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

Assembly Language Project, Our instructor gave us a project in making a mec...

Our instructor gave us a project in making a mechanical game or simple device using assembly language, can anyone give me a an example of a project description for our proposal?

Collaboration, Collaboration: Collaboration is defined as an act or pr...

Collaboration: Collaboration is defined as an act or process of working together on a project or some intellectual activity. But what is the importance of collaboration? The w

Logic instructions , They are used to act upon logic operations on the oper...

They are used to act upon logic operations on the operators. AND OR, NEG NOT TEST XOR AND INSTRUCTION Function: It acts upon the conjunction of the operators bit by bit. Syntax: A

The microprocessor, THE MICROPROCESSOR The three fundamental units, whi...

THE MICROPROCESSOR The three fundamental units, which comprise a CPU, have now been discussed in general terms.  So too has a microprocessor, because a microprocessor can be de

Arrays and strings, This is a C file. 1. The program starts by printing you...

This is a C file. 1. The program starts by printing your name with an end sign ">". For example, "NAME >"; 2. Then, you can type in a string. If the string is not "vi xxx", you pri

Classification of computers, Classify computer systems according to capacit...

Classify computer systems according to capacity. How they are different from computers according to the classification of technology. Provide comparative

Assignment of making a small database, assignment of making a small databas...

assignment of making a small database in C# with a back end support of MS Access. i required a form with following options : Enter a new user (user name, father name, age, d

Assembly, Design and develop a program to calculate the sum of an integer n...

Design and develop a program to calculate the sum of an integer number using MIPS assembly language.

Find job, I want assignment writingjob

I want assignment writingjob

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