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		<title>Solution 1.3:1d - Revision history</title>
		<link>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_1.3:1d&amp;action=history</link>
		<description>Revision history for this page on the wiki</description>
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			<title>Tek at 12:50, 22 September 2008</title>
			<link>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_1.3:1d&amp;diff=5352&amp;oldid=prev</link>
			<description>&lt;p&gt;&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&gt;
			&lt;col class='diff-marker' /&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;←Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 12:50, 22 September 2008&lt;/td&gt;
			&lt;/tr&gt;
		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;By using the power rules, we can rewrite the expression,&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;By using the power rules, we can rewrite the expression,&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{Displayed math||&amp;lt;math&amp;gt;\left( \frac{2}{3} \right)^{-3} = \frac{2^{-3}}{3^{-3}} = \frac{\,\dfrac{1}{2^{3}}\,}{\,\dfrac{1}{3^{3}}\,} = \frac{\,\dfrac{1}{2^{3}}\cdot 3^{3}\,}{\,\dfrac{1}{\rlap{\,/}3^{3}}\cdot {}\rlap{\,/}3^{3}\,} = \frac{\,\dfrac{3^{3}}{2^{3}}\,}{1} = \frac{3^{3}}{2^{3}}\,,&amp;lt;/math&amp;gt;}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;\left( \frac{2}{3} \right)^{-3}=\frac{2^{-3}}{3^{-3}}=\frac{\frac{1}{2^{3}}}{\frac{1}{3^{3}}}=\frac{\frac{1}{2^{3}}\centerdot 3^{3}}{\frac{1}{3^{3}}\centerdot 3^{3}}=\frac{\frac{3^{3}}{2^{3}}}{1}=\frac{3^{3}}{2^{3}}&amp;lt;/math&amp;gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;and then carry out the calculation&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;and then carry out the calculation:&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;{{Displayed math||&lt;/ins&gt;&amp;lt;math&amp;gt;\frac{3^{3}}{2^{3}} = \frac{3\&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;cdot &lt;/ins&gt;3\&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;cdot &lt;/ins&gt;3}{2\&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;cdot &lt;/ins&gt;2\&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;cdot &lt;/ins&gt;2} = \frac{27}{8}&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\,&lt;/ins&gt;&amp;lt;/math&amp;gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;.}}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;\frac{3^{3}}{2^{3}}=\frac{3\&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;centerdot &lt;/del&gt;3\&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;centerdot &lt;/del&gt;3}{2\&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;centerdot &lt;/del&gt;2\&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;centerdot &lt;/del&gt;2}=\frac{27}{8}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Mon, 22 Sep 2008 12:50:24 GMT</pubDate>			<dc:creator>Tek</dc:creator>			<comments>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php/Talk:Solution_1.3:1d</comments>		</item>
		<item>
			<title>Ian at 11:10, 15 September 2008</title>
			<link>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_1.3:1d&amp;diff=5079&amp;oldid=prev</link>
			<description>&lt;p&gt;&lt;/p&gt;

