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

Digital wireless telephone networks, Mobile telephone networks started with...

Mobile telephone networks started with analog technology. Analog cellular networks were known as first generation (1G) networks. Such networks had limited capacity, and were subjec

Client - server architecture, Client/ Server Architecture:   As the ca...

Client/ Server Architecture:   As the capacity and power of personal computers improved, the need to share the processing demands between the host server and the client workst

Ricochet wireless data network, The Internet is replete with great success ...

The Internet is replete with great success stories and sad failures. While it is always nice to hear about the successes, more can probably be learned from the failures. In this ca

Perverse software, Perverse software: Perverse software is a program w...

Perverse software: Perverse software is a program which causes hindrances in other programs execution in such a way resulting in modification or complete destruction of data w

Internal storage, Internal Storage: Internal storage is also known as ...

Internal Storage: Internal storage is also known as main, primary, or (for historical reasons) core storage, or, memory. It is used to hold those instructions and data require

Logic unit, explain logic unit

explain logic unit

Line decoders, number of 4 to 16 line decoders required to get 8 lto 256 li...

number of 4 to 16 line decoders required to get 8 lto 256 line decoder

Describe circuit switching and message switching, Question 1 List the Basi...

Question 1 List the Basic essential components of a computer network Question 2 What are the functions of (i) Routers (ii) Bridges Question 3 What are the advantag

Gantt chart, Gantt chart

Gantt chart

Computer programming, outline and explain in detail any 10 application area...

outline and explain in detail any 10 application areas of vb.net

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