Changeset 4514

Timestamp:

Jul 7, 2005, 5:59:17 PM (21 years ago)

Author:

Paul Price

Message:

Getting rid of extraneous equation numbers.

File:

• trunk/doc/pslib/psLibADD.tex (modified) (9 diffs)

trunk/doc/pslib/psLibADD.tex

@@ -1 @@
-%%% $Id: psLibADD.tex,v 1.78 2005-07-08 03:58:24 price Exp $
+%%% $Id: psLibADD.tex,v 1.79 2005-07-08 03:59:17 price Exp $
 \documentclass[panstarrs]{panstarrs}
 
@@ -1516 +1516 @@
 p_0 & = & \cos \delta \cos \alpha \\
 p_1 & = & \cos \delta \sin \alpha \\
-p_2 & = & \sin \delta \\
+p_2 & = & \sin \delta
 \end{eqnarray}
 and we set the scalar value to zero, $p_3 = 0$.
@@ -1524 +1524 @@
 \begin{eqnarray}
 \phi & = & \arctan(p_1, p_0) \\
-\theta & = & \arcsin(p_2) \\
+\theta & = & \arcsin(p_2)
 \end{eqnarray}
 where $\phi$ is the longitude and $\theta$ is the latitude.  Note that
@@ -1538 +1538 @@
 r_1 & = & v_y \sin(\theta/2) \\
 r_2 & = & v_z \sin(\theta/2) \\
-r_3 & = & \cos(\theta/2) \\
+r_3 & = & \cos(\theta/2)
 \end{eqnarray}
 Note that the sine and cosine are taken of the half-angle of the
@@ -1554 +1554 @@
 p_1 & = & -b_2 a_0 + b_3 a_1 + b_0 a_2 + b_1 a_3 \\
 p_2 & = &  b_1 a_0 - b_0 a_1 + b_3 a_2 + b_2 a_3 \\
-p_3 & = & -b_0 a_0 - b_1 a_1 - b_2 a_2 + b_3 a_3 \\
+p_3 & = & -b_0 a_0 - b_1 a_1 - b_2 a_2 + b_3 a_3
 \end{eqnarray}
 
@@ -1593 +1593 @@
 r_1 & = & 0 \\
 r_2 & = & \sin(\alpha_p/2) \\
-r_3 & = & \cos(\alpha_p/2) \\
+r_3 & = & \cos(\alpha_p/2)
 \end{eqnarray}
 \item Second, about the Y axis:
@@ -1600 +1600 @@
 s_1 & = & \sin(\delta_p/2) \\
 s_2 & = & 0 \\
-s_3 & = & \cos(\delta_p/2) \\
+s_3 & = & \cos(\delta_p/2)
 \end{eqnarray}
 \item Finally, about the Z axis again:
@@ -1607 +1607 @@
 t_1 & = & 0 \\
 t_2 & = & \sin(\phi_p/2) \\
-t_3 & = & \cos(\phi_p/2) \\
+t_3 & = & \cos(\phi_p/2)
 \end{eqnarray}
 \end{itemize}
@@ -1630 +1630 @@
     rot_{z,x} & = & 2 (q_0 q_2 + q_1 q_3) \\
     rot_{y,z} & = & 2 (q_1 q_2 + q_0 q_3) \\
-    rot_{z,y} & = & 2 (q_1 q_2 - q_0 q_3) \\
+    rot_{z,y} & = & 2 (q_1 q_2 - q_0 q_3)
 \end{eqnarray}