Definitions for pullback
ˈpʊlˌbækpull·back

Princeton's WordNetRate this definition:0.0 / 0 votes

1. pullback, tiebacknoun

   a device (as a decorative loop of cord or fabric) for holding or drawing something back

   "the draperies were drawn to the sides by pullbacks"

2. pullbacknoun

   (military) the act of pulling back (especially an orderly withdrawal of troops)

   "the pullback is expected to be over 25,000 troops"

WiktionaryRate this definition:0.0 / 0 votes

1. pullbacknoun

   The act or result of pulling back; a withdrawal

2. pullbacknoun

   That which holds back, or causes to recede; a drawback; a hindrance.

3. pullbacknoun

   The iron hook fixed to a casement to pull it shut, or to hold it partly open at a fixed point.

4. pullbacknoun

   A reduction in the price of a financial instrument after reaching a peak

5. pullbacknoun

   Given a pair of morphisms and with a common codomain, Z, their pullback is a pair of morphisms and as well as their common domain, P, such that the equation is satisfied, and for which there is the universal property that for any other object Q for which there are also morphisms , ; there is a unique morphism such that and .

WikipediaRate this definition:0.0 / 0 votes

1. Pullback

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

ChatGPTRate this definition:0.0 / 0 votes

1. pullback

   In mathematics, a pullback is a concept in category theory that captures the intuition of limiting or restricting morphisms to a smaller domain. It refers to the limit of a diagram consisting of two morphisms with a common codomain. A pullback is essentially the most general solution to the problem of finding an object in a category that maps to two given objects under two specified morphisms. Formally, given a category C, and a pair of morphisms f: X → Z and g: Y → Z in C, a pullback of the pair (f, g) is an object P along with two morphisms p1: P → X and p2: P → Y such that the following conditions hold: 1. f o p1 = g o p2 (where "o" denotes composition) 2. For any object Q and pair of morphisms q1: Q → X and q2: Q → Y with f o q1 = g o q2, there exists a unique morphism q: Q → P such that p1 o q = q1 and p2 o q = q2. This second condition exemplifies the universal property of the pullback. That is, the pullback P along with the morphisms p1 and p2 provides the "best" solution in terms of morphisms to the pair (f, g). The pullback, when it exists, is unique up to a unique isomorphism. Pullbacks are important in various areas of mathematics including algebraic geometry, group theory, topology, and homological algebra.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Pullbacknoun

   that which holds back, or causes to recede; a drawback; a hindrance

2. Pullbacknoun

   the iron hook fixed to a casement to pull it shut, or to hold it party open at a fixed point

WikidataRate this definition:0.0 / 0 votes

1. Pullback

   Suppose that φ:M→ N is a smooth map between smooth manifolds M and N; then there is an associated linear map from the space of 1-forms on N to the space of 1-forms on M. This linear map is known as the pullback, and is frequently denoted by φ*. More generally, any covariant tensor field – in particular any differential form – on N may be pulled back to M using φ. When the map φ is a diffeomorphism, then the pullback, together with the pushforward, can be used to transform any tensor field from N to M or vice-versa. In particular, if φ is a diffeomorphism between open subsets of Rn and Rn, viewed as a change of coordinates, then the pullback and pushforward describe the transformation properties of covariant and contravariant tensors used in more traditional approaches to the subject. The idea behind the pullback is essentially the notion of precomposition of one function with another. However, by combining this idea in several different contexts, quite elaborate pullback operations can be constructed. This article begins with the simplest operations, then uses them to construct more sophisticated ones. Roughly speaking, the pullback mechanism turns several constructions in differential geometry into contravariant functors.

Matched Categories

1. • Holding Device
   • Military
   • Withdrawal

Anagrams for pullback »

1. puckball

How to pronounce pullback?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say pullback in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of pullback in Chaldean Numerology is: 1

2. Pythagorean Numerology

   The numerical value of pullback in Pythagorean Numerology is: 6

Examples of pullback in a Sentence

1. Andre Bakhos:

   The market is naturally settling in, taking a breather until the scales tip either way to commence the next move to continued to new heights or a consolidated pullback, it's a pause before the next set of impactful numbers come out, highlighted by the jobs report on Friday.

2. Andre Bakhos:

   You have a little pullback this morning and I don't see it as anything more than that, unless something material, i.e. The Fed goes back on their word, come Wednesday, right now, it looks to be like a healthy pullback and a little profit-taking off the strength on Friday.

3. Benjamin Reitzes:

   After ramping up in late summer, Canadian homebuilding activity took a bit of a breather in October, while the pullback in starts suggests that housing might be a bit of drag on GDP growth in Q4, the decline was welcome as it will ease concerns about overbuilding ignited by the big prints in August and September.

4. Andre Bakhos:

   Right now, it looks to be like a healthy pullback and a little profit-taking off the strength on Friday.

5. George Ratiu:

   The big question for consumers is whether companies will over-react to the recession concerns and start trimming payrolls, a sharp pullback in hiring could have a direct impact on people's ability to keep spending, especially with today's high inflation.

Popularity rank by frequency of use

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=pullback
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Pullback
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Pullback
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/pullback
6. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=pullback