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

Converting binary to decimals, can you help me convert binary to decimals

can you help me convert binary to decimals

Types of computer on basis of size and capabilities, Another way of classif...

Another way of classifying a computer system is based upon its size and capabilities: Microcomputers: Microcomputers are systems based on the use of microprocessors. A Micr

LIGHTING OF A STAIRCASE BY TWO SWITCHES, 1. SHOW THE OPERATION OF THE LIGHT...

1. SHOW THE OPERATION OF THE LIGHTING SYSTEM?

Peripheral, What is peripheral & non-peripheral device

What is peripheral & non-peripheral device

Command Line Arguments, You may have seen, as, that many programs can be ru...

You may have seen, as, that many programs can be run so that they give you with some basic information concerning how they should be run. Python permits you to do this with -h: $ p

Computer, what is the first computer in this world

what is the first computer in this world

What is i-node number, Question 1 Bring out the advantages of Linux Ope...

Question 1 Bring out the advantages of Linux Operating systems Question 2 Match the Symbols with their respective file types              Symbol               File N

How to create basic assembler program?, The primary step is to start the De...

The primary step is to start the Debug; this step only consists of typing debug [Enter] on the operative system on time. the "a" (assemble) command is used To assemble a program on

Which port does FTP uses, Why is it called out of band protocol? A1) FTP us...

Why is it called out of band protocol? A1) FTP uses port 20 and port 21; port 20 is used for data connection, whereas port 21 is used for control connection. FTP is known as out-of

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

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