From ad4050052900ebadc28128fada679e71666d6507 Mon Sep 17 00:00:00 2001
From: alistair <alistair@topost.net>
Date: Mon, 11 Oct 2021 19:56:32 +1000
Subject: [PATCH] fix

---
 img/shear.svg | 71 ++++++++++++++++++++++-----------------------------
 notes.tex     |  5 +++-
 2 files changed, 34 insertions(+), 42 deletions(-)

diff --git a/img/shear.svg b/img/shear.svg
index 9637f02..a2a7a85 100644
--- a/img/shear.svg
+++ b/img/shear.svg
@@ -24,8 +24,8 @@
      inkscape:document-units="mm"
      showgrid="false"
      inkscape:zoom="1.5108866"
-     inkscape:cx="389.83732"
-     inkscape:cy="332.25524"
+     inkscape:cx="336.88828"
+     inkscape:cy="438.15332"
      inkscape:window-width="1600"
      inkscape:window-height="864"
      inkscape:window-x="0"
@@ -94,61 +94,28 @@
        style="fill:none;stroke:#000000;stroke-width:0.362;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
        d="m 4.6779166,134.89963 c 8.4052644,-0.57204 165.0961334,0 165.0961334,0"
        id="path1336" />
-    <text
-       xml:space="preserve"
-       style="font-size:3.88056px;line-height:161.69px;font-family:Terminus;-inkscape-font-specification:Terminus;letter-spacing:0px;word-spacing:0px;stroke-width:0.264583"
-       x="93.213364"
-       y="95.639931"
-       id="text4170"><tspan
-         sodipodi:role="line"
-         id="tspan4168"
-         style="stroke-width:0.264583"
-         x="93.213364"
-         y="95.639931">$\alpha(t)$</tspan></text>
     <text
        xml:space="preserve"
        style="font-size:3.88056px;line-height:161.69px;font-family:Terminus;-inkscape-font-specification:Terminus;letter-spacing:0px;word-spacing:0px;stroke-width:0.264583"
        x="62.619041"
-       y="140.37177"
+       y="139.54204"
        id="text8706"><tspan
          sodipodi:role="line"
          id="tspan8704"
          style="stroke-width:0.264583"
          x="62.619041"
-         y="140.37177">$A_1$</tspan></text>
+         y="139.54204">$x_1$</tspan></text>
     <text
        xml:space="preserve"
        style="font-size:3.88056px;line-height:161.69px;font-family:Terminus;-inkscape-font-specification:Terminus;letter-spacing:0px;word-spacing:0px;stroke-width:0.264583"
-       x="40.095058"
-       y="80.736183"
-       id="text14326"><tspan
-         sodipodi:role="line"
-         id="tspan14324"
-         style="stroke-width:0.264583"
-         x="40.095058"
-         y="80.736183">$A_2$</tspan></text>
-    <text
-       xml:space="preserve"
-       style="font-size:3.88056px;line-height:161.69px;font-family:Terminus;-inkscape-font-specification:Terminus;letter-spacing:0px;word-spacing:0px;stroke-width:0.264583"
-       x="116.14178"
-       y="140.78711"
+       x="158.56323"
+       y="139.54204"
        id="text19500"><tspan
          sodipodi:role="line"
          id="tspan19498"
          style="stroke-width:0.264583"
-         x="116.14178"
-         y="140.78711">$A_2$</tspan></text>
-    <text
-       xml:space="preserve"
-       style="font-size:3.88056px;line-height:161.69px;font-family:Terminus;-inkscape-font-specification:Terminus;letter-spacing:0px;word-spacing:0px;stroke-width:0.264583"
-       x="163.72813"
-       y="139.48306"
-       id="text24630"><tspan
-         sodipodi:role="line"
-         id="tspan24628"
-         style="stroke-width:0.264583"
-         x="163.72813"
-         y="139.48306">$A_1$</tspan></text>
+         x="158.56323"
+         y="139.54204">$x_1$</tspan></text>
     <path
        style="fill:#0000ff;stroke:#3d4cff;stroke-width:0.276;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none;marker-end:url(#Arrow1Mend)"
        d="M 77.155476,102.45435 H 97.126647"
@@ -164,5 +131,27 @@
          style="stroke-width:0.264583;stroke:none;stroke-opacity:1;fill:#3d4cff;fill-opacity:1"
          x="72.595154"
          y="107.88531">$\alpha(t) A_2$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:3.88056px;line-height:161.69px;font-family:Terminus;-inkscape-font-specification:Terminus;letter-spacing:0px;word-spacing:0px;stroke-width:0.264583"
+       x="114.99524"
+       y="79.161789"
+       id="text46546"><tspan
+         sodipodi:role="line"
+         id="tspan46544"
+         style="stroke-width:0.264583"
+         x="114.99524"
+         y="79.161789">$x_2$</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:3.88056px;line-height:161.69px;font-family:Terminus;-inkscape-font-specification:Terminus;letter-spacing:0px;word-spacing:0px;stroke-width:0.264583"
+       x="39.509235"
+       y="79.161789"
+       id="text46546-7"><tspan
+         sodipodi:role="line"
+         id="tspan46544-5"
+         style="stroke-width:0.264583"
+         x="39.509235"
+         y="79.161789">$x_2$</tspan></text>
   </g>
 </svg>
diff --git a/notes.tex b/notes.tex
index 7a6c219..fad79b8 100644
--- a/notes.tex
+++ b/notes.tex
@@ -2673,7 +2673,10 @@ At $t = 0$, $X(A, t= 0) = A \implies F = \mathbb I \implies J = 1$
 
 Since $J(t = 0) = 1$, $J \ne 0$ always implies $J(t) > 0$ 
 
-\begin{ex} Uniform diletion
+\week{}
+\lecture
+
+\begin{ex} Uniform dilation
 
         Motion according to $A \mapsto X(A,t) = \alpha(t) A$ where
             $\alpha(t) \ge 0, \alpha(0) = 1$.