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

System software, note on high level language and low level language

note on high level language and low level language

Discuss the roles of system analysts in detail, Question 1 Explain the ...

Question 1 Explain the following system design tools in detail System Flowcharts Decision tables Decision trees Organization charts Question 2 Write s

Describe the binary search algorithm, QUESTION 1 Describe the binary se...

QUESTION 1 Describe the binary search algorithm using an example of your own. QUESTION 2 (a) By showing all your workings, give a big-O estimate for f(x) = (x + 1)lo

Anatomy of a digital computer, what is the major components?

what is the major components?

Systems software, Systems Software: Systems software is generally supp...

Systems Software: Systems software is generally supplied by the hardware manufacturers. It includes operating systems, assemblers, compilers, and interpreters (to convert prog

Programming languages, Programming Languages A number of programming la...

Programming Languages A number of programming languages are available for program writing. These languages can be classified as follows:     Machine language     Assem

Algorithm and flow chart, to find the sum and average of five input number

to find the sum and average of five input number

Define opportunity cost, Define opportunity cost The opportunity cost...

Define opportunity cost The opportunity cost of any commodity is defined as the cost of next best alternative, which has been sacrificed for producing the given commodity. Th

Flow decomposition technique to list the cycles, QUESTION (a) Consider ...

QUESTION (a) Consider the graph below, use the Flow Decomposition technique to list the cycles and paths produced.                                                (b) Pr

Functions, difference between recursion and iteration

difference between recursion and iteration

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