Let A={(-1,7),(2,3),(5,-5), (3,8), (9,-1), (-4,3)}. List the elements in each of the following sets:
a){ a-b | (a,b)∈A}
b){ a | a<0 and (a,b)∈A}
a){ b | b = 3k for some k ∈ Z and (a,b)∈A for some a}
Let A={(-1,7),(2,3),(5,-5), (3,8), (9,-1), (-4,3)}. List the elements in each of the following sets: a){ a-b...
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 U={1,2,3,4,5,6} A={1,2,3} B={1,3,5} C={5,6} List the elements of the following sets. (a) (A union B)', (b) A intersection B intersection C, (c) A'intersection B intersection C (d) A'intersection C'
question 1,7&10 a) Given the information below: {1, 2, 3, 4, 5, 6} A = {1} B= {4,5) C = {3,6} LIST the elements in each of the following sets: AU ( BCC) Hint Do not use ellipsis, but list each element of the set separated by a comma in numerical order in curly braces that look like this: {}. If the set is empty, type Empty Set without curly braces. (AUB) n(AUC) = Hint Do not use ellipsis, but...
Consider the following groups of invertible elements: For each group, list its elements. What is the order? Is it cyclic? 「f not, is it isomorphic to some other group you can describe explicitly, e.g. a product Z/nZ x Z/mZ? Consider the following groups of invertible elements: For each group, list its elements. What is the order? Is it cyclic? 「f not, is it isomorphic to some other group you can describe explicitly, e.g. a product Z/nZ x Z/mZ?
List the elements of the following setswhere P = {1,2,3...}A={x:x € P, 3 < x < 12}B={x:x € P, x is even, x < 15}C={x:x € P, 4 + x € 3}D={x:x € P, x is multiple of 5}
6. Let A and B be some finite sets with N elements. • Prove that any onto function : A B is an one-to-one function. • Prove that any one-to-one function /: A B is an onto function. • How many different one-to-one functions f: A+B are there?
(2) Consider the following groups of invertible elements For each group, list its elements. What is the order? Is it cyclic? If not, is it isomorphic to some other group you can describe explicitly, e.g. a product Z/nZ x Z/mZ?
Let us consider 2 sets A = {1,2,3,4} and B = { 5,6}. 1. What is {}? 2. What is |A|? 3. What is A union B? 4. What is A intersection B? 5. What is {{}}? 6. What is |{{}}|? 7. What is A x B? 8. What is BxA? 9. If A has 2^5 elements and B has 2^6 elements, how many elements are there in AxB?
Rank the elements in each of the following sets in order of increasing first ionization energy. (Use the appropriate <, =, or > symbol to separate substances in the list.) (a) Na, H, Li, Rb (b) C, B, F, N
1. Let A = {a1, ..., an} and B = {b1, ..., bm} be two sets of numbers. Consider the problem of finding their intersection, i.e., the set C of all the numbers that are in both A and B. a. Design a presorting based algorithm for solving this problem and determine its efficiency class. 2. Estimate how many searches will be needed to justify time spent on presorting an array of 103 elements if sorting is done by mergesort...