Difference between revisions of "Manuals/calci/CARTESIANPRODUCT"

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CARTESIANPRODUCT
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<div style="font-size:30px">''' CARTESIANPRODUCT (GivenSet1,GivenSet2) '''</div><br/>
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*<math>GivenSet1</math> and <math>GivenSet2</math> are the set of numbers to find product.
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==Description==
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*This function shows the Cartesian product of two sets.
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*Cartesian product is the product of two sets.
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*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.
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*In <math>CARTESIANPRODUCT(GivenSet1,GivenSet2)</math>,<math>Givenset1</math> and <math>Givenset2</math> are two set of real numbers with a pair of numbers.
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*Consider two sets <math>\llcorner A </math> and <math>\llcorner B </math>.
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*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>.
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<math>\llcorner AXB</math> = {<math>(a,b)|a \in A,b \in B</math>}
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==Examples==
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1.CARTESIANPRODUCT([2,4,6],[10,13,7])
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{| class="wikitable"
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|-
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| 2 || 10
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|-
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| 2|| 13
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|-
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| 2 || 7
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|-
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| 4 || 10
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|-
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| 4 || 13
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|-
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| 4 || 7
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|-
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| 6 || 10
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|-
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| 6 || 13
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|-
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| 6 || 7
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|}
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==Related Videos==
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{{#ev:youtube|v=NnEkVooAsxk|280|center|CARTESIAN PRODUCT}}
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==See Also==
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*[[Manuals/calci/DOTPRODUCT  | DOTPRODUCT  ]]
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*[[Manuals/calci/CROSSPRODUCT  | CROSSPRODUCT ]]
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==References==
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[http://ndp.jct.ac.il/tutorials/discrete/node28.html Cartesian Product]
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]

Latest revision as of 15:54, 10 December 2018

CARTESIANPRODUCT (GivenSet1,GivenSet2)


  • and 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 , and are two set of real numbers with a pair of numbers.
  • Consider two sets and .
  • The Cartesian product of and are denoted by is the set of all ordered pairs such that and .

= {}

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

Related Videos

CARTESIAN PRODUCT

See Also

References

Cartesian Product