The table below shows the values of predicates P(x, y) for every possible combination of values of thevariables a and y. The row number indicates the value for æ and the column number indicates the valuefor y. The domain for æ and y is {1, 2, 3, 4}.Ex: P(3, 1) is false because the entry in row 3, column 1 is F.P 1 2 3 41 TTTT2 FFF F3 FFT F4 T T F TDetermine the truth value of each expression.(1) Væ P(x, 2)Pick v(2) Vy P(2, y)(3) Jæ P(x, 3)Pick vPick v(4) 3y P(1, y)Pick v

Answered: The table below shows the values of…

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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Let D(z) be "z is a day", S(r) be "r is sunny", R(r) be "x is rainy", M be "Monday", and I be "Tuesday". Using these predicate symbols and appropriate quantifiers, write each English language statement as a predicate wff. Note: The domain is the whole world. (a) Some days are sunny and rainy. (b) No day is both sunny and rainy. (c) It is always a sunny day only if it is a rainy day. (d) No day is sunny. (e) Monday was sunny; therefore every day will be sunny. (f) It rained both Monday and Tuesday. (g) If some day is rainy, then every day will be sunny.
Let B(x) be the predicate "person x is a fan of the Bulldogs" and let y(x) be the predicate "person x is a fan of the Yellow Jackets," where the domain for the variable x is the set of all people. Express the following symbolic proposition as an English sentence: 3x(B(x) VY(x)) Some person is a fan of the Bulldogs or a fan of the Yellow Jackets. Every person is a fan of the Bulldogs or a fan of the Yellow Jackets. Some person is a fan of the Bulldogs and a fan of the Yellow Jackets. Every person is a fan of the Bulldogs and a fan of the Yellow Jackets.
2 Translating English Sentences into Formulas Consider the following two predicates: S(x) : x is a student in CSE015; M(x) : x plays a musical instrument. Let the domain be the set of all people. Using the above predicates, translate the following sentences into formulas using the appropriate quantifiers and operators. a) Not every student in CSE015 plays a musical instrument. b) A person is either a student in CSE015 or plays a musical instrument, but not both. c) There exists at least one student in CSE015 who does not play a musical instrument.
Mathematical Logic First-order or predicate logic. Rewrite each of the following formulas so that all their symbols appear explicitly and in order: a. 3v₁Pv₁ APV₁ b. Vv₁Av₁ ABv₁³V₂¬Cv₂ V DV₂ Please be as clear as possible. Explain your answer. Thank you.
Please help me with the three questions (d,e,f) in the image below. Show all work. Thank you
Express this in predicate logic: Each email address has exactly one email box. M(x): x is an email address B(x,y): x has an email box y
please change this sentence to fol (first order logic) Hanry is a student in Bina Nusantara University and that makes him to be called binusian. In Binus, there is a prestigious award so called a star.
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.

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