几何代数中的套坐标系
Nested Coordinate Systems in Geometric Algebra
摘要：
嵌套坐标系是重新分配自变量以利用特定应用的几何或对称属性。极坐标系、柱面坐标系和球面坐标系是这种重新组合的主要例子，它们在解偏微分方程的分离变量法中已证明了它们的重要性。几何代数提供了强大的免费的代数工具，在其他治疗中不可用。
英文摘要：
A nested coordinate system is a reassigning of independent variables to take advantage of geometric or symmetry properties of a particular application. Polar, cylindrical and spherical coordinate systems are primary examples of such a regrouping that have proved their importance in the separation of variables method for solving partial differential equations. Geometric algebra offers powerful complimentary algebraic tools that are unavailable in other treatments.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
