Given function:

.

Which of the following expressions is obtained by a correct application of DeMorgan's theorem to this function?

Given Karnaugh map for the function:

After minimization, the following expression of the function was obtained:

+ 

+ 

What is the best way to change the expression if we write "1" in the green box?

How many "1" pairs that can be grouped can you see in this diagram?

Which scheme corresponds to the function  , to which DeMorgan's theorem is correctly applied using NOT-AND elements?

Given Karnaugh map for the function:

Which of the following grouping of "1" provided below is not possible?

Which of the schemes is connected correctly?

Name the three factors in your SPSS database; Quantity, Quality and Speed. Which items make the up the 'Quality' factor? (Tick as many as apply).

Soit R la relation définie sur l'ensemble E = {-2,-1,0,1,2} dont le digraphe est donné ci-dessous :

Soit S la relation sur l'ensemble E = {-2,-1,0,1,2} définie par x↔y si et seulement si |x-y| ≤ 3 et x-y est divisible par 3.

1°) Donnez S en extension

2°) Donnez S R en extension

Dans la suite de la question, on considère que la relation S est définie sur l'ensemble des entiers.

3°) La relation S est-elle antiréflexive, réflexive, symétrique, antisymétrique, transitive ? Justifiez !

4°) Si S est une relation d'équivalence, donnez-en son quotient. Sinon, donnez le quotient de la clôture équivalente de S.

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