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In category theory, a branch of mathematics, a pushout (also called a fibered coproduct or fibered sum or cocartesian square or amalgamated sum) is the colimit of a diagram consisting of two morphisms f : Z → X and g : Z → Y with a common domain.
The pullback bundle is an example that bridges the notion of a pullback as precomposition, and the notion of a pullback as a Cartesian square.In that example, the base space of a fiber bundle is pulled back, in the sense of precomposition, above.
Let : be a smooth map between (smooth) manifolds and , and suppose : is a smooth function on .Then the pullback of by is the smooth function on defined by () = (()). ...
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 concept of force makes the everyday notion of pushing or pulling mathematically precise. Because the magnitude and direction of a force are both important, force is a vector quantity. The SI unit of force is the newton (N), and force is often represented by the symbol F. Force plays an important role in classical mechanics.
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Transfer operator, the pushforward on the space of measurable functions; its adjoint, the pull-back, is the composition or Koopman operator Topics referred to by the same term This disambiguation page lists mathematics articles associated with the same title.
But the time-efficient structure of a push-pull workout can (and should) be applied leg day, too, says Dane Miklaus, C.S.C.S., founder of WORK Training Studio in Irvine, California.