If f; g F(X) are increasing, then f + g is increasing f is
Question:
• f + g is increasing
• αf is increasing for every α ≥ 0
Therefore the set of all increasing functionals on a set X is a cone in F(X).
Moreover, if f is strictly increasing, then
• f + g is strictly increasing
• αf is strictly increasing for every α > 0
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 61% (13 reviews)
For every 2 1 2 1 2 1 Adding 2 2 2 1 1 1 That is is increasing Similarly for every 0 2 1 and there...View the full answer
Answered By
AJIN kuriakose
I have completed B.Tech in Electrical Engineering & Masters in Power & Control From one of the best universities in India. I got the 99.05 percentile in the Gate Electrical Engineering Exam. I can Help students solving assignments in Electrical subjects like Power Electronics, Control system, Analog, Network Theory & Engineering Mathematics. Clear your fundamentals and develop problem-solving skills and analytical skills to crack the exam.
Get guidance and the opportunity to learn from experienced...
I can provide tuition for Electrical engineering subjects (Power Electronics, Digital electronics, Network Theory, Control System & Engineering Mathematics). The toughest subject of Electrical engineering can be made simple in online classes...
I can also solve it.
1 .I can help you with your assignments or exams or quiz or tutoring.
2. Very strict to the deadlines.
Message me for any help in assignments, live sessions. I am here to help students for all assignments, tests and exams and I will make sure you always get _95% In your subject.
Contact me in solution inn for any help in your semester, projects and for many more things . Also feel free to contact me through solution inn and for any advise related to tutoring and how it works here.thank you.
5.00+
5+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Numerical Analysis questions
-
If f and g are increasing on an interval l, then f + g is increasing on l.
-
If f and g are increasing on an interval l, then f g is increasing on l.
-
If f and g are increasing on an i9nterval l, then fg is increasing on l.
-
Terminology Key: Key Word List Describe Explain What to do In bulleted, numbered or paragraph form, provide a number of consecutive items-if paragraph form, use commas (,) to separate items In...
-
Commercial fish raising is a growing industry in the United States. What makes fish raised commercially grow faster and larger? Suppose that a fish industry study is conducted over the three summer...
-
Compute ending merchandise inventory and cost of goods sold for Active Sports Shop using the LIFO inventory costing method
-
What are the principal differences between the audit of plant assets and current assets?
-
Beantown Baseball Company makes baseballs that sell for $13.00 per two-pack. Current annual production and sales are 960,000 baseballs. Costs for each baseball are as follows: Direct material...
-
1. Legal and Ethical Considerations: Discuss the legal and ethical issues related to staffing, including compliance with anti-discrimination laws. Develop policies and practices to ensure legal and...
-
Beds and Spreads Inc. specializes in bed and bath furnishings. Its inventory system is linked through the company's website to key suppliers. The auditor identified the following internal controls in...
-
If f: X is increasing, -f: X is decreasing.
-
If f and g are strictly positive definite and strictly increasing functionals on X, then so is their product fg defined by (fg)(x) = f(x)g(x)
-
Why is corporate long-term debt riskier than government long-term debt?
-
Suppose that two coherent, spherical sound sources, 1 and 2 , each generate the same amount of power \(P\). The distance between the sources is \(2 \lambda\). Point \(\mathrm{R}\) is on a line of...
-
On a whale-watching expedition, your underwater sound detector picks up a whale sound that has an intensity of \(9.0 \mu \mathrm{W} / \mathrm{m}^{2}\). (a) What is the intensity level \(\beta\) of...
-
A typical car horn has an intensity level of \(90 \mathrm{~dB}\) at a distance of \(1.0 \mathrm{~m}\). (a) What is the intensity level of 16 cars all honking their horns at an intersection on a city...
-
Two parallel-plate capacitors have the same plate area. Capacitor 1 has a plate separation twice that of capacitor 2 , and the potential difference you impose across the plates of capacitor 1 is...
-
One tuning fork vibrates at a frequency of \(528 \mathrm{~Hz}\), and a second one vibrates at \(524 \mathrm{~Hz}\), but you don't know which is which. After applying a small piece of modeling clay to...
-
Presented on page 634 are three different and unrelated situations involving depreciation accounting. Answer the question(s) at the end of each situation. Situation I: Recently, Broderick Company...
-
1) The government decided to reduce taxes on fast-food to increase revenue. The government assumes that fast-food products have a) An inelastic demand b) An elastic demand c) A demand curve that is...
-
Four electronic ovens that were dropped during shipment are inspected and classified as containing either a major, a minor, or no defect. In the past, 60% of dropped ovens had a major defect, 30% had...
-
Continuation of Exercise 5-27. Determine the following: (a) The joint probability mass function of the number of ovens with a major defect and the number with a minor defect. (b) The expected number...
-
Continuation of Exercise 5-27. Determine the following: (a) The conditional probability that two ovens have major defects given that two ovens have minor defects (b) The conditional probability that...
-
A proton (mass of 1.67 x 10-27 kg) is moving at 1.25 x 106 m/s directly toward a stationary helium nucleus (mass 6.64 x 10-27 kg). After a head-on elastic collision, what is the velocity of the...
-
The December 31, Year 4, balance sheet for Vernon Corporation is presented here. These are the only accounts on Vernon's balan sheet. Amounts indicated by question marks (?) can be calculated using...
-
Reyes Manufacturing Company uses a job order cost system. At the beginning of January, the company had one job in process (Job 201) and one job completed but not yet sold (Job 200). Job 202 was...
Study smarter with the SolutionInn App