Question

In: Advanced Math

Given that α (alpha) is an upper bound of a given set of S of real...

Given that α (alpha) is an upper bound of a given set of S of real numbers, prove the following are equivalent:


  1. α = sup(S)
  2. α ∈ cl(A)

Solutions

Expert Solution

Please feel free to ask for any query.

Colby Messinger answered 2 years ago
Next > < Previous

Related Solutions

Given the data listed in the table, calculate the lower and upper bound for the 95%...
Given the data listed in the table, calculate the lower and upper bound for the 95% confidence interval for the mean at X = 7. The regression equation is given by y^ = b0 + b1x. Regression Statistics Statistic Value b0 4.3 b1 0.50 x 5.36 se 3.116 SSX 25.48 SST 58.25 n 40 Give your answers to 2 decimal places. You may find this Student's t distribution table useful. a) Lower bound = b)Upper bound =
Given the integral 1/x dx upper bound 2 lower bound 1 (a) use simpson's rule to...
Given the integral 1/x dx upper bound 2 lower bound 1 (a) use simpson's rule to approximate the answer with n=4 Formula:f(x)=1/3[f(x0)+4f(x1)+2f(x2)+...+f(xn)]Δx(keep answer to 6 decimals) b)how large is n in order for the error of Simpsons rule for the given integral is no more than 0.000001 Formula: |Es|=(k)(b-a)^5/(180 n^4), where |f^4(x)≤k| please show all work and steps
Given their performance record and based on empirical rule what would be the upper bound of...
Given their performance record and based on empirical rule what would be the upper bound of the range of sales values that contains 68% of the monthly sales? Monthly Sales 7612.98 8393.66 7780.23 7091.18 9450.62 8220.44 7339.97 8589.48 7621.12 8067.21 7432.08 7621.69 7256.68 7821.21 8074.25 8173.28 7745.28 7398.05 7098.52 8484.65 7987.16 7041.5 7937.03 8508.25 8145.68 7802.15 8482.05 6171.19 8870.03 7906.6 9093.87 8010.37 6971.06 8800.08 7209.09 8852.65 8319.31 7982.86 8405.35 9166.74 7634.14 8315.4 8680.97 7540.09 9461.91 9414.57 9335.68 8638.78 7285.7 8376.95...
Please find the Lower AND Upper bound of the above number set: 36, 52, 60, 60,...
Please find the Lower AND Upper bound of the above number set: 36, 52, 60, 60, 62, 65, 65, 65, 70, 72, 74, 75, 75, 76, 76, 78, 79, 79, 80, 80, 82, 83, 84, 85, 88, 90, 90, 92, 95, 98, 99 (NOTE: The answer is not 36 nor 42 for low bound nor 81.37 nor 110 for the upper bound. These were incorrect answers.)
You are given a set S of n real numbers where for each element x ∈...
You are given a set S of n real numbers where for each element x ∈ S, 1 < | x | < 10. You are also given a black box that returns true if there is some combination (x, y, z) ∈ S such that x · y = z. Say the black box returns only z. Write an O(n log n) algorithm to find x and y. In other words, given a set S with n real numbers...
Recall the following theorem, phrased in terms of least upper bounds. Theorem (The Least Upper Bound...
Recall the following theorem, phrased in terms of least upper bounds. Theorem (The Least Upper Bound Property of R). Every nonempty subset of R that has an upper bound has a least upper bound. A consequence of the Least Upper Bound Property of R is the Archimedean Property. Theorem (Archimedean Property of R). For any x; y 2 R, if x > 0, then there exists n 2 N so that nx > y. Prove the following statements by using...
Write a program in JAVA that prompts the user for a lower bound and an upper...
Write a program in JAVA that prompts the user for a lower bound and an upper bound. Use a loop to output all of the even integers within the range inputted by the user on a single line.
Consider the following hypotheses. Upper H0​: p≤0.25 Upper H1​: p>0.25 Given that p=0.3​, n=110​, and α=0.05...
Consider the following hypotheses. Upper H0​: p≤0.25 Upper H1​: p>0.25 Given that p=0.3​, n=110​, and α=0.05 answer the following questions. a. What conclusion should be​ drawn? b. Determine the​ p-value for this test.
Use a recursion tree to determine a good asymptotic upper bound on the recurrence ?(?) =...
Use a recursion tree to determine a good asymptotic upper bound on the recurrence ?(?) = 3?(?/3) + ?. Use the substitution method to verify your answer.
Write matlab program to compute ∫f(x)dx lower bound a upper bound b using simpson method and...
Write matlab program to compute ∫f(x)dx lower bound a upper bound b using simpson method and n points. Then, by recomputing with n/2 points and using richardson method, display the exact error and approximate error. (Test with a=0 b=pi f(x)=sin(x))
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT