What does blowing up mean?
Definitions for blowing up
blow·ing up
This dictionary definitions page includes all the possible meanings, example usage and translations of the word blowing up.
Princeton's WordNet
berating, blowing upnoun
a severe rebuke
"he deserved the berating that the coach gave him"
Wikipedia
Blowing up
In mathematics, blowing up or blowup is a type of geometric transformation which replaces a subspace of a given space with all the directions pointing out of that subspace. For example, the blowup of a point in a plane replaces the point with the projectivized tangent space at that point. The metaphor is that of zooming in on a photograph to enlarge part of the picture, rather than referring to an explosion. Blowups are the most fundamental transformation in birational geometry, because every birational morphism between projective varieties is a blowup. The weak factorization theorem says that every birational map can be factored as a composition of particularly simple blowups. The Cremona group, the group of birational automorphisms of the plane, is generated by blowups. Besides their importance in describing birational transformations, blowups are also an important way of constructing new spaces. For instance, most procedures for resolution of singularities proceed by blowing up singularities until they become smooth. A consequence of this is that blowups can be used to resolve the singularities of birational maps. Classically, blowups were defined extrinsically, by first defining the blowup on spaces such as projective space using an explicit construction in coordinates and then defining blowups on other spaces in terms of an embedding. This is reflected in some of the terminology, such as the classical term monoidal transformation. Contemporary algebraic geometry treats blowing up as an intrinsic operation on an algebraic variety. From this perspective, a blowup is the universal (in the sense of category theory) way to turn a subvariety into a Cartier divisor. A blowup can also be called monoidal transformation, locally quadratic transformation, dilatation, σ-process, or Hopf map.
ChatGPT
blowing up
In mathematics, blowing up is a type of geometric transformation that replaces a point in a space with an entire sphere of points. Blowing up is mainly used in algebraic geometry and complex geometry to simplify or study the geometry and topology of a variety or a scheme. In the general context or non-mathematical context, "blowing up" could have different meanings based on its usage. It could mean exploding, dramatically increasing in size, amount or degree, or gaining rapid popularity, especially in social media context. The specific definition depends on the context in which it's being used.
Wikidata
Blowing up
In mathematics, blowing up or blowup is a type of geometric transformation which replaces a subspace of a given space with all the directions pointing out of that subspace. For example, the blowup of a point in a plane replaces the point with the projectivized tangent space at that point. The metaphor is that of zooming in on a photograph to enlarge part of the picture, rather than referring to an explosion. Blowups are the most fundamental transformation in birational geometry, because every birational morphism between projective varieties is a blowup. The weak factorization theorem says that all birational morphisms can be factored as a composition of particularly simple blowups. The Cremona group, the group of birational automorphisms of the plane, is generated by blowups. Besides their importance in describing birational transformations, blowups are also an important way of constructing new spaces. For instance, most procedures for resolution of singularities proceed by blowing up singularities until they become smooth. A consequence of this is that blowups can be used to resolve the singularities of birational maps. Classically, blowups were defined extrinsically, by first defining the blowup on spaces such as projective space using an explicit construction in coordinates and then defining blowups on other spaces in terms of an embedding. This is reflected in some of the terminology, such as the classical term monoidal transformation. Contemporary algebraic geometry treats blowing up as an intrinsic operation on an algebraic variety. From this perspective, a blowup is the universal way to turn a subvariety into a Cartier divisor.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of blowing up in Chaldean Numerology is: 5
Pythagorean Numerology
The numerical value of blowing up in Pythagorean Numerology is: 2
Examples of blowing up in a Sentence
I’m worried for the whole neighborhood because that whole neighborhood is blowing up. we do suspect that this, with it being so close and being on the same exact block number, that they are most likely all related as far as the gas is concerned.
Ru-propaganda lives in a fictional world : [ Ukrainian ] woman and her 12-year-old child were' assigned' responsible for blowing up the car of Darya Dugina. Surprisingly, they did not find the' Estonian visa' on the spot.
It’s CYA [ cover your a -- ] week in Washington, the Senate is taking a guaranteed-to-fail vote on blowing up the filibuster so that [ Majority Leader ] Chuck Schumer can ward off a primary challenge from Alexandria Ocasio-Cortez and so that Ron Klain can throw some chum at the Democratic Party’s progressive base.
There had been fears about the bond market blowing up, but for the time being there's a return to normal correlation in the market, so we don't see a vicious cycle where bonds bring down equities and equities brings down bonds.
They've tried to paper over the underlying conflict but that's blowing up in their faces, it's make or break time for the AfD. Either they'll sort it out or they're doomed.
Translations for blowing up
From our Multilingual Translation Dictionary
- explotandoSpanish
- explodindoPortuguese
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"blowing up." Definitions.net. STANDS4 LLC, 2024. Web. 19 Apr. 2024. <https://www.definitions.net/definition/blowing+up>.
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