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...also be defined with any number of terms, finite or infinite, by using the cartesian product and defining the operation coordinate-wise.

...morphic at a point if it is locally expandable (within a [[polydisk]], a [[cartesian product]] of [[disk (mathematics)|disk]]s, centered at that point) as a convergent

...\ \pi_a : X \rightarrow X_a</math>&nbsp; be the standard projection of the cartesian product ...niformity <math>\mathcal U</math>&nbsp; (see above) is the only one in the Cartesian product <math>\ X</math>,&nbsp; which satisfies the following two conditions:

...bability distribution is then a subset T={(s0,t0),...,(sn,tn), ...} of the cartesian product <math>S \times A</math>, such that all the ti sum to exactly 1.

...is a family of topological spaces, then the ''product topology'' on the [[Cartesian product]] <math>\prod_{\lambda\in\Lambda} X_\lambda</math> has as sub-basis the set

...''A'' is an affine space of dimension ''n'' if there exists a map of the [[Cartesian product]], ''A'' &times; ''A'' onto a vector space of dimension ''n''. This map mus

...r <math>\vec{u}+\vec{v}</math>. Here <math>\times</math> represents the [[Cartesian product]] between sets. Scalar multiplication is defined in a similar way, as a ma

...n the FROM clause are retrieved. If more than one table is specified, the Cartesian product of the rows is produced. Next, the rows not satisfying the predicates prov

Similarly 5 &times; 4 is the size of the [[Cartesian product]] of a set of size 5 with one of size 4. We define in general:

...n]]. A ''relation'' between sets ''X'' and ''Y'' is a [[subset]] of the [[Cartesian product]], <math>R \subseteq X \times Y</math>. We say that a relation ''R'' is ''