Let A be the set {1,3,5,7,9} and B be the set {1,2,4,8}. Let U be the set {1,2,3,4,5,6,7,8,9,10}. What are the characteristic sequences XA and XB? See P. 55 Example 2.2.3. Example 2.2.3: Characteristic SequencesIf U is the set of the first 10 odd positive integers, A is the subset of primes in U,and B is the set of multiples of 3 in U, thenU ={1, 3, 5, 7,9, 11, 13, 15, 17, 19}11, 13,9,1,// x; = 2i – 1.3, 5, 7,3,(0, 1, 1, 1, 0,XВ — (0, 1, 0, 0, 1,A = {B = {17, 19}}1, 1)151,0,0,0,1, 0,0).Characteristic sequences may be used as an implementation model for subsets ofany given indexed set U. The set operations may be done on these sequences:ХАПВ (i) — х4 (i) х X" (i);XAUB () — х^ () + х" (і) — х^ () х х* ();хА0 () — х^() — х^() х х"().If A CB thenx^ (i) <= X* (i)for each index i,n|A| =ExA.andi=1

Use the example attached in the question to solve the given problem.

Answered: Let A be the set {1,3,5,7,9} and B be…

Let A be the set {1,3,5,7,9} and B be the set {1,2,4,8}. Let U be the set {1,2,3,4,5,6,7,8,9,10}. What are the characteristic sequences XA and XB? See P. 55 Example 2.2.3.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Let S be the set of all finite sequences of letters a, b, c. For example, the following are elements…

Q: 5) (12) Let T CZ, T ={2,5, 10, 17, 26, 37, ...}. Prove that set T is countable or uncountable.

A: We will define a function from N to T

Q: 2. Define the sets X = {1,2,3} and Y = {4,5,6}. Now, define the relation R from X to Y by „R, if and…

Q: Consider the three sequences given below. A: (7, 5, 4, 3, 2, 1, 1) B: (6, 4, 4, 4, 3, 2, 2, 1) C:…

A: Noted that a graph G is said to be simple graph if it has neither parallel edges nor self loops.Now…

Q: 2 2 b) Given the sequence 6, 2, 3' 9 (Show work Algebraically) 2 : How many terms are there? 6561 |…

A: The first term=a= 6 The common ratio=r= second term / first term = 2/6= 1/3 Let there are n terms.…

Q: Question 1 Consider the three sequences given below. A: (7, 5, 4, 3, 2, 1, 1) B: (6, 4, 4, 4, 3, 2,…

A: Degree sequence of a graph is the list of degree of all the vertices of the graph.Note: The degree…

Q: The following sequence has a degree of 3: 3, -4, -23, -60, -121, -212, -339, ..... True O False

Q: find a way to partition N into not two but infinitely many subsets with each subset containing…

A: All the natural numbers can be written in prime factorization form. The natural numbers are the set…

Q: Match the set on the left with its size on the right. O Instructions (0,0) The set of letters in the…

A: The cardinality of a set is the number of elements present in that set. Let P be a set, then the…

Q: Help please

A: To prove that an is odd for all integers n≥1, we can use mathematical induction. ### Base…

Q: Suppose (S;)jEN is a sequence of subsets of R", such that each S; C R" has ieN zero content (i.e.,…

A: Option 1, 3, 4,5,6 are true.

Q: For nists of integers, provide mula or rule that generates the terms of quence that begins with the…

A: We have to write the simple formula for the given terms. To do so, we need to analyze the pattern.…

Q: d) 3, 6, 12, 24, 48, 96, 192, ... e) 15, 8, 1, -6, -13, -20, -27, ... f) 3, 5, 8, 12, 17, 23, 30,…

A: The data shows the sequence of the numbers.

Q: G15. Is the sequence 2, 23, 3, 37, 7, 75, 5, 56, 6, 63, 3, 32, 2 a path? Here 2 stands for vertex 2…

A: Please note that, as you asked (G.15) answer so I answered only part (G.15)

Q: Choose the letter of the correct answer. Let f: D-R and c be a cluster point of D. Suppose that…

Q: sequence a1, A2, A3, 2 2 - 2 + ... an 2 ... 2 is an A.P., th n 102 =

Q: 8. Carrot the Cat Carrot the cat likes taking naps in one of four locations: the rug, the bed, the…

A: Carrot has the following conditions:• He will not sleep in the sink twice in a row• He will sleep on…

Q: Let A = {H, T} be the set of outcomes when a coin is tossed, and let B = {1, 2, 3, 4, 5, 6} be the…

Q: Suppose I choose two numbers from the set {1, 2, 3,... 100}. How many have an even sum? Show all…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 4. Given the set A={ 4, 6, 8} . Find R2 a. As if (a-b) is odd b. As if (a-b) is even

A: Follow the procedure given below.

