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

Software, what factors might be significant in your decision

what factors might be significant in your decision

Operating System, variable partioning

variable partioning

Perform a mail merge to send invitation, Question Elaborate the various...

Question Elaborate the various steps in performing a Mail Merge. Perform one mail merge operation for sending invitation for a conference which is being conducted in your organ

Port in a computer, what is the need of a port in a computer?

what is the need of a port in a computer?

Design problem, Design Problem 1. Implement a basic file system managed fr...

Design Problem 1. Implement a basic file system managed from within a file. The file system should have the following capabilities: i. List files stored along with their sizes.

Factors and criteria for computer, what are the factors and criteria for co...

what are the factors and criteria for computer (from business point of view)?

Sql server management studio assignment, Department (DeptNo, DeptName, Offi...

Department (DeptNo, DeptName, Office, Phone) Employee (EmpNo, FirstName, LastName, JobTitle, HireDate, Salary, MgrNo, Deptno) Customer (CustNo, CompanyName, Street, City, State, Zi

Computer architecture, mips program in java

mips program in java

#algorithm, #to determine whether given year is leap year or not

#to determine whether given year is leap year or not

Need of operating system, Need of operating system: What kind of facil...

Need of operating system: What kind of facilities operating system provides to the users and programs: The operating system provides interfaces for the user (keyboard, m

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