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.
Podcasts:
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by T-Pain
Blowing Up
by: T-PainT-Pain:
You get me so enegetic
everything is copacetic
slide with a nigga I'm so electric
and baby girl you can bet it all
and you aint got to sweat it
go home and put on that dress lets
go out there will be no more stressing
and girl tonight I'm gonna be your dog
Ciara:
oww i like it you know I'm the type to have fun
slow wine it you can jump on in if you want
T-Pain:
baby girl dont fight it
you know tonight's your night
we can go use it though and abuse because your like
T-Pain:
techno music
Ciara:
electronica
T-Pain
baby lets do this
Ciara:
boy i want to love
T-Pain
i got to be real girl i don't feel like growing up
the bartender filling up my cup
if you looking for love girl your in luck cause I'm blowing Up
I'm blowing up (blowing up)
I'm blowing up (blowing up)
I'm blowing up (blowing up)
Bartender filling up my cup
cuz I'm blowing up
I'm blowing up (blowing up)
I'm blowing up (blowing up)
I'm blowing up
Wassup with that good connection
I got one simple question
can i be on your guest list
and boy tonight we gonna get it on
oww i feel like this is destined
to happen relaxing
enjoy what we got cracking
because we got something special going on
T-Pain
oww i like it
you know I'm the type to have fun
slow wine it girl don't try to fight what you want
Ciara:
Oww baby boy I'm trying
you know tonight's your night
we can go use it though and abuse because your like
T-Pain:
techno music
Ciara:
electronica
T-Pain
baby lets do this
Ciara:
boy i want to love
T-Pain
i got to be real girl i don't feel like growing up
the bartender filling up my cup
if you looking for love girl your in luck cuz I'm blowing Up
I'm blowing up (blowing up)
I'm blowing up (blowing up)
I'm blowing up (blowing up)
Bartender filling up my cup
cuz I'm blowing up
I'm blowing up (blowing up)
I'm blowing up (blowing up)
I'm blowing up
*Converstation*
T-Pain:
oww i like it
you know I'm the type to have fun
slow wine it girl don't try to fight what you want
Ciara:
Oww baby boy I'm trying
you know tonight's your night
we can go use it though and abuse because your like
T-Pain:
techno music
Ciara:
electronica
T-Pain
baby lets do this
Ciara:
boy i want to love
T-Pain
i got to be real girl i don't feel like growing up
the bartender filling up my cup
if you looking for love girl your in luck cuz I'm blowing Up
I'm blowing up (blowing up)
I'm blowing up (blowing up)
I'm blowing up (blowing up)
Bartender filling up my cup
cuz I'm blowing up
I'm blowing up (blowing up)
I'm blowing up (blowing up)
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Sportingnews 22 Mar 2025- 1
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