Frobenius' Theorem in Modern Language
The Frobenius theorem can be restated more economically in modern language. Frobenius' original version of the theorem was stated in terms of Pfaffian systems, which today can be translated into the language of differential forms. An alternative formulation, which is somewhat more intuitive, uses vector fields.
Read more about this topic: Frobenius Theorem (differential Topology)
Famous quotes containing the words theorem, modern and/or language:
“To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.”
—Albert Camus (1913–1960)
“However far modern science and technics have fallen short of their inherent possibilities, they have taught mankind at least one lesson: Nothing is impossible.”
—Lewis Mumford (1895–1990)
“Language is an archeological vehicle ... the language we speak is a whole palimpsest of human effort and history.”
—Russell Hoban (b. 1925)