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

Explain CPU scheduling and its objectives?, Definition of CPU scheduling: T...

Definition of CPU scheduling: The assignment of physical processors to processes allows processors to complete work. The process of determining that for which process which pro

Super computers, Super Computers: The specialised demands and requirem...

Super Computers: The specialised demands and requirements of science, industry and military have led to the creation of powerful super computers. For numerically intensive com

Short program to practice assembly language loops, Purpose of Code This...

Purpose of Code This is a short program to practice assembly language loops and if/else statements. You will use various jump commands and the cmp instruction.  The progra

System administration and linux/unix, Write a system using script written i...

Write a system using script written in asuitable scripting language to automate taking a basic linux server instance and provisioning it with particular applications based on its I

Cryptography, Question 1 Consider the one-time pad encryption scheme to e...

Question 1 Consider the one-time pad encryption scheme to encrypt a 1-bit message m, and assume m is chosen with uniform distribution from message space M={0,1}. Let E1 be the ev

Operation system, how to create 1000 random processes with time scales betw...

how to create 1000 random processes with time scales between 10 to 400 milliseconds

Virtual memory, What is virtual memory? How address mapping is done in cach...

What is virtual memory? How address mapping is done in cache memory? Elaborate your answer with examples.

Python Numbers, Number data types store numeric values. They are an immutab...

Number data types store numeric values. They are an immutable data type, which means that changing the value of a number data type results in a newly allocated object. Number objec

Hacking, how can i hack a server

how can i hack a server

ASSIGNMENTS, A STAIRCASE LIGHT IS CONTROLLED BY TWO SWITCHES ONE AT THE TOP...

A STAIRCASE LIGHT IS CONTROLLED BY TWO SWITCHES ONE AT THE TOP OF THE STAIRS AND ANOTHER AT THE BOTTOM OF STAIRS

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