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Precomposition with a function probably provides the most elementary notion of pullback: in simple terms, a function of a variable where itself is a function of another variable may be written as a function of This is the pullback of by the function. It is such a fundamental process that it is often passed over without mention.
Pullback (category theory) In category theory, a branch of mathematics, a pullback (also called a fiber product, fibre product, fibered product or Cartesian square) is the limit of a diagram consisting of two morphisms f : X → Z and g : Y → Z with a common codomain. The pullback is written.
Pullback (differential geometry) This article is about pullback operations in differential geometry, in particular, the pullback of differential forms and tensor fields on smooth manifolds. For other uses of the term in mathematics, see pullback. Let be a smooth map between smooth manifolds and . Then there is an associated linear map from the ...
The lat pulldown is a great exercise to target your lats, but it also works a variety of other muscles that work together to extend and adduct your arms. It provides an alternative to the pullup ...
Phimosis is a condition where the foreskin can't be pulled back from the head of the penis. It's normal in babies and small children, and they usually grow out of it. It can also be caused by ...
bruising or discoloration. swelling. a “knotted-up” feeling. muscle spasms. stiffness. weakness. In a mild strain, a torn muscle may feel slightly stiff, but still flexible enough for use. A ...
Inflammation or an infection of the foreskin or the head of the penis ( glans) may cause phimosis in boys or men. Balanitis is an inflammation of the glans. It’s sometimes the result of poor ...
Pushforward (homology), the map induced in homology by a continuous map between topological spaces. Pushforward measure, measure induced on the target measure space by a measurable function. Pushout (category theory), the categorical dual of pullback. Direct image sheaf, the pushforward of a sheaf by a map.