Differentially Closed Field
In mathematics, a differential field K is differentially closed if every finite system of differential equations with a solution in some differential field extending K already has a solution in K. This concept was introduced by Robinson (1959). Differentially closed fields are the analogues for differential equations of algebraically closed fields for polynomial equations.
Read more about Differentially Closed Field: The Theory of Differentially Closed Fields, The Kolchin Topology, Quantifier Elimination, Differential Nullstellensatz, Omega Stability
Famous quotes containing the words closed and/or field:
“Thus piteously Love closed what he begat:
The union of this ever-diverse pair!
These two were rapid falcons in a snare,
Condemned to do the flitting of the bat.”
—George Meredith (1828–1909)
““My mother thinks us long away;
‘Tis time the field were mown.
She had two sons at rising day,
To-night she’ll be alone.”
—A.E. (Alfred Edward)