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

@@ -1773,12 +1773,12 @@ user must check whether the testpoint lies within its specified domain
 and return the requested refinement level `level` for that domain.
 
 `level` is limited by the constraint
-$|\mathtt{level}|\le\mathtt{\_C.imr}$ where `_C.imr` is the maximum
+|`level`|<=`_C.imr` where `_C.imr` is the maximum
 allowed initial mesh refinement level as specified in file `nirvana.par`
 below category MESH REFINEMENT. In practice, the user defines spatial
 domains in `initDomainUser()` via mathematical relations. Here is an
 example which illustrates the procedure. It refines the vicinity of a
-spherical interface with radius $0.1$ centered at $(x,y,z)=(0.3,0,0)$
+spherical interface with radius 0.1 centered at (x,y,z)=(0.3,0,0)
 with refinement level 4:
 
     int initDomainUser(double x, double y, double z)
@@ -1835,7 +1835,7 @@ established smoothly.
 An initially refined domain is, by default, subject to derefinement
 during runtime according to the standard refinement criteria. However,
 it can also be marked as static by returning a negative value
-$\mathtt{level}<0$ with $|\mathtt{level}|$ then the requested refinement
+`level`<0 with |`level`| then the requested refinement
 level. No derefinement occurs during runtime but, on the other hand,
 further dynamic refinement on the initially refined domains is possible.
 
@@ -1852,13 +1852,13 @@ spatial domains via mathematical relations, checks whether the testpoint
 lies inside a certain domain or not, and returns the corresponding
 control value `level` for that domain:
 
--   $\mathtt{level}=0$: no restriction for mesh refinement
+-   `level`=0: no restriction for mesh refinement
 
--   $\mathtt{level}=-1$: prohibits mesh refinement on that domain
+-   `level`=-1: prohibits mesh refinement on that domain
 
--   $\mathtt{level}>0$: forces step-by-step mesh refinement on that
+-   `level`>0: forces step-by-step mesh refinement on that
     domain up to level `level` subject to the constraint
-    $\mathtt{level}\le \mathtt{\_C.amr}$ where parameter `_C.amr` is the
+    `level}<=`_C.amr` where parameter `_C.amr` is the
     maximum allowed mesh refinement level as specified in file
     `nirvana.par` below category MESH REFINEMENT.