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this is Discrete mathematics problem. Translate the following English sentences into propositional formulas. Remember to def ne your...

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Advance Math

this is Discrete mathematics problem.

Translate the following English sentences intopropositional formulas. Remember to
def ne your atomic propositions!
(a) Either the suspect wore gloves, or he didn't touch thedoorknob.
(b) I will eat my tie if the Cubs win the World Series.
(c) It smelled funny, but he ate it anyway.
(d) The people will give up their arms only when the tyrant resignsand we get our
money back.
(e) All prizes will be awarded provided that a su cient number ofeligible entries are
received.
(f) The absence of antibodies in the subject's body implies thatthey are not susceptible
to infection.
(g) Participants were not timed on this task; however, mostfinished in less than 8
minutes.
(h) The printer can hold a black ink cartridge or a colorcartridge, but not both.
(i) Only if a person has a real desire to want to change and putsforth real e ort to
make those changes do they come about.
(j) The existence of a Lyapunov function is a necessary and sucient condition for the
stability of the system.

(k)The new regulation does not apply unless both housesvote to impose it.

I got a wrong answer for many of case, and English isnot my first language, so it is little hard to understandconcept.

please help me.

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