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What (who) is cartesian product - definition
Cartesian product
SET OF THE ORDERED PAIRS SUCH THAT THE FIRST ELEMENT OF THE PAIR IS IN THE FIRST ELEMENT OF THE PRODUCT AND THE SECOND ELEMENT OF THE PAIR IS IN THE SECOND ELEMENT OF THE PRODUCT
Graphing the total product; Graphing total product; Cartesian products; Cartesian square; Cylinder (algebra); Cartesian power; Product set; Cartesian Products; Cartesian Product; CartesianProduct; Product of sets; Cartesian product algorithm; Z notation cartesian product; Cartesian product of several sets
In mathematics, specifically set theory, the Cartesian product of two sets A and B, denoted A×B, is the set of all ordered pairs where a is in A and b is in B. In terms of set-builder notation, that is
Cartesian product
SET OF THE ORDERED PAIRS SUCH THAT THE FIRST ELEMENT OF THE PAIR IS IN THE FIRST ELEMENT OF THE PRODUCT AND THE SECOND ELEMENT OF THE PAIR IS IN THE SECOND ELEMENT OF THE PRODUCT
Graphing the total product; Graphing total product; Cartesian products; Cartesian square; Cylinder (algebra); Cartesian power; Product set; Cartesian Products; Cartesian Product; CartesianProduct; Product of sets; Cartesian product algorithm; Z notation cartesian product; Cartesian product of several sets
<mathematics> (After Renee Descartes, French philosper and
mathematician) The Cartesian product of two sets A and B is
the set
A x B = (a, b) | a in A, b in B.
I.e. the product set contains all possible combinations of one
element from each set. The idea can be extended to products
of any number of sets.
If we consider the elements in sets A and B as points along
perpendicular axes in a two-dimensional space then the
elements of the product are the "Cartesian coordinates" of
points in that space.
See also tuple.
(1995-03-01)
Cartesian diver
CLASSIC SCIENCE EXPERIMENT DEMONSTRATING THE ARCHIMEDES' PRINCIPLE AND THE IDEAL GAS LAW
Cartesian Diver; Cartesian devil; Cartesian driver
A Cartesian diver or Cartesian devil is a classic science experiment which demonstrates the principle of buoyancy (Archimedes' principle) and the ideal gas law. The first written description of this device is provided by Raffaello Magiotti, in his book (Very firm resistance of water to compression) published in 1648.
