Q1 Assertion with predicatesLet P be a set of people, C' be a set of classes, and D be a set of departments. Assume we aregiven the following predicates:Enrolled (Person, Class)Major (Person, Department)OfferedBy (Class, Department).Use the given predicates to assert the concept "some students are not taking any classes which areoutside their major" as a propositional formula with quantifiers.

We are given the following information. P: set of people, C: set of classes, D: set of departments.…

Answered: Let P be a set of people, C' be a set…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Express the statement using predicates, quantifiers and conditional connectives.“In every online class few students have connectivity issue and they do not join the class.”
Given the domains m e MOVIES and ce CHARACTERS and the following predicates: • sW(m): m is a Star Wars movie. A(c, m): c is a character who appears in the movie m • D(c): c is a Droid. • L(m): I liked m. • Q(c, q): c says q (e is quoted as saying q.) • jarjar is the character Jar Jar Binks • bad is the quote: "I've got a bad feeling about this!"
DO NOT COPY FROM OTHER WEBSITES COrrect and detailed answer will be Upvoted else downvoted. Thank you!
8. Use quantifiers and predicates with more than one variable to express this statement: “There a person in your class who has taken every math class at Liberty University." Let the domain of x be all people and the domain of y be all classes.
Let P:I am in Bangalore..O: I love cricket. : then q -> plq implies p) is: O I love cricket Iam not in Bangalore O Ifl am in Bangalore then I love cricket O If I love cricket then I am in Bangalore The statement which is logically equivalent to A (and) B is * O -(A->-B) O An -B AB AA-B
Exercise 1. Express the following statements symbolically using multiple quantifiers. De- fine your domains and two-variable predicates. Then negate the statements. (a) Every rational number when multiplied by some integer is an integer. Domain(s): • Predicate: • Statement: • Negation: ● Englsih translation of negation: . Which is true? The original statement or its negation? Justify your answer.
2. Underline or circle the predicates in the following sentences: • Martians are from outer space. Gianna loves The Simpsons. Aristotle taught Alexander the Great. The Civil War lasted 4 years. • Every star shines brightly.
QUESTION 4 Identify the type of the given propositions. ✓p^F ✓-pvp ✓ F→q ✓ F→q A. Contradiction B. Tautology C. Contingency
In the following question, the domain of discourse is a set of male patients in a clinical study. Define the following predicates: • P(z) : z was given the placebo • D(z) : z was given the medication • M(z): z had migraines Translate cach of the following statements into a logical expression. Then negate the expression by adding a negation operation to the beginning of the expression. Apply De Morgan's law until cach negation operation applices directly to a predicate and then translate the logical expression back into English. Sample question: Some patient was given the placebo and the medication. 3r (P(z) ^ D(z)) • Negation: ¬ar (P(z) ^ D(z)) Applying De Morgan's law: ¥z (¬P(z) V ¬D(z)) English: Every patient was either not given the placebo or not given the medication (or both).
Describe the following combined propositions as English sentences if s = heavy snow, c = flight canceled, and d=there are delays а. b. sAc c. d→ (s V c) → (d V c) e. sA (d V c) d. s-

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