Issue #56

Enhancement: Replaced some words in the figure descriptions

doc/chap_examples.rst

@@ -718,87 +718,87 @@ Here :math:`u_3, u_4` --- fictitious variables for right size,
 
 
 Now compute the solvability set of the linear system
-and taking its projection onto :math:`(z_1, z_2)` subspace.
+and taking its projection onto different subspaces.
 
 
 .. figure:: /pic/chapter06_section07_pic1.png
    :width: 100 %
 
-   Figure shows solvability set projection onto (:math:`z_3, z_4`) of system
-   ( evolves in time from t=0 to t=5, end position is
+   Figure shows solvability tube projection onto (:math:`z_3, z_4`) of system
+   ( evolves in time from t=0 to t=5, final position is
    :math:`z_1=0, z_2=0,z_3=0,z_4=0`)
 
 
 .. figure:: /pic/chapter06_section07_pic2.png
    :width: 100 %
 
-   Figure shows solvability set projection onto (:math:`z_1, z_2`) of system
-   ( evolves in time from t=0 to t=5, end position is
+   Figure shows solvability tube projection onto (:math:`z_1, z_2`) of system
+   ( evolves in time from t=0 to t=5, final position is
    :math:`z_1=0, z_2=0,z_3=0,z_4=0`)
 
 
 .. figure:: /pic/chapter06_section07_pic3.png
    :width: 100 %
 
-   Figure shows solvability set projection onto (:math:`z_1, z_3`) of system
-   ( evolves in time from t=0 to t=5, end position is
+   Figure shows solvability tube projection onto (:math:`z_1, z_3`) of system
+   ( evolves in time from t=0 to t=5, final position is
    :math:`z_1=0, z_2=0,z_3=0,z_4=0`)
 
 
 .. figure:: /pic/chapter06_section07_pic4.png
    :width: 100 %
 
-   Figure shows solvability set projection onto (:math:`z_2, z_4`) of system
-   ( evolves in time from t=0 to t=5, end position is
-	:math:`z_1=0, z_2=0,z_3=0,z_4=0`)
+   Figure shows solvability tube projection onto (:math:`z_2, z_4`) of system
+   ( evolves in time from t=0 to t=5, final position is
+   :math:`z_1=0, z_2=0,z_3=0,z_4=0`)
 
 
 .. figure:: /pic/chapter06_section07_pic5.png
    :width: 100 %
 
-   Figure shows solvability set projection onto (:math:`z_3, z_4`) of system
-   ( evolves in time from t=0 to t=5, end position is
+   Figure shows solvability tube projection onto (:math:`z_3, z_4`) of system
+   ( evolves in time from t=0 to t=5, final position is
    :math:`z_1=\frac{\pi}{8}, z_2=\frac{\pi}{8}, z_3=0, z_4=0`)
 
 
 .. figure:: /pic/chapter06_section07_pic6.png
    :width: 100 %
 
-   Figure shows solvability set projection onto (:math:`z_1, z_2`) of system
-   ( evolves in time from t=0 to t=5, end position is
+   Figure shows solvability tube projection onto (:math:`z_1, z_2`) of system
+   ( evolves in time from t=0 to t=5, final position is
    :math:`z_1=\frac{\pi}{8}, z_2=\frac{\pi}{8}, z_3=0, z_4=0`)
 
 
 .. figure:: /pic/chapter06_section07_pic7.png
    :width: 100 %
 
-   Figure shows solvability set projection onto (:math:`z_1, z_3`) of system
-   ( evolves in time from t=0 to t=5, end position is
+   Figure shows solvability tube projection onto (:math:`z_1, z_3`) of system
+   ( evolves in time from t=0 to t=5, final position is
    :math:`z_1=\frac{\pi}{8}, z_2=\frac{\pi}{8}, z_3=0, z_4=0`)
 
 
 .. figure:: /pic/chapter06_section07_pic8.png
    :width: 100 %
 
-   Figure shows solvability set projection onto (:math:`z_2, z_4`) of system
-   ( evolves in time from t=0 to t=5, end position is
+   Figure shows solvability tube projection onto (:math:`z_2, z_4`) of system
+   ( evolves in time from t=0 to t=5, final position is
    :math:`z_1=\frac{\pi}{8}, z_2=\frac{\pi}{8}, z_3=0, z_4=0`)
 
 
 .. figure:: /pic/chapter06_section07_pic9.png
    :width: 100 %
 
    Now set control restrictions on :math:`\alpha_1 = 10, \alpha_2 = 10`.
-   Figure shows solvability set projection onto (:math:`z_1, z_2`) of system
-   ( evolves in time from t=0 to t=5, end position is
+   Figure shows solvability tube projection onto (:math:`z_1, z_2`) of system
+   ( evolves in time from t=0 to t=5, final position is
    :math:`z_1=\frac{\pi}{8}, z_2=\frac{\pi}{8}, z_3=0, z_4=0`)
 
 
 .. figure:: /pic/chapter06_section07_pic10.png
    :width: 100 %
 
-   Figure shows solvability set projection onto (:math:`z_3, z_4`) of system
-   ( evolves in time from t=0 to t=5, end position is
+   Figure shows solvability tube projection onto (:math:`z_3, z_4`) of system
+   ( evolves in time from t=0 to t=5, final position is
    :math:`z_1=\frac{\pi}{8}, z_2=\frac{\pi}{8}, z_3=0, z_4=0`, control limits:
    :math:`\alpha_1 = 10, \alpha_2 = 10`)