diff --git a/README.md b/README.md
index 32cea49e3884b755ec0b9749408d4c5516600e19..84d693bdfb2f8bbcd4ef9db251baa66ae72b7331 100644
--- a/README.md
+++ b/README.md
@@ -46,7 +46,7 @@ The following additional software is necessary to run the code in this project:
 - [ ] *kurve.m* provides curve values for different shapes of scatterers.
 - [ ] *MyCMap.mat* provides colormap for the plots of expansion coefficients of far field operators.
 - [ ] *projOp.m* simulates projection operator on generalized subspace of non-evanescent far field operators.
-- [ ] *softshrink.m* applies soft-shrinkage operator to a matrix F.
+- [ ] *softshrink.m* applies soft-shrinkage operator to a matrix.
 - [ ] *translOp.m* applies generalized translation operator to a far field matrix.
 
 ## Generating the files
@@ -57,5 +57,5 @@ For generating the Figures 2.1, 2.2 and 3.1 from the work, run
 * *figure_2_2.m* -  **Figure 2.2** (Example 2.6, geometry of kite-shaped scatterer, expansion coefficients of corr. far field operator)
 * *figure_3_1.m* -  **Figure 3.1** (Example 3.4, geometry of kite- and nut-shaped scatterer, expansion coefficients of corr. Born far field operator of order 2)
 * *example_5_1.m* - **Figure 5.1**, **Table 5.1** (Example 5.1, splitting only for two diifferent szenarios, varying distance and size of one scatterer)
-* *example_5_2.m* - **Figure 5.2**, **Table 5.2** (Example 5.1, completion and Splitting for two diifferent geometrical setups for Omega)
-* *example_5_3.m* - **Table 5.3** (Example 5.3, completion and Splitting for two diifferent geometrical setups for Omega)
+* *example_5_2.m* - **Figure 5.2**, **Table 5.2** (Example 5.1, completion for two diifferent geometrical setups for Omega)
+* *example_5_3.m* - **Table 5.3** (Example 5.3, completion and splitting for two diifferent geometrical setups for Omega)