## Cartesian Product

In mathematics, a **Cartesian product** (or product set) is a construction to build a new set out of a number of given sets. Each member of the Cartesian product corresponds to the selection of one element each in every one of those sets. The Cartesian product is named after René Descartes, whose formulation of analytic geometry gave rise to the concept.

Read more about Cartesian Product.

### Some articles on cartesian product:

**Cartesian Product**- Graph Theory

... In graph theory the

**Cartesian product**of two graphs G and H is the graph denoted by G×H whose vertex set is the (ordinary)

**Cartesian product**V(G)×V(H) and ... The

**Cartesian product**of graphs is not a

**product**in the sense of category theory ... Instead, the categorical

**product**is known as the tensor

**product**of graphs ...

Predicate Functor Logic - Kuhn's Formalization - Axioms and Semantics

...

...

**Cartesian product**, Here only, Quine adopted an infix notation, because this infix notation for**Cartesian product**is very well established in mathematics ...**Cartesian product**allows restating conjunction as follows Reorder the concatenated argument list so as to shift a pair of duplicate variables to the far left, then invoke S to eliminate the ...Reduced Product

... logic, and in algebra, the reduced

... logic, and in algebra, the reduced

**product**is a construction that generalizes both direct**product**and ultraproduct ... The domain of the reduced**product**is the quotient of the**Cartesian product**by a certain equivalence relation ~ two elements (ai) and (bi) of the**Cartesian product**are ... If U is an ultrafilter, the reduced**product**is an ultraproduct ...Vienna Development Method - VDM Features - Type Constructors: Union, Product and Composite Types

... Tn Union of types T1...Tn T1*T2*...*Tn

... Tn Union of types T1...Tn T1*T2*...*Tn

**Cartesian product**of types T1...Tn T f1T1.. ...**Cartesian product**types may also be defined in VDM-SL ... The composite or record type is a**Cartesian product**with labels for the fields ...Colexicographical Order

... In mathematics, the colexicographic or colex order, is a natural order structure of the

... In mathematics, the colexicographic or colex order, is a natural order structure of the

**Cartesian product**of two or more ordered sets ... Given two partially ordered sets A and B, the colexicographical order on the**Cartesian product**A × B is defined as (a,b) ≤ (a′,b′) if and only if b < b′ or (b = b′ and a ≤ a ... define the colexicographic order on the**Cartesian product**of n ordered sets ...### Famous quotes containing the word product:

“Cultural expectations shade and color the images that parents- to-be form. The baby *product* ads, showing a woman serenely holding her child, looking blissfully and mysteriously contented, or the television parents, wisely and humorously solving problems, influence parents-to-be.”

—Ellen Galinsky (20th century)

Main Site Subjects

Related Subjects

Related Phrases

Related Words