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

Primary or foreign key, QUESTION Your Library is currently offering acc...

QUESTION Your Library is currently offering access to the Internet for its subscribers on a fee paying basis. Subscribers should make a booking for each slot of one hour in adv

Basic parts of a computers, The basic parts of a computers are shown in Fig...

The basic parts of a computers are shown in Figure.   Input devices such as a keyboard, mouse or scanner are used to enter input (data and/or instructions), directly

Use triggers to maintain referential integrity, At times, Brewbean''s has c...

At times, Brewbean''s has changed the id number for existing products. In the past, they have had to add a new product row with the new id to the BB_PRODUCT table, modify all the c

Widening web, The Widening Web The idea, the whole world is agog...

The Widening Web The idea, the whole world is agog now had accidental origins. Here is how it all began. In early 1969, the U.S. Defence department financed a network fo

Flowcharts, flowchart that display yhe students average scores for 3 quizze...

flowchart that display yhe students average scores for 3 quizzes.Assume that there are 3 sections having 5 student each.Valid number is 1-100 for the quizzes.Enter an invalid numbe

Artificial intelligence-internal structure of agents, Internal Structure of...

Internal Structure of Agents We have looked at agents in conditions of their outside influences and behaviors: they take effort from the atmosphere and do lucid actions to chan

Find job, I want assignment writingjob

I want assignment writingjob

Turn-around, The term ‘page traffic’ describes

The term ‘page traffic’ describes

Networks, Networks: There are different interpretations for the term °...

Networks: There are different interpretations for the term °nets% The Oxford English Dictionary states that 'a network is an interconnected chain or system of immaterial thing

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