Algorithms, Basic Computer Science

Assignment Help:
1. In each of the following situations, indicate whether f = O(g), or f = O(g), or both (in which case f = T(g)). Briefly explain why.
(a) f(n)=10n5 +8n2,g(n)=20n4 +7n3 +300 (b) f(n) = log 8n, g(n) = log(n2)
(c) f(n)=n3logn,g(n)=13n 5
(d) f(n) = (3)n, g(n) = 6n3 2
2. We introduced in class that when analyzing algorithm complexity, we can ignore the lower-order terms and the coefficient of the leading term. For example, 3n + 5 ? n. Using the formal definition of the big-O notation, show that 3n + 5 = O(n) and n = O(3n + 5), in other words, 3n + 5 = T(n).
3. The Fibonacci numbers F0, F1, F2, . . ., are defined by the rule F0 =0,F1 =1,Fn =Fn-1 +Fn-2.
Use induction to prove that Fn = 20.5n for n = 6.
4. Write a python program to compute the Fibonacci numbers F8, F28, F48. What are the three values? What is the total number of additions needed by your program? Provide your answers as well as your source code.

Related Discussions:- Algorithms

Data communication , (iv) Suppose that the TCP entity receives a 1.5 megaby...

(iv) Suppose that the TCP entity receives a 1.5 megabyte file from the application layer and that the IP layer is willing to carry blocks of maximum size 1500 bytes. Calculate the

Magnetic tapes and magnetic disk, Magnetic tapes and Magnetic Disk: Ma...

Magnetic tapes and Magnetic Disk: Magnetic tapes are very commonly used for storing large quantum of data for which rapid access is not necessary; specially for archival data

What is the delay of the filter, QUESTION We wish to use the Kaiser win...

QUESTION We wish to use the Kaiser window method to design a discrete-time filter with generalized linear phase that meets specifications of the following form:

Define stocktaking, QUESTION (i) Define each of the following terms: ...

QUESTION (i) Define each of the following terms: a) Book trade catalogue b) Stocktaking c) Ephemera d) Contracting out e) Special library (ii) Discuss the adv

How will url services be affected, URL services has two divisions. Basic we...

URL services has two divisions. Basic webpages and custom webpages. Ricky Vega, Custom's manager wants to find out why Custom is not profitable. He has prepared the following repor

Explanation of different graphics applications, Problem 1 What are grap...

Problem 1 What are graphic applications? Explanation of different graphics applications Problem 2 Open the case cover of your CPU of your computer system and l

Arinc 429 data bus specifications, ARINC 429 DATA Bus SPECIFICATIONS: A...

ARINC 429 DATA Bus SPECIFICATIONS: ARINC 429 sets specifications for the transfer of digital data between aircraft electronic system components and is a "One-way" communication

Explain data transfer and arithmetic operations, Question 1 Convert the fo...

Question 1 Convert the following binary numbers to decimal 101110 1110101 110110 101010 110010 Question 2 Explain CPU module and types of transfers betwe

Project of interactive powerpoint in human computer , Hi There, can you h...

Hi There, can you help me with my small project please, i have sent it yesterday and you dont replay. can you please ethir lem me know you can do it or no Regrads Meshari

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd