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v0.2.20
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yh202109 committed Jul 21, 2024
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3 changes: 2 additions & 1 deletion docs/statlab_kappa2.rst
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Expand Up @@ -312,7 +312,8 @@ The second element of :eq:`eq_kappa2_vn2` can be calculated, using
:label: eq_kappa2_vn5
E\left( \sum_j\sum_{k \neq j} N_{ij}^2 N_{ik}^2 \right)
=& R(R-1) + R(R-1)(2R-5)(\sum_j p_j^2) - 2R(R-1)(R-2)(\sum_j p_j^3) - R(R-1)(R-2)(R-3) \sum_j p_j^4 + R(R-1)(R-2)(R-3) (\sum_{j} p_j^2)^2
= R(R-1) + R(R-1)(2R-5)(\sum_j p_j^2)
- 2R(R-1)(R-2)(\sum_j p_j^3) - R(R-1)(R-2)(R-3) \sum_j p_j^4 + R(R-1)(R-2)(R-3) (\sum_{j} p_j^2)^2
Combining :eq:`eq_kappa2_vn3`, :eq:`eq_kappa2_vn4`, and :eq:`eq_kappa2_vn5`,
:eq:`eq_kappa2_vn2` can be calculated as [2]_ :sup:`(Eq. 15)`
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