Difference between revisions of "Manuals/calci/CARTESIANPRODUCT"
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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. | *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 <math>\llcorner A </math> and <math>\llcorner B </math>. | *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 | + | *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 A </math> | ||
==References== | ==References== | ||
[http://ndp.jct.ac.il/tutorials/discrete/node28.html Cartesian Product] | [http://ndp.jct.ac.il/tutorials/discrete/node28.html Cartesian Product] | ||
Revision as of 18:17, 21 December 2016
CARTESIANPRODUCT (GivenSet1,GivenSet2)
- 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 GivenSet2} are the set of numbers to find product.
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 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 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 CARTESIANPRODUCT(GivenSet1,GivenSet2)} ,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 Givenset1} 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 Givenset2} are two set of real numbers with a pair of numbers.
- Consider two sets 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 } 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 \llcorner B } .
- The Cartesian product of 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 } 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 \llcorner B } are denoted by 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 } 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 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} .
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 A }