In mathematics, a complete field is a field equipped with a metric and complete with respect to that metric. Basic examples include the real numbers,...

In mathematics, a field K with an absolute value is called spherically complete if the intersection of every decreasing sequence of balls (in the sense...

is called complete (or a Cauchy space) if every Cauchy sequence of points in M has a limit that is also in M. Intuitively, a space is complete if there...

ordered field that is Dedekind complete. Here, "completely characterized" means that there is a unique isomorphism between any two Dedekind complete ordered...

known fields are the field of rational numbers, the field of real numbers and the field of complex numbers. Many other fields, such as fields of rational...

compactly supported vector fields on a manifold are complete. If X {\displaystyle X} is a complete vector field on M {\displaystyle M} , then the one-parameter...

{ret}}))}}.} These can then be differentiated accordingly to obtain the complete field equations for a moving point particle. Branches of classical electromagnetism...

curve. The Tate curve can also be defined for q as an element of a complete field of norm less than 1, in which case the formal power series converge...

This is the complete list of Olympic medalists in field hockey. These players are listed exclusively in the International Olympic Committee medal database...

closed field is a field F that has the same first-order properties as the field of real numbers. Some examples are the field of real numbers, the field of...