RELATIONS AND FUNCTIONS
Chapter 5: Front Matter · MATHEMATICS · EN medium
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G . W. Leibnitz ( – ) RELATIONS AND FUNCTIONS brackets and grouped together in a particular order, i.e., ( p,q ), p ∈ P and q ∈ Q . This leads to the following definition: Definition Given two non-empty sets P and Q. The cartesian product P × Q is the set of all ordered pairs of elements from P and Q, i.e., P × Q = { ( p,q ) : p ∈ P, q ∈ Q } If either P or Q is the null set, then P × Q will also be empty set, i.e., P × Q = φ From the illustration given above we note that A × B = {(red, b ), (red, c ), (red, s ), (blue, b ), (blue, c ), (blue, s )}. Again, consider the two sets:
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G . W. Leibnitz ( – ) RELATIONS AND FUNCTIONS brackets and grouped together in a particular order, i.e., ( p,q ), p ∈ P and q ∈ Q . This leads to the following definition: Definition Given two non-empty sets P and Q.
The cartesian product P × Q is the set of all ordered pairs of elements from P and Q, i.e., P × Q = { ( p,q ) : p ∈ P, q ∈ Q } If either P or Q is the null set, then P × Q will also be empty set, i.e., P × Q = φ From the illustration given above we note that A × B = {(red, b ), (red, c ), (red, s ), (blue, b ), (blue, c ), (blue, s )}. Again, consider the two sets:
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