3-NIRVANA-user-guide/3.2-User-interfaces.md

@@ -341,14 +341,14 @@ possible values or a numeric range.
 
 -   `01` (`_C.imr`, `_C.amr`)
 
-    -   `_C.imr` ($\le$`MAXLEVEL`): maximum refinement level for an
+    -   `_C.imr` ($\le$ `MAXLEVEL`): maximum refinement level for an
         initially refined mesh by the user (cf. [User-defined initial
         mesh refinement and refinement
         control](#user-defined-initial-mesh-refinement-and-refinement-control)).
         `_C.imr` cannot be larger than the macro `MAXLEVEL` defined in
         the header file `nirvanaUser.h`.
 
-    -   `_C.amr` ($\le$`MAXLEVEL`): allowed maximum mesh refinement
+    -   `_C.amr` ($\le$i `MAXLEVEL`): allowed maximum mesh refinement
         level in a AMR simulations. `_C.amr` cannot be larger than the
         macro `MAXLEVEL` defined in the header file `nirvanaUser.h`.
 
@@ -404,7 +404,7 @@ possible values or a numeric range.
 
 -   `05` (`_C.amr_Jeans`, `_C.amr_exp`, `_C.amr_Field`)
 
-    -   `_C.amr_Jeans` (typical value: $0.2$): threshold in the
+    -   `_C.amr_Jeans` (typical value: 0.2): threshold in the
         Jeans-length-based mesh refinement criterion (cf.
         [AMR](3.1-Code-basics#adaptive-mesh-refinement)). The value `_C.amr_Jeans`
         defines the fraction of local Jeans length to be resolved by one
@@ -414,12 +414,10 @@ possible values or a numeric range.
     -   `_C.amr_dJeans` ($\ge 0$): tuning parameter for the
         Jeans-length-based mesh refinement criterion allowing a
         systematic reduction of the Jeans threshold with increasing
-        refinement level $l$ according to the expression 
-
-        `_C.amr_Jeans`$-l*$`_C.amr_dJeans`, 
-
+        refinement level $l$ according to the expression
+        `_C.amr_Jeans` $-l*$ `_C.amr_dJeans`
         i.e., the local
-        Jeans length becomes gradually higher resolved with increasing 
+        Jeans length becomes gradually higher resolved with increasing
         $l$. `_C.amr_dJeans` must be positiv. 
 
         **Important**: `_C.amr_dJeans` must be chosen with care such
@@ -427,7 +425,7 @@ possible values or a numeric range.
         negative at some refinement level. Otherwise it will trigger
         mesh refinement up to the maximum refinement level set by `_C.amr`.
 
-    -   `_C.amr_Field` (typical value: $0.2$): threshold in the
+    -   `_C.amr_Field` (typical value: 0.2): threshold in the
         Field-length-based mesh refinement criterion (cf.
         [AMR](3.1-Code-basics#adaptive-mesh-refinement)). The value `_C.amr_Field`
         defines the fraction of the local Field length to be resolved by
@@ -584,7 +582,7 @@ possible values or a numeric range.
         ($=\mu /\mu_0$,$\mu_0 =4\pi\cdot 10^{-7}V\cdot m^{-1}\cdot A^{-1}\cdot s^{-1}$).
 
         **Important:** The Gaussian unit system can be mimicked by
-        choosing a value `_C.permeability_rel`$=10^7$ so that
+        choosing a value `_C.permeability_rel` $=10^7$ so that
         the magnetic permeability is $\mu =4\pi$.
 
 -   `02` (`_C.viscosity`, `_C.viscosity_coeff`)