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	<title>Equivalence relation - Revision history</title>
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	<updated>2026-05-30T10:49:24Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://en.formulasearchengine.com/index.php?title=Equivalence_relation&amp;diff=219319&amp;oldid=prev</id>
		<title>en&gt;Rschwieb: /* Relations that are not equivalences */ Disagree with the flavor of this example: it is a matter of definition. In fact many geometry texts _do_ encourage using a definition that allows equivalence classes of parallel lines.</title>
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		<updated>2014-12-12T13:28:02Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Relations that are not equivalences: &lt;/span&gt; Disagree with the flavor of this example: it is a matter of definition. In fact many geometry texts _do_ encourage using a definition that allows equivalence classes of parallel lines.&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:28, 12 December 2014&lt;/td&gt;
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&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;A continuing concern for many organizations &lt;/del&gt;is &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;discovering innovative methods &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;keep their name at &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;forefront of their clients heads&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Locating &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;unique way &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;market your business &lt;/del&gt;will keep &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;your web visitors talking about you for years ahead&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;If your business features &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;team &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;people &lt;/del&gt;that &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;spend a good deal &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;time in &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;field along with your customer base&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;why not think about produced cooler bags&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;developed &lt;/del&gt;by &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;MyLogoImprinted.com? 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Browsing To [https://www.agryd.com/blog/1658688/free-on-line-company-provides-are-they-&lt;/del&gt;a&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-scam-&lt;/del&gt;or&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-an-opportunity&lt;/del&gt;/ &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Free On-Line Company Provides - Are They A Scam Or An Opportunity? � Indian Social Ne] perhaps provides suggestions you can use with your father. 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You may or &lt;/ins&gt;will &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;not be aware that any computer owner should know which there are certain aspects which the computer requires to &lt;/ins&gt;keep &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the greatest performance&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The sad truth is the fact that &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;lot &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;individuals who own a program have no idea which it requires routine repair just like their cars.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;We all know &lt;/ins&gt;that &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the registry is the important component &lt;/ins&gt;of the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Windows running system because it stores all information regarding the Dll files&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;programs found on the computer and system settings. However&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;as days &lt;/ins&gt;by&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, it&#039;s unavoidable that you may encounter registry issue due to a huge amount &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;invalid&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;useless &lt;/ins&gt;and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;unwelcome entries.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;Perfect Optimizer also offers to remove junk files plus is fully Windows Vista compatible. Most registry product merely don&#039;t have the time plus funds to analysis Windows Vista errors&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Because best optimizer has &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;large customer base, they do have &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;time, money plus factors &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;help fully help Windows Vista&lt;/ins&gt;.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;There is many factors why a computer may lose speed. Normal computer employ&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;like surfing &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Internet &lt;/ins&gt;may &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;get &lt;/ins&gt;the running &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;system inside a condition where it has no choice but &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;slow down&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The continual entering &lt;/ins&gt;and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;deleting of temporary files that occur when you surf the Web leave &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;registries with thousands &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;false indicators inside the running system&#039;&lt;/ins&gt;s &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;registry.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;To fix the issue that is caused by registry error&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;we should use &lt;/ins&gt;a [http://&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;bestregistrycleanerfix&lt;/ins&gt;.com/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;regzooka regzooka&lt;/ins&gt;]. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;That is the safest plus simplest method for average PC users. However there &lt;/ins&gt;are &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;thousands of registry products available out there&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;You should discover a advantageous 1 that really can resolve your problem&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;If you use a terrible 1, we could anticipate more issues&lt;/ins&gt;.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Reinstall Windows 7 - If nothing seems &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;work, reinstall Windows 7 &lt;/ins&gt;with &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the installation disc &lt;/ins&gt;that &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;came with all &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pack&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Kindly backup or restore all &lt;/ins&gt;your &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;information &lt;/ins&gt;to a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;flash drive &lt;/ins&gt;or &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;another difficult drive&lt;/ins&gt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;CD etc&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;before operating &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;reinstallation&lt;/ins&gt;.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;In different words, if your PC has any corrupt settings inside &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;registry database, these settings may create your computer run slower and with a lot &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;errors&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;And regrettably&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;it&#039;s the case that XP is prone &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;saving numerous settings from the registry inside &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;wrong method, making them unable &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;run correctly, slowing it down and causing a lot of mistakes&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Each time you employ the PC, it has &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;read 100&#039;s of registry settings&lt;/ins&gt;... &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;plus there are usually thus many files open at once that XP gets confuse &lt;/ins&gt;and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;saves many in &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;wrong technique&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Fixing these damaged settings usually boost &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;speed of &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;system... plus to do which&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;you should look &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;use a &#039;registry cleaner&#039;&lt;/ins&gt;.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;There is a lot a advantageous registry cleaner could do for the computer. It may check for &lt;/ins&gt;and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;download updates for Windows, Java plus Adobe&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Keeping changes present is an significant part of superior computer &lt;/ins&gt;health&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. It could equally safeguard your individual plus company privacy also as &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;online protection&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>en&gt;Rschwieb</name></author>
	</entry>
	<entry>
		<id>https://en.formulasearchengine.com/index.php?title=Equivalence_relation&amp;diff=219318&amp;oldid=prev</id>
		<title>en&gt;Srnec: reword to remove &quot;loosely speaking&quot;</title>
		<link rel="alternate" type="text/html" href="https://en.formulasearchengine.com/index.php?title=Equivalence_relation&amp;diff=219318&amp;oldid=prev"/>
		<updated>2014-02-20T00:31:41Z</updated>

		<summary type="html">&lt;p&gt;reword to remove &amp;quot;loosely speaking&amp;quot;&lt;/p&gt;
&lt;a href=&quot;https://en.formulasearchengine.com/index.php?title=Equivalence_relation&amp;amp;diff=219318&amp;amp;oldid=310&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>en&gt;Srnec</name></author>
	</entry>
	<entry>
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		<title>101.60.102.220: /* Equivalence class */</title>
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		<updated>2013-12-30T10:16:45Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Equivalence class&lt;/span&gt;&lt;/p&gt;
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		<title>en&gt;YFdyh-bot: r2.7.3) (Robot: Adding ar:علاقة تكافؤ</title>
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		<updated>2012-09-01T16:12:53Z</updated>

		<summary type="html">&lt;p&gt;r2.7.3) (Robot: Adding &lt;a href=&quot;/index.php?title=Ar:%D8%B9%D9%84%D8%A7%D9%82%D8%A9_%D8%AA%D9%83%D8%A7%D9%81%D8%A4&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Ar:علاقة تكافؤ (page does not exist)&quot;&gt;ar:علاقة تكافؤ&lt;/a&gt;&lt;/p&gt;
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