ECEN601_hw1_pfister

ECEN601_hw1_pfister - ECEN 601: Assignment 1 Reading...

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ECEN 601: Assignment 1 Reading Assignment: 1. Chapter 1: Logic and Set Theory, pages 1–18; Problems: 1. Which of the following expressions are statements? (a) Today is a nice day. (b) Go to sleep. (c) Is it going to snow tomorrow? (d) The U.S. has 49 states. (e) I like to eat fruit, and you often think about traveling to Spain. (f) If we go out tonight, the babysitter will be unhappy. (g) Call me on Thursday if you are home. 2. Let X = “I am happy,” let Y = “I am watching a movie” and Z = “I am eating spaghetti.” Translate the following statements into words. (a) Z X . (b) X Y . (c) ( Y Z ) X . (d) Y ( Z X ). (e) ( Y → ¬ X ) ( Z → ¬ X ). (f) ( X ∧¬ Y ) ( Y Z ). 3. Let E = “The house is blue,” let F = “The house is 30 years old” and G = “The house is ugly.” Translate the following statements into symbols. (a) If the house is 30 years old, then it is ugly. (b) If the house is blue, then it is ugly or it is 30 years old.
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ECEN601_hw1_pfister - ECEN 601: Assignment 1 Reading...

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