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Pivot language
A pivot language, sometimes also called a bridge language, is an artificial or natural language used as an intermediary language for translation between many different languages – to translate between any pair of languages A and B, one translates A to the pivot language P, then from P to B. Using a pivot language avoids the combinatorial explosion of having translators across every combination of the supported languages, as the number of combinations of language is linear (n−1{\displaystyle n-1}), rather than quadratic ((n2)=n2−n2){\displaystyle \left(\textstyle {\binom {n}{2}}={\frac {n^{2}-n}{2}} ight)} – one need only know the language A and the pivot language P (and someone else the language B and the pivot P), rather than needing a different translator for every possible combination of A and B. The disadvantage of a pivot language is that each step of retranslation introduces possible mistakes and ambiguities – using a pivot language involves two steps, rather than one.
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