Different in pairs

The mathematical objects are called different in pairs if and only if no two of them are the same, i.e. h: . ${\displaystyle x_{1},x_{2},\dots ,x_{n}}$ ${\displaystyle i\neq j\Rightarrow x_{i}\neq x_{j}}$

The connection between “in pairs” and “different” has established itself as a characteristic combination of words in mathematics - and wherever it is used. In terms of content, there is no difference between different and different in pairs .

Individual proof

1. ↑ Albrecht Beutelspacher: That is trivial oBdA! , 6th edition, pages 24/25.

Web links

Wiktionary: in pairs  - explanations of meanings, word origins, synonyms, translations

Wiktionary: various  - explanations of meanings, word origins, synonyms, translations