From 23aea1925ace962dc938fd77a702bceb4674f52b Mon Sep 17 00:00:00 2001 From: yh202109 Date: Sun, 21 Jul 2024 19:55:30 -0400 Subject: [PATCH] v0.2.20 --- docs/statlab_kappa2.rst | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/docs/statlab_kappa2.rst b/docs/statlab_kappa2.rst index 1b7a63e4..c747b2f6 100644 --- a/docs/statlab_kappa2.rst +++ b/docs/statlab_kappa2.rst @@ -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)`