论文标题
用几何代数可视化Stokes的定理
Visualizing Stokes' theorem with Geometric Algebra
论文作者
论文摘要
使用几何代数可视化广义Stokes定理的基础案例。从考虑双性体估值场，很少获得定理的两个使用实例。给出了图形表示，显示了与广义差异相对应的径向自旋结构，用于广义差异。讨论了具有非平凡拓扑的自然现象的二元性和应用。
Foundational cases of the generalized Stokes' theorem are visualized using geometric algebra. From considering bivector valued fields, two seldom used instances of the theorem are obtained. Graphical representations are given, showing a radial spin structure corresponding to the generalized curl and a toroidal vortex for the generalized divergence. Dualities and applications to natural phenomena with non-trivial topology are discussed.
