Let f : N N be any function where f(n) = o(n log n). Show that

Question:

Let f : N → N be any function where f(n) = o(n log n). Show that TIME(f(n)) contains only the regular languages.

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

Step by Step Answer:

Related Book For book-img-for-question

Introduction to the theory of computation

ISBN: 978-0470530658

3rd edition

Authors: Michael Sipser

See More Books

Question Posted: Sep 02, 2020 05:01 AM

See More Questions

Show how to sort n integers in the range 0 to n2 - 1 in O (n) time.
a. Let A be an infinite regular language. Prove that A can be split into two infinite disjoint regular subsets. b. Let B and D be two languages. Write B D if B D and D contains infinitely many...
A homomorphism is a function f : from one alphabet to strings over another alphabet. We can extend f to operate on strings by defining f(w) = f(w 1 )f(w 2 ) f(wn), where w = w 1 w 2 w n and...
1. You are the audit partner in charge of five audits which have recently been completed. You are reviewing the files and you now only have to decide which form of audit report you will sign off....
Find the cutoff value for a test with = 0.05. Find the power with = 4.0, = 7.0, and = 10.0. Explain why the power is higher for larger values of . Consider the data in Exercise 23, where calls...
Specify the following views as queries in XQuery on the company XML schema shown in Figure 13.5. a. A view that has the department name, manager name, and manager salary for every department b. A...
A venture capitalist with a utility function $$U(x)=\sqrt{x}$$ carried out the procedure of Example 11.3. Find an analytical expression for $$C$$ as a function of $$e$,$ and for $$e$$ as a...
John died in 2015. What amount, if any, was included in his gross estate in each of the following situations: a. In 1997, John created a revocable trust, funded it with $400,000 of assets, and named...
Why should bond investors be cautious when relying on yield to maturity? Is it an accurate measure of rate of return for investors who might not hold their bonds to maturity?
1. Of the five facts that contributed to Kolds failure, which one do you think was the most damaging? Explain your answer. 2. Describe the feasibility analysis that Keurig Kold should have conducted...
Let MAX-CLIQUE = {G, k| a largest clique in G is of size exactly k}. Use the result of Problem 7.47 to show that MAX-CLIQUE is DP-complete.
Call a regular expression star-free if it does not contain any star operations. Then, let EQ SFREX = {R, S| R and S are equivalent star-free regular expressions}. Show that EQ SFREX is in coNP. Why...
Find the lateral surface area over the curve C in the xy-plane and under the surface z = (x, y). (x, y) = 3 + sin(x + y); C: y = 2x from (0, 0) to (2, 4)
What do you mean by normal stress and shear stress?
Define: (i) Sensible heat (ii) Latent heat (iii) Dryness Fraction (iv) Enthalpy of evaporation
Define stress and strain.
What are the ranges of specific speed and head of Pelton, Francis, and Kaplan turbines?
Distinguish between a heat engine, a heat pump, and a refrigerator.
The following selected transactions were completed by Epic Co. during August of the current year: Aug. 3. Purchased merchandise on account for $33,400, terms FOB destination, 2/10, n/30. 9. Issued...
A crop-dusting plane flies over a level field at a height of 25 ft. If the dust leaves the plane through a 30 angle and hits the ground after the plane travels 75 ft, how wide a strip is dusted? See...
Internet entities (routers, switches, DNS servers, Web servers, user end systems, and so on) often need to communicate securely. Give three specific example pairs of Internet entities that may want...
Using the mono alphabetic cipher in Figure 8.3, encode the message "This is an easy problem." Decode the message "rmij'u uamu xyj."
What is the role of the anchor MSC in GSM networks?
A franchisee has yearly gross sales of $200,000, net profit of $30,000, gross profit of $15,000, and brand royalties of 5 percent. What amount is the franchisee likely to pay the franchisor per annum?
Some remedies and preventive measures have been put forth to slow or forestall currency crises, such as capital controls and intermediate regimes (i.e., fixed or floating exchange rates). Discuss...
The editor of Marker Buzz, a business m taff to come to the next staff meeting with suggestions based on who reads the magazine and any of ditor using to improve decision making?

Let f : N N be any function where f(n) = o(n log n). Show that

Question:

Step by Step Answer:

fn2n1if n is odd2nif n is even for all nN fNNis defined asIt can be ob...View the full answer

Introduction to the theory of computation

Students also viewed these Computer science questions