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

Central processing unit, Central Processing Unit: A Central Processing...

Central Processing Unit: A Central Processing Unit (CPU) in a computer system is an extremely fast device as compared to the main memory, but it can not work on its own. It de

Visual Basic 2012, Can someone help me write a code for force = mass * acce...

Can someone help me write a code for force = mass * acceleration.

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.

Fms control-display unit, FMS CONTROL-DISPLAY UNIT: The CDU provides a ...

FMS CONTROL-DISPLAY UNIT: The CDU provides a means for the crew to communicate with the FMC.  It contains pushbutton key controllers and a display screen.  The keys are of two

Application software, Application Software:   Application software is ...

Application Software:   Application software is designed and developed to accomplish one or more specific task or solve a particular problem.    Application software may be

What is microcontroller?, Microcontroller: A highly integrated microprocess...

Microcontroller: A highly integrated microprocessor designed specifically for use in embedded systems. Microcontrollers typically includes an integrated CPU, memory (a small amount

Describe counting instructions, They are used to reduce or enlarge the cont...

They are used to reduce or enlarge the content of the counters. DEC INC DEC INSTRUCTION Idea: To diminish the operator. Syntax: DEC destiny This action subtracts 1 from the destiny

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

Architecture, explain how modern computers conform to john von nuemann''s a...

explain how modern computers conform to john von nuemann''s architeture?

Management information system, suggest 5 ways by which new products and ser...

suggest 5 ways by which new products and services can be developed using management information system

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