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

Android database file not loading on real device, i have an android app whi...

i have an android app which uses a database file called question db which is stored in the assets file. I have tried a database example called android application development but f

What is atm cell, Header contains routing and error control information Pay...

Header contains routing and error control information Payload carries the actual user information, either voice, data or video

List two i/o virtualization methods, Question 1 List two I/O virtualizatio...

Question 1 List two I/O virtualization methods. Based on different features compare these two methods Question 2 Discuss three areas considered by organizations to secure the

Algorithmic, define it #Minimum 100 words accepted#

define it #Minimum 100 words accepted#

Explain the effects of a lack of communication, Question 1 Explain the dif...

Question 1 Explain the different categories of Software applications Question 2 Write a note on Data Dictionaries Question 3 Explain the following (a) Top-down testin

Computers, Computers One of the most  important invention in the desig...

Computers One of the most  important invention in the design of digital  circuits  is that  of the general- purpose "stored program" computer or device. Computers are a partic

Programmable rom (prom) , PROGRAMMABLE ROM (PROM): The user can program...

PROGRAMMABLE ROM (PROM): The user can program a PROM after purchase.  Each memory bit element in the PROM contains a nichrome or silicon link that acts as a fuse.  The user can

Discuss on segmentation, Question 1 What is an operating system? Explain i...

Question 1 What is an operating system? Explain its functions Question 2 Discuss round-robin scheduling Question 3 Discuss on segmentation Question 4 What are the s

Input Devices, Keyboards, microphones, and mice have generally been used as...

Keyboards, microphones, and mice have generally been used as the standard input devices for most computer systems. The popularity of video and computer games has led to the introdu

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