Question: Show that the function f defined in the preceding example is bilinear.

Show that the function f defined in the preceding example is bilinear.

Step by Step Solution

★★★★★

3.49 Rating (152 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Every y is a linear functional on Hence yx x yx yx y x yx ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

914-M-N-A-O (641).docx

120 KBs Word File

Students Have Also Explored These Related Numerical Analysis Questions!

Q:

Show that the function f defined by f (x) := x = x/x2 + 1; x R, is a bijection of R onto {y : 1

Q:

In the following expression, determine with constants a and (, so that the function F defined is the d.f. of a r.v. F(x) = 0, x ( 0, and F(x) = + (e-x2/2, x > 0.

Q:

Show that the function f (x) in Example 3-5 satisfies the properties of a probability mass function by summing the infinite series.

Q:

Example 18 Prove that the function defined by f x tan x is a continuous function Solution The function f x tan x sin x COS X TU that cos x 0 i e x 2n 1 2 We have just proved that both sine and cosine...

Q:

Question 5 (15 points). a) Let f_(i),iinI be a collection of convex\ functions defined on a convex set \\\\Omega . Show that the function f defined as\ f(x):=sup_(iinI)f_(i)(x) is convex on the...

Q:

II I Discontinuity of the First Kind from the Left at x The function f X R is said to have a discontinuity of first kind from the left at x if the left hand limit exist at x but not equal to the...

Q:

(a) Show that the function f defined as follows for x = (x1, x2) R2 is a convex function. f(x) = max{x1, x2} (b) If fi and f2 defined on the convex set S are convex functions, show that the following...

Q:

Please answer and show work The function f' defined by the formula f'(x) = lim f(xth)-f(x) h is called the derivative of f with respect to x. The derivative of a function f can be interpreted either...

Q:

page Up Clear page 7 O down (7) (15 POINTS) Show that the function f defined by f ( 20 ) = 72 + 5 ' PER is a decreasing function. Apply the Integral Test to determine whether the series E n n = 0 n 2...

Q:

(10 pts) Let P(x) be a computable predicate. Show that the function f defined by: f(x1,x2)={x1+x2ifP(x1+x2) otherwise } is partially computable. (10) Let be a computable permutation (i.e. one-one...

Q:

Costing of units transterred; lost unita. Read, Inc., instituted a new process in October, durine which it started 10,000 units in Department A. Of the units started, 1,000 units, a normal numb were...

Q:

1. (BH 10.25) An important concept in frequentist statistics is that of a confidence interval (CI). Suppose we observe data X from a distribution with parameter 0. Unlike in Bayesian statistics, is...

Q:

All revenue recognition starts with a between the seller and a customer. a . performance obligation b . transaction price c . written contract d . contract

Q:

Define monetary policy and describe the main goals of monetary policy in Australia.

Q:

A study was performed on wear of a bearing y and its relationship to x1 = oil viscosity and x2 = load. The following data were obtained. (a) Fit a multiple linear regression model to these data. (b)...

Q:

The pull strength of a wire bond is an important characteristic. The following table gives information on pull strength (y), die height (x1), post height (x2), loop height (x3), wire length (x4),...

Q:

An engineer at a semiconductor company wants to model the relationship between the device HFE (y) and three parameters: Emitter-RS (x1), Base-RS (x2), and Emitter-to-Base RS (x3). The data are shown...

Q:

En respuesta a una solicitud de una oficina nacional, la gerente de un banco local afirm que el tiempo de servicio promedio en su banco para un cliente es de 9 segundos. Un estudiante que trabaja en...

Q:

SCENARIO 4-5 Below are the 2004 and 2005 year-end balance sheets for Kewell Boomerangs: 2005 2004 Cash $ 100,000 $ 85,000 Accounts receivable 432,000 350,000 Inventories 1,000,000 700,000 Total...

Q:

Write a program in java or python that decrypts an message using cesar cipher without keys, only using dictionary read from a file containing large english words.