18 нояб. 2017 г. · I'm learning that there are several theorems, like the divergence theorem, that are special cases of the generalized Stokes Theorem.

8 авг. 2019 г. · Intuition Behind Generalized Stokes Theorem · The divergence operator can be discovered by computing the flux of a vector field over the surface ...

5 апр. 2019 г. · For k=1 in R, the Generalized Stokes Theorem implies the Fundamental Theorem of Calculus. You can prove this rigorously or simply note that (∇ ...

8 мая 2016 г. · In the general Stokes' theorem ∫Mdω=∫∂Mω, M is an oriented manifold with boundary, and ∂M is the boundary with a particular induced ...

9 мая 2024 г. · I'm interested in expressing the theorem in the language of classical vector calculus for an m-dimensional manifold M in an n-dimensional space.

3 авг. 2013 г. · Stoke's theorem holds whenever the form ω is C1. That said, the form r2dθ is in fact smooth, as r2dθ=xdy−ydx.

2 дек. 2022 г. · This is how Stokes' theorem generalises the FTC. In words, it says that the integral of a derivative over a region is the same as the integral ...

23 окт. 2017 г. · In physics, one considers a generalized form of this equation, where the manifold need not be compact, and the differential form need not be ...

17 мая 2013 г. · Stokes' theorem allows us to divide that information into two categories: sources outside a given volume, and sources inside.

31 дек. 2015 г. · Could someone give advice or recommend study materials to help understand the generalized Stokes' theorem both intuitively and rigorously? Baby ...