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

C++, how to use expressions in c++ program with examble

how to use expressions in c++ program with examble

Definition of procedure, A procedure is a compilation of instructions to wh...

A procedure is a compilation of instructions to which we can express the flow of our program, and once the execution of these instructions is over power is given back to the next l

Data base software, Data Base Software: Another major type of applicat...

Data Base Software: Another major type of application comes under the heading database software; which allows for the collection of, searching for and manipulation of informat

Explain the process of fetching a word from the memory, Question 1 Explain...

Question 1 Explain the functional units of a basic computer with a neat diagram Question 2 Explain how you can get 1's complement of a given binary number? Also explain 1'

Algorithms, 1. In each of the following situations, indicate whether f = O...

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

Dataflow modeling for dsp design, Dataflow Modeling for DSP Design The ...

Dataflow Modeling for DSP Design The necessary components in the research of application-specific computer architectures are: 1) a clearly identified set of problems that can b

Data buses, Data buses: The availability of reliable digital semi-condu...

Data buses: The availability of reliable digital semi-conductor technology has enabled the inter-communication task between different equipment to be significantly improved. P

Basic of simulation, Task 1 Study various types of systems and simulate a s...

Task 1 Study various types of systems and simulate a system of your own. Task 2 Study various models and enumerate the various steps for designing a corporate model

Cppm, sum of first 100 integers

sum of first 100 integers

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