https://en.formulasearchengine.com/index.php?action=history&feed=atom&title=Replica_trick 2026-04-22T04:34:18Z Revision history for this page on the wiki MediaWiki 1.43.0-wmf.28 https://en.formulasearchengine.com/index.php?title=Replica_trick&diff=246382&oldid=prev 2014-11-27T08:25:50Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 10:25, 27 November 2014</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div><del style="font-weight: bold; text-decoration: none;">{{Noref|date=May 2011}}</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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;"><div><ins style="font-weight: bold; text-decoration: none;">I would like to introduce myself to you</ins>, <ins style="font-weight: bold; text-decoration: none;">I am Andrew and my spouse doesn</ins>'<ins style="font-weight: bold; text-decoration: none;">t like it at all. The favorite hobby for him and his kids is to perform lacross and he would never give it up. For many years she</ins>'<ins style="font-weight: bold; text-decoration: none;">s been working as </ins>a <ins style="font-weight: bold; text-decoration: none;">journey agent</ins>. <ins style="font-weight: bold; text-decoration: none;">For </ins>a <ins style="font-weight: bold; text-decoration: none;">whilst I've been in Alaska but I will have to move </ins>in <ins style="font-weight: bold; text-decoration: none;">a yr or two.</ins>&lt;<ins style="font-weight: bold; text-decoration: none;">br</ins>&gt;&lt;<ins style="font-weight: bold; text-decoration: none;">br</ins>&gt;<ins style="font-weight: bold; text-decoration: none;">Here </ins>is <ins style="font-weight: bold; text-decoration: none;">my homepage </ins>:: <ins style="font-weight: bold; text-decoration: none;">online psychic </ins>(<ins style="font-weight: bold; text-decoration: none;">[http:/</ins>/<ins style="font-weight: bold; text-decoration: none;">www</ins>.<ins style="font-weight: bold; text-decoration: none;">seekavideo</ins>.<ins style="font-weight: bold; text-decoration: none;">com</ins>/<ins style="font-weight: bold; text-decoration: none;">playlist</ins>/<ins style="font-weight: bold; text-decoration: none;">2199</ins>/<ins style="font-weight: bold; text-decoration: none;">video</ins>/ <ins style="font-weight: bold; text-decoration: none;">http</ins>://<ins style="font-weight: bold; text-decoration: none;">www</ins>.<ins style="font-weight: bold; text-decoration: none;">seekavideo</ins>.<ins style="font-weight: bold; text-decoration: none;">com</ins>]<ins style="font-weight: bold; text-decoration: none;">)</ins></div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div><del style="font-weight: bold; text-decoration: none;">In [[set theory]]</del>, <del style="font-weight: bold; text-decoration: none;">the </del>''<del style="font-weight: bold; text-decoration: none;">'difference hierarchy''' over </del>a <del style="font-weight: bold; text-decoration: none;">[[pointclass]] is a [[hierarchy (mathematics)|hierarchy]] of larger pointclasses</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div><del style="font-weight: bold; text-decoration: none;">generated by taking [[complement (set theory)|difference]]s of sets</del>. <del style="font-weight: bold; text-decoration: none;">If &amp;Gamma; is </del>a <del style="font-weight: bold; text-decoration: none;">pointclass, then the set of differences </del>in <del style="font-weight: bold; text-decoration: none;">&amp;Gamma; is </del>&lt;<del style="font-weight: bold; text-decoration: none;">math</del>&gt;<del style="font-weight: bold; text-decoration: none;">\{A:\exists C,D\in\Gamma ( A = C\setminus D)\}</del>&lt;<del style="font-weight: bold; text-decoration: none;">/math</del>&gt;<del style="font-weight: bold; text-decoration: none;">. In usual notation, this set </del>is <del style="font-weight: bold; text-decoration: none;">denoted by 2-&amp;Gamma;. The next level of the hierarchy is denoted by 3-&amp;Gamma; and consists of differences of three sets</del>:</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div><del style="font-weight: bold; text-decoration: none;">&lt;math&gt;\{A </del>: <del style="font-weight: bold; text-decoration: none;">\exists C,D,E\in\Gamma </del>( <del style="font-weight: bold; text-decoration: none;">A=C\setminus(D\setminus E))\}&lt;</del>/<del style="font-weight: bold; text-decoration: none;">math&gt;</del>. <del style="font-weight: bold; text-decoration: none;">This definition can be extended recursively into the transfinite to &amp;alpha;-&amp;Gamma; for some [[ordinal number|ordinal]] &amp;alpha;</del>.