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A Pictorial Method of Visualizing Curl Determinant Operation Utilized in Electromagnetics

机译:电磁学中卷曲与行列式运算可视化的图解法

摘要

Curl and Determinant operations are well known in the field of Electromagnetics and fluiddynamics.Famous Maxwell’s equations involve curl operation. Though this operation is widely used to represent rotation, we do not have sufficient literature explaining how this operation represents rotation.Most of the books omit detailed discussion on the physical interpretation of the Curl and Determinant operation.In this paper we have attempted to develop a pictorial method to provide a logical proof showing the versatility of this operation to study the rotating vectors. We further show how this pictorialmethod simplifies the fundamental expression with regard todeterminants.
机译:卷曲和行列式运算在电磁学和流体动力学领域是众所周知的。著名的麦克斯韦方程组涉及卷曲运算。尽管此操作广泛用于表示旋转,但我们尚无足够的文献解释此操作如何表示旋转。大多数书籍都省略了对Curl和行列式操作的物理解释的详细讨论。图解方法,提供了逻辑证明,证明了此操作的多功能性,可研究旋转矢量。我们进一步展示了该图形方法如何简化行列式的基本表达。

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