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

Central processing unit, The Central Processing Unit : Central Processing U...

The Central Processing Unit : Central Processing Unit (CPU) is the brain of the computer. The intricate electronic circuitry of the CPU performs the computer's tasks of handling d

Completeness in search - artificial intelligence, Completeness in search - ...

Completeness in search - artificial intelligence: It's also importance trying to calculate the number of solutions to a problem, and the density of those solutions amongst the

Oop, evolution of oop

evolution of oop

Printer output, Printer output : Consider what is required here. ...

Printer output : Consider what is required here. Do you just require management information on the one hand or camera copy for reprographic purposes? Inkjet Very quiet. C

Write a note on file permissions on linux, Question 1 Write a note on a...

Question 1 Write a note on advantages and disadvantages of Linux 2 Write a note on "File Permissions" on linux 3 Explain the usage of following Linux commands Cd kill

Port in a computer, what is the need of a port in a computer?

what is the need of a port in a computer?

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