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

Problem occurs during pipelining , While pipelining can cruelly cut the tim...

While pipelining can cruelly cut the time taken to execute a program, there are troubles that cause it to not work as well as it possibly shall. The three stages of the instruction

CAI, explain CAI pitfalls

explain CAI pitfalls

Define Shortest-Job-First (SJF) Scheduling ?, • It is also known as Shortes...

• It is also known as Shortest-Process-Next (SPN). • Shortest-Job-First (SJF) is a non-preemptive order in which waiting job (or process) with the smallest predictable run-time-to-

Goals of autonomous rational agents, Goals of Autonomous Rational Agents: A...

Goals of Autonomous Rational Agents: Artificial intelligence One possible way to improve an agent's performance is to enable it to have some kind of details about what it is tr

Use Decision Tree Technique to Optimize Institution’s Studen, Use Decision ...

Use Decision Tree Technique to Optimize Institution’s Student Admission Process– A Case Study

CAI, What is CAI? Explain its pitfalls

What is CAI? Explain its pitfalls

What is packet switching? explain, Question 1 What are the five subscriber...

Question 1 What are the five subscriber-related signaling functions performed by the operator? Question 2 Compare Microprogrammed control and Hard-wired control Que

What are the goals of wap architecture, Question 1 Explain the naming conv...

Question 1 Explain the naming conventions of functions in WML scripts and also explain characteristics of functions in WML Question 2 What is WML input field? Explain WML

Cppm, sum of first 100 integers

sum of first 100 integers

Opening documents situated on different computers - network, Opening Docume...

Opening Documents Situated on Different Computers In order to work with documents situated on other computers, you need sufficient rights to access the folder in which it is

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