User Account

All Pages

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

What are the features that bash shell provides, Question 1 What are the fe...

Question 1 What are the features that Bash shell provides? Question 2 Explain Runlevels Question 3 Discuss the following                           1) Links 2) Doma

Numerical data , i don''t understand how to create a program using double, ...

i don''t understand how to create a program using double, int, float, short etc

Research and development , Research and Development  All intellectual ...

Research and Development  All intellectual activities consciously pursued and systematically completed generate useful information. Research (also Research and Development) is

Definition of Internal hardware interruptions, Internal interruptions are...

Internal interruptions are produced by convinced events which come during the execution of a program. These types of interruptions are handled on their totality by the hardware and

Integers, what is the size of a void integer and what is it''s range

what is the size of a void integer and what is it''s range

Output devices, Output Devices Video Display Unit (VDU) or Mo...

Output Devices Video Display Unit (VDU) or Monitor Video Display Unit is similar to a television. It is used to display the results of processes. The screen is il

Analogue computers, ANALOGUE COMPUTERS A computer is basically a proble...

ANALOGUE COMPUTERS A computer is basically a problem-solving device. In aircraft radio systems the problem to be solved is concerned with navigation, in that given certain inf

COMPUTER ORGANIZATION, Ask questio2. Define interrupt n #Minimum 100 words ...

Ask questio2. Define interrupt n #Minimum 100 words accepted#

Telecommunications network, Telecommunications network: "A telecommuni...

Telecommunications network: "A telecommunications network, at its simplest, may be regarded as comprising a transmission network, an arrangement of transmission paths and swit

Digital video disks, Digital Video Disks: DVD stands for Digital Video...

Digital Video Disks: DVD stands for Digital Video Disks or Digital Versatile Disks. A DVD stores much more data than a CD-ROM. Its capacities are 4.7GB, 8.5GB, and 20GB etc. T

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

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!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd