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		<id>http://helmut.knaust.info/mediawiki/index.php?action=history&amp;feed=atom&amp;title=CRN_29368</id>
		<title>CRN 29368 - Revision history</title>
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		<updated>2026-05-01T15:09:07Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4153&amp;oldid=prev</id>
		<title>HelmutKnaust: /* Homework */</title>
		<link rel="alternate" type="text/html" href="http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4153&amp;oldid=prev"/>
				<updated>2022-04-19T23:01:54Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Homework&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
			&lt;tr valign='top'&gt;
			&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 23:01, 19 April 2022&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 69:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 69:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;#p.344: 8.28, 8.48, 8.53&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;#p.344: 8.28, 8.48, 8.53&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;#p.65: 2.47, 2.63, 2.64a&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;#p.65: 2.47, 2.63, 2.64a&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;#p.196: 5.1abc&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;, 5.8abc &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;#p.196: 5.1abc&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;p&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;p&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;'''Assignments:'''&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;'''Assignments:'''&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>HelmutKnaust</name></author>	</entry>

	<entry>
		<id>http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4152&amp;oldid=prev</id>
		<title>HelmutKnaust: /* Final Project */</title>
		<link rel="alternate" type="text/html" href="http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4152&amp;oldid=prev"/>
				<updated>2022-04-19T03:43:19Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Final Project&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
			&lt;tr valign='top'&gt;
			&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 03:43, 19 April 2022&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 55:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 55:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;===[http://helmut.knaust.info/class/202220_5311/NB/ ''Mathematica'' Notebooks]===&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;===[http://helmut.knaust.info/class/202220_5311/NB/ ''Mathematica'' Notebooks]===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&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;&amp;#160;&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;==[http://helmut.knaust.info/class/202220_5311/202220_FinalProject Final &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Project&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;==[http://helmut.knaust.info/class/202220_5311/202220_FinalProject&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;.nb &lt;/ins&gt;Final &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Projects&lt;/ins&gt;]==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&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;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;==Projects==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;==Projects==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;*[http://helmut.knaust.info/class/202110_5311/Project01.nb Project 1], due February 8.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;*[http://helmut.knaust.info/class/202110_5311/Project01.nb Project 1], due February 8.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>HelmutKnaust</name></author>	</entry>

	<entry>
		<id>http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4151&amp;oldid=prev</id>
		<title>HelmutKnaust: /* Projects */</title>
		<link rel="alternate" type="text/html" href="http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4151&amp;oldid=prev"/>
				<updated>2022-04-19T03:42:28Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Projects&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
			&lt;tr valign='top'&gt;
			&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 03:42, 19 April 2022&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 55:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 55:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;===[http://helmut.knaust.info/class/202220_5311/NB/ ''Mathematica'' Notebooks]===&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;===[http://helmut.knaust.info/class/202220_5311/NB/ ''Mathematica'' Notebooks]===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&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;&amp;#160;&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;#160;&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;==[http://helmut.knaust.info/class/202220_5311/202220_FinalProject Final Project]==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;==Projects==&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;==Projects==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;*[http://helmut.knaust.info/class/202110_5311/Project01.nb Project 1], due February 8.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;*[http://helmut.knaust.info/class/202110_5311/Project01.nb Project 1], due February 8.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>HelmutKnaust</name></author>	</entry>

	<entry>
		<id>http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4146&amp;oldid=prev</id>
		<title>HelmutKnaust: /* Homework */</title>
		<link rel="alternate" type="text/html" href="http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4146&amp;oldid=prev"/>
				<updated>2022-04-14T19:25:24Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Homework&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
			&lt;tr valign='top'&gt;
			&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 19:25, 14 April 2022&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 65:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 65:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;#p.88: 3.7&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;#p.88: 3.7&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;#Show that&amp;#160; &amp;lt;math&amp;gt;c_{-k} e^{-ikt}+c_{k} e^{ikt}&amp;lt;/math&amp;gt; is real when f is a real valued function.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;#Show that&amp;#160; &amp;lt;math&amp;gt;c_{-k} e^{-ikt}+c_{k} e^{ikt}&amp;lt;/math&amp;gt; is real when f is a real valued function.&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;#p.344: 8.28&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;, 8.46&lt;/del&gt;, 8.48, 8.53&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;#p.344: 8.28, 8.48, 8.53&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;#p.65: 2.47, 2.63, 2.64a&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;#p.65: 2.47, 2.63, 2.64a&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;#p.196: 5.1abc, 5.8abc &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;#p.196: 5.1abc, 5.8abc &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>HelmutKnaust</name></author>	</entry>

