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Smooth vector may refer to: Smooth vector for a strongly continuous group action; see group action; Smooth vector field on a differentiable manifold; see tangent space; A smooth vector in a representation is a vector such that the action at the vector is a smooth function
In November 2017, SketchUp Free was released as a web-based application which replaces SketchUp Make. [25] Drawings can be saved to the cloud, saved locally as a native SKP file, or exported as an STL file. Compared to Make, SketchUp Free does not support extensions, creation, and editing of materials. The product is not for commercial use. [26]
The Caps Lock key on a PC keyboard with US keyboard layout (near upper-left corner, below the Tab key and above the left Shift key). Caps Lock⇪ Caps Lock is a button on a computer keyboard that causes all letters of bicameral scripts to be generated in capital letters.
Common smooth functors include, for some vector space W: [2] F(W) = ⊗ n W, the nth iterated tensor product; F(W) = Λ n (W), the nth exterior power; and F(W) = Sym n (W), the nth symmetric power. Smooth functors are significant because any smooth functor can be applied fiberwise to a differentiable vector bundle on a manifold.
For smooth functions on a surface, vector fields (i.e. tangent vector fields) have an important interpretation as first order operators or derivations. Let S {\displaystyle S} be a regular surface, U {\displaystyle U} an open subset of the plane and f : U → S {\displaystyle f:U\rightarrow S} a coordinate chart.
MPEG-1 Layer 3 file without an ID3 tag or with an ID3v1 tag (which is appended at the end of the file) 49 44 33: ID3: 0 mp3 MP3 file with an ID3v2 container 42 4D: BM: 0 bmp dib BMP file, a bitmap format used mostly in the Windows world 43 44 30 30 31: CD001: 0x8001 0x8801 0x9001 iso ISO9660 CD/DVD image file [40] 43 44 30 30 31: CD001: 0x5EAC9 ...
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If each transition function is a smooth map, then the atlas is called a smooth atlas, and the manifold itself is called smooth. Alternatively, one could require that the transition maps have only k continuous derivatives in which case the atlas is said to be C k {\displaystyle C^{k}} .