			&lt;table style=&quot;background-color: white; color:black;&quot;&gt;
			&lt;col class='diff-marker' /&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;←Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 11:10, 15 September 2008&lt;/td&gt;
			&lt;/tr&gt;
		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;NAVCONTENT_START&lt;/del&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;By using the power rules, we can rewrite the expression,&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;center&lt;/del&gt;&amp;gt; &lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;[[Image&lt;/del&gt;:&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;1_3_1d.gif]] &lt;/del&gt;&amp;lt;&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;/center&lt;/del&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;NAVCONTENT_STOP&lt;/del&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;\left( \frac&lt;/ins&gt;{&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;2}&lt;/ins&gt;{&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;3} \right)^{-3}=\frac{2^{-3}}{3^{-3}}=\frac{\frac{1}{2^{3}}}{\frac{1}{3^{3}}}=\frac{\frac{1}{2^{3}}\centerdot 3^{3}}{\frac{1}{3^{3}}\centerdot 3^{3}}=\frac{\frac{3^{3}}{2^{3}}}{1}=\frac{3^{3}}{2^{3&lt;/ins&gt;}}&amp;lt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;/math&lt;/ins&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;and then carry out the calculation&lt;/ins&gt;:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;nbsp;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;\frac&lt;/ins&gt;{&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;3^&lt;/ins&gt;{&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt;}}&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;{2^{3}}=\frac{3\centerdot 3\centerdot 3}{2\centerdot 2\centerdot 2}=\frac{27}{8}&amp;lt;/math&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</description>
			<pubDate>Mon, 15 Sep 2008 11:10:29 GMT</pubDate>			<dc:creator>Ian</dc:creator>			<comments>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php/Talk:Solution_1.3:1d</comments>		</item>
		<item>
			<title>Tekbot: Lösning 1.3:1d moved to Solution 1.3:1d: Robot: moved page</title>
			<link>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_1.3:1d&amp;diff=3024&amp;oldid=prev</link>
			<description>&lt;p&gt;&lt;a href=&quot;/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=L%C3%B6sning_1.3:1d&amp;amp;action=edit&quot; class=&quot;new&quot; title=&quot;Lösning 1.3:1d&quot;&gt;Lösning 1.3:1d&lt;/a&gt; moved to &lt;a href=&quot;/wikis/2009/bridgecourse1-ImperialCollege/index.php/Solution_1.3:1d&quot; title=&quot;Solution 1.3:1d&quot;&gt;Solution 1.3:1d&lt;/a&gt;: Robot: moved page&lt;/p&gt;

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				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;←Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 08:21, 9 September 2008&lt;/td&gt;
			&lt;/tr&gt;
		&lt;/table&gt;</description>
			<pubDate>Tue, 09 Sep 2008 08:21:43 GMT</pubDate>			<dc:creator>Tekbot</dc:creator>			<comments>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php/Talk:Solution_1.3:1d</comments>		</item>
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			<title>Tekbot: Robot: Automated text replacement  (-[[Bild: +[[Image:)</title>
			<link>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_1.3:1d&amp;diff=2174&amp;oldid=prev</link>
			<description>&lt;p&gt;Robot: Automated text replacement  (-[[Bild: +[[Image:)&lt;/p&gt;

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				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;←Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 06:27, 21 August 2008&lt;/td&gt;
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		&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
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&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{NAVCONTENT_START}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{NAVCONTENT_START}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;-&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;center&amp;gt; [[&lt;del style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;Bild&lt;/del&gt;:1_3_1d.gif]] &amp;lt;/center&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;center&amp;gt; [[&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;Image&lt;/ins&gt;:1_3_1d.gif]] &amp;lt;/center&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{NAVCONTENT_STOP}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;{{NAVCONTENT_STOP}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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			<pubDate>Thu, 21 Aug 2008 06:27:59 GMT</pubDate>			<dc:creator>Tekbot</dc:creator>			<comments>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php/Talk:Solution_1.3:1d</comments>		</item>
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			<title>Lina: Ny sida: {{NAVCONTENT_START}} &lt;center&gt; Bild:1_3_1d.gif &lt;/center&gt; {{NAVCONTENT_STOP}}</title>
			<link>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Solution_1.3:1d&amp;diff=382&amp;oldid=prev</link>
			<description>&lt;p&gt;Ny sida: {{NAVCONTENT_START}} &amp;lt;center&amp;gt; &lt;a href=&quot;/wikis/2009/bridgecourse1-ImperialCollege/index.php?title=Bild:1_3_1d.gif&amp;amp;action=edit&quot; class=&quot;new&quot; title=&quot;Bild:1 3 1d.gif&quot;&gt;Bild:1_3_1d.gif&lt;/a&gt; &amp;lt;/center&amp;gt; {{NAVCONTENT_STOP}}&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{NAVCONTENT_START}}&lt;br /&gt;
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{{NAVCONTENT_STOP}}&lt;/div&gt;</description>
			<pubDate>Wed, 26 Mar 2008 14:56:08 GMT</pubDate>			<dc:creator>Lina</dc:creator>			<comments>http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php/Talk:Solution_1.3:1d</comments>		</item>
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