Prove that the discrete space R is complete.
Question:
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 77% (9 reviews)
If x n is Cauchy then there is an N suc...View the full answer
Answered By
Mahesh G
I have more than 7 years of experience in teaching physics, mathematics and python programming to more than 600 students including both online and offline tutoring.
I follow the following 7 step fundamental approach towards tutoring.
1. Curiosity, scope, enlightenment of the topic in hand.
2. Problem Definitions and elaboration.
3. Requisite mathematics, analytical abilities and quantitative
aptitude.
4. Preparing Algorithms for problem statement.
5. Concepts with analogies and building algorithm.
6. Introspection and improvising.
7. Daily class wise Cheat sheets(its not cheating) for consolidation.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Numerical Analysis questions
-
a) A point a in a metric space X is said to be isolated if and only if there is an r > 0 so small that Br(a) = {a}. Show that a point a X is not a cluster point of X if and only if a is isolated. b)...
-
Consider an N - letter source with probabilities, Pi, i = 1, 2, 3 N. The entropy of the source is given by Prove that the discrete distribution that maximizes the entropy is a uniform distribution....
-
Prove that the discrete-time dynamical system xt+1 = cos(xt) has an equilibrium between 0 and /2. The Intermediate Value Theorem can often be used to prove that complicated discrete-time dynamical...
-
The Regal Cycle Company manufactures three types of bicycles-a dirt bike, a mountain bike, and a racing bike. Data on sales and expenses for the past quarter follow: Sales Variable manufacturing and...
-
Vriend Software Inc.s book value per share is $15.20. Earnings per share is $1.88, and the firms stock trades in the stock market at 3.5 times book value per share, what will the P/E ratio be? (Round...
-
In Problem 4, the Vehicle, Car, and Truck classes were implemented. Vehicles could include more such as motorcycles, buses, trains, ships, and airplanes. Using UML diagrams, organize these vehicles....
-
The following data were collected on specific gravity and spectrophotometer analysis for 26 mixtures of NG (nitroglycerine), TA (triacetin), and 2 NDPA (2-nitrodiphenylamine). There is a need to...
-
Thompson Travel borrowed $68,000 on October 1, 2012, by signing a one-year note payable to Metro One Bank. Thompsons interest expense for the remainder of the fiscal year (October through December)...
-
Company B from above invested $1,000,000 in a project with expected cash inflows of 300,000, 400,000 and 500,000 over the next three years, respectively. Assume no re-sale value. What is the NPV of...
-
1. The radium isotope 223Ra, an alpha emitter, has a half-life of 11.43 days. You happen to have a 1.0 gg cube of 223Ra, so you decide to use it to boil water for tea. You fill a well-insulated...
-
Let (xn) be Cauchy in X. Prove that {xn} converges if and only if at least one of its subsequences converges.
-
a) Prove that the metric space C[a, b] in Example 10.6 is complete. b) Let ||f||1: = ba |f(x)|dx and define dist(f, g) := ||f - g||1 for each pair f, g C[a, b]. Prove that this distance function...
-
During an economic slump such as the 2008 recession, what pricing strategies could a fast-food chain such as McDonalds use to maintain its sales? Use some of the concepts discussed in this chapter in...
-
A ball is thrown straight up into the air. At each of the following instants, is the ball's acceleration \(a_{y}\) equal to \(g,-g, 0, g\) ? a. Just after leaving your hand? b. At the very top...
-
____________ To use the F statistic to test for the equality of two variances, the sample sizes must be equal.
-
Given the transfer function below \[H(z)=-z^{-2 N}+\cdots-z^{-6}+z^{-4}-z^{-2}+1\] where \(M\) is an odd number: (a) Show a realization with the minimum number of adders. (b) For a fixed-point...
-
The species of each insect found in a plot of cropland is: (1) a nominal variable (2) an ordinal variable (3) an interval variable (4) a ratio variable
-
____________ A sum of squares is a measure of dispersion.
-
Determine the radiation efficiency of a half-wave dipole operating at 6 MHz. The wire is made of copper ( = 58 MS/m) and is 1.2 mm in radius.
-
Synthesize the products by drawing out reagents and intermediates along the way. `N H. OH HO HO
-
(Feller14) A large number, N, of people are subjected to a blood test. This can be administered in two ways: (1) Each person can be tested separately, in this case N test are required, (2) the blood...
-
The following related discrete problem also gives a good clue for the answer to Exercise 32. Randomly select with replacement t1, t2, . . . , tr from the set (1/n, 2/n, . . . , n/n). Let X be the...
-
Let X be the random variable of Exercise 2. (a) Calculate the function f(x) = P (|X 10| x). (b) Now graph the function f(x), and on the same axes, graph the Chebyshev function g(x) = 100/(3x2). Show...
-
a) Based on the information provided in the table below: i. Describe the impact of the cost behavior on economies of scale, constant returns to scale, and diseconomies of scale in each firm?...
-
Use the following information to answer questions below: Total current assets Total non-current assets Total current liabilities Long-term borrowings Share capital Revenue Gross profit Retained...
-
A Public Information Officer ( PIO ) for a public safety or emergency management agency might expect to spend what portion of his or her time on activities directly related to incident response or...
Study smarter with the SolutionInn App