Search results
Results from the WOW.Com Content Network
The notion of pullback as a fiber-product ultimately leads to the very general idea of a categorical pullback, but it has important special cases: inverse image (and pullback) sheaves in algebraic geometry, and pullback bundles in algebraic topology and differential geometry. See also: Pullback (category theory) Fibred category; Inverse image sheaf
The pullback of bundles then corresponds to the inverse image of sheaves, which is a contravariant functor. A sheaf, however, is more naturally a covariant object, since it has a pushforward, called the direct image of a sheaf. The tension and interplay between bundles and sheaves, or inverse and direct image, can be advantageous in many areas ...
AV1 Image File Format Alliance for Open Media (AOMedia) AV1.avif image/avif General purpose royalty-free BAY: Casio RAW Casio.bay BMP: raw-data unencoded or encoded bitmap simple colour image format, far older than Microsoft; some .bmp encoding formats developed/owned by Microsoft.bmp, .dib, .rle,.2bp (2bpp) image/x-bmp Used by many 2D ...
List of the most common filename extensions used when a game's ROM image or storage medium is copied from an original read-only memory (ROM) device to an external memory such as hard disk for back up purposes or for making the game playable with an emulator. In the case of cartridge-based software, if the platform specific extension is not used ...
For premium support please call: 800-290-4726 more ways to reach us
In this case E 1 × E 2 is a fiber bundle over B × B, and pulling back along the diagonal map B → B × B gives a space homeomorphic (diffeomorphic) to E 1 × B E 2, which is a fiber bundle over B. The pullback of two smooth transverse maps into the same differentiable manifold is also a differentiable manifold, and the tangent space of the ...
More generally, any covariant tensor field – in particular any differential form – on may be pulled back to using . When the map ϕ {\displaystyle \phi } is a diffeomorphism , then the pullback, together with the pushforward , can be used to transform any tensor field from N {\displaystyle N} to M {\displaystyle M} or vice versa.
Backoff is a kind of malware that targets point of sale (POS) systems. [1] [2] It is used to steal credit card data from point of sale machines at retail stores. [3] ...