Question

Determine wether the statements are true or false 1. Suppose we have f(n) = nlgn ,...

Determine wether the statements are true or false

1. Suppose we have f(n) = nlgn , g(n) = 5n , then f(n) = O(g(n)).

2. Suppose we have f(n) = nn/4 , g(n) = n1/2lg4n , then f(n) = O(g(n)).

3. No comparison-based sorting algorithm can do better than Ω(n log n) in the worst-case

4. Quicksort running time does not depend on random shuffling.

Engineering   Computer-Science   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

IF YO HAVE ANY DOUBT COMMENT

LIKE IT IF YOU UNDERSTOOD 6

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose an array A stores n integers, each of which is in {0, 1, 2, ...,...
Suppose an array A stores n integers, each of which is in {0, 1, 2, ..., 99}. Which of the following sorting algorithms can sort A in O(n) time in the worst case? Question 16 options: A) merge sort B) counting sort C) quicksort D) None of these options is correct. E) insertion sort
Given a set of n distinct bolts and n corresponding nuts, (a one-to-one correspondence exists between...
Given a set of n distinct bolts and n corresponding nuts, (a one-to-one correspondence exists between bolts and nuts), we want to find the correspondence between them. We are not allowed to directly compare two bolts or two nuts, but we can compare a bolt with a nut to see which one is bigger. Design an algorithm to find the matching pairs of bolts and nuts in time O(n2) for the worst-case scenario. Your algorithm should have an expected running...
1. Given an n-element array A, Algorithm X executes an O(n)-time computation for each even number...
1. Given an n-element array A, Algorithm X executes an O(n)-time computation for each even number in A and an O(log n)-time computation for each odd number in A. What is the best-case running time of Algorithm X? What is the worst-case running time of Algorithm X? 2. Given an array, A, of n integers, give an O(n)-time algorithm that finds the longest subarray of A such that all the numbers in that subarray are in sorted order. Your algorithm...
True or False? No reasons needed. (e) Suppose β and γ are bases of F n...
True or False? No reasons needed. (e) Suppose β and γ are bases of F n and F m, respectively. Every m × n matrix A is equal to [T] γ β for some linear transformation T: F n → F m. (f) Recall that P(R) is the vector space of all polynomials with coefficients in R. If a linear transformation T: P(R) → P(R) is one-to-one, then T is also onto. (g) The vector spaces R 5 and P4(R)...
Let f(x) and g(x) be polynomials and suppose that we have f(a) = g(a) for all...
Let f(x) and g(x) be polynomials and suppose that we have f(a) = g(a) for all real numbers a. In this case prove that f(x) and g(x) have exactly the same coefficients. [Hint: Consider the polynomial h(x) = f(x) − g(x). If h(x) has at least one nonzero coefficient then the equation h(x) = 0 has finitely many solutions.]
Suppose we have a prediction problem in marine shipping where the target ?corresponds to an angle...
Suppose we have a prediction problem in marine shipping where the target ?corresponds to an angle measured in radians. A reasonable loss function in this case could be ?(?,?)∶=1−cos(?−?) a.)Suppose the true angle is 3?/4. For which predicted values is the loss maximum and for which is it minimum? (Give also the corresponding loss.) Suppose we make predictions with a linear model ?=???+? b.)Derive gradients of the loss with respect to both ?and ?. c.)Describe a gradient descent algorithm to...
a) Suppose that we have two functions, f (x) and g (x), and that: f(2)=3, g(2)=7,...
a) Suppose that we have two functions, f (x) and g (x), and that: f(2)=3, g(2)=7, f′(2)=−4, g′(2)=6 Calculate the values of the following derivative when x is equal to 2: d ?x2 f (x)?|x=2 b) A spherical ice ball is melting, and its radius is decreasing at a rate of 0.8 millimeters per minute. At what rate is the volume of the ice cube decreasing when the radius of the sphere is equal to 12 millimeters? Give your answer...
1) We have a spring that has a spring constant of 30.5 N / m. Determine...
1) We have a spring that has a spring constant of 30.5 N / m. Determine what force must be applied to compress it about 5 centimeters. 2) Determine what is the period and frequency of a mass-spring system, which has a mass of 300 grams and an elastic constant of 30 N / m. 3) A spring mass system has a mass of 400 grams and oscillates at a frequency of 30 Hz. Determine the elastic constant of the...
1. Suppose we have the following relation defined on Z. We say that a ∼ b...
1. Suppose we have the following relation defined on Z. We say that a ∼ b iff 2 divides a + b. (a) Prove that the relation ∼ defines an equivalence relation on Z. (b) Describe the equivalence classes under ∼ . 2. Suppose we have the following relation defined on Z. We say that a ' b iff 3 divides a + b. It is simple to show that that the relation ' is symmetric, so we will leave...
True/False 1. Suppose we know for a fact that on a certain memory test, recognition is...
True/False 1. Suppose we know for a fact that on a certain memory test, recognition is not any better than recall. However, the P-value for the data from your sample is 0.04, so you were able to reject the null hypothesis at α = 5%. A Type I Error was committed. 2. Consider the following question: Do women make more visits to their primary care physician in a year than men? If independent samples are taken from both females and...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT