Question

4. Is complete metric space always compact? Answer the question by considering the real line R....

4. Is complete metric space always compact? Answer the question by considering the real line R. Justify your argument in detail.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Prove that a continuous real-valued function on a compact metric space assumes its maximum value. I...
Prove that a continuous real-valued function on a compact metric space assumes its maximum value. I want to show this. Pleas explain step by step
For each of the following subsets of the real line, mark which ones are compact, meaning...
For each of the following subsets of the real line, mark which ones are compact, meaning that every open cover has a finite subcover. [1, infinity) (1, 3) [1, 3] (1, 3] {1, 3} Just answer the question by choosing the correct answer choices.
Let P4 denote the space of polynomials of degree less than 4 with real coefficients. Show...
Let P4 denote the space of polynomials of degree less than 4 with real coefficients. Show that the standard operations of addition of polynomials, and multiplication of polynomials by a scalar, give P4 the structure of a vector space (over the real numbers R). Your answer should include verification of each of the eight vector space axioms (you may assume the two closure axioms hold for this problem).
Question 4: The function f : {0,1,2,...} → R is defined byf(0) = 7, f(n) =...
Question 4: The function f : {0,1,2,...} → R is defined byf(0) = 7, f(n) = 5·f(n−1)+12n2 −30n+15 ifn≥1.• Prove that for every integer n ≥ 0, f(n)=7·5n −3n2. Question 5: Consider the following recursive algorithm, which takes as input an integer n ≥ 1 that is a power of two: Algorithm Mystery(n): if n = 1 then return 1 else x = Mystery(n/2); return n + xendif • Determine the output of algorithm Mystery(n) as a function of n....
#4. You are considering investing $1,000 in a complete portfolio. The complete portfolio is composed of...
#4. You are considering investing $1,000 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 5% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in P are 60% and 40%, respectively. X has an expected rate of return of 14%, and Y has an expected rate of return of 10%. The risky portfolio, P, has a standard deviation of 0.7. Assuming you decide...
Let G be a graph with vertex set V. Define a relation R from V to...
Let G be a graph with vertex set V. Define a relation R from V to itself as follows: vertex u has this relation R with vertex v, u R v, if there is a path in G from u to v. Prove that this relation is an equivalence relation. Write your proof with complete sentences line by line in a logical order.  If you can, you may write your answer to this question directly in the space provided.Your presentation counts.
A space shuttle is orbiting around Earth, at distance r = 6.77 x 106 m away...
A space shuttle is orbiting around Earth, at distance r = 6.77 x 106 m away from the center of Earth. At this distance, gravitational acceleration is equal to g = 8.69 m/s2. There is an astronaut aboard the space shuttle, she is 1.70 m tall. The difference in gravitational acceleration betweeen her feet and her head is Δg = -4.36 x 10-6 m/s2 Considering the above information, answer parts a, b, c, d, and e below. Include your explanation...
In a Word document, answer each question in complete sentences, grammatically correct and proofread carefully. You...
In a Word document, answer each question in complete sentences, grammatically correct and proofread carefully. You do not need to retype the question, just number your answers. Take as much space as you want to answer the questions completely. 1. Why do you want this position? 2. What would your last boss (or instructor) say is your greatest strength? ' 3. What do you consider to be a weakness? 4. Tell me about a challenge you have faced and how...
Be sure to answer all parts of each prompt in detailed and complete sentences.    Question...
Be sure to answer all parts of each prompt in detailed and complete sentences.    Question 1:  Connection between cell phones and brain cancer? One study of cell phones and the risk of brain cancer looked at a group of 469 people who have brain cancer. The investigators matched each cancer patient with a person of the same age, sex, and race who did not have brain cancer, then asked about the use of cell phones.4 Result: “Our data suggest that...
You are considering creating a new product line in warehouse space that originally cost you $52,895...
You are considering creating a new product line in warehouse space that originally cost you $52,895 5 years ago. The required machinery would cost $6,786, should last 9 years, after which could be scrapped for $887. Net working capital would need to immediately increase by $4,332, but could return to normal levels after 9 years. Annual sales and operating costs are expected to be $7,097 and $1,688, respectively. 18% of customers are expected to switch over from your existing product...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT