Difference between revisions of "Manuals/calci/CARTESIANPRODUCT"

Latest revision as of 14:54, 10 December 2018

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 7: / Line 7: @@
 *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 <math>CARTESIANPRODUCT(GivenSet1,GivenSet2)</math>,<math>Givenset1</math> and <math>Givenset2</math> are two set of real numbers with a pair of numbers.
-*Consider two sets A and B.
+*Consider two sets <math>\llcorner A </math> and <math>\llcorner B </math>.
-*The Cartesian product of A and B are denoted by    s the set of all ordered pairs  (a,b) such that a Belongs to A and b Belongs to B.
+*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 A </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
+|}
+==Related Videos==
+{{#ev:youtube|v=NnEkVooAsxk|280|center|CARTESIAN PRODUCT}}
+==See Also==
+*[[Manuals/calci/DOTPRODUCT  | DOTPRODUCT  ]]
+*[[Manuals/calci/CROSSPRODUCT  | CROSSPRODUCT ]]
 ==References==
 [http://ndp.jct.ac.il/tutorials/discrete/node28.html Cartesian Product]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]