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

RMO CSMS marketing subsystem, I need to write a narrative n overview of the...

I need to write a narrative n overview of the diagram and an analysis of the actors

Communications programs , Communications Programs : By communications prog...

Communications Programs : By communications programs, we mean those programs which allow a computer to communicate via a transmission cable to another electronic device. Here we d

Application-specific multiprocessors, Application-Specific Multiprocessors ...

Application-Specific Multiprocessors Although this book details a variety of similar architectures, it specializes in the design of such architectures in the perspective of par

What is Semaphore and explain with example?, Description A semaphore is a...

Description A semaphore is a confined variable whose value can be accessed and changed only by the operations P and V and initialization operation known as ''Semaphoiinitislize''.

Multithreaded Programming in python, Running more than a few threads is lik...

Running more than a few threads is like running several different programs at the same time as, but with the following profits: • Multiple threads inside a process share the same d

Coaxial cables, Coaxial Cables: Another metallic transmission medium w...

Coaxial Cables: Another metallic transmission medium which offers a large bandwidth, is the coaxial cable. Such cables consist of an outer protective shell made of copper tube

Third generation of computers, THE THIRD GENERATION (1966-1975) ...

THE THIRD GENERATION (1966-1975) The introduction of IBM-360 series of computers in 1965 marked the beginning of this generation. The transistors were replaced by solid

Explain actual process of ftp applications, Question 1 How do you inse...

Question 1 How do you insert Image source code in HTML Question 2 Explain actual process of FTP applications Question 3 Write a short note on TIFF BMP

Artificial intelligence, Artificial Intelligence Artificial Intelligen...

Artificial Intelligence Artificial Intelligence is difficult science to explain, as it has fuzzy borders with  computer science, mathematics,  philosophy, physics,  psychology

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