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	<id>https://theory.cpe.ku.ac.th/wiki/index.php?action=history&amp;feed=atom&amp;title=%E0%B8%9E%E0%B8%B9%E0%B8%94%E0%B8%84%E0%B8%B8%E0%B8%A2%3AProof_Hypercube_1</id>
	<title>พูดคุย:Proof Hypercube 1 - ประวัติรุ่นแก้ไข</title>
	<link rel="self" type="application/atom+xml" href="https://theory.cpe.ku.ac.th/wiki/index.php?action=history&amp;feed=atom&amp;title=%E0%B8%9E%E0%B8%B9%E0%B8%94%E0%B8%84%E0%B8%B8%E0%B8%A2%3AProof_Hypercube_1"/>
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	<updated>2026-05-07T22:24:50Z</updated>
	<subtitle>ประวัติรุ่นแก้ไขของหน้านี้ในวิกิ</subtitle>
	<generator>MediaWiki 1.33.1</generator>
	<entry>
		<id>https://theory.cpe.ku.ac.th/wiki/index.php?title=%E0%B8%9E%E0%B8%B9%E0%B8%94%E0%B8%84%E0%B8%B8%E0%B8%A2:Proof_Hypercube_1&amp;diff=3644&amp;oldid=prev</id>
		<title>Jittat: Reverted edit of 140.128.20.205, changed back to last version by Jung</title>
		<link rel="alternate" type="text/html" href="https://theory.cpe.ku.ac.th/wiki/index.php?title=%E0%B8%9E%E0%B8%B9%E0%B8%94%E0%B8%84%E0%B8%B8%E0%B8%A2:Proof_Hypercube_1&amp;diff=3644&amp;oldid=prev"/>
		<updated>2007-10-28T08:39:58Z</updated>

		<summary type="html">&lt;p&gt;Reverted edit of 140.128.20.205, changed back to last version by Jung&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;th&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;←รุ่นแก้ไขก่อนหน้า&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;รุ่นแก้ไขเมื่อ 08:39, 28 ตุลาคม 2550&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;แถว 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;แถว 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;trdommonrela&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;You say:&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;You say:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jittat</name></author>
		
	</entry>
	<entry>
		<id>https://theory.cpe.ku.ac.th/wiki/index.php?title=%E0%B8%9E%E0%B8%B9%E0%B8%94%E0%B8%84%E0%B8%B8%E0%B8%A2:Proof_Hypercube_1&amp;diff=3634&amp;oldid=prev</id>
		<title>140.128.20.205 เมื่อ 23:04, 27 ตุลาคม 2550</title>
		<link rel="alternate" type="text/html" href="https://theory.cpe.ku.ac.th/wiki/index.php?title=%E0%B8%9E%E0%B8%B9%E0%B8%94%E0%B8%84%E0%B8%B8%E0%B8%A2:Proof_Hypercube_1&amp;diff=3634&amp;oldid=prev"/>
		<updated>2007-10-27T23:04:01Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;th&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;←รุ่นแก้ไขก่อนหน้า&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;รุ่นแก้ไขเมื่อ 23:04, 27 ตุลาคม 2550&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;แถว 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;แถว 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;trdommonrela&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;You say:&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;You say:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>140.128.20.205</name></author>
		
	</entry>
	<entry>
		<id>https://theory.cpe.ku.ac.th/wiki/index.php?title=%E0%B8%9E%E0%B8%B9%E0%B8%94%E0%B8%84%E0%B8%B8%E0%B8%A2:Proof_Hypercube_1&amp;diff=1810&amp;oldid=prev</id>
		<title>Jung เมื่อ 05:33, 10 เมษายน 2550</title>
		<link rel="alternate" type="text/html" href="https://theory.cpe.ku.ac.th/wiki/index.php?title=%E0%B8%9E%E0%B8%B9%E0%B8%94%E0%B8%84%E0%B8%B8%E0%B8%A2:Proof_Hypercube_1&amp;diff=1810&amp;oldid=prev"/>
		<updated>2007-04-10T05:33:54Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;th&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;←รุ่นแก้ไขก่อนหน้า&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;รุ่นแก้ไขเมื่อ 05:33, 10 เมษายน 2550&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l3&quot; &gt;แถว 3:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;แถว 3:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  A more rigorous proof can also be achieved by considering other halfspaces and argue that it contains at least one of &amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;  A more rigorous proof can also be achieved by considering other halfspaces and argue that it contains at least one of &amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: Is the word &amp;#039;&amp;#039;&amp;#039;contain&amp;#039;&amp;#039;&amp;#039; ambiguous?? I can see all the points &amp;lt;math&amp;gt;x&amp;lt;/math&amp;gt; satisfying &amp;lt;math&amp;gt;x_i &amp;lt; 0.5, \forall i&amp;lt;/math&amp;gt; lie below any other halfspace. But I think none of &amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt; is &amp;#039;&amp;#039;completely&amp;#039;&amp;#039; contained in an other halfspace.&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: Is the word &amp;#039;&amp;#039;&amp;#039;contain&amp;#039;&amp;#039;&amp;#039; ambiguous?? I can see all the points &amp;lt;math&amp;gt;x&amp;lt;/math&amp;gt; satisfying &amp;lt;math&amp;gt;x_i &amp;lt; 0.5, \forall i&amp;lt;/math&amp;gt; lie below any other halfspace. But I think none of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;a hyperplane &lt;/ins&gt;&amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt; is &amp;#039;&amp;#039;completely&amp;#039;&amp;#039; contained in an other halfspace.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jung</name></author>
		
