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Deep-MI · Jan 17, 2025 · dc83f0f · dc83f0f
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diff --git a/dev/api/generated/lapy.diffgeo.html b/dev/api/generated/lapy.diffgeo.html
@@ -403,9 +403,9 @@
 <p>Divergence is the flux density leaving or entering a point.
 It can be measured by summing the dot product of the vector
 field with the normals to the outer faces of the 1-ring tetras
-around a vertex. Summing <span class="math notranslate nohighlight">\(&lt; tfunc , n_tria_oposite_v &gt;\)</span>,
+around a vertex. Summing &lt; tfunc , n_tria_oposite_v &gt;,
 this is the integrated divergence, you may want to multiply
-with <span class="math notranslate nohighlight">\(B^-1\)</span> to get back the function in some applications.</p>
+with <span class="math notranslate nohighlight">\(B^{-1}\)</span> to get back the function in some applications.</p>
 <dl class="field-list">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
 <dd class="field-odd"><dl>
@@ -461,7 +461,7 @@
 <dd><p>Compute integrated divergence of a 3d triangle function f (for each vertex).</p>
 <p>Divergence is the flux density leaving or entering a point.
 Note: this is the integrated divergence, you may want to multiply
-with B^-1 to get back the function in some applications</p>
+with <span class="math notranslate nohighlight">\(B^{-1}\)</span> to get back the function in some applications</p>
 <dl class="field-list">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
 <dd class="field-odd"><dl>
@@ -489,9 +489,9 @@
 <p>Divergence is the flux density leaving or entering a point.
 It can be measured by summing the dot product of the vector
 field with the normals to the outer edges of the 1-ring triangles
-around a vertex. Summing <span class="math notranslate nohighlight">\(&lt; tfunc , e_ij cross n &gt;\)</span>,
+around a vertex. Summing &lt; tfunc , e_ij cross n &gt;,
 this is the integrated divergence, you may want to multiply
-with <span class="math notranslate nohighlight">\(B^-1\)</span> to get back the function in some applications.</p>
+with <span class="math notranslate nohighlight">\(B^{-1}\)</span> to get back the function in some applications.</p>
 <dl class="field-list">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
 <dd class="field-odd"><dl>
@@ -543,10 +543,10 @@
 <dd><p>Compute gradient of a vertex function f (for each triangle).</p>
 <div class="math-wrapper docutils container">
 <div class="math notranslate nohighlight">
-\[\begin{split}grad(f) &amp;= [ (f_j - f_i) (vi-vk)' + (f_k - f_i) (vj-vi)' ] / (2 A) \\
-        &amp;= [ f_i (vk-vj)' + f_j (vi-vk)' +  f_k (vj-vi)' ] / (2 A)\end{split}\]</div>
+\[\begin{split}grad(f) &amp;= [ (f_j - f_i) (v_i-v_k)' + (f_k - f_i) (v_j-v_i)' ] / (2 A) \\
+        &amp;= [ f_i (v_k-v_j)' + f_j (v_i-v_k)' +  f_k (v_j-v_i)' ] / (2 A)\end{split}\]</div>
 </div>
-<p>for triangle (vi,vj,vk) with area A, where (.)’ is 90 degrees rotated
+<p>for triangle <span class="math notranslate nohighlight">\((v_i,v_j,v_k)\)</span> with area <span class="math notranslate nohighlight">\(A\)</span>, where (.)’ is 90 degrees rotated
 edge, which is equal to cross(n,vec).</p>
 <dl class="field-list">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>

diff --git a/dev/searchindex.js b/dev/searchindex.js
diff --git a/dev/tutorials/examples/Test_Plot.html b/dev/tutorials/examples/Test_Plot.html
diff --git a/dev/tutorials/examples/Test_Plot.ipynb b/dev/tutorials/examples/Test_Plot.ipynb
diff --git a/dev/tutorials/examples/Test_TetMesh_Geodesics.html b/dev/tutorials/examples/Test_TetMesh_Geodesics.html
diff --git a/dev/tutorials/examples/Test_TetMesh_Geodesics.ipynb b/dev/tutorials/examples/Test_TetMesh_Geodesics.ipynb
diff --git a/dev/tutorials/examples/Test_TriaMesh_Geodesics.html b/dev/tutorials/examples/Test_TriaMesh_Geodesics.html
diff --git a/dev/tutorials/examples/Test_TriaMesh_Geodesics.ipynb b/dev/tutorials/examples/Test_TriaMesh_Geodesics.ipynb