Show that the derivative of a functional on n can be expressed as the inner product T.

Question:

Show that the derivative of a functional on „œn can be expressed as the inner product

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

See More Books

Question Posted: May 02, 2016 11:50 AM

See More Questions

Show that the derivative of reduces to the form N! ft,(v) = (m -1 )!(N.mrho)(Fro))",-1(1-Fro pr-m
Show that gradient of the Cobb-Douglas function can be expressed as f(x)
Let S be a nonempty subset of a linear space and let m dim cone S. For every x cone S, there exist x1,x2,...,xn S and Î±1, Î±2, . . ., Î±n + Such that x =...
All organizations incur non value added costs. Eliminating or reducing non value added costs is the responsibility of managers. Using the Activity Based Management approach and focusing on the...
Compute a one-way ANOVA on the following data. 1 2 27 .........22 31 .........27 31 .........25 29 .........23 30 .........26 27 .........27 28 .........23 Determine the observed F value. Compare it...
A firm relies on R&D to maintain profitability. The firm needs to determine the maximum amount to invest today (or invest in phase I) for its three-phased project. Phase I: Research. (Invest R{)...
You have been meeting with a potential new customer regularly for three months. She likes the product but finally admits a loyalty to the existing supplier. The buyer says, I have known Judith...
Wolverine Corp. currently has no existing business in New Zealand but is considering establishing a subsidiary there. The following information has been gathered to assess this project: The initial...
Explain clearly the pricing method of Zero-Growth Stock and Growth Stock, the impact of reinvestment or growth opportunities on Price-Earnings Ratio (PER), and the meaning of PER in making investment...
A program is running on a computer with a four-entry fully associative (micro) translation lookaside buffer (TLB): The following is a trace of virtual page numbers accessed by a program. For each...
Show that the gradient of a differentiable functional on n comprises the vector of its partial derivatives, that is, Vf(x) = (Dfx), Dfx)...., D fx)
If a differentiable functional f is increasing, then f(x) 0 for every x X; that is, every partial derivative Dxi f[x] is nonnegative.
Derive the formula for the tangent of a difference.
In the market for corn, explain why the corn price has fallen and explain how an increased subsidy influences the price and quantity of corn. In 2016, 25 percent of an estimated $55 billion farm...
When John Wicks opened his natural gas bill for January he was very happy. It was $147, not the usual $300 for the coldest month. Natural gas provider CenterPoint Energy said higher temperatures had...
If the $5 price described in the news clip were adopted, how would consumer surplus, producer surplus, and the deadweight loss change? The price of streaming services has been $10 a month or zero....
Calculate the slope of the relationship in Problem 4 between 3,846 and 4,071 theaters. Use the following news clip to work Problems. Kong Tops the Box Office Movie Kong: Skull Island Logan Get Out...
Let X U(a, b) a. Show that if $x \leq a$ then $P(X \leq x)=0$. b. Show that if $x>b$ then $P(X \leq x)=1$. c. Show that if \(a F(x) = 0 x-a b-a 1 x a a
A set of n = 15 pairs of scores (X and Y values) produces a regression equation of Y = 3X + 8. Find the predicted Y value for each of the following X scores: 1, 2, 3, and 6.
A statistical study shows that the fraction of television sets of a certain brand that are still in service after x years is given by f (x) = e-0.15x. (a) What fraction of the sets are still in...
(a) Find an equation for the family of linear functions with slope 2 and sketch several members of the family. (b) Find an equation for the family of linear functions such that f (2) = 1 and sketch...
What do all members of the family of linear functions f(x) = 1 + m(x +3) have in common sketched several members of the family.
What do all members of the family of linear functions f(x) = c - x have in common Sketch several members of the family.
Explain why leasing is an option for a company expansion. include, what leasing is and how it will benefit the company in it's expanding efforts. Also, how is capital or operating leasing recorded on...
Discuss the following statement: " A head of state signs a treaty on behalf of his country in excess of authority of his country, such treaty shal be void for inconsistency with domestic law of the...
A company is looking at new equipment with an installed cost of $415,329. This cost will be depreciated straight-line to zero over the project's 5-year life, at the end of which the equipment can be...

Show that the derivative of a functional on n can be expressed as the inner product T.

Question:

T. = Vf(x°)"x Df x°](x) х

Step by Step Answer:

Using the st...View the full answer

Foundations of Mathematical Economics

Students also viewed these Numerical Analysis questions