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In general, any measurable function can be pushed forward. The push-forward then becomes a linear operator, known as the transfer operator or Frobenius–Perron operator.In finite spaces this operator typically satisfies the requirements of the Frobenius–Perron theorem, and the maximal eigenvalue of the operator corresponds to the invariant measure.
The notion of pushforward in mathematics is "dual" to the notion of pullback, and can mean a number of different but closely related things.. Pushforward (differential), the differential of a smooth map between manifolds, and the "pushforward" operations it defines
Let : be a smooth map of smooth manifolds. Given , the differential of at is a linear map : from the tangent space of at to the tangent space of at (). The image of a tangent vector under is sometimes called the pushforward of by .
The Democratic Party plans to push forward with a virtual roll call in which delegates to its convention can choose a presidential nominee before they gather next month in Chicago — despite Vice ...
When the yoke is pushed forward, the nose is lowered. When the yoke is turned left, the plane rolls to the left, and when it is turned to the right, the plane rolls to the right. Small to medium-size aircraft, usually limited to propeller-driven, feature a mechanical system whereby the yoke is connected directly to the control surfaces with ...
Ithaca’s Common Council recently adopted Justice50, an action plan to address and aid underserved communities most impacted by the negative effects of climate change, and further the goals of ...
Related: Dick Vitale Says His Vocal Cord Cancer Is ‘Gone’ but Will Wait to Return to ESPN Broadcasting Job In a Dec. 5 update, Vitale said, “I feel terrific but have lots of anxiety about ...
AAW An acronym for anti-aircraft warfare. aback (of a sail) Filled by the wind on the opposite side to the one normally used to move the vessel forward.On a square-rigged ship, any of the square sails can be braced round to be aback, the purpose of which may be to reduce speed (such as when a ship-of-the-line is keeping station with others), to heave to, or to assist moving the ship's head ...