_editor asked Apr 14, 2016

1 votes

1 answer

5931

Kenneth Rosen Edition 6th Exercise 1.1 Question 14 (Page No. 18)
Determine whether each of these conditional statements is true or false. If 1 + 1 = 3, then unicorns exist. If 1 + 1 = 3, then dogs can fly. If 1 + 1 = 2, then dogs can fly. If 2 + 2 = 4, then 1 + 2 = 3

Determine whether each of these conditional statements is true or false.If 1 + 1 = 3, then unicorns exist.If 1 + 1 = 3, then dogs can fly.If 1 + 1 = 2, then dogs can fly....

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7.8k views

go_editor asked Apr 14, 2016

1 votes

1 answer

5932

Kenneth Rosen Edition 6th Exercise 1.1 Question 13 (Page No. 17)
Determine whether each of these conditional statements is true or false. If 1 + 1 = 2, then 2 + 2 = 5. If 1 + 1 = 3, then 2 + 2 = 4. If 1 + 1 = 3, then 2 + 2 = 5. If monkeys can fly, then 1 + 1 = 3.

Determine whether each of these conditional statements is true or false.If 1 + 1 = 2, then 2 + 2 = 5.If 1 + 1 = 3, then 2 + 2 = 4.If 1 + 1 = 3, then 2 + 2 = 5.If monkeys ...

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8.0k views

go_editor asked Apr 14, 2016

2 votes

1 answer

5933

Kenneth Rosen Edition 6th Exercise 1.1 Question 12 (Page No. 17)
Determine whether these biconditionals are true or false. 2 + 2 = 4 if and only if 1 + 1 = 2. 1 + 1 = 2 if and only if 2 + 3 = 4. 1 + 1 = 3 if and only if monkeys can fly. 0 > 1 if and only if 2 > 1

Determine whether these biconditionals are true or false.2 + 2 = 4 if and only if 1 + 1 = 2.1 + 1 = 2 if and only if 2 + 3 = 4.1 + 1 = 3 if and only if monkeys can fly.0 ...

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4.0k views

go_editor asked Apr 14, 2016

4 votes

1 answer

5934

Kenneth Rosen Edition 6th Exercise 1.1 Question 11 (Page No. 17)
Let p, q, and r be the propositions p : Grizzly bears have been seen in the area. q : Hiking is safe on the trail. r : Berries are ripe along the trail. Write these propositions using p, q, and r and logical ... . Hiking is not safe on the trail whenever grizzly bears have been seen in the area and berries are ripe along the trail.

Let p, q, and r be the propositionsp : Grizzly bears have been seen in the area.q : Hiking is safe on the trail.r : Berries are ripe along the trail.Write these propositi...

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12.1k views

go_editor asked Apr 14, 2016

2 votes

1 answer

5935

Kenneth Rosen Edition 6th Exercise 1.1 Question 10 (Page No. 17)
Let p, q, and r be the propositions p : You get an A on the final exam. q : You do every exercise in this book. r : You get an A in this class. Write these propositions using p, q, and r and logical connectives (including ... get an A in this class if and only if you either do every exercise in this book or you get an A on the final.

Let p, q, and r be the propositionsp : You get an A on the final exam.q : You do every exercise in this book.r : You get an A in this class.Write these propositions using...

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8.3k views

go_editor asked Apr 14, 2016

1 votes

1 answer

5936

Kenneth Rosen Edition 6th Exercise 1.1 Question 9 (Page No. 17)
Let p and q be the propositions p : You drive over 65 miles per hour. q : You get a speeding ticket. Write these propositions using p and q and logical connectives (including negations). You do not drive over 65 miles per ... not drive over 65 miles per hour. Whenever you get a speeding ticket, you are driving over 65 miles per hour.

Let p and q be the propositionsp : You drive over 65 miles per hour.q : You get a speeding ticket.Write these propositions using p and q and logical connectives (includin...

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12.5k views

go_editor asked Apr 14, 2016

2 votes

1 answer

5937

Kenneth Rosen Edition 6th Exercise 1.1 Question 8 (Page No. 17)
Let p, q, and r be the propositions p : You have the flu. q : You miss the final examination. r : You pass the course. Express each of these propositions as an English sentence. $p \rightarrow q$ $\neg q \leftrightarrow r$ ... $(p \rightarrow \neg r) \vee (q \rightarrow \neg r)$ $(p \wedge q) \vee (\neg q \wedge r)$

Let p, q, and r be the propositionsp : You have the flu.q : You miss the final examination.r : You pass the course.Express each of these propositions as an English senten...

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7.5k views

go_editor asked Apr 14, 2016

3 votes

1 answer

5938

Kenneth Rosen Edition 6th Exercise 1.1 Question 7 (Page No. 17)
Let p and q be the propositions p : It is below freezing. q : It is snowing. Write these propositions using p and q and logical connectives (including negations). It is below freezing and snowing. It is below freezing ... not snowing if it is below freezing. That it is below freezing is necessary and sufficient for it to be snowing.

Let p and q be the propositionsp : It is below freezing.q : It is snowing.Write these propositions using p and q and logical connectives (including negations).It is below...

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17.6k views

go_editor asked Apr 14, 2016

2 votes

1 answer

5939

Kenneth Rosen Edition 6th Exercise 1.1 Question 6 (Page No. 17)
Let p and q be the propositions The election is decided and The votes have been counted, respectively. Express each of these compound propositions as an English sentence. $\neg p$ $p \vee q$ $\neg p \wedge q$ $q \rightarrow p$ ... $\neg p \rightarrow \neg q$ $p \leftrightarrow q$ $\neg q \vee (\neg p \wedge q)$

Let p and q be the propositions “The election is decided” and “The votes have been counted,” respectively. Express each of these compound propositions as an Engli...

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6.6k views

go_editor asked Apr 14, 2016

2 votes

1 answer

5940

Kenneth Rosen Edition 6th Exercise 1.1 Question 5 (Page No. 16)
Let p and q be the propositions Swimming at the New Jersey shore is allowed and Sharks have been spotted near the shore, respectively. Express each of these compound propositions as an English sentence. $\neg q$ $p \wedge q$ ... $\neg p \rightarrow \neg q$ $p \leftrightarrow \neg q$ $\neg p \wedge (p \vee \neg q)$

Let p and q be the propositions “Swimming at the New Jersey shore is allowed” and “Sharks have been spotted near the shore,” respectively. Express each of these c...

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7.0k views

go_editor asked Apr 14, 2016

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title	title:apple
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force match	+apple
views	views:100
score	score:10
answers	answers:2
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is closed	isclosed:true