91 92 93 94 95 A₁ A2 A3 A4 0 1 1 1 1 1 1 0 0 0 0 1 1 1 1 (a) A5 0 1 0 1 1 1 0 0 0 0 S₁ S₂ S3 91 10 20 0 92 5 0 10 93 0 35 5 94 0 10 0 95 0 15 0 (b)
91 92 93 94 95 A₁ A2 A3 A4 0 1 1 1 1 1 1 0 0 0 0 1 1 1 1 (a) A5 0 1 0 1 1 1 0 0 0 0 S₁ S₂ S3 91 10 20 0 92 5 0 10 93 0 35 5 94 0 10 0 95 0 15 0 (b)
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
Related questions
Question
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Let Q ={q1,...,q5} be a set of queries, A ={A1,..., A5} be a set of attributes, and S ={S1,S2,S3} be a set of sites. The matrix of Fig. 2.25a describes the attribute usage values and the matrix of Fig. 2.25b gives the application access frequencies. Assume that refi(qk) =1forall qk and Si and that A1 is the key attribute. Use the bond energy and vertical partitioning
![**Exercise: Attribute Affinity Matrix (AA) Fill-in**
**Objective:**
Complete the blanks to form the attribute affinity matrix (AA) based on Problem 2.6 in the textbook. Each blank must be filled with a numeric value without any spaces.
**Matrix Structure:**
| | A1 | A2 | A3 | A4 | A5 |
|-----|----|----|----|----|----|
| A1 | - | a | b | c | d |
| A2 | e | - | f | g | h |
| A3 | p | q | - | r | s |
| A4 | t | u | v | - | w |
| A5 | x | y | z | k | - |
**Fill in the following:**
- a = [type your answer...]
- b = [type your answer...]
- c = [type your answer...]
- d = [type your answer...]
- e = [type your answer...]
- f = [type your answer...]
- g = [type your answer...]
- h = [type your answer...]
- p = [type your answer...]
- q = [type your answer...]
- r = [type your answer...]
- s = [type your answer...]
- t = [type your answer...]
- u = [type your answer...]
- v = [type your answer...]
- w = [type your answer...]
- x = [type your answer...]
- y = [type your answer...]
- z = [type your answer...]
- k = [type your answer...]
**Instructions:**
Fill in each box with the appropriate numeric value to complete the matrix accurately as described in your textbook's Problem 2.6. Avoid using any blank spaces in your numeric entries.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F507f2087-e7b0-4dbf-b5ff-e186e46d868e%2Fb5a90f01-2c58-4d5e-af3a-886446833594%2Fx6bmvn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Exercise: Attribute Affinity Matrix (AA) Fill-in**
**Objective:**
Complete the blanks to form the attribute affinity matrix (AA) based on Problem 2.6 in the textbook. Each blank must be filled with a numeric value without any spaces.
**Matrix Structure:**
| | A1 | A2 | A3 | A4 | A5 |
|-----|----|----|----|----|----|
| A1 | - | a | b | c | d |
| A2 | e | - | f | g | h |
| A3 | p | q | - | r | s |
| A4 | t | u | v | - | w |
| A5 | x | y | z | k | - |
**Fill in the following:**
- a = [type your answer...]
- b = [type your answer...]
- c = [type your answer...]
- d = [type your answer...]
- e = [type your answer...]
- f = [type your answer...]
- g = [type your answer...]
- h = [type your answer...]
- p = [type your answer...]
- q = [type your answer...]
- r = [type your answer...]
- s = [type your answer...]
- t = [type your answer...]
- u = [type your answer...]
- v = [type your answer...]
- w = [type your answer...]
- x = [type your answer...]
- y = [type your answer...]
- z = [type your answer...]
- k = [type your answer...]
**Instructions:**
Fill in each box with the appropriate numeric value to complete the matrix accurately as described in your textbook's Problem 2.6. Avoid using any blank spaces in your numeric entries.
![### Educational Resource: Matrix Representation
#### Figure (a): Incidence Matrix
The matrix in Figure (a) is an incidence matrix that displays the relationship between sets of elements, \( A_1, A_2, A_3, A_4, A_5 \), and \( q_1, q_2, q_3, q_4, q_5 \). Each row represents a different element \( q_i \), and each column represents an element \( A_j \). A value of '1' indicates the presence of a relationship between the corresponding elements, and '0' indicates no relationship.
- **Row \( q_1 \):** \( A_2, A_3, A_5 \)
- **Row \( q_2 \):** \( A_1, A_3, A_5 \)
- **Row \( q_3 \):** \( A_2, A_4 \)
- **Row \( q_4 \):** \( A_3 \)
- **Row \( q_5 \):** \( A_1, A_2, A_3 \)
#### Figure (b): Transaction Matrix
The matrix in Figure (b) represents a transaction matrix showing interactions or values (\( S_1, S_2, S_3 \)) across different entities \( q_1, q_2, q_3, q_4, q_5 \). Each entry provides a quantitative representation of the relation.
- **Row \( q_1 \):** \( S_1 = 10 \), \( S_2 = 20 \), \( S_3 = 0 \)
- **Row \( q_2 \):** \( S_1 = 5 \), \( S_2 = 0 \), \( S_3 = 10 \)
- **Row \( q_3 \):** \( S_1 = 0 \), \( S_2 = 35 \), \( S_3 = 5 \)
- **Row \( q_4 \):** \( S_1 = 0 \), \( S_2 = 10 \), \( S_3 = 0 \)
- **Row \( q_5 \):** \( S_1 = 0 \), \( S_2 = 15 \), \( S_3 = 0 \)
This matrix can represent various scenarios](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F507f2087-e7b0-4dbf-b5ff-e186e46d868e%2Fb5a90f01-2c58-4d5e-af3a-886446833594%2Fyk3ams_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Educational Resource: Matrix Representation
#### Figure (a): Incidence Matrix
The matrix in Figure (a) is an incidence matrix that displays the relationship between sets of elements, \( A_1, A_2, A_3, A_4, A_5 \), and \( q_1, q_2, q_3, q_4, q_5 \). Each row represents a different element \( q_i \), and each column represents an element \( A_j \). A value of '1' indicates the presence of a relationship between the corresponding elements, and '0' indicates no relationship.
- **Row \( q_1 \):** \( A_2, A_3, A_5 \)
- **Row \( q_2 \):** \( A_1, A_3, A_5 \)
- **Row \( q_3 \):** \( A_2, A_4 \)
- **Row \( q_4 \):** \( A_3 \)
- **Row \( q_5 \):** \( A_1, A_2, A_3 \)
#### Figure (b): Transaction Matrix
The matrix in Figure (b) represents a transaction matrix showing interactions or values (\( S_1, S_2, S_3 \)) across different entities \( q_1, q_2, q_3, q_4, q_5 \). Each entry provides a quantitative representation of the relation.
- **Row \( q_1 \):** \( S_1 = 10 \), \( S_2 = 20 \), \( S_3 = 0 \)
- **Row \( q_2 \):** \( S_1 = 5 \), \( S_2 = 0 \), \( S_3 = 10 \)
- **Row \( q_3 \):** \( S_1 = 0 \), \( S_2 = 35 \), \( S_3 = 5 \)
- **Row \( q_4 \):** \( S_1 = 0 \), \( S_2 = 10 \), \( S_3 = 0 \)
- **Row \( q_5 \):** \( S_1 = 0 \), \( S_2 = 15 \), \( S_3 = 0 \)
This matrix can represent various scenarios
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