Cartesian product (InstanceTopic, 3)
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The '''Cartesian product''' of two [[shape]]s ''x'' and ''y'', with ''n'' and ''m'' dimensions respectively, is the shape defined by the [[set]] of all [[Point (object)|point]]s whose first ''n'' co-ordinates are the co-ordinates of a point in shape ''x'' and last ''m'' co-ordinates are the co-ordinates of a point in shape ''y''. The resulting shape has dimension ''n''+''m''. | The '''Cartesian product''' of two [[shape]]s ''x'' and ''y'', with ''n'' and ''m'' dimensions respectively, is the shape defined by the [[set]] of all [[Point (object)|point]]s whose first ''n'' co-ordinates are the co-ordinates of a point in shape ''x'' and last ''m'' co-ordinates are the co-ordinates of a point in shape ''y''. The resulting shape has dimension ''n''+''m''. | ||
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The Cartesian product can also be referred to as the ''square product''. It is one of the three [[bracketopic product]]s and has the function MAX. It is also the square [[brick product]]. | The Cartesian product can also be referred to as the ''square product''. It is one of the three [[bracketopic product]]s and has the function MAX. It is also the square [[brick product]]. | ||
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Latest revision as of 21:13, 8 February 2014
The Cartesian product of two shapes x and y, with n and m dimensions respectively, is the shape defined by the set of all points whose first n co-ordinates are the co-ordinates of a point in shape x and last m co-ordinates are the co-ordinates of a point in shape y. The resulting shape has dimension n+m.
For example, the Cartesian product of a line and a square is a cube and the Cartesian product of two circles is a duocylinder.
The Cartesian product can also be referred to as the square product. It is one of the three bracketopic products and has the function MAX. It is also the square brick product.
