Question: Let V be an alphabet, and let A and B be subsets of V* with A B. Show that A* B*.

Let V be an alphabet, and let A and B be subsets of V* with A ⊆ B. Show that A* ⊆ B*.

Step by Step Solution

★★★★★

3.45 Rating (174 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

This follows directly from the definition Ever... 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

923-M-C-M-S (2695).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

Let be an alphabet. Let xi g for 1

Q:

Let V be an inner product space. Show that if w is orthogonal to each of the vectors u1,u2, ... ,ur, then it is orthogonal to every vector in span (u1, u2,..., ur,}.

Q:

Let V be an inner product space. (a) Prove that (x. v) = 0 for all v V if and only if x = 0. (b) Prove that (x. v) = (y. v) for all v e V if and only if x = y. (c) Let v1,...,vn be a basis for V....

Q:

x Can be untested by / mach Pow/IDL/MIDSEM/306-202 muttible little machin * Next possible slat is distinctly set cal pawn of siet inpot have many c) Given that LI = {ab, be, abc} and L2 = { b, bb,...

Q:

2. Let there be the set V which is defined to be V = y ( t ) | d - y (t ) + y(t) = 0, t E [0, 27], y(0) = yo, = yo where yo, yo ER dy(t) (a) Recall the vector space (C' [0, 27], R) from homework 2:...

Q:

13. Let V be an inner product space, S and So be subsets of V, and W be a finite-dimensional subspace of V. Prove the following results. (a) So C S implies that S- C S.. (b) SC (S ) ; so span(S) C...

Q:

NOTE: For (d), f(x) and g(x) are two general convex functions. Consider the log-likelihood for the single covariate (i.e. each 2; ER) logistic regression: log L(a) = (1-yi)(-00 - Q121) -...

Q:

Let V and W be F-vector spaces and let B = (f1, . . . , fn) and A = {g1, . . . , gm} be bases of V and W respectively. (a) Prove that for every matrix B in Mmxn(F), there exists a linear...

Q:

How to solve (b) (c) and (d)? Problem 1. Let V be a vector space with ordered basis B = (u], ..., un), where n E N. (a) Let (-, .) be any inner product on V, and let z, y E V. Prove if (1, U) = (y,...

Q:

Let (M. d) be a metric space and A, B be two subsets of M. Show that cl(An B) C cl(A) cl(B). Is it always true that cl(An B) = cl(A) nd(B)?

Q:

Research paper on Low Self-esteem

Q:

MamaMias Pizza purchases its pizza delivery boxes from a printing supplier. MamaMias delivers on-average 225 pizzas each month (assume deterministic demand). Boxes cost 23 cents each, and each order...

Q:

2. The central processor unit is connected to the rest of the computer system using what three buses?

Q:

1. How could archival data help you understand student views of the team as a supplement to the observational data?

Q:

If the needle in Problem 11 has length h > L, its possible for the needle to intersect more than one line. (a) If L = 4, find the probability that a needle of length 7 will intersect at least one...

Q:

Show that y = x x1 is a solution of the differential equation xy` + y = 2x.

Q:

Verify that y = sin x cos x cos x is a solution of the initial value problem y` + (tan x)y = cos2x y(0) = 1 on the interval /2

Q:

I neef help completing questions 3-5. Thank you. University Signature Assignment - Page 2 of 2 3. (CLO 2) Test a claim that the mean height of your population is different from 64 inches. Use the...

Q:

Martin Industries just paid an annual dividend of $1.60 a share. The market price of the stock is $27.70 and the growth rate is 9.0 percent. What is the firm's cost of equity? 9.56 percent 16.68...

Q:

(74) Hypoth x (74) Interpr x (74) Interpr x C Is There A [ x * Search Res x C The Same x G wha irses/13778/assignments/348159?module_item_id=827118 Do men take a different amount of time than women...