fixes #2521

Author: edzer

vignettes/sf2.Rmd

@@ -144,7 +144,7 @@ st_write(nc, "nc1.shp")
 ```
 
 The file name is taken as the data source name. The default for
-the layer name is the basename (filename without path) of the the
+the layer name is the basename (filename without path) of the
 data source name. For this, `st_write()` needs to guess the driver. The
 above command is, for instance, equivalent to:
 

vignettes/sf3.Rmd

@@ -230,7 +230,7 @@ between each pair of geometries:
 ```{r}
 st_relate(x,y)
 ```
-element [i,j] of this matrix has nine characters, referring to relationship between x[i] and y[j], encoded as $I_xI_y,I_xB_y,I_xE_y,B_xI_y,B_xB_y,B_xE_y,E_xI_y,E_xB_y,E_xE_y$ where $I$ refers to interior, $B$ to boundary, and $E$ to exterior, and e.g. $B_xI_y$ the dimensionality of the intersection of the the boundary $B_x$ of x[i] and the interior $I_y$ of y[j], which is one of {0,1,2,F}, indicating zero-, one-, two-dimension intersection, and (F) no intersection, respectively.
+element [i,j] of this matrix has nine characters, referring to relationship between x[i] and y[j], encoded as $I_xI_y,I_xB_y,I_xE_y,B_xI_y,B_xB_y,B_xE_y,E_xI_y,E_xB_y,E_xE_y$ where $I$ refers to interior, $B$ to boundary, and $E$ to exterior, and e.g. $B_xI_y$ the dimensionality of the intersection of the boundary $B_x$ of x[i] and the interior $I_y$ of y[j], which is one of {0,1,2,F}, indicating zero-, one-, two-dimension intersection, and (F) no intersection, respectively.
 
 ### Binary logical operations: 
 Binary logical operations return either a sparse matrix
@@ -243,7 +243,7 @@ st_intersects(x, x, sparse = FALSE)
 st_intersects(x, y, sparse = FALSE)
 ```
 where list element `i` of a sparse matrix contains the indices of
-the `TRUE` elements in row `i` of the the dense matrix. For large
+the `TRUE` elements in row `i` of the dense matrix. For large
 geometry sets, dense matrices take up a lot of memory and are
 mostly filled with `FALSE` values, hence the default is to return
 a sparse matrix.