Sequentia (mathematica)

In mathematica, un sequentia es un listamento finite o infinite de objectos mathematic, sovente numeros.

Definition

${\displaystyle a}$ es un sequentia ${\displaystyle$ :\Leftrightarrow } ${\displaystyle a}$ es un function con ${\displaystyle \mathrm {Im} (a)\subseteq \mathbb {N} \;\wedge \;\forall n\in \mathbb {N} \;\;{\big (}n+1\in \mathrm {Im} (a)\Rightarrow n\in \mathrm {Im} (a){\big )}}$

${\displaystyle {\big (}a_{i}{\big )}_{i=0}^{n}=(a_{0},a_{1},a_{2},\dots ,a_{n})}$ es un sequentia finite.

${\displaystyle {\big (}a_{i}{\big )}_{i=0}^{\infty }=(a_{0},a_{1},a_{2},\dots )}$ es un sequentia infinite.

Vide etiam

• serie (mathematica)