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Denjoy theorem — In mathematics, the Denjoy theorem gives a sufficient condition for a diffeomorphism of the circle to be topologically conjugate to a diffeomorphism of a special kind, namely an irrational rotation. Arnaud Denjoy proved the theorem in the course… … Wikipedia
Arnaud Denjoy — Born 5 January 1884(1884 01 05) Auch, Gers Died 21 January 1974(1974 01 21) (a … Wikipedia
Rotation number — This article is about the rotation number, which is sometimes called the map winding number or simply winding number. There is another meaning for winding number, which appears in complex analysis. In mathematics, the rotation number is an… … Wikipedia
List of mathematics articles (D) — NOTOC D D distribution D module D D Agostino s K squared test D Alembert Euler condition D Alembert operator D Alembert s formula D Alembert s paradox D Alembert s principle Dagger category Dagger compact category Dagger symmetric monoidal… … Wikipedia
Irrational rotation — In mathematics, an irrational rotation is a map:r : [0,1] ightarrow [0,1] given by: r(x) = x + heta mod 1 (see modular arithmetics) where θ is an irrational number. The name comes from the fact that this map comes from a rotation by an angle of θ … Wikipedia
Difféomorphisme — En mathématiques, un difféomorphisme est un isomorphisme dans la catégorie des variétés différentielles : c est une bijection différentiable d une variété dans une autre, dont la bijection réciproque est aussi différentiable. Image d une… … Wikipédia en Français
