Table 2 Indicators of potentially successful communication for the three different communication models (figures rounded at the second decimal)

From: Measuring Diversity in Multilingual Communication

Communication model m = 2 \(m = \bar{m} = 3\) m = 4 Weighted by fm*
Common language \((\phi_{com}^{m} )\) 0.77 0.60 0.47 0.62
Polyglottism \((\phi_{poly}^{m} )\) 0.86 0.70 0.56 0.72
Receptive multilingualism \((\phi_{rec}^{m} )\) 0.77 0.55 0.38 0.58
  1. *This is a weighted indicator that takes the different sizes of the groups into account. The percentages were obtained from an implementation of formulas (3), (6) and (9) in the software MatLab. The code is available on request directly from the authors