	<entry>
		<id>http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4144&amp;oldid=prev</id>
		<title>HelmutKnaust: /* Homework */</title>
		<link rel="alternate" type="text/html" href="http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4144&amp;oldid=prev"/>
				<updated>2022-04-14T17:38:32Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Homework&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
			&lt;tr valign='top'&gt;
			&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 17:38, 14 April 2022&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 63:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 63:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;===Homework===&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;===Homework===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;'''Open problems:'''&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;'''Open problems:'''&amp;lt;br&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: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;# p.88: 3.7&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;#p.88: 3.7&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;#Show that&amp;#160; &amp;lt;math&amp;gt;c_{-k} e^{-ikt}+c_{k} e^{ikt}&amp;lt;/math&amp;gt; is real when f is a real valued function.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;#Show that&amp;#160; &amp;lt;math&amp;gt;c_{-k} e^{-ikt}+c_{k} e^{ikt}&amp;lt;/math&amp;gt; is real when f is a real valued function.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;#p.344: 8.28, 8.46, 8.48, 8.53&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;#p.344: 8.28, 8.46, 8.48, 8.53&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;# p.65: 2.47, 2.63, 2.64a&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;#p.65: 2.47, 2.63, 2.64a&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&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 class=&quot;diffchange diffchange-inline&quot;&gt;#p.196: 5.1abc, 5.8abc &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;p&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;p&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;'''Assignments:'''&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;'''Assignments:'''&amp;lt;br&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: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* p.196: 5.1abc, 5.8abc&lt;del class=&quot;diffchange diffchange-inline&quot;&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;* p.196: 5.1abc, 5.8abc &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* p.65: 2.47, 2.51, 2.57, 2.59, 2.63, 2.64a&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* p.65: 2.47, 2.51, 2.57, 2.59, 2.63, 2.64a&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* p.345: 8.46, 8.48, 8.53&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* p.345: 8.46, 8.48, 8.53&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>HelmutKnaust</name></author>	</entry>

	<entry>
		<id>http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4143&amp;oldid=prev</id>
		<title>HelmutKnaust: /* Homework */</title>
		<link rel="alternate" type="text/html" href="http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4143&amp;oldid=prev"/>
				<updated>2022-04-14T17:37:54Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Homework&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
			&lt;tr valign='top'&gt;
			&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 17:37, 14 April 2022&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 69:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 69:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;p&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;p&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;'''Assignments:'''&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;'''Assignments:'''&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&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;* p.196: 5.1abc, 5.8abc, &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* p.65: 2.47, 2.51, 2.57, 2.59, 2.63, 2.64a&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* p.65: 2.47, 2.51, 2.57, 2.59, 2.63, 2.64a&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* p.345: 8.46, 8.48, 8.53&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;* p.345: 8.46, 8.48, 8.53&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>HelmutKnaust</name></author>	</entry>

	<entry>
		<id>http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4142&amp;oldid=prev</id>
		<title>HelmutKnaust: /* Homework */</title>
		<link rel="alternate" type="text/html" href="http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4142&amp;oldid=prev"/>
				<updated>2022-04-14T17:32:35Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Homework&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
			&lt;tr valign='top'&gt;
			&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 17:32, 14 April 2022&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 65:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 65:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;# p.88: 3.7&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;# p.88: 3.7&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;#Show that&amp;#160; &amp;lt;math&amp;gt;c_{-k} e^{-ikt}+c_{k} e^{ikt}&amp;lt;/math&amp;gt; is real when f is a real valued function.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;#Show that&amp;#160; &amp;lt;math&amp;gt;c_{-k} e^{-ikt}+c_{k} e^{ikt}&amp;lt;/math&amp;gt; is real when f is a real valued function.&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;#p.344: 8.28&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;, 8.35abc&lt;/del&gt;, 8.46, 8.48, 8.53&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;#p.344: 8.28, 8.46, 8.48, 8.53&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 class=&quot;diffchange diffchange-inline&quot;&gt;# Exercise 5,6,7 from the handout&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;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;# p.65: 2.47, 2.63, 2.64a&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;# p.65: 2.47, 2.63, 2.64a&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;p&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;p&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>HelmutKnaust</name></author>	</entry>

