Let R be a relation on A = {0, 1, 6, 8} and R = {(0, 0), (8, 6), (6, 6), (8, 8), (1, 1), (1, 0), (0, 1)}. Are the following statements true or false? 1. R is symmetric ? ? ? ? ? ? V v 2. R is transitive 3. R is reflexive 4. R is an equivalence relation 5. R is anti-symmetric V 6. R is a partial order

Let R be a relation on A = {0, 1, 6, 8} and R = {(0, 0), (8, 6), (6, 6), (8, 8), (1, 1), (1, 0), (0, 1)}. Are the following statements true or false? 1. R is symmetric ? ? ? ? ? ? V v 2. R is transitive 3. R is reflexive 4. R is an equivalence relation 5. R is anti-symmetric V 6. R is a partial order

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

See similar textbooks

Similar questions

Let R₁ and R₂ be the relations on X={a,b,c}, R₁={ (b,a), (c,b), (a,c) } R₂={ (a,c), (b,c)} R₁-¹= R₂ ° R₁=
Suppose you were asked to define a class MetaDisplay in Java, containing amethod static void printTable(String r); the method takes a relation name r asinput, executes the query “select * from r”, and prints the result out in tabularformat, with the attribute names displayed in the header of the table. What JDBC methods(s) can get you the required information?t?
QUESTION 8 Is relation R on set of all integers reflexive? (xRy if x+y is odd) True O False CS Scanned with CamScanner
it says relation hotel already exist
Given the relations U and T below, use ordered pair notation to express the relation To U. a ToU = { Ex: (a, b), (b, c) b U a b T с
The domain for the relation R is the set of all integers. For any two integers, x and y, xRy if x evenly divides y. An integer x evenly divides y if there is another integer n such that y = xn. (Note that the domain is the set of all integers, not just positive integers.) Symmetric Transitive Anti-symmetric Reflexive
Please provide an example that works for all 3 sub-questions. Don't answer the subquestions.
FInd the relation R that induces the following partition of set A: {{1,5},{2,3,6}, {4}}.
I have 3 questions that need answering. For A = {a,b}, how many strings can be built of size 4 that contain at most 2 b's? 3 7 1 11 if we have a relation x R y such that x mod y == even, for x = {1,2,3}, y = {1,4,7}, which of the following is a relation? x = 2, y = 4 x = 1, y = 4 there is no solution to this there are infinite number of solutions to this For all objects J, if J is a square then J has four sides. The above is not equivalent to which of the following: there exists at least one four sided square in J every square has four sides all squares have four sides if J is a square then J has four sides
QUESTION 3 The domain for the relation R is the set of all integers. For any two integers, x and y, xRy if x evenly divides y. An integer x evenly divides y if there is another integer n such that y = xn. (Note that the domain is the set of all integers, not just positive integers.) Anti-symmetric Reflexive Symmetric Transitive
Is each of the following statements true or false? Please explain. a. If a signature σ is infinite (i.e. contains infinitely many symbols), then a σ-formula can have infinite length. b. Let σ := (c, f, ·, <) be a signature, where c is a contant symbol, f is a unary operation symbol, · is a binary operation symbol, and < is a binary relation symbol. Then ϕ(y, z) := ∀x(f(x) · c < x) is an extended σ-formula whose interpretation in each σ-structure is a binary relation. c. For any signature σ and any σ-structure A := (A, σA), if a set D ⊆ Ak is definable (A-definable here), then it is P-definable for some finite P ⊆ A.