	</entry>
	<entry>
		<id>https://theory.cpe.ku.ac.th/wiki/index.php?title=%E0%B8%9E%E0%B8%B9%E0%B8%94%E0%B8%84%E0%B8%B8%E0%B8%A2:Proof_Hypercube_1&amp;diff=1808&amp;oldid=prev</id>
		<title>Jung เมื่อ 05:15, 10 เมษายน 2550</title>
		<link rel="alternate" type="text/html" href="https://theory.cpe.ku.ac.th/wiki/index.php?title=%E0%B8%9E%E0%B8%B9%E0%B8%94%E0%B8%84%E0%B8%B8%E0%B8%A2:Proof_Hypercube_1&amp;diff=1808&amp;oldid=prev"/>
		<updated>2007-04-10T05:15:45Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;th&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;←รุ่นแก้ไขก่อนหน้า&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;รุ่นแก้ไขเมื่อ 05:15, 10 เมษายน 2550&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;แถว 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;แถว 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A more rigorous proof can also be achieved by considering other halfspaces and argue that it contains at least one of &amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;You say:&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; &lt;/ins&gt;A more rigorous proof can also be achieved by considering other halfspaces and argue that it contains at least one of &amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: Is the word &amp;#039;&amp;#039;&amp;#039;contain&amp;#039;&amp;#039;&amp;#039; ambiguous?? I can see all the points &amp;lt;math&amp;gt;x&amp;lt;/math&amp;gt; satisfying &amp;lt;math&amp;gt;x_i &amp;lt; 0.5, \forall i&amp;lt;/math&amp;gt; lie below any other halfspace. But I think none of &amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt; is &amp;#039;&amp;#039;completely&amp;#039;&amp;#039; contained in an other halfspace.&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: Is the word &amp;#039;&amp;#039;&amp;#039;contain&amp;#039;&amp;#039;&amp;#039; ambiguous?? I can see all the points &amp;lt;math&amp;gt;x&amp;lt;/math&amp;gt; satisfying &amp;lt;math&amp;gt;x_i &amp;lt; 0.5, \forall i&amp;lt;/math&amp;gt; lie below any other halfspace. But I think none of &amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt; is &amp;#039;&amp;#039;completely&amp;#039;&amp;#039; contained in an other halfspace.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jung</name></author>
		
	</entry>
	<entry>
		<id>https://theory.cpe.ku.ac.th/wiki/index.php?title=%E0%B8%9E%E0%B8%B9%E0%B8%94%E0%B8%84%E0%B8%B8%E0%B8%A2:Proof_Hypercube_1&amp;diff=1807&amp;oldid=prev</id>
		<title>Jung: question...</title>
		<link rel="alternate" type="text/html" href="https://theory.cpe.ku.ac.th/wiki/index.php?title=%E0%B8%9E%E0%B8%B9%E0%B8%94%E0%B8%84%E0%B8%B8%E0%B8%A2:Proof_Hypercube_1&amp;diff=1807&amp;oldid=prev"/>
		<updated>2007-04-10T05:15:09Z</updated>

		<summary type="html">&lt;p&gt;question...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;หน้าใหม่&lt;/b&gt;&lt;/p&gt;&lt;div&gt;A more rigorous proof can also be achieved by considering other halfspaces and argue that it contains at least one of &amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
: Is the word &amp;#039;&amp;#039;&amp;#039;contain&amp;#039;&amp;#039;&amp;#039; ambiguous?? I can see all the points &amp;lt;math&amp;gt;x&amp;lt;/math&amp;gt; satisfying &amp;lt;math&amp;gt;x_i &amp;lt; 0.5, \forall i&amp;lt;/math&amp;gt; lie below any other halfspace. But I think none of &amp;lt;math&amp;gt;h_i&amp;lt;/math&amp;gt; is &amp;#039;&amp;#039;completely&amp;#039;&amp;#039; contained in an other halfspace.&lt;/div&gt;</summary>
		<author><name>Jung</name></author>
		
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