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math.GM2021
New Analytical Expressions for the Levi-Civita Symbol and Its Treatment as a Generalized Function
W. Astar
New analytical expressions are found for the Levi-Civita symbol using the Kronecker delta symbol. The expressions are derived up to 3 dimensions, extended to higher dimensions, and…
math.GM2021
The Z-Transform of the Levi-Civita Symbol
W. Astar
A derivation of the Z-transform of the Levi-Civita symbol is carried out up to 3 dimensions, and generalized to higher dimensions. Using its Z-transforms, corresponding expressions…
math.GM2021★ 1 cited
A new analytical formula for the inverse of a square matrix
W Astar
A concise analytical formula is developed for the inverse of an invertible 3 x 3 matrix using a telescoping method, and is generalized to larger square matrices. The formula is con…