	<entry>
		<id>http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4140&amp;oldid=prev</id>
		<title>HelmutKnaust: /* Materials */</title>
		<link rel="alternate" type="text/html" href="http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4140&amp;oldid=prev"/>
				<updated>2022-04-09T21:01:19Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Materials&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
			&lt;tr valign='top'&gt;
			&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 21:01, 9 April 2022&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 87:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 87:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&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;&amp;#160;&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;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;===Materials===&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;===Materials===&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;*[http://helmut.knaust.info/class/202220_5311/D4.pdf Computation of the Daubechies-4 Coefficients] |&amp;#160; Multi-Resolution Analysis for the Haar Wavelet] | David A. Huffman. [http://compression.ru/download/articles/huff/huffman_1952_minimum-redundancy-codes.pdf&amp;#160;  ''A Method for the Construction of Minimum-Redundancy Codes.''] Proceedings of the I.R.E., September 1952, pp. 1098–1101. | [http://helmut.knaust.info/class/201810_5311/ShETh.pdf Towards Shannon's Entropy Theorem]&amp;#160; | [http://helmut.knaust.info/class/201310_5311/Images.zip Photo set] | [http://helmut.knaust.info/class/201810_5311/Reformat_cells.pdf&amp;#160; How to display matrices the &amp;quot;right&amp;quot; way] | [http://helmut.knaust.info/presentations/2009/20091016_DWT/DWT.pdf Introduction]&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;*[http://helmut.knaust.info/class/202220_5311/D4.pdf Computation of the Daubechies-4 Coefficients] | &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; [http://helmut.knaust.info/class/202220_5311/MRA/MRA.pdf &lt;/ins&gt; Multi-Resolution Analysis for the Haar Wavelet] | David A. Huffman. [http://compression.ru/download/articles/huff/huffman_1952_minimum-redundancy-codes.pdf&amp;#160;  ''A Method for the Construction of Minimum-Redundancy Codes.''] Proceedings of the I.R.E., September 1952, pp. 1098–1101. | [http://helmut.knaust.info/class/201810_5311/ShETh.pdf Towards Shannon's Entropy Theorem]&amp;#160; | [http://helmut.knaust.info/class/201310_5311/Images.zip Photo set] | [http://helmut.knaust.info/class/201810_5311/Reformat_cells.pdf&amp;#160; How to display matrices the &amp;quot;right&amp;quot; way] | [http://helmut.knaust.info/presentations/2009/20091016_DWT/DWT.pdf Introduction]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&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;&amp;#160;&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;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;===[[DWT-References|Reference Material]]===&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;===[[DWT-References|Reference Material]]===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>HelmutKnaust</name></author>	</entry>

