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

Operating System, variable partioning

variable partioning

Human computer Interface, discuss waterfall

discuss waterfall

Asymptotic notation, Explain in brief the asymptotic notations

Explain in brief the asymptotic notations

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

Kids, how do you let kids learn on it

how do you let kids learn on it

Software design, Ineed help to do my homework which is for designing of req...

Ineed help to do my homework which is for designing of requirenments.

Diskless workstations, Diskless workstations:    Most people assume th...

Diskless workstations:    Most people assume that the operating system is stored on a disk that is connected directly to the computer, but this is not necessarily true. If the

Disaccharide sugars, Disaccharide Sugars: Disaccharide - Carbohydrate made...

Disaccharide Sugars: Disaccharide - Carbohydrate made up of two monosaccharides (a sugar dimer) Condensation reaction between 2 monosaccharides Linkage between

Rooted tree, Ask qu The figure below shows a rooted tree, 756_Find the hei...

Ask qu The figure below shows a rooted tree, 756_Find the height.png 1.1. Find the height/level of the tree as shown above?estion #Minimum 100 words accepted#

Magnetic media, what are the five precautions to be observed when handling ...

what are the five precautions to be observed when handling magnetic media?

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