Question

Display the table produced by applying the projection \({P_{1,4}}\) to Table 8.

Short answer

The resultant answer is explained.

Step-by-step solution

 Step 1: Given data

Table 8 is given

Concept ofsets

The concept of set is a very basic one.

It is simple; yet, it suffices as the basis on which all abstract notions in mathematics can be built.\(A\)set is determined by its elements.

If\(A\)is a set, write\(x \in A\)to say that\(x\)is an element of\(A\).

Simplify the expression

In this case, the projection is \({P_{1,4}}\), which means that only the lst and 4th component are kept.

Let us reduce table 8 such that only have the lst and 4th column of the table:

Airline	Destination
Nadir	Detroit
Acme	Denver
Acme	Anchorage
Acme	Honolulu
Nadir	Detroit
Acme	Denver
Nadir	Detroit

Remove the rows that are identical to previous rows:

Airline	Destination
Nadir	Detroit
Acme	Denver
Acme	Anchorage
Acme	Honolulu

The \(n\)-tuples are then:

\(\begin{array}{l}{\rm{(Nadir, Detroit)}}\\{\rm{(Acme, Denver)}}\\{\rm{(Acme, Anchorage)}}\\{\rm{(Acme, Honolulu)}}\end{array}\)