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

Fuction to delete a record in phone book in c, function to delete a telepho...

function to delete a telephone book record in c programing using struct and objects...?

Computer architecture, Write control sequence for adding the content of the...

Write control sequence for adding the content of the memory location whose address is at memory location pointed by immediate number NUM to register R1. Assume the number NUM is pr

Data communication , (iv) Suppose that the TCP entity receives a 1.5 megaby...

(iv) Suppose that the TCP entity receives a 1.5 megabyte file from the application layer and that the IP layer is willing to carry blocks of maximum size 1500 bytes. Calculate the

Uniform path cost search-artificial intelligence, Uniform Path Cost Search-...

Uniform Path Cost Search-Artificial intelligence A breadth first search will search the solution with the shortest path length from the first state to the goal state. Though, t

Time sharing, Time Sharing Time sharing allows a large number of users ...

Time Sharing Time sharing allows a large number of users at various remote terminals to simultaneously use a centrally located computer for problem solving. Each user operates

Magnetic memory, Magnetic Memory:  In the above section we have seen v...

Magnetic Memory:  In the above section we have seen various types of semiconductor RAMs. These high speed semiconductor storage devices (i.e. RAMs) are expensive. So we need s

Multiple queues, I need to create mulitple queues assignment that run concu...

I need to create mulitple queues assignment that run concurrently. It is like a queue simulation with  number of checkouts with a random probability of clients, joining any one

Syntax - programming language, Syntax: Syntax provides the structure a...

Syntax: Syntax provides the structure and how to formulate the phrase or sentence w.r.t grammar of the language. It tells us about which composition is allowed from the charac

Library function, Library function :   These are the functions supplied...

Library function :   These are the functions supplied with the programming language. The code or definition of library functions does not have to be written in a user program w

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