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)
“The City of New York is like an enormous citadel, a modern Carcassonne. Walking between the magnificent skyscrapers one feels the presence on the fringe of a howling, raging mob, a mob with empty bellies, a mob unshaven and in rags.”
—Henry Miller (1891–1980)
“There’s a cool web of language winds us in,
Retreat from too much joy or too much fear:
We grow sea-green at last and coldly die
In brininess and volubility.”
—Robert Graves (1895–1985)