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

Telecommunications standards, TELECOMMUNICATIONS STANDARDS: They are d...

TELECOMMUNICATIONS STANDARDS: They are defined internationally by the CCITT (Consultative Committee for International Telegraphy and Telephones), but to deal with the rapidly

Probability, 2. Mike sells on the average 15 newspapers per week (Monday – ...

2. 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 w

Expert system, Develop a simple expert system to pick ten stocks to conside...

Develop a simple expert system to pick ten stocks to consider. Create seven or more rules that could be used in such an expert system. Create five cases and use the rules

How Round robin scheduling algorithm is useful than others ?, Round robin (...

Round robin (RR) is one of the simplest, oldest, fairest and most extensively used algorithms. • In the round robin scheduling, processes are posted in a FIFO manner but are given

Sequential writing in fcb files, Previous to we can perform writing to the...

Previous to we can perform writing to the disk it is essential to define the data transfer region using for this end the 1AH function of the 21H interruption. The 1AH function does

Hotel database, Create a database,show all ojectives and give a fruitful in...

Create a database,show all ojectives and give a fruitful introduction and also state how it will be implemented

What is multi-protocol label switching (mpls), QUESTION (a) What is Mul...

QUESTION (a) What is Multi-Protocol Label Switching (MPLS)? List the main advantage of running MPLS in a service provider network (b) What is a label? Explain the structure

System administration and linux/unix, Write a system using script written i...

Write a system using script written in asuitable scripting language to automate taking a basic linux server instance and provisioning it with particular applications based on its I

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