From dad5a8d8fbbc3bea2a2ea29a0a06436a9a5570a1 Mon Sep 17 00:00:00 2001
From: Matthieu Ancellin <31126826+mancellin@users.noreply.github.com>
Date: Mon, 14 Oct 2024 13:23:24 +0200
Subject: [PATCH 1/2] docs: consistency of variable names

---
 docs/src/tutorials/integral_operators.md | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/docs/src/tutorials/integral_operators.md b/docs/src/tutorials/integral_operators.md
index 1dd6b63f..d0825eed 100644
--- a/docs/src/tutorials/integral_operators.md
+++ b/docs/src/tutorials/integral_operators.md
@@ -59,7 +59,7 @@ nothing # hide
 Much goes on under the hood in the function above, and the sections on
 [correction](@ref "Correction methods") and [compression](@ref "Compression
 methods") methods will provide more details on the options available. The
-important thing to keep in mind is that `S`, `D`, `K`, and `H` are discrete
+important thing to keep in mind is that `S`, `D`, `K`, and `N` are discrete
 approximations of the following (linear) operators:
 
 ```math
@@ -71,7 +71,7 @@ approximations of the following (linear) operators:
 \end{aligned}
 ```
 
-The actual type of `S`, `D`, `K`, and `H` depends on the `compression` and
+The actual type of `S`, `D`, `K`, and `N` depends on the `compression` and
 `correction` methods. In the simple case above, these are simply matrices:
 
 ```@example integral_operators

From f629bc22ae6c3d11532fc802f7e4373ee0d617b8 Mon Sep 17 00:00:00 2001
From: Matthieu Ancellin <31126826+mancellin@users.noreply.github.com>
Date: Mon, 14 Oct 2024 16:58:29 +0200
Subject: [PATCH 2/2] Replace D' by K

---
 docs/src/tutorials/integral_operators.md | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/docs/src/tutorials/integral_operators.md b/docs/src/tutorials/integral_operators.md
index d0825eed..944e620c 100644
--- a/docs/src/tutorials/integral_operators.md
+++ b/docs/src/tutorials/integral_operators.md
@@ -66,7 +66,7 @@ approximations of the following (linear) operators:
 \begin{aligned}
     S[\sigma](\boldsymbol{x}) &:= \int_{\Gamma} G(\boldsymbol{x}, \boldsymbol{y}) \sigma(\boldsymbol{y}) \mathrm{d} s_{\boldsymbol{y}}, \quad 
     &&D[\sigma](\boldsymbol{x}) := \mathrm{p.v.} \int_{\Gamma} \frac{\partial G}{\partial \nu_{\boldsymbol{y}}}(\boldsymbol{x}, \boldsymbol{y}) \sigma(\boldsymbol{y}) \mathrm{d} s_{\boldsymbol{y}} \\
-    D'[\sigma](\boldsymbol{x}) &:=  \mathrm{p.v.} \int_{\Gamma} \frac{\partial G}{\partial \nu_{\boldsymbol{x}}}(\boldsymbol{x}, \boldsymbol{y}) \sigma(\boldsymbol{y}) \mathrm{d} s_{\boldsymbol{y}}, \quad
+    K[\sigma](\boldsymbol{x}) &:=  \mathrm{p.v.} \int_{\Gamma} \frac{\partial G}{\partial \nu_{\boldsymbol{x}}}(\boldsymbol{x}, \boldsymbol{y}) \sigma(\boldsymbol{y}) \mathrm{d} s_{\boldsymbol{y}}, \quad
     &&N[\sigma](\boldsymbol{x}) := \mathrm{f.p.} \int_{\Gamma} \frac{\partial^2 G}{\partial \nu_{\boldsymbol{x}} \partial \nu_{\boldsymbol{y}}}(\boldsymbol{x}, \boldsymbol{y}) \sigma(\boldsymbol{y}) \mathrm{d} s_{\boldsymbol{y}}
 \end{aligned}
 ```
@@ -133,7 +133,7 @@ Calderón projectors:
 \begin{aligned}
 H = \begin{bmatrix}
     -D & S \\
-    -N & D'
+    -N & K
 \end{bmatrix} 
 \end{aligned}
 ```