The

**set of euclidean numbers**with respect to $N \in \{ 1, 2, 3, \ldots \}$ is the D11: Set \begin{equation} [-\infty, \infty]^N = \prod_{n = 1}^N [-\infty, \infty] \end{equation}

▾ Set of symbols

▾ Alphabet

▾ Deduction system

▾ Theory

▾ Zermelo-Fraenkel set theory

▾ Set

▾ Binary cartesian set product

▾ Binary relation

▾ Binary endorelation

▾ Preordering relation

▾ Partial ordering relation

▾ Ordering relation

▾ Ordered set

▾ Dedekind cut

▾ Set of real numbers

▾ Set of basic numbers

▾ Alphabet

▾ Deduction system

▾ Theory

▾ Zermelo-Fraenkel set theory

▾ Set

▾ Binary cartesian set product

▾ Binary relation

▾ Binary endorelation

▾ Preordering relation

▾ Partial ordering relation

▾ Ordering relation

▾ Ordered set

▾ Dedekind cut

▾ Set of real numbers

▾ Set of basic numbers

Formulation 0

Let $[-\infty, \infty]$ be the D1275: Set of basic numbers.

The**set of euclidean numbers** with respect to $N \in \{ 1, 2, 3, \ldots \}$ is the D11: Set
\begin{equation}
[-\infty, \infty]^N
= \prod_{n = 1}^N [-\infty, \infty]
\end{equation}

The

Child definitions