Difference between revisions of "Manuals/calci/CARTESIANPRODUCTWITHOUTFLATTEN"
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| − | + | <div style="font-size:30px">''' CARTESIANPRODUCTWITHOUTFLATTEN (GivenSet1,GivenSet2) '''</div><br/> | |
| + | *<math>GivenSet1</math> and <math>GivenSet2</math> 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 <math>CARTESIANPRODUCTWITHOUTFLATTEN(GivenSet1,GivenSet2)</math>,<math>Givenset1</math> and <math>Givenset2</math> are two set of real numbers with a pair of numbers. | ||
| + | *Consider two sets <math>\llcorner A </math> and <math>\llcorner B </math>. | ||
| + | *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== | ||
| + | 1.CARTESIANPRODUCTWITHOUTFLATTEN([10,13,19],[-5,8,23]) | ||
| + | {| class="wikitable" | ||
| + | |- | ||
| + | | 10 || -5 | ||
| + | |- | ||
| + | | 10|| 8 | ||
| + | |- | ||
| + | | 10 || 23 | ||
| + | |- | ||
| + | | 13 || -5 | ||
| + | |- | ||
| + | | 13 || 8 | ||
| + | |- | ||
| + | | 13 || 23 | ||
| + | |- | ||
| + | | 19 || -5 | ||
| + | |- | ||
| + | | 19 || 8 | ||
| + | |- | ||
| + | | 19 || 23 | ||
| + | |} | ||
| + | |||
| + | ==See Also== | ||
| + | *[[Manuals/calci/CARTESIANPRODUCT | CARTESIANPRODUCT ]] | ||
| + | *[[Manuals/calci/DOTPRODUCT | DOTPRODUCT ]] | ||
| + | *[[Manuals/calci/CROSSPRODUCT | CROSSPRODUCT ]] | ||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | *[[ Z3 | Z3 home ]] | ||
| + | |||
| + | ==References== | ||
| + | [http://ndp.jct.ac.il/tutorials/discrete/node28.html Cartesian Product] | ||
| + | |||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Revision as of 12:57, 23 March 2017
CARTESIANPRODUCTWITHOUTFLATTEN (GivenSet1,GivenSet2)
- and are the set of numbers to find product.
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 .
,
and 
are two set of real numbers with a pair of numbers.
and 
.
is the set of all ordered pairs 
such that 
and 
.= {}
}
Examples
1.CARTESIANPRODUCTWITHOUTFLATTEN([10,13,19],[-5,8,23])
| 10 | -5 |
| 10 | 8 |
| 10 | 23 |
| 13 | -5 |
| 13 | 8 |
| 13 | 23 |
| 19 | -5 |
| 19 | 8 |
| 19 | 23 |
See Also
References