Difference between revisions of "Manuals/calci/CARTESIANPRODUCT"

Revision as of 19:25, 21 December 2016

CARTESIANPRODUCT (GivenSet1,GivenSet2)

This function shows the Cartesian product of two sets.
Cartesian product is the product of two sets.
The product of set X and set Y is the set that contains all ordered pairs ( x, y ) for which x belongs to X and y belongs to Y.
In $CARTESIANPRODUCT(GivenSet1,GivenSet2)$ , $Givenset1$ and $Givenset2$ are two set of real numbers with a pair of numbers.
Consider two sets $\llcorner A$ and $\llcorner B$ .
The Cartesian product of $\llcorner A$ and $\llcorner B$ are denoted by $\llcorner AXB$ is the set of all ordered pairs $\llcorner (a,b)$ such that $a\in A$ and $b\in B$ .

$\llcorner AXB$ = { $(a,b)|a\in A,b\in B$ }

1.CARTESIANPRODUCT([2,4,6],[10,13,7])

@@ Line 10: / Line 10: @@
 *The Cartesian product of <math>\llcorner A </math> and <math>\llcorner B </math> are denoted by <math>\llcorner AXB </math> is the set of all ordered pairs  <math>\llcorner (a,b) </math> such that <math>a \in A</math> and <math>b \in B</math>.
 <math>\llcorner AXB</math> = {<math>(a,b)|a \in A,b \in B</math>}
+==Examples==
+.CARTESIANPRODUCT([2,4,6],[10,13,7])
+{| class="wikitable"
+|-
+| 2 || 10
+|-
+| 2|| 13
+|-
+| 2 || 7
+|-
+| 4 || 10
+|-
+| 4 || 13
+|-
+| 4 || 7
+|-
+| 6 || 10
+|-
+| 6 || 13
+|-
+| 6 || 7
+|}
 ==References==
 [http://ndp.jct.ac.il/tutorials/discrete/node28.html Cartesian Product]