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

Idk, A rock weighs 33.6 N on Planet X and 49 N on Earth. What is g on Plane...

A rock weighs 33.6 N on Planet X and 49 N on Earth. What is g on Planet X

Define Interprocess Communication and its race condition?, In view of the f...

In view of the fact that processes frequently need to communicate with other processes therefore, there is require for a well-structured interaction, devoid of using interrupts, a

Simple Algorithm, How to make an assignment entitled "Decision Making: Fore...

How to make an assignment entitled "Decision Making: Forecasting" and I am required to make a pseudocode and flowchart based on the task.

Choice of medium - transmission channels, Choice of Medium: All the tr...

Choice of Medium: All the transmission channels discussed in the foregoing paragraphs can be used as point to point connections or as broadcast systems. Transmitting informati

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

CAI, explain CAI pitfalls

explain CAI pitfalls

High level languages, High level languages: High level languages (conv...

High level languages: High level languages (converted to machine code by compiler or equivalent) are much easier to program, as well as to understand. Several high level langu

Discuss the challenges in it infrastructure management, Question 1 What is...

Question 1 What is difference between cathode ray tube monitors and LCD monitors? List three popular types of operating systems and give brief introduction of each type Que

Wide area networks and metropolitan area networks, Metropolitan Area Networ...

Metropolitan Area Networks : These type of networks generally cover specific metropolitan area and provide to them all the services.  Wide Area Networks (WANs): Wide Are

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