cleanup, fixed some math

1 files changed, 9 insertions, 6 deletions

diff --git a/physics/special relativity b/physics/special relativity
index 41bf4b8..37fd3e9 100644
--- a/physics/special relativity
+++ b/physics/special relativity
@@ -8,7 +8,7 @@ Special Relativity
 .. note:: Most of this content is based on a 2002 Caltech course taught by
     Kip Thorn [PH237]_
 
-*See also `physics/general relativity</k/physics/generalrelativity/>`_*
+*See also `physics/general relativity</k/physics/generalrelativity/>`__*
 
 As opposed to general relativity, special relativity takes place in a *flat*
 Minkowski space time: a 4-space with three spatial dimensions and one time
@@ -17,22 +17,25 @@ dimension.
 +----------------+--------------------+
 | Index notation | Variable | Type    |
 +----------------+--------------------+
-| `$x^\0`:m:     | `$t$`:m: | Time    |
-| `$x^\1`:m:     | `$x$`:m: | Spatial |
-| `$x^\2`:m:     | `$y$`:m: | Spatial |
-| `$x^\3`:m:     | `$z$`:m: | Spatial |
+| `$x^0$`:m:     | `$t$`:m: | Time    |
+| `$x^1$`:m:     | `$x$`:m: | Spatial |
+| `$x^2$`:m:     | `$y$`:m: | Spatial |
+| `$x^3$`:m:     | `$z$`:m: | Spatial |
 +----------------+--------------------+
 
 Separations
 -------------
 
-The separation `$(\Delta s)^2`:m: between two events in space time, in a given
+The separation `$(\Delta s)^2$`:m: between two events in space time, in a given
 Lorentzian/inertial frame, is defined
 as:
 
 :m:`$$ (\Delta s)^2 \equiv -(\Delta t)^2 + (\Delta x)^2 + (\Delta y)^2 + (\Delta z)^2 $$`
+
 or
+
 :m:`$$ (\Delta s)^2 \equiv -(\Delta x^0)^2 + \sum_{i,j} \delta_{ij} \Delta x^i \Delta x^j$$`
+
 where :m:`$\delta_{ij}$` is the Kronecker delta (unity or 1 when 
 :m:`$i=j$`; zero otherwise), and the indices i and j are over the spatial
 dimensions 1,2,3 (corresponding to x,y,z). It can be shown that this separation