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Stufe (algebra)

In field theory, the Stufe (/ʃtuːfə/; German: level) s(F) of a field F is the least number of squares that sum to -1. If -1 cannot be written as a sum of squares, s(F)=∞. In this case, F is a formally real field. Albrecht Pfister proved that the Stufe, if finite, is always a power of 2, and that conversely every power of 2 occurs.

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Wir Slawen wissen, das die Geister einzelner Menschen and ganzer Volker sich nur durch die Stufe ihrer Entwicklung unterscheiden.