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

@@ -1621,7 +1621,7 @@ log *T*, both as functions of the logarithm of mass density log 𝜚
 and the logarithm of thermal energy density *ε*. 
 The look-up tables for a prescribed (log 𝜚, log *ε*)-range
 are generated by cubic interpolation from user-specified data
-{(log *p*)<sub>*ij*</sub>} and ({(log *T*)<sub>*ij*</sub>})
+{(log *p*)<sub>*ij*</sub>} and {(log *T*)<sub>*ij*</sub>}
 on an rectilinear mesh {(log 𝜚)<sub>*i*</sub>} × {(log *ε*)<sub>*j*</sub>},
 *i*=0,n1-1 and *j*=0,n2-1, with n1 × n2 the number of mesh points.
 
@@ -1844,15 +1844,17 @@ An example can be found in the testproblem
 ### User-defined background magnetic field
 
 The module `sourceB0User.c` containing the function `sourceB0User()`
-serves as template for defining a background magnetic field,
-$\mathbf{B}_0$, in the context of the magnetic field splitting formalism
-(cf. [physics
-guide](https://gitlab.aip.de/ziegler/NIRVANA/-/tree/master/doc/pdf/PhysicsGuide.pdf)).
-$\mathbf{B}_0$ must be a time-independent, divergence-free potential
-field, i.e., 
-$$\partial_t\mathbf{B}_0=0$$,
-$$\nabla\!\cdot\!{\mathbf{B}_0}=0$$ and
-$$\nabla\!\times\!{\mathbf{B}_0}=0$$. 
+serves as template for defining a background magnetic field **B**<sub>0</sub>
+in the context of the magnetic field splitting formalism
+(cf. [physics guide](https://gitlab.aip.de/ziegler/NIRVANA/-/tree/master/doc/pdf/PhysicsGuide.pdf)).
+**B**<sub>0</sub> must be a time-independent, divergence-free potential field, i.e.,
+
+d**B**<sub>0</sub>/dt=0,
+
+∇⋅**B**<sub>0</sub>=0
+
+∇×**B**<sub>0</sub>=0.
+
 In the call of `sourceB0User()`
 the function arguments are the pointer to the array `B0` of magnetic
 field The function
@@ -1861,8 +1863,8 @@ field The function
 
 takes arguments `B0`, a pointer to a 3-element vector for the components
 of the magnetic field, and the spatial coordinates `x,y,z` of a point.
-The user must define the components `B0[0]`=$B0_x$, `B0[1]`=$B0_y$ and
-`B0[2]`=$B0_z$, respectively,
+The user must define the components `B0[0]`=*B*<sub>0x</sub>, 
+`B0[1]`=*B*<sub>0y</sub> and `B0[2]`=*B*<sub>0z</sub>, respectively.
 
 An example definition for a background field (a magnetic dipole field)
 can be found in testproblem `/nirvana/testproblems/MHD/problem30`.