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

Computer processing, Computer Processing: Most of the earliest compute...

Computer Processing: Most of the earliest computer memories have been based on physical elements which can exist in just one of the two states (on or off): such an element cor

Project management, #Assignment 1: Project Management and Information Secur...

#Assignment 1: Project Management and Information Security Write a two to three (2-3) page paper that addresses the following: Explicate in detail the importance of project managem

Counters and registers, design a synchronous, recycling, MOD-12 counter wit...

design a synchronous, recycling, MOD-12 counter with D FF''s. Use the states 0000 through 1011 in the counter.

Ip addressing assignment help, An IP address consists of 4 contiguous octet...

An IP address consists of 4 contiguous octets and is generally written in Dotted Decimal Notation in the form: A.B.C.D Where: A represents the most significant octet, D the leas

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

#to determine whether given year is leap year or not

What is the structure of a global.asax file in asp.net, Question (a) De...

Question (a) Describe the following built-in functions and illustrate each using simple examples. Specify every possible parameters where required Replace() StrComp()

Explain data movement ?, In any program it is essential to move the data in...

In any program it is essential to move the data in the memory and in the CPU registers; there are a number of ways to do this: it can copy data in the memory to a number of registe

Explain Process States and Process Control Block (PCB), Process States Thr...

Process States Throughout the lifespan of a process, its execution position may be in one of four states: (linked with each state is generally a queue on which the process resides)

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