remove trailing whitespace

This commit is contained in:
Axel Kohlmeyer
2020-06-30 17:48:18 -04:00
parent 1035dcd4cc
commit 6af407d01e
14 changed files with 70 additions and 70 deletions

View File

@ -61,8 +61,8 @@ The summation is over the *nnn* nearest
neighbors of the central atom.
The angles :math:`theta` and :math:`phi` are the standard spherical polar angles
defining the direction of the bond vector :math:`r_{ij}`.
The phase and sign of :math:`Y_{lm}` follow the standard conventions,
so that :math:`{\rm sign}(Y_{ll}(0,0)) = (-1)^l`.
The phase and sign of :math:`Y_{lm}` follow the standard conventions,
so that :math:`{\rm sign}(Y_{ll}(0,0)) = (-1)^l`.
The second equation defines :math:`Q_l`, which is a
rotationally invariant non-negative amplitude obtained by summing
over all the components of degree *l*\ .
@ -181,13 +181,13 @@ values for each atom will be added to the output array, which are real numbers.
If the keyword *components* is set, then the real and imaginary parts
of each component of *normalized* :math:`\hat{Y}_{lm}` will be added to the
output array in the following order: :math:`{\rm Re}(\hat{Y}_{-m}), {\rm Im}(\hat{Y}_{-m}),
{\rm Re}(\hat{Y}_{-m+1}), {\rm Im}(\hat{Y}_{-m+1}), \dots , {\rm Re}(\hat{Y}_m), {\rm Im}(\hat{Y}_m)`.
output array in the following order: :math:`{\rm Re}(\hat{Y}_{-m}), {\rm Im}(\hat{Y}_{-m}),
{\rm Re}(\hat{Y}_{-m+1}), {\rm Im}(\hat{Y}_{-m+1}), \dots , {\rm Re}(\hat{Y}_m), {\rm Im}(\hat{Y}_m)`.
In summary, the per-atom array will contain *nlvalues* columns, followed by
an additional *nlvalues* columns if *wl* is set to yes, followed by
an additional *nlvalues* columns if *wl/hat* is set to yes, followed
by an additional 2\*(2\* *ldegree*\ +1) columns if the *components*
by an additional 2\*(2\* *ldegree*\ +1) columns if the *components*
keyword is set.
These values can be accessed by any command that uses per-atom values