# HG changeset patch
# User Benedikt Fluhr <http://bfluhr.com>
# Date 1498096566 -7200
#      Thu Jun 22 03:56:06 2017 +0200
# Node ID 805091eade88efeb11016f1166219abcf1daa92a
# Parent  0c0495aee65cdf906cd927eda689433ae59c2fe1
Some Formulas on their own Line

diff --git a/00_03_joinTrees.md b/00_03_joinTrees.md
--- a/00_03_joinTrees.md
+++ b/00_03_joinTrees.md
@@ -302,15 +302,19 @@
 
 * **Corollary** (Triangle Inequality)**.**
 We have
-$M_{J} (\mathcal{R} \mathcal{E} f, \mathcal{R} \mathcal{E} h)
- \leq
- M_{J} (\mathcal{R} \mathcal{E} f, \mathcal{R} \mathcal{E} g) +
- M_{J} (\mathcal{R} \mathcal{E} g, \mathcal{R} \mathcal{E} h)$
+$$
+M_{J} (\mathcal{R} \mathcal{E} f, \mathcal{R} \mathcal{E} h)
+\leq
+M_{J} (\mathcal{R} \mathcal{E} f, \mathcal{R} \mathcal{E} g) +
+M_{J} (\mathcal{R} \mathcal{E} g, \mathcal{R} \mathcal{E} h)
+$$
 and
-$\mu_{J} (\mathcal{R} \mathcal{E} f, \mathcal{R} \mathcal{E} h)
- \leq
- \mu_{J} (\mathcal{R} \mathcal{E} f, \mathcal{R} \mathcal{E} g) +
- \mu_{J} (\mathcal{R} \mathcal{E} g, \mathcal{R} \mathcal{E} h)$.
+$$
+\mu_{J} (\mathcal{R} \mathcal{E} f, \mathcal{R} \mathcal{E} h)
+\leq
+\mu_{J} (\mathcal{R} \mathcal{E} f, \mathcal{R} \mathcal{E} g) +
+\mu_{J} (\mathcal{R} \mathcal{E} g, \mathcal{R} \mathcal{E} h) .
+$$
 
 Next we show that the interleaving distances provide lower
 bounds for the corresponding distances of functions
diff --git a/00_05_monoidalPosets.md b/00_05_monoidalPosets.md
--- a/00_05_monoidalPosets.md
+++ b/00_05_monoidalPosets.md
@@ -100,9 +100,13 @@
 
 * **Lemma.**
 For all $(a, b; c, d) \in \mathcal{D}$ we have
-$(\epsilon \circ \gamma \circ \delta)((a, b; c, d)) =
- \max \{-a, b, -c, d\}$
+$$
+(\epsilon \circ \gamma \circ \delta)((a, b; c, d)) =
+\max \{-a, b, -c, d\}
+$$
 and
-$(\epsilon \circ \delta)((a, b; c, d)) =
- \frac{1}{2} (\max \{-c, b\} + \max \{-a, d\})$.
+$$
+(\epsilon \circ \delta)((a, b; c, d)) =
+\frac{1}{2} (\max \{-c, b\} + \max \{-a, d\}) .
+$$
 
diff --git a/00_07_InterleavingsInDCats.md b/00_07_InterleavingsInDCats.md
--- a/00_07_InterleavingsInDCats.md
+++ b/00_07_InterleavingsInDCats.md
@@ -399,9 +399,14 @@
 
 (@triaIneq) **Corollary** (Triangle Inequality)**.**
 We have
-$M_{\mathcal{S}} (A, C) \leq M_{\mathcal{S}} (A, B) + M_{\mathcal{S}} (B, C)$
+$$
+M_{\mathcal{S}} (A, C) \leq M_{\mathcal{S}} (A, B) + M_{\mathcal{S}} (B, C)
+$$
 and
-$\mu_{\mathcal{S}} (A, C) \leq \mu_{\mathcal{S}} (A, B) + \mu_{\mathcal{S}} (B, C)$.
+$$
+\mu_{\mathcal{S}} (A, C) \leq
+\mu_{\mathcal{S}} (A, B) + \mu_{\mathcal{S}} (B, C) .
+$$
 
 ## Homomorphisms of *D*-Categories {#homomorphisms-D-cat}