Concerning "bits of precision"
I am a newcomer to Sage. I learn Sage to compute Gröbner bases.
Concerning polynomial ring, if I type:
R = PolynomialRing(QQ, 't') R
Univariate Polynomial Ring in t over Rational Field
But if I type:
R = PolynomialRing(RR, 't') R
Univariate Polynomial Ring in t over Real Field with 53 bits of precision
What does "with 53 bits of precision" mean? If I don't know its meaning, will it matter when I compute Gröbner bases? I would appreciate any help with this situation.