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

@@ -1303,15 +1303,15 @@ viscous stress tensor *τ* given by
 
 *τ* = *ν*\[∇**v**+(∇**v**)<sup>⊤</sup>−2/3(∇⋅**v**)*I*\]
 
-where *ν* \[`k``g` ⋅ `m`<sup> − 1</sup> ⋅ `s`<sup> − 1</sup>\] is the
+where *ν* \[kg⋅m<sup>−1</sup>⋅s<sup>−1</sup>\] is the
 *dynamic* viscosity coefficient, **v** the fluid velocity and *I* the
 identity operator.
 
 *Note: The *dynamic* viscosity coefficient *ν* to be defined here should
 not be confused with the kinetic coefficient,*
-*ν*<sub>*k**i**n**e**t**i**c*</sub>
-\[`m`<sup>2</sup> ⋅ `s`<sup> − 1</sup>\], *related to the dynamic
-coefficient by* *ν* = 𝜚*ν*<sub>*k**i**n**e**t**i**c*</sub>.
+*ν*<sub>*kinetic*</sub>
+\[m<sup>2</sup>⋅s<sup>−1</sup>\], *related to the dynamic
+coefficient by* *ν* = 𝜚*ν*<sub>*kinetic*</sub>.
 
 In the call of `viscosityCoeffUser()` the function arguments are the
 superblock pointer `g` and the array pointer `vis` of type `double***`
@@ -1354,7 +1354,7 @@ coefficient parallel and perpendicular to the magnetic field,
 respectively, and **B̂** = **B**/\|**B**\| is the unit vector in the
 direction of the magnetic field. *κ*<sub>∥</sub> and *κ*<sub>⊥</sub> are
 measured in units
-`J` ⋅ `K`<sup> − 1</sup> ⋅ `m`<sup> − 1</sup> ⋅ `s`<sup> − 1</sup>.
+J⋅K<sup>−1</sup>⋅m<sup>−1</sup>⋅s<sup>−1</sup>.
 
 In the call of `conductionCoeffUser()` the function arguments are the
 superblock pointer `g` and the array pointers `cond`, `cond_perp` of
@@ -1382,7 +1382,7 @@ evaluated at cell-centroid coordinates
 with forced isotropy (when `COND_FORCE_ISO`=`YES` in `nirvanaUser.h`)
 only the `cond`-array has to be assigned with `cond` representing the
 conduction coefficient *κ* in the isotropic heat flux
-**F**<sub>*C*</sub> =  − *κ*∇*T*.
+**F**<sub>*C*</sub> = −*κ*∇*T*.
 
 User-defined thermal conduction is enabled by appropriate choice in the
 parameter interface `nirvana.par` under the category
@@ -1395,7 +1395,7 @@ field contribution given by
 
 **E**<sub>*D*</sub> =  − *η*<sub>*D*</sub>∇ × **B**
 
-where *η*<sub>*D*</sub> \[`m`<sup>2</sup> ⋅ `s`<sup> − 1</sup>\] is the
+where *η*<sub>*D*</sub> \[m<sup>2</sup>⋅s<sup>−1</sup>\] is the
 diffusion coefficient.
 
 In the call of `diffusionCoeffUser()` function arguments are the
@@ -1433,11 +1433,11 @@ by
 **E**<sub>*AD*</sub> = *η*<sub>*AD*</sub>/*μ*\[(∇×**B**)×**B**\] × **B**
 
 where *η*<sub>*AD*</sub>
-\[`V` ⋅ `m` ⋅ `A`<sup> − 1</sup> ⋅ `T`<sup> − 2</sup>\] denotes the
+\[V⋅m⋅A<sup>−1</sup>⋅T<sup>−2</sup>\] denotes the
 ambipolar diffusion coefficient.
 
 *Note: The prefactor* *η*<sub>*AD*</sub>/*μ* *has units*
-`m`<sup>2</sup> ⋅ `s`<sup> − 1</sup> ⋅ `T`<sup> − 2</sup>.
+m<sup>2</sup>⋅s<sup>−1</sup>⋅T<sup>−2</sup>.
 
 In the call of `APdiffusionCoeffUser()` function arguments are the
 superblock pointer `g` and the array pointer `APdiff` of type
@@ -1517,7 +1517,7 @@ sum
 *L*<sub>*cool*</sub>(*T*, 𝜚) + *L*<sub>*heat*</sub>(*T*, 𝜚)
 of both functions, enters as a source term in the energy equation.
 *L*<sub>*cool*</sub> and *L*<sub>*heat*</sub> are measured
-in units *J* ⋅ *s*<sup> − 1</sup> ⋅ *m*<sup> − 3</sup>.
+in units J⋅s<sup>−1</sup>⋅m<sup>−3</sup>.
 
 In the call of `sourceCoolingUser()` (`sourceHeatingUser()`) the
 function arguments are the temperature value `T`, density value `rho`,
@@ -1529,8 +1529,8 @@ the pointer `deriv` to the derivatives flag and the 2-element vector
       f=sourceHeatingUser(T,rho,deriv,dfh);
 
 The user must define the return value
-`f` = *L*<sub>*cool*</sub>(`T``,` `rho`)
-(*L*<sub>*heat*</sub>(`T``,` `rho`)) in `sourceCoolingUser.c`
+`f` = *L*<sub>*cool*</sub>(`T`,`rho`)
+(*L*<sub>*heat*</sub>(`T`,`rho`)) in `sourceCoolingUser.c`
 (`sourceHeatingUser.c`). The `deriv`-flag is thought to indicate the
 calling function whether a user provides the derivatives of
 *L*<sub>*cool*</sub>(*T*, 𝜚) and