Recent questions tagged kenneth-rosen / GATE Overflow for GATE CSE

2 votes

1 answer

1141

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

1142

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

1143

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

1144

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

1145

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

1146

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

1147

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

1148

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

4 votes

1 answer

1149

Kenneth Rosen Edition 6th Exercise 1.1 Question 4 (Page No. 16)
Let p and q be the propositions p : I bought a lottery ticket this week. q : I won the million dollar jackpot. Express each of these propositions as an English sentence. $\neg p$ $p \vee q$ $p \rightarrow q$ $p \wedge q$ $p \leftrightarrow q$ $\neg p \rightarrow \neg q$ $\neg p \wedge \neg q$ $\neg p \vee (p \wedge q)$

Let p and q be the propositionsp : I bought a lottery ticket this week.q : I won the million dollar jackpot.Express each of these propositions as an English sentence.$\ne...

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9.8k views

go_editor asked Apr 13, 2016

2 votes

1 answer

1150

Kenneth Rosen Edition 7 Exercise 1.1 Question 7 (Page No. 13)
Suppose that during the most recent fiscal year, the annual revenue of Acme Computer was 138 billion dollars and its net profit was 8 billion dollars, the annual revenue of Nadir Software was 87 billion dollars and its net ... revenue. Nadir Software had the smallest net profit if and only if Acme Computer had the largest annual revenue.

Suppose that during the most recent fiscal year, the annual revenue of Acme Computer was 138 billion dollars and its net profit was 8 billion dollars, the annual revenue ...

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6.1k views

go_editor asked Apr 13, 2016

8 votes

1 answer

1151

Kenneth Rosen Edition 7 Exercise 1.1 Question 6 (Page No. 13)
Suppose that SmartphoneA has 256 MB RAM and 32 GB ROM, and the resolution of its camera is 8 MP; Smartphone B has 288 MB RAM and 64 GB ROM, and the resolution of its camera is 4 MP; and Smartphone C has 128 MB ... resolution camera. Smartphone A has more RAM than Smartphone B if and only if Smartphone B has more RAM than Smartphone A.

Suppose that SmartphoneA has 256 MB RAM and 32 GB ROM, and the resolution of its camera is 8 MP; Smartphone B has 288 MB RAM and 64 GB ROM, and the resolution of its came...

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13.5k views

go_editor asked Apr 13, 2016

5 votes

2 answers

1152

Kenneth Rosen Edition 7 Exercise 1.1 Question 5 (Page No. 13)
What is the negation of each of these propositions? Steve has more than 100 GB free disk space on his laptop. Zach blocks e-mails and texts from Jennifer. 7 · 11 · 13 = 999. Diane rode her bicycle 100 miles on Sunday.

What is the negation of each of these propositions?Steve has more than 100 GB free disk space on his laptop.Zach blocks e-mails and texts from Jennifer.7 · 11 · 13 = 99...

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6.1k views

go_editor asked Apr 13, 2016

3 votes

3 answers

1153

Kenneth Rosen Edition 7 Exercise 1.1 Question 4 (Page No. 12)
What is the negation of each of these propositions? Jennifer and Teja are friends. There are 13 items in a baker’s dozen. Abby sent more than 100 text messages every day. 121 is a perfect square.

What is the negation of each of these propositions?Jennifer and Teja are friends.There are 13 items in a baker’s dozen.Abby sent more than 100 text messages every day.1...

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13.2k views

go_editor asked Apr 13, 2016

5 votes

1 answer

1154

Kenneth Rosen Edition 7 Exercise 1.1 Question 3 (Page No. 12)
What is the negation of each of these propositions? Mei has an MP3 player. There is no pollution in New Jersey. 2 + 1 = 3. The summer in Maine is hot and sunny.

What is the negation of each of these propositions?Mei has an MP3 player.There is no pollution in New Jersey.2 + 1 = 3.The summer in Maine is hot and sunny.

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8.2k views

go_editor asked Apr 13, 2016

4 votes

1 answer

1155

Kenneth Rosen Edition 7 Exercise 1.1 Question 2 (Page No. 12)
Which of these are propositions?What are the truth values of those that are propositions? Do not pass go. What time is it? There are no black flies in Maine. 4 + x = 5. The moon is made of green cheese. $2^n \geq 100$

Which of these are propositions?What are the truth values of those that are propositions?Do not pass go.What time is it?There are no black flies in Maine.4 + x = 5.The mo...

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7.0k views

go_editor asked Apr 13, 2016

3 votes

1 answer

1156

Kenneth Rosen Edition 7 Exercise 1.1 Question 1 (Page No. 12)
Which of these sentences are propositions? What are the truth values of those that are propositions? Boston is the capital of Massachusetts. Miami is the capital of Florida. 2 + 3 = 5. 5 + 7 = 10. x + 2 = 11. Answer this question

Which of these sentences are propositions? What are the truth values of those that are propositions?Boston is the capital of Massachusetts.Miami is the capital of Florida...

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2.2k views

go_editor asked Apr 12, 2016

1 votes

1 answer

1157

Rosen 8.2.54.
If G is a simple graph with 15 edges and $\bar{G}$ has 13 edges, how many vertices does G have?

If G is a simple graph with 15 edges and $\bar{G}$ has 13 edges, how many vertices does G have?

Hira Thakur

4.5k views

Hira Thakur asked Nov 21, 2015

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force match	+apple
views	views:100
score	score:10
answers	answers:2
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