Computer Methods Math Problem Example | Topics and Well Written Essays - 1000 words

Computer Methods - Math Problem ExampleS will be computed by finding T - S, soS = (1, 1), (2, 1), (2, 2) Question 21. a) Using the following(a) propositions h it is humid c it is cloudyand d it is precipitate testify the following logical expressions in good English.i) (hc)rii) (rh)c b) Assuming and S is a set of lectures and the and the predicatesL(x) x is a refereeand A(x) x is enouncewrite the following sentences in symbolic formi) Larry is an articulate lecturer.ii) There is a lecturer who is not articulate.iii) Not every lecturer is articulate.What is the relationship between predicates (ii) and (iii)c) Determine the virtue table for (pq)(pq) State whether this expression is contingency, a contradiction or a tautology. Solution a)i) (hc)rthe atmosphere is humid cloudy and it is not raining ii) (rh)c if atmosphere is raining or humid then atmosphere is cloudy.b)(i)Larry is an articulate lecturer.L(Larry) A(Larry)(ii) There is a lecturer who is not articulate.To solve this we will pulmonary tuberculosis the concept of universal quantifiers $(x)Which government agency that a statement is true for all values of x. Now the statement in symbolic form is(x)L(x) A(x)Which means that it is not true that all the lecturers are articulate. So in this sense this predicate describes that there are some lecturers who are not articulate (iii)Not every lecturer is articulate.(x)L(x) A(x)The relationship between last two predicates is that these define same thing i.e. Not every lecturer is articulate does not ever means that totally the lecturer are not articulate it could mean...And all the points that are not common in any set are placed in circles where no ware is occurring.The relationship between last two predicates is that these define same thing i.e. Not every lecturer is articulate does not ever means that All the lecturer are not articulate it could mean that There are some lecturers who are not articulate so we can not use universal quantifiers for t his predicate hence it means that Not every lecture is articulate but there are some that can be articulate so in this sense of interpretation last two predicates are same.