Tensor Notation | Name | Vector Notation | Expanded | |
---|---|---|---|---|
A. | \(a_i b_i\) | Vector Dot Product | \({\bf a} \cdot {\bf b}\) | \(a_x b_x + a_y b_y + a_z b_z\) |
B. | \(\epsilon_{rst} a_r b_t\) | No need to expand | ||
C. | \(A_{rs} B_{ts}\) | No need to expand | ||
D. | \(A_{ii}\) | |||
E. | \(\boldsymbol{\sigma}_{ij,j}\) | No need to expand | ||
F. | \(f_{,kk}\) |