278 |
|
bead $i$ and origin $O$, the elements of resistance tensor at |
279 |
|
arbitrary origin $O$ can be written as |
280 |
|
\begin{eqnarray} |
281 |
< |
\Xi _{}^{tt} = \sum\limits_i {\sum\limits_j {C_{ij} } } \notag , \\ |
282 |
< |
\Xi _{}^{tr} = \Xi _{}^{rt} = \sum\limits_i {\sum\limits_j {U_i C_{ij} } } , \\ |
283 |
< |
\Xi _{}^{rr} = - \sum\limits_i {\sum\limits_j {U_i C_{ij} } } U_j. \notag \\ |
281 |
> |
\Xi _{}^{tt} & = & \sum\limits_i {\sum\limits_j {C_{ij} } } \notag , \\ |
282 |
> |
\Xi _{}^{tr} & = & \Xi _{}^{rt} = \sum\limits_i {\sum\limits_j {U_i C_{ij} } } , \\ |
283 |
> |
\Xi _{}^{rr} & = & - \sum\limits_i {\sum\limits_j {U_i C_{ij} } } U_j. \notag \\ |
284 |
|
\label{introEquation:ResistanceTensorArbitraryOrigin} |
285 |
|
\end{eqnarray} |
286 |
|
The resistance tensor depends on the origin to which they refer. The |