   Chapter 11.2, Problem 2ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
4 views

# The following is a formal definition for O-notation, written using quantifiers and variables: f ( n ) is O ( g ( n ) ) if, and only if, ∃ positive real numbers b and B such that ∀ n ≥ b ,   0 ≤ f ( n ) ≤ B g ( n ) .a. Write the formal negation for the definition using the symbols ∀ and ∃ . b. Restate the negation less formally without using the symbols ∀ and ∃ or the words “for any,” “for every.” or “there exists.”

To determine

(a)

To show:

Write the rormal negation for the definition using the symbols  and .

Explanation

Given information:

The following is a formula definition for Ω(g(x)) if, and only if, positive real numbers a and A such that x>a,A|g(x)|f(x)|.

Concept used:

Positive real numbers a and A.

Calculation:

Positive real numbers b and B

To determine

(b)

Restate the negation less formally wahout using the symbols and .

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 