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

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

Cai, What is CAI? Explain its pitfalls.

What is CAI? Explain its pitfalls.

Two-tiered architecture, Two-tiered architecture: This approach basic...

Two-tiered architecture: This approach basically introduced a database server to replace the file server. The emergence of relational database management systems and graphica

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 evaluating information system investments, 1. What is Evaluating In...

1. What is Evaluating Information System Investments? 2. Is IS evaluation different to evaluation of other investments? 3. What approaches are used to evaluate IS investments

OPERATING SYSTEM, WHAT IS MULTIPLE CONTIGUOUS VARIABLE PARTITIONING

WHAT IS MULTIPLE CONTIGUOUS VARIABLE PARTITIONING

Summery, This is an article and I want great synopsis for the article

This is an article and I want great synopsis for the article

Data communications and networks, A magazine publisher based in Nairobi has...

A magazine publisher based in Nairobi has branch in Kisumu, and one in Mombasa. The company has kept in touch by telephone and courier service. Each office is networked. The networ

Mis implementation plan for university, what is mis implementation plan for...

what is mis implementation plan for university?

Infix expression, ab+cd-/

ab+cd-/

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