Readings for Lecture/Lab 1 – Sets and Whole Numbers How are the
... How many other distinct one-to-one correspondences could be made where a, b, c are kept in the same order? What are they? That is, how many different one-to-one correspondences could be made? Important Note. Equal sets are equivalent, but equivalent sets may not be equal. This was illustrated in the ...
... How many other distinct one-to-one correspondences could be made where a, b, c are kept in the same order? What are they? That is, how many different one-to-one correspondences could be made? Important Note. Equal sets are equivalent, but equivalent sets may not be equal. This was illustrated in the ...
Sets, Functions, Relations - Department of Mathematics
... 1. S + = set of positive elements in S, for instance Z + = {1, 2, 3, · · · } = the set of positive integers. 2. S − = set of negative elements in S, for instance Z− = {−1, −2, −3, · · · } = the set of negative integers. 3. S ∗ = set of elements in S excluding zero, for instance R∗ = the set of non z ...
... 1. S + = set of positive elements in S, for instance Z + = {1, 2, 3, · · · } = the set of positive integers. 2. S − = set of negative elements in S, for instance Z− = {−1, −2, −3, · · · } = the set of negative integers. 3. S ∗ = set of elements in S excluding zero, for instance R∗ = the set of non z ...
2.1 Practice Using Set Notation HW
... 21. B = {-3, -1, 1, 3, 5, 7} 22. C = { } 23. D = {3, 2, 2, 1, 3, 1, 2} 24. E = {Natural numbers between 15 and 20} 25. F = {whole numbers from 8 to 14} ...
... 21. B = {-3, -1, 1, 3, 5, 7} 22. C = { } 23. D = {3, 2, 2, 1, 3, 1, 2} 24. E = {Natural numbers between 15 and 20} 25. F = {whole numbers from 8 to 14} ...
A set is a collection of objects. The objects are called elements of the
... A set is a collection of objects. The objects are called elements of the set. A set can be described as a list, for example D = {5, 6, 7} or with words (often in many different ways): D = {All whole numbers between 5 and 7 inclusive} = { All integers bigger than 4 and less than 8} Repetitions in the ...
... A set is a collection of objects. The objects are called elements of the set. A set can be described as a list, for example D = {5, 6, 7} or with words (often in many different ways): D = {All whole numbers between 5 and 7 inclusive} = { All integers bigger than 4 and less than 8} Repetitions in the ...
310409-Theory of computation
... • It is essential to have a criterion for determining, for any given thing, whether it is or is not a member of the given set. • This criterion is called the membership criterion of the set. ...
... • It is essential to have a criterion for determining, for any given thing, whether it is or is not a member of the given set. • This criterion is called the membership criterion of the set. ...
ProofSpace Problem Set
... 1 For each of the following sets, interpret the set builder notation by listing out the elements of the set. a) {x ∈ Z | (3 divides x and 3 divides x2 )}. b) {n ∈ N | (∀m ∈ N)(n + m > 4)} c) {p ∈ Z | (p2 < 0) ⇒ (p = 4)}. 2 For each of the following, write the set in set builder notation. a) The set ...
... 1 For each of the following sets, interpret the set builder notation by listing out the elements of the set. a) {x ∈ Z | (3 divides x and 3 divides x2 )}. b) {n ∈ N | (∀m ∈ N)(n + m > 4)} c) {p ∈ Z | (p2 < 0) ⇒ (p = 4)}. 2 For each of the following, write the set in set builder notation. a) The set ...
notes 1 on terms File
... a way of picturing relationships between different groups of things (sets/subsets) Named for the person who created it...John Venn universal set: rectangle ; represents everything in context of the problem sub-sets: circles inside the rectangle each element in the universal set occurs only once. if ...
... a way of picturing relationships between different groups of things (sets/subsets) Named for the person who created it...John Venn universal set: rectangle ; represents everything in context of the problem sub-sets: circles inside the rectangle each element in the universal set occurs only once. if ...
Ch 2.1
... The symbol ∉ is used to indicate that an object is not an element of a set. The set of counting numbers is also called the set of Natural numbers and we represent this set by the bold face letter N. N = {1, 2, 3, …} The cardinal number of set A, represented by n(A), is the number of distinct element ...
... The symbol ∉ is used to indicate that an object is not an element of a set. The set of counting numbers is also called the set of Natural numbers and we represent this set by the bold face letter N. N = {1, 2, 3, …} The cardinal number of set A, represented by n(A), is the number of distinct element ...