Q: -, 1, 1) nswer: Select an answer v

Q: Question 5. Given positive integers n and m, how many sequences (a₁, a2,...,an) of n integers are…

A: Given Information:The two positive integers .To find:The number of sequences of integers are there…

Q: Can you provide explanations

A: This difference equation is yn+3 = yn+2 + yn+1 + ynExplanation:Let's first find y1, y2, and y3…

Q: Find a3, a4, and as of the sequences. a. a₁ = 1, a2=2, an=2an 1+3 an 2 b. an an = (n + 1) + (n + 2)…

Q: SEt!bこN

A: Given vector, v→=4i+3j

Q: M 8

A: Series: ∑n=0∞ xn=11-x for x∈(-1,1) ∑n=0∞ xn=1+ ∑n=1∞ xn ddx(1+∑n=1∞…

Q: Find recursive definitions and closed formulas for the arithmetic sequences below. Assume the first…

A: Given,2,5,8,11,14Here a0=2d=a1-a0d=5-2d=3we know that ,an=a0+(n-1)dan=2+(n-1)3an=2+3n-3an=3n-1

Q: 2. Determine the number of strings of length n consisting of the letters a, b, c, d in which there…

A: The given data in this question is the length of the string, denoted as 'n', and the set of…

Q: Identify which sequences have a common difference of 3 ..

A: We have to identify which sequences have a common difference of 3. Common difference in Arithmetic…

Q: If given A is a set {1, 2, 3} and B is a set {3, 5, 6, 7}, then |A X B| by using the multiplication…

A: Using the multiplication principle of counting

Q: Click on all of the sequences that are arithmetic (There is more than 1 ans 8, 13, 18, 23, 28

Q: Which of the following is NOT a subset of the set {p, o, 7}? ∅ {o, 7} {p, o, 7} 7

Q: A sequence s, is said to be bounded above If there is some number N such that S,SN.a O S N.b O…

A: Option (a) is correct

Q: Question 6. Given positive integers n and m, how many sequences (a₁, a2,..., an) of n integers are…

A: The number of sequences (a1 ,a2 , ..., an ) of n integers that can be calculated using…

Q: List all the subsets of the given set. {g, r, s} ▪▪▪ Choose the answer that lists all of the subsets…

Q: Suppose that B is a subset of A. Specify a one-to-one function whose domain is B and whose range is…

A: suppose that B is a subset of A claim- to find a one-to-one function whose domain is B and range is…

Question

100%

Let A be the set {1,3,5,7,9} and B be the set {1,2,4,8}. Let U be the set {1,2,3,4,5,6,7,8,9,10}. What are the characteristic sequences X^A and X^B? See P. 55 Example 2.2.3.

Example 2.2.3: Characteristic Sequences
If U is the set of the first 10 odd positive integers, A is the subset of primes in U,
and B is the set of multiples of 3 in U, then
U ={1, 3, 5, 7,9, 11, 13, 15, 17, 19}
11, 13,
9,
1,
// x; = 2i – 1.
3, 5, 7,
3,
(0, 1, 1, 1, 0,
XВ — (0, 1, 0, 0, 1,
A = {
B = {
17, 19}
}
1, 1)
15
1,
0,
0,
0,
1, 0,
0).
Characteristic sequences may be used as an implementation model for subsets of
any given indexed set U. The set operations may be done on these sequences:
ХАПВ (i) — х4 (i) х X" (i);
XAUB () — х^ () + х" (і) — х^ () х х* ();
хА0 () — х^() — х^() х х"().
If A CB then
x^ (i) <= X* (i)
for each index i,
n
|A| =ExA.
and
i=1

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Please teach me how to show this step by step!
lected. 15. A set has elements in an arithmetic sequence 3, 5, 7, 9, . . . text to format. 1009. Show how a one-to-one correspondence might be used to find the number of elements in this sequence. Show 347 the correspondence and any patterns used to find the cardinal number of the sequence. 429
Express the set in roster form. B= {x| xEN and x is even) Choose the correct answer below. O A. B= (2, 4, 6, 8, ...) O B. B=(2) O C. B= (2, 4, 6, 8} O D. B= (4, 6, 8, 10, ..) O E. B=(4, 6, 8, 10} OF B=(2, 4, 6, 8, 200} O G. B=Ø
Subject-advance maths
K Let U = {a,b,c,d,e,f,8,9,10,11,12,13}, X = {a,b,c,10,11,12}, Y = {b,d,f,9,11,13), and Z= {b,d,11,12,13). Which pairs of sets are disjoint? Choose the correct answer below. OA. The sets X and Y OB. The sets X and Y and the sets X and Z OC. The sets Y and Z OD. None of the sets are disjoint.
Please solve this question in discrete math quickly
5
Read the two statements. WriteA if Statement I is true and Statement II is false B if Statement I is false and Statement II is true C if both Statements are trueD if both Statements are false
What percentage of two days is 10 hours? A) 41.6% B) 20.8% C) 24.0% D) 48.0%
K Use the Venn diagram shown to list the set An C in roster form. U 5 A 1 6 9 13 2 11 S с 4 10 12 14 B OA. {2, 3, 4, 6, 8, 9, 10, 11, 12, 13} O B. {11, 13) O C. {4, 11, 12} O D. {11} +
If {u, v) is a generator sequence then the sequence generator sequence. {u-v,u+v} is also a
please see the picture 7. Let S be a set with exactly n many elements. Arguing by induction, show that the power set P(S)has exactly 2n many elements.