User Account

All Pages

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

Line drawing algorithm, discus .line drawing algorithm

discus .line drawing algorithm

#title., what is input and output device? explain meaning of input and outp...

what is input and output device? explain meaning of input and output devices

What is vpn? list the different types of vpn, Question 1 What is routing? ...

Question 1 What is routing? Explain the principles of routing Question 2 Explain different types of server operations in Enterprise Networking Question 3 Briefly d

Homework , Using only the digits 1-6 how many five digit numbers can be for...

Using only the digits 1-6 how many five digit numbers can be formed? How many of these have at least a 5? How many of them have either no 5 or no 6?

Build heap operation, prove that the build heap operation is O(N)

prove that the build heap operation is O(N)

Cryptography, Question 1 Consider the one-time pad encryption scheme to en...

Question 1 Consider the one-time pad encryption scheme to encrypt a 1-bit message m, and assume m is chosen with uniform distribution from message space M={0,1}. Let E1 be the eve

Algorithim, product of two numbers

product of two numbers

C in, which one of the following is a valid identifier

which one of the following is a valid identifier

Objectives of laboratory organisation and management, Objectives When y...

Objectives When you have completed all the work in this unit you should be able to: List the basic components of a personal computer system, 1. describe the use of comput

Differences between wcdma and gsm, Differences between WCDMA and GSM

Differences between WCDMA and GSM

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

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!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

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