small corrections. remove redundant statement.
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@ -48,9 +48,8 @@ different sigma values as in :doc:`pair style lj/cut/sphere
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\left(\frac{\sigma}{r - \Delta}\right)^6 \right]
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\qquad r < r_c + \Delta
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:math:`r_c` is the cutoff ratio which does not include the `\Delta`
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:math:distance. I.e. the actual force cutoff is the sum
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:math:`r_c + \Delta`.
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:math:`r_c` is the cutoff which does not include the distance :math:`\Delta`.
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I.e. the actual force cutoff is the sum :math:`r_c + \Delta`.
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This is the same potential function used by the :doc:`lj/expand
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<pair_lj>` pair style, but the :math:`\Delta` parameter is not
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@ -58,7 +57,6 @@ set as a per-type parameter via the :doc:`pair_coeff command
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<pair_coeff>`. Instead it is calculated individually for each pair
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using the per-atom diameter attribute of :doc:`atom_style sphere
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<atom_style>` for the two atoms as the average diameter, :math:`\Delta = \frac{1}{2} (d_i + d_j)`
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The cutoff is the specified cutoff :math:`r_c` plus the shift distance :math:`\Delta`.
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Note that :math:`\sigma` is defined in the LJ formula above as the
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zero-crossing distance for the potential, *not* as the energy minimum which
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