100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Discrete Mathematics and Its Applications, 8th Edition by Rosen $17.99   Add to cart

Exam (elaborations)

Discrete Mathematics and Its Applications, 8th Edition by Rosen

 8 views  0 purchase
  • Course
  • Institution
  • Book

Discrete Mathematics and Its Applications, 8th Edition by Rosen

Preview 1 out of 3  pages

  • August 18, 2024
  • 3
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers
avatar-seller
Test Bank for Discrete Mathematics and Its Applications, 8th
Edition by Rosen, 9781259676512, Covering Chapters 1-13 |
Includes Rationales

connectives - ANSWER: logical operators used to form new propositions from two or more existing
propositions

conjunction - ANSWER: "and"; true only when both propositions are true

disjunction - ANSWER: "or"; false only when both propositions are false

exclusive or - ANSWER: true only when exactly one of the propositions is true and false otherwise

implication - ANSWER: conditional statement; "if p, then q" false when p is true and q is false, true
otherwise.

converse of p->q - ANSWER: q->p; equivalent to inverse

contrapositive p->q - ANSWER: not q -> not p; has the same truth value as p->q always

inverse of p->q - ANSWER: not p -> not q; equivalent to converse

equivalent - ANSWER: two compound propositions always having the same truth value

biconditionals (bi-implications; biconditional statements) - ANSWER: if and only if; true only when p
and q have the same truth values; iff

Precedence of logical operators - ANSWER: negation, conjunction, disjunction, conditional,
biconditional

bit - ANSWER: symbol with two possible values, namely 0 and 1

boolean variable - ANSWER: a variable with a value of either true or false

bit string - ANSWER: sequence of zero or more bits; the length of this string is the number of bits in
the string

tautology - ANSWER: a compound proposition that is always true, no matter what the truth values of
the propositional variables that occur in it (emphasis on always)

contradiction - ANSWER: a compound proposition that is always false

contingency - ANSWER: a compound proposition that is always true

logically equivalent - ANSWER: compound propositions that have the same truth values in all possible
cases; when these two propositions, p and q, in the compound proposition p iff q is a tautology.
(emphasis on truth values)

distributive law (disjunction over conjunction) - ANSWER: p V (q^r) = (p v q) ^ (p v r)

De Morgan's Laws - ANSWER: how to negate conjunctions and disjunctions; the negation of a
disjunction is the conjunction of the negation of the components; the negation of a conjunction is the
disjunction of the negations of the component propositoins

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller phinta004. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $17.99. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

83100 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
$17.99
  • (0)
  Add to cart