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Recent questions tagged kenneth-rosen
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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
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4
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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.
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kenneth-rosen
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2
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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.
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kenneth-rosen
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1
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1
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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.
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Apr 14, 2016
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2
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1
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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. $p \rightarrow q$ $\neg q \leftrightarrow r$ ... $(p \rightarrow \neg r) \vee (q \rightarrow \neg r)$ $(p \wedge q) \vee (\neg q \wedge r)$
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kenneth-rosen
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3
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1
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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.
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Apr 14, 2016
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17.2k
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2
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1
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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. $\neg p$ $p \vee q$ $\neg p \wedge q$ $q \rightarrow p$ ... $\neg p \rightarrow \neg q$ $p \leftrightarrow q$ $\neg q \vee (\neg p \wedge q)$
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Apr 14, 2016
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2
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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. $\neg q$ $p \wedge q$ ... $\neg p \rightarrow \neg q$ $p \leftrightarrow \neg q$ $\neg p \wedge (p \vee \neg q)$
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4
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1
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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. $\neg p$ $p \vee q$ $p \rightarrow q$ $p \wedge q$ $p \leftrightarrow q$ $\neg p \rightarrow \neg q$ $\neg p \wedge \neg q$ $\neg p \vee (p \wedge q)$
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Apr 13, 2016
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kenneth-rosen
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2
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1
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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.
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Apr 13, 2016
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6.0k
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kenneth-rosen
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8
votes
1
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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.
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Apr 13, 2016
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5
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2
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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.
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3
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3
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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.
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Apr 13, 2016
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5
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1
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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.
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Apr 13, 2016
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4
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1
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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. $2^n \geq 100$
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Apr 13, 2016
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3
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1
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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
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Apr 12, 2016
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kenneth-rosen
mathematical-logic
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1
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1
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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?
Hira Thakur
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Graph Theory
Nov 21, 2015
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