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

@@ -426,7 +426,6 @@ criteria which are
 
 -   derivatives-based (most important in practice):
 ![amr_deriv](uploads/25c608e1a335aca4242b34afb9e4ffeb/amr_deriv.png)  
-
 The criterion is applied to primary (or related) physical variables
     *U* ( = {𝜚, **m**, *e*, **B**, *C*<sub>*c*</sub>}). Undivided first
     (*δ*  *U*) and second (*δ*  <sup>2</sup>*U*) differences are
@@ -454,7 +453,7 @@ criteria which are
     flow features right in time.*
 
 -   Jeans-length-based (important in simulations involving selfgravity):
-![amr_Jeans](uploads/6f5d6baa55c30a2a3ce4c5a11cca7cb3/amr_Jeans.png)
+![amr_Jeans](uploads/911451541e1624ab997d1ecb6bae6ca3/amr_Jeans.png)
     where the first factor is the local Jeans length with
     *c*<sub>*s*</sub> the sound speed and *G* the gravitational
     constant, and where
@@ -465,12 +464,7 @@ criteria which are
 
 -   Field-length-based (potentially relevant for simulations involving a
     heatloss source but rarely used in practice):
-    $$2\\pi \\left(\\frac{\\kappa T}{\\max\\left\\{T\\left(\\frac{\\partial L}{\\partial T}\\right)\_{\\varrho}
-    -\\varrho \\left(\\frac{\\partial L}{\\partial \\varrho}\\right)\_{T},EPS\\right\\}}
-    \\right)^{1/2}\\cdot \\mathcal{E}\_\\mathrm{Field}\\left\\{\\begin{array}{ll}
-    &lt;\\delta\\,\\!s & \\mbox{refinement}\\\\
-    &gt;1.25\\delta\\,\\!s & \\mbox{derefinement}\\\\
-    \\end{array}\\right.$$
+![amr_Field](uploads/9a6e2ca5c64e5f849e12f8dc1db029f5/amr_Field.png)
     where the first factor is the Field length with *L*(𝜚, *T*) the
     density- and temperature-dependent heatloss function and *κ* the
     thermal conduction coefficient. ℰ<sub>*F**i**e**l**d*</sub> is a