Producto cartesian

In mathematica, plus precisemente in le theoria de insimules, un producto cartesian^[1] ${\displaystyle A\times B}$ es le insimul del pares ordinate ${\displaystyle (a;b)}$ con ${\displaystyle a\in A}$ e ${\displaystyle b\in B}$.

${\displaystyle A\times B:=\{p\in {\mathfrak {P}}(A\cup B)\mid \exists a,b\;\;a\in A\wedge b\in B\wedge p=(a;b)\}}$ con ${\displaystyle {\mathfrak {P}}}$ insimul potentia.

Referentias

1. Derivation (in ordine alphabetic): (ca) Producte cartesià || (de) Kartesisches Produkt || (en) Cartesian product || (es) Producto cartesiano || (fr) Produit cartésien || (it) Prodotto cartesiano || (pt) Produto cartesiano || (ro) Produs cartezian || (ru) Прямое произведение