diff --git a/_search-plugins/knn/approximate-knn.md b/_search-plugins/knn/approximate-knn.md
index 5e0558f7..d57d1640 100644
--- a/_search-plugins/knn/approximate-knn.md
+++ b/_search-plugins/knn/approximate-knn.md
@@ -299,7 +299,7 @@ A space corresponds to the function used to measure the distance between two poi
| \[ d(\mathbf{x}, \mathbf{y}) = 1 - cos { \theta } = 1 - {\mathbf{x} · \mathbf{y} \over \|\mathbf{x}\| · \|\mathbf{y}\|}\]\[ = 1 -
{\sum_{i=1}^n x_i y_i \over \sqrt{\sum_{i=1}^n x_i^2} · \sqrt{\sum_{i=1}^n y_i^2}}\]
where \(\|\mathbf{x}\|\) and \(\|\mathbf{y}\|\) represent the norms of vectors x and y respectively. |
- nmslib and faiss:\[ score = {1 \over 1 + d } \]
Lucene:\[ score = {1 + d \over 2}\] |
+ nmslib and faiss:\[ score = {1 \over 1 + d } \]
Lucene:\[ score = {2 - d \over 2}\] |
| innerproduct (not supported for Lucene) |
diff --git a/_search-plugins/knn/knn-score-script.md b/_search-plugins/knn/knn-score-script.md
index 268bc4cc..c8fa5ad5 100644
--- a/_search-plugins/knn/knn-score-script.md
+++ b/_search-plugins/knn/knn-score-script.md
@@ -306,10 +306,10 @@ A space corresponds to the function used to measure the distance between two poi
| cosinesimil |
- \[ d(\mathbf{x}, \mathbf{y}) = cos \theta = {\mathbf{x} · \mathbf{y} \over \|\mathbf{x}\| · \|\mathbf{y}\|}\]\[ =
+ | \[ d(\mathbf{x}, \mathbf{y}) = 1 - cos { \theta } = 1 - {\mathbf{x} · \mathbf{y} \over \|\mathbf{x}\| · \|\mathbf{y}\|}\]\[ = 1 -
{\sum_{i=1}^n x_i y_i \over \sqrt{\sum_{i=1}^n x_i^2} · \sqrt{\sum_{i=1}^n y_i^2}}\]
- where \(\|\mathbf{x}\|\) and \(\|\mathbf{y}\|\) represent normalized vectors. |
- \[ score = 1 + d \] |
+ where \(\|\mathbf{x}\|\) and \(\|\mathbf{y}\|\) represent the norms of vectors x and y respectively.
+ \[ score = 2 - d \] |
| innerproduct (not supported for Lucene) |