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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 (differential geometry) Let be a smooth map between smooth manifolds and . Then there is an associated linear map from the space of 1-forms on (the linear space of sections of the cotangent bundle) to the space of 1-forms on . This linear map is known as the pullback (by ), and is frequently denoted by .
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.
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 ...
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 ...
A muscle strain, or pulled muscle, occurs when your muscle is overstretched or torn. This usually occurs as a result of fatigue, overuse, or improper use of a muscle.Strains can happen in any ...
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.