</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div><del style="font-weight: bold; text-decoration: none;">In the [[Borel sets|Borel]] and [[projective set|projective hierarchies]], [[Felix Hausdorff]] proved that the countable levels of the </del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div><del style="font-weight: bold; text-decoration: none;">difference hierarchy over &amp;Pi;&lt;sup&gt;0&lt;</del>/<del style="font-weight: bold; text-decoration: none;">sup&gt;&lt;sub style="margin-left:-0.6em"&gt;&amp;gamma;&lt;</del>/<del style="font-weight: bold; text-decoration: none;">sub&gt; and &amp;Pi;&lt;sup&gt;1&lt;</del>/<del style="font-weight: bold; text-decoration: none;">sup&gt;&lt;sub style="margin-left:-0.6em"&gt;&amp;gamma;&lt;</del>/<del style="font-weight: bold; text-decoration: none;">sub&gt; give</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div><del style="font-weight: bold; text-decoration: none;">&amp;Delta;&lt;sup&gt;0&lt;/sup&gt;&lt;sub style="margin-left</del>:<del style="font-weight: bold; text-decoration: none;">-0.6em"&gt;&amp;gamma;+1&lt;</del>/<del style="font-weight: bold; text-decoration: none;">sub&gt; and &amp;Delta;&lt;sup&gt;1&lt;</del>/<del style="font-weight: bold; text-decoration: none;">sup&gt;&lt;sub style="margin-left:-0</del>.<del style="font-weight: bold; text-decoration: none;">6em"&gt;&amp;gamma;+1&lt;/sub&gt;, respectively</del>.</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div><del style="font-weight: bold; text-decoration: none;">{{settheory-stub}}</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div><del style="font-weight: bold; text-decoration: none;">[[Category:Descriptive set theory]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div><del style="font-weight: bold; text-decoration: none;">[[Category:Mathematical logic hierarchies]</del>]</div></td><td colspan="2" class="diff-side-added"></td></tr> </table>

182.72.245.10 https://en.formulasearchengine.com/index.php?title=Replica_trick&diff=12665&oldid=prev 2014-01-29T05:58:17Z

<p><span class="autocomment">Mathematical Trick: </span>Fix <a href="/index.php?title=Help:CS1_errors&amp;action=edit&amp;redlink=1" class="new" title="Help:CS1 errors (page does not exist)">CS1 deprecated date parameter errors</a></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 07:58, 29 January 2014</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div><del style="font-weight: bold; text-decoration: none;">Hello and welcome</del>. <del style="font-weight: bold; text-decoration: none;">My title </del>is <del style="font-weight: bold; text-decoration: none;">Figures Wunder</del>. <del style="font-weight: bold; text-decoration: none;">To do aerobics </del>is <del style="font-weight: bold; text-decoration: none;">a factor that I'm completely addicted to</del>. <del style="font-weight: bold; text-decoration: none;">For years he's been working as a meter reader </del>and <del style="font-weight: bold; text-decoration: none;">it's </del>some <del style="font-weight: bold; text-decoration: none;">thing he really enjoy</del>. <del style="font-weight: bold; text-decoration: none;">Years in </del>the <del style="font-weight: bold; text-decoration: none;">past he moved to North Dakota </del>and <del style="font-weight: bold; text-decoration: none;">his family members enjoys it</del>.&lt;<del style="font-weight: bold; text-decoration: none;">br</del>&gt;&lt;<del style="font-weight: bold; text-decoration: none;">br</del>&gt;<del style="font-weight: bold; text-decoration: none;">my web page std home test ([http</del>://<del style="font-weight: bold; text-decoration: none;">www</del>.<del style="font-weight: bold; text-decoration: none;">hard</del>-<del style="font-weight: bold; text-decoration: none;">ass</del>-<del style="font-weight: bold; text-decoration: none;">porn</del>.<del style="font-weight: bold; text-decoration: none;">com</del>/<del style="font-weight: bold; text-decoration: none;">user/MPolglaze More inspiring ideas</del>]<del style="font-weight: bold; text-decoration: none;">)</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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;"><div><ins style="font-weight: bold; text-decoration: none;">{{Noref|date=May 2011}}</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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;"><div><ins style="font-weight: bold; text-decoration: none;">In [[set theory]], the '''difference hierarchy''' over a [[pointclass]] is a [[hierarchy (mathematics)|hierarchy]] of larger pointclasses</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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;"><div><ins style="font-weight: bold; text-decoration: none;">generated by taking [[complement (set theory)|difference]]s of sets</ins>. <ins style="font-weight: bold; text-decoration: none;">If &amp;Gamma; </ins>is <ins style="font-weight: bold; text-decoration: none;">a pointclass, then the set of differences in &amp;Gamma; is &lt;math&gt;\{A:\exists C,D\in\Gamma ( A = C\setminus D)\}&lt;/math&gt;</ins>