3-NIRVANA-user-guide/3.1-Code-basics.md

@@ -118,7 +118,7 @@ density only contains the residual magnetic field part. More details:
 [Physics
 guide](https://gitlab.aip.de/ziegler/NIRVANA/-/tree/master/doc/pdf/PhysicsGuide.pdf).
 Use of the magnetic field splitting scheme is controlled in the header
-file [`nirvanaUser.h`](#user-controllable-macros) and definition of the
+file [`nirvanaUser.h`](3.2-User-interfaces#user-controllable-macros) and definition of the
 background magnetic field in module
 [`sourceB0User.c`](3.2-User-interfaces#user-defined-background-magnetic-field).
 
@@ -152,21 +152,21 @@ arrays are essential in code usage. The code fragment
 
 demonstrates how to create, for instance,
 
--   \(i\) a vector `v[ix]`, \...`nx`, of `int` type with `nx`+1 elements
+-   \(i\) a vector `v[ix]`, 0...`nx`, of `int` type with `nx`+1 elements
     using the function `Arrayi()`,
 
--   \(ii\) a 2D array `A2[iy][ix]`, \...`nx`,\...`ny`, of `double` type
+-   \(ii\) a 2D array `A2[iy][ix]`, 0...`nx`,0...`ny`, of `double` type
     with (`nx`+1)$\times$(`ny`+1) elements using the function
     `Array2()`,
 
--   \(iii\) a 3D array `A3[iz][iy][ix]`, \...`nx`,\...`ny`,\...`nz`, of
+-   \(iii\) a 3D array `A3[iz][iy][ix]`, 0...`nx`,0...`ny`,0...`nz`, of
     `double` type with (`nx`+1)$\times$(`ny`+1)$\times$(`nz`+1) elements
     using the function `Array3()`
 
 and its subsequent deallocation. Note that in multi-d arrays the fastest
 index representing the $x$-direction is rightmost.
 
-**Important.** Allocation of an array must always be followed by its
+**Important:** Allocation of an array must always be followed by its
 deallocation when it is no longer used in order to free memory
 resources.
 
@@ -184,8 +184,8 @@ struct type `GRD`, i.e. `*GRD`. The `GRD` struct type is declared in the
 header file `nirvana.h` and contains all grid information (attributes,
 coordinates, variables arrays, etc.). Dereferencing `gm` to `gm[l]`,
 gives the first superblock in a linked list collecting all superblocks
-belonging to mesh refinement level $l$. `gm[l]`, like any superblock, is
-of `GRD` type, i.e., a pointer to struct `GRD`. The base level, $l=0$,
+belonging to mesh refinement level `l`. `gm[l]`, like any superblock, is
+of `GRD` type, i.e., a pointer to struct `GRD`. The base level, `l`=0$,
 spanning the computational domain starts with pointer `gm[0]`. In
 uniform grid simulations that is the only list existing. The superblocks
 of a refinement level $l$ are obtained by running through the