Isomorphism - Wikipedia

Isomorphism - Wikipedia: "is a homomorphism or morphism (i.e. a mathematical mapping) that admits an inverse.["



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Differential structure - Wikipedia

Differential structure - Wikipedia: "In mathematics, an n-dimensional differential structure (or differentiable structure) on a set M makes M into an n-dimensional differential manifold, which is a topological manifold with some additional structure that allows for differential calculus on the manifold. If M is already a topological manifold, it is required that the new topology be identical to the existing one.
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Watch crystals | Europa Star Magazine

Watch crystals | Europa Star Magazine: "A watch crystal is a transparent cover that protects the watch face"



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Portal:Manufacturers – Watch-Wiki

Portal:Manufacturers – Watch-Wiki: "The Portal Manufacturers gives an overview of the Manufacturers pages in Watch Wiki. New authors, who would like to help us with the extension of our data collection, are cordially welcome. Everything that is needed for helping you can find in the authors assistance Manufacturers.
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Lie bracket of vector fields - Wikipedia

Lie bracket of vector fields - Wikipedia: "Conceptually, the Lie bracket [X,Y] is the derivative of Y along the flow generated by X. A generalization of the Lie bracket is the Lie derivative, which allows differentiation of any tensor field along the flow generated by X. The Lie bracket [X,Y] equals the Lie derivative of the vector Y (which is a tensor field) along X, and is sometimes denoted "



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Multivariable calculus - Wikipedia

Multivariable calculus - Wikipedia: "Fundamental theorem of calculus in multiple dimensions[edit]
In single-variable calculus, the fundamental theorem of calculus establishes a link between the derivative and the integral. The link between the derivative and the integral in multivariable calculus is embodied by the integral theorems of vector calculus:[1]:543ff
Gradient theorem
Stokes' theorem
Divergence theorem
Green's theorem.
In a more advanced study of multivariable calculus, it is seen that these four theorems are specific incarnations of a more general theorem, the generalized Stokes' theorem, which applies to the integration of differential forms over manifolds.[2]"



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Symmetric bilinear form - Wikipedia

Symmetric bilinear form - Wikipedia: "In other words, it is a bilinear function {\displaystyle B} that maps every pair {\displaystyle (u,v)} of elements of the vector space {\displaystyle V} to the underlying field such that {\displaystyle B(u,v)=B(v,u)} for every {\displaystyle u} and {\displaystyle v} in {\displaystyle V} ."



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