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

Memory access, Memory access: The use of semi-conductor memory elements...

Memory access: The use of semi-conductor memory elements (bistables) has been made possible by the use of large scale integrated circuits (LSI) which provide reliability, ease

Explain TCP and UDP features in detail and compare, Which applications requ...

Which applications require TCP and why? Also specify which applications require UDP and why? A4) TCP is also known as connection-oriented: setup required between client and server

Unix shell and history problem, UNIX Shell and History feature. 1.Creating ...

UNIX Shell and History feature. 1.Creating a child process. 2.Creating a history feature. Its exactly "programming project 1 - Unix Shell and History Feature (p.157-159)" in the Si

General considerations for search - artificial intelligence, General Consid...

General Considerations for Search If we may specify the starting state, the operators and the goal check for a search problem, then we know from where to start, how to move and

Briefly explain the stage and the timeline, Question 1 Briefly explain the...

Question 1 Briefly explain the Stage and the Timeline Question 2 What is Device Central? How it is useful for previewing mobile content? Question 3 Which are the f

Fuction to delete a record in phone book in c, function to delete a telepho...

function to delete a telephone book record in c programing using struct and objects...?

Digital logic design, Find the complement of the following decimal 7

Find the complement of the following decimal 7

Discuss the advantages and disadvantages of printed indexes, QUESTION 1 ...

QUESTION 1 Discuss the advantages and disadvantages of printed indexes. QUESTION 2 (i) The Library of Congress Subject Headings List and the Sears Subject Headings List

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