Discrete Mathematics subject for btech Computer science and engineering students
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Let R = {(b, c),(b, e),(c, e),(d, a),(e, b),(e, c)} be a relation on the set A = {a, b, c, d, e}. Verify the existence of transitive closure of R using Warshall’s Algorithm.
Discrete Mathematics 22. Let r be a relation on the integers such that (a, b) E r if and only if a +b 1. What is the transitive closure of r? 23. Write an algorithm in pseudo code that converts numbers in decimal representation to octal (base 8) representation 24. Prove that the set of integers in countable 22. Let r be a relation on the integers such that (a, b) E r if and only if a +b 1....
Express each of the following using quantified state- ments over the domain S of all college students and the predicates C(x) meaning "x is a computer science major," and D(x) meaning "x takes discrete mathemat- ics." Which statements are equivalent to one another? Which statements are negations of one another? (d) Not every computer science major takes discrete mathematics. (f) You must take discrete mathematics if you are a computer science major (g) Some computer science majors do not take...
Use Warshall's Algorithm to find the transitive closure of the relation {(a,b), (b,a), (b,c), (b,e), (c,a), (d,c), (d,d), (e,c)} on {a, b, c, d, e}. Please leave your answer in matrix form.
5-13 please Homework on sets 1. let the universe be the set U (1,23. .,1.0), A (147,10), B- (1,2 list the elements for the following sets. a. B'nt C-A) b. B-A c. ΒΔΑ 2. Show that A (3,2,1] and B (1,2,3) are equal 3. Show that X Ixe Rand x > 0 and x < 3j and ( 1,2) are equal. 5. Use a Ven diagram and shade the given set. (cnA)-(B-Arnc) Show that A (x| x3-2x2-x+2 O) is not...
Let R(A,B,C,D,E) be a relation with FDs F = {AB-CD, A-E, C-D, D-E} The decomposition of Rinto R1(A, B, C), R2(B, C, D) and R3(C, D, E) is 2 Points) Select one: Lossless and Dependency Preserving. Lossy and Not Dependency Preserving. Lossless and Not Dependency Preserving. Lossy and Dependency Preserving.
Let R(A,B,C,D,E) be a relation with FDs F = {AB-CD, A-E, C-D, D-E} The decomposition of Rinto R1(A, B, C), R2(B, C, D) and R3(C, D, E) is 2 Points) Select one: Lossless and Dependency Preserving. Lossy and Not Dependency Preserving. Lossless and Not Dependency Preserving. Lossy and Dependency Preserving.
Consider the following relation R= {A, B, C, D, E} and the following set of functional dependencies F={ A → BC CD → E B + D E + A} Give a lossless, dependency-preserving decomposition into 3NF of schema R
Let R(A, B, C, D, E) be a relation wit FDs F = {AB->C, CD->E, E->B, CE->A}.... Question 4 Not yet answered Marked out of 2.00 P Flag question Let R(A,B,C,D,E) be a relation with FDs F = {AB-C, CD-E, E-B, CE-A} Consider an instance of this relation that only contains the tuple (1, 1, 2, 2, 3). Which of the following tuples can be inserted into this relation without violating the FD's? (2 points) Select one: 0 (0, 1,...
Word Bank: a) python b) computer science c) algorithm d) program e) interpreter f) compiler g) syntax h) semantics i) value J) variable k) operator l) operand m) expression n) statement o) input p)output q)call r) arguments s) library t) bug u) variable scope v) local variable w)global variable x) variable lifetime y) relational operators z) logical operators 1) Compares operands and results in a bool: 2) The duration of a variable's existence: 3) A list of instructions to solve...
Consider the relation R with attributes: A, B, C, D, E, and F Let S be a set of functional dependencies in R such that S = { A-> B, CD-> E, C-> D]. Which of these attributes are in the closure of [C, F)?