In mathematics, a pullback is either of two different, but related processes: precomposition and fiber-product. Its dual is a pushforward. Precomposition...

In category theory, a branch of mathematics, a pullback (also called a fiber product, fibre product, fibered product or Cartesian square) is the limit...

In mathematics, a pullback bundle or induced bundle is the fiber bundle that is induced by a map of its base-space. Given a fiber bundle π : E → B and...

space of 1-forms on M {\displaystyle M} . This linear map is known as the pullback (by ϕ {\displaystyle \phi } ), and is frequently denoted by ϕ ∗ {\displaystyle...

A pullback motor (also pull back, pull back and go or pull-back) is a simple clockwork motor used in toy cars. A patent for them was granted to Bertrand...

given a continuous map f: X → Y of topological spaces and a ring R, the pullback along f on cohomology theory is a grade-preserving R-algebra homomorphism:...

coproduct mapping to A, and a morphism A' → A, the pullback is an I-indexed coproduct of the pullbacks: ( ∐ i ∈ I B i ) × A A ′ ≅ ∐ i ∈ I ( B i × A A ′...

non-autonomous. This requires one to consider the notion of a pullback attractor or attractor in the pullback sense. Consider a random dynamical system φ {\displaystyle...

A homotopy pullback (or homotopy fiber-product) is the dual concept of a homotopy pushout.It satisfies the universal property of a pullback up to homotopy...

step, shuffle, leap, toe. The Maxie Ford is famous for its use of the pullback (or graboff) after the shuffle and best known as the Maxie Ford Break:...

forms along with the exterior derivative defined on it is preserved by the pullback under smooth functions between two manifolds. This feature allows geometrically...

Radon–Nikodym derivatives of both the pullback and pushforward measures of m {\displaystyle m} under T {\displaystyle T} . The pullback measure in terms of a transformation...

possibly coming to an end. For the decade, the Dow saw a rather substantial pullback for a negative return from 11,497.12 to 10,428.05, a loss of a 9.3%. During...

categories. A morphism is a monomorphism if it is idempotent with respect to pullbacks. The categorical dual of a monomorphism is an epimorphism, that is, a...

Euscirrhopterus poeyi, the pullback moth, is a moth of the family Noctuidae. The species was first described by Augustus Radcliffe Grote in 1866. It is...

f_{*}^{}\colon T_{x}M\to T_{f(x)}N} every such map induces a linear map (called the pullback) between the cotangent spaces, only this time in the reverse direction:...

pullback square, and the morphism which goes from the domain of f × g {\displaystyle f\times g} to the domain of f is opposite to g in the pullback square...

of modules#Operations). The pullback of a vector bundle is a vector bundle of the same rank. In particular, the pullback of a line bundle is a line bundle...

In the United States and its territories, Community Action Agencies (CAA) are local private and public non-profit organizations that carry out the Community...

'Wayne', Pilot 'Dark Cargo' Seek New Homes As YouTube Steps Up Scripted Pullback". Deadline Hollywood. August 16, 2019. Archived from the original on August...

e ) } {\displaystyle f^{*}(E)=\{(a,e)\in A\times E|f(a)=p(e)\}} is the pullback and the projections of f ∗ ( E ) {\displaystyle f^{*}(E)} onto A {\displaystyle...

In shogi, Iijima Bishop Pullback or Iijima's Back Bishop (飯島流引き角 Iijima-ryuu hiki kaku) is a less common defensive Static Rook opening used against a Ranging...

dictionary. 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...

September, Sarkozy and Medvedev signed another agreement on a Russian pullback from Georgia. After meeting with the French president, Medvedev said the...

Julian E.; Spiegel, Peter (August 15, 2007). "Top general may propose pullbacks". Los Angeles Times. Retrieved May 22, 2012. "U.S. Department of Defense"...

In mathematics, an algebraic cycle on an algebraic variety V is a formal linear combination of subvarieties of V. These are the part of the algebraic topology...

(category theory), a generalization of mathematical products Fibre product or pullback Coproduct or pushout Wick product of random variables Graph product Product...

Choro-Q is a line of Japanese 3–4 cm pullback car toys produced by Takara Tomy (formerly Takara). Known in North America as Penny Racers, they were introduced...

solutions applied to health care problems." Jennings, Katie. "Defying Pullback In Investments, General Catalyst Launches $670 Million Healthcare Fund"...

commanders' talks were held on 30 June; India reiterated its demand for the pullback of the Chinese troops from all key areas including Pangong Tso, Galwan...