Manuals/calci/CARTESIANPRODUCT

CARTESIANPRODUCT (GivenSet1,GivenSet2)

• $GivenSet1$ and $GivenSet2$ are the set of numbers to find product.

Description

• 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 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \llcorner (a,b) } such that Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a \in A} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b \in B} .

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \llcorner AXB} = {Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (a,b)|a \in A,b \in B} }

Examples

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

2	10
2	13
2	7
4	10
4	13
4	7
6	10
6	13
6	7

See Also

• DOTPRODUCT
• CROSSPRODUCT

References

Cartesian Product

• List of Main Z Functions

• Z3 home