	<entry>
		<id>http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4138&amp;oldid=prev</id>
		<title>HelmutKnaust: /* Videos */</title>
		<link rel="alternate" type="text/html" href="http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4138&amp;oldid=prev"/>
				<updated>2022-04-07T20:20:23Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Videos&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
			&lt;tr valign='top'&gt;
			&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 20:20, 7 April 2022&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 88:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 88:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;===Materials===&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;===Materials===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;*[http://helmut.knaust.info/class/202220_5311/D4.pdf Computation of the Daubechies-4 Coefficients] |&amp;#160; Multi-Resolution Analysis for the Haar Wavelet] | David A. Huffman. [http://compression.ru/download/articles/huff/huffman_1952_minimum-redundancy-codes.pdf&amp;#160;  ''A Method for the Construction of Minimum-Redundancy Codes.''] Proceedings of the I.R.E., September 1952, pp. 1098–1101. | [http://helmut.knaust.info/class/201810_5311/ShETh.pdf Towards Shannon's Entropy Theorem]&amp;#160; | [http://helmut.knaust.info/class/201310_5311/Images.zip Photo set] | [http://helmut.knaust.info/class/201810_5311/Reformat_cells.pdf&amp;#160; How to display matrices the &amp;quot;right&amp;quot; way] | [http://helmut.knaust.info/presentations/2009/20091016_DWT/DWT.pdf Introduction]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;*[http://helmut.knaust.info/class/202220_5311/D4.pdf Computation of the Daubechies-4 Coefficients] |&amp;#160; Multi-Resolution Analysis for the Haar Wavelet] | David A. Huffman. [http://compression.ru/download/articles/huff/huffman_1952_minimum-redundancy-codes.pdf&amp;#160;  ''A Method for the Construction of Minimum-Redundancy Codes.''] Proceedings of the I.R.E., September 1952, pp. 1098–1101. | [http://helmut.knaust.info/class/201810_5311/ShETh.pdf Towards Shannon's Entropy Theorem]&amp;#160; | [http://helmut.knaust.info/class/201310_5311/Images.zip Photo set] | [http://helmut.knaust.info/class/201810_5311/Reformat_cells.pdf&amp;#160; How to display matrices the &amp;quot;right&amp;quot; way] | [http://helmut.knaust.info/presentations/2009/20091016_DWT/DWT.pdf Introduction]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&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;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&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;===[[DWT-References|Reference Material]]===&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&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;&amp;#160;&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;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;===[[202220_5311 Videos|Videos]]===&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;===[[202220_5311 Videos|Videos]]===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>HelmutKnaust</name></author>	</entry>

	<entry>
		<id>http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4137&amp;oldid=prev</id>
		<title>HelmutKnaust: /* Materials */</title>
		<link rel="alternate" type="text/html" href="http://helmut.knaust.info/mediawiki/index.php?title=CRN_29368&amp;diff=4137&amp;oldid=prev"/>
				<updated>2022-04-07T20:17:47Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Materials&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&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 20:17, 7 April 2022&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 87:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 87:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&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;&amp;#160;&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;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;===Materials===&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;===Materials===&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;*[http://helmut.knaust.info/class/202220_5311/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;MRA/MRA&lt;/del&gt;.pdf&amp;#160; Multi-Resolution Analysis for the Haar Wavelet] | David A. Huffman. [http://compression.ru/download/articles/huff/huffman_1952_minimum-redundancy-codes.pdf&amp;#160;  ''A Method for the Construction of Minimum-Redundancy Codes.''] Proceedings of the I.R.E., September 1952, pp. 1098–1101. | [http://helmut.knaust.info/class/201810_5311/ShETh.pdf Towards Shannon's Entropy Theorem]&amp;#160; | [http://helmut.knaust.info/class/201310_5311/Images.zip Photo set] | [http://helmut.knaust.info/class/201810_5311/Reformat_cells.pdf&amp;#160; How to display matrices the &amp;quot;right&amp;quot; way] | [http://helmut.knaust.info/presentations/2009/20091016_DWT/DWT.pdf Introduction]&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;*[http://helmut.knaust.info/class/202220_5311/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;D4&lt;/ins&gt;.pdf &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Computation of the Daubechies-4 Coefficients] | &lt;/ins&gt; Multi-Resolution Analysis for the Haar Wavelet] | David A. Huffman. [http://compression.ru/download/articles/huff/huffman_1952_minimum-redundancy-codes.pdf&amp;#160;  ''A Method for the Construction of Minimum-Redundancy Codes.''] Proceedings of the I.R.E., September 1952, pp. 1098–1101. | [http://helmut.knaust.info/class/201810_5311/ShETh.pdf Towards Shannon's Entropy Theorem]&amp;#160; | [http://helmut.knaust.info/class/201310_5311/Images.zip Photo set] | [http://helmut.knaust.info/class/201810_5311/Reformat_cells.pdf&amp;#160; How to display matrices the &amp;quot;right&amp;quot; way] | [http://helmut.knaust.info/presentations/2009/20091016_DWT/DWT.pdf Introduction]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&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;&amp;#160;&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;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;===[[202220_5311 Videos|Videos]]===&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;===[[202220_5311 Videos|Videos]]===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>HelmutKnaust</name></author>	</entry>

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