Thus, each of the two singleton sets { π } {\displaystyle \{{\sqrt {\pi }}\}} and { 2 π + 1 } {\displaystyle \{2\pi +1\}} are algebraically independent over the field Q {\displaystyle \mathbb {Q} } of rational numbers.
Dengan demikian, tiap-tiap dua singleton (himpunan unsur) { π } {\displaystyle \{{\sqrt {\pi }}\}} dan { 2 π + 1 } {\displaystyle \{2\pi +1\}} dikatakan bebas aljabar pada medan bilangan rasional Q {\displaystyle \mathbb {Q} } .