23. Translate in two ways each of these statements into logi-cal expressions using predicates, quantifiers, and logicalconnectives. First, let the domain consist of the studentsin your class and second, let it consist of all people.a) Someone in your class can speak Hindi.b) Everyone in your class is friendly.c) There is a person in your class who was not born inCalifornia.d) A student in your class has been in a movie.e) No student in your class has taken a course in logicprogramming.

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Answered: 23. Translate in two ways each of these…

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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Just B please
27. Translate each of these statements into logical expres- sions in three different ways by varying the domain and by using predicates with one and with two variables. a) A student in your school has lived in Vietnam. b) There is a student in your school who cannot speak Hindi. c) A student in your school knows Java, Prolog, and C++. d) Everyone in your class enjoys Thai food. e) Someone in your class does not play hockey.
Find a composite transformation matrix composed of elementary rotations, Rx(0), Ry(0), and Rz(0) that gives the same result as glRotatef ( 30, 1, 1, 1) For example: Given glRotatef(30, 1, 1, 0) , the composite transformation matrix is glRotatef(-45, 0, 0, 1) then glRotatef(30, 1, O, 0), and glRotatef(45, 0, 0, 1)
4. Given the predicates male(x), female(x), parent(x, y) (x is a parent of y), define the following predicates in terms of male, female, parent, or other pred- icates defined from these three predicates, in first-order logic: (a) father(x, y): x is the father of y. (b) mother(x, y): x is the mother of y. (c) ancesotor(x, y): x is an ancestor of y. (d) descendant(x, y): x is an descendant of y. (e) son(x, y): is a son of y. (f) daughter(x, y): x is a son of y. (g) sibling(x, y): x is a sibling of y.
Determine as best you can the values of each of the atomics in these sentences, assuming that each sentence is false. E → ¬(E → G)
4. Translate each of these nested quantifications into an English statement that expresses a mathematical fact. The domain in each case consists of all real numbers. Then determine the truth value of each statement. Give your argument. a) aXVy(x + y = y) b) VxVy(((x > 0) A (y 0))
6) In the domain of all computer science majors, let G(x) be the predicate "x is required to take geometry". Write the following statements in the symbols of predicate logic. a) There is a computer science major that is not required to take geometry. b) There is no computer science major that is required to take geometry. c) Every computer major is not required to take geometry. d) All computer science majors are required to take geometry.
How do I rewrite p∧∼q → r using logical equivalence p → q ≡∼p ∨ q and de Morgan’s laws? I need to understand the steps
In the following question, the domain of discourse is a set of male patients in a clinical study. Define the following predicates: · P(x) : xwas given the placebo D(x) : x was given the medication M(x) x had migraines Translate each 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 each negation operation applies directly to a predicate and then translate the logical expression back into English. (a) Every patient was given the medication or the placebo or both. (b) Every patient who took the placebo had migraines. (Hint: you will need to apply the conditional identity, p q = pv q.) (c) There is a patient who had migraines and was given the placebo.
Write the following statement in predicates using quantifiers: (i) The product of one odd and one even integer is odd.
please solve question A and B
Evaluate each expression

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