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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.
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]
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.
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Non-analytic smooth function – Mathematical functions which are smooth but not analytic; Quasi-analytic function; Singularity (mathematics) – Point where a function, a curve or another mathematical object does not behave regularly; Sinuosity – Ratio of arc length and straight-line distance between two points on a wave-like function