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

Instructions for cycles: loop, They transfer the process flow, provisionall...

They transfer the process flow, provisionally or totally, to a destiny, replicating this action until the counter is zero. LOOP LOOPE LOOPNE LOOP INSTRUCTION reason: To produce a c

Computer architecture, #formular for calculating speed up factor fo super s...

#formular for calculating speed up factor fo super scalar architecture, super pipeline architecture and VLIW with m different functional units.

Websites, Hanson websites are built to work for your business and are built...

Hanson websites are built to work for your business and are built on the concept of intelligent website. An intelligent website is more than just a brochure on the web. It allows y

Probability, Mike sells on the average 15 newspapers per week (Monday – Fri...

Mike sells on the average 15 newspapers per week (Monday – Friday). Find the probability that 2.1 In a given week he will sell all the newspapers [7] 2.2 In a given day he will sel

Introduction to laboratory organisation and management, INTRODUCTION : In ...

INTRODUCTION : In the earlier units of this block you learnt the importance of proper filing and record keeping. You are also aware that in laboratory organisation and management,

What is Assembly Language?, Assembly language is fundamentally the local la...

Assembly language is fundamentally the local language of your computer. In principle the processor of your machine understands machine code (consisting of ones and zeroes). But wit

Computer organization, what is cache? what are registers?

what is cache? what are registers?

Greedy search-artificial intelligence, Greedy Search-artificial intelligenc...

Greedy Search-artificial intelligence: If we have a heuristic function for states, as defined above, then we may simply measure each state with respect to this measure an

Base, 123 is not valid in which base value

123 is not valid in which base value

Simple batch systems, Simple Batch Systems: Early machines were very...

Simple Batch Systems: Early machines were very expensive, and therefore it was important to maximize machine utilization. To improve utilization, the concept of batch operat

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