3. Based on your reading, apply use the concept of set theory to answer the following questions.AabiedyUa. Define the following sets: U, A, B• U=• A=• B =b. Define A UB and AN B.• AUB =• ANB=c. Is A¢ B?d. Define A'• A'=e. What is the cardinality of A?n(A) =

U = {a,b,c,d,e,f,g,i,y,z} A = {a,b,c,d,e} B = {a,c,e,f,g,i} b. Define A ∪ B and A ∩ B A ∪ B =…

Answered: 3. Based on your reading, apply use the…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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ewrite the following proposition as unambiguous English sentences. The relevant redicates are defined as follows: Again, let's let P be a set of all people a. A(x) means "x is teaching the Al course" b. T(x) means "x is taking Al course" c. F(x) means "x has a twitter account." d. C(x) means "x likes to read."
Please answer the following question in depth with full detail. Consider the 8-puzzle that we discussed in class. Suppose we define a new heuristic function h3 which is the average of h1 and h2, and another heuristic function h4 which is the sum of h1 and h2. That is, for every state s ∈ S: h3(s) =h1(s) + h2(s) 2 h4(s) =h1(s) + h2(s) where h1 and h2 are defined as “the number of misplaced tiles”, and “the sum of the distances of the tiles from their goal positions”, respectively. Are h3 and h4 admissible? If admissible, compare their dominance with respect to h1 and h2, if not, provide a counterexample, i.e. a puzzle configuration where dominance does not hold.
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Rewrite the following proposition as unambiguous English sentences. The relevant predicates are defined as follows: Again, let’s let P be a set of all people A(x) means “x is teaching the AI course” T(x) means “x is taking AI course” F(x) means “x has a twitter account.” C(x) means “x likes to read.” For example, the proposition ∃x { P [A(x)∧ C(x)]} could be translated as “There is a person who is teaching and likes to read” P [T(x) → (F(x) C(x))] ?
In this question, you are asked to trace the Naïve Bayes algorithm for classification on some toy sentences, and then to consider some variants. The following five sentences are the training data: (the number in parentheses indicates the category that each sentence belongs to) The dog barked. (1)The mouse ran up the clock. (2)The dog ran away. (1)The collie dog barked. (1)A mouse ate the cheese. (2) The following three sentences are the test data: t1 = A dog barked loudly.t2 = The dachshund ran up the hill.t3 = The rodent nibbled the cheese. To which category does the algorithm assign each of the test sentences? Use Laplace smoothing (Add 1 smoothing). Please show your calculations and upload your solution copy .
I am a bit confused with how this would. prove part b sir/ma'am. Could I have an example of a home-wrecker, where changing the preference list of one man changes all the other stable pairs? Thanks!
Write proof to the following statements.(a) Given that (A ∪ B) ∩ B′ ⊆ C prove that 2A∩B′ ⊆ 2C .(b) Prove that (A′ ∪ (A ∩ C) ∪ (A ∩ C′)) ∩ (B′ ∩ (C′ ∪ B) ∪ (C ∪ B)) = U , where Udenotes the universal set?

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3. Based on your reading, apply use the concept of set theory to answer the following questions. A a b i e d y U a. Define the following sets: U, A, B • U= • A= • B = b. Define A UB and AN B. • AUB = • ANB= c. Is A¢ B? d. Define A' • A'= e. What is the cardinality of A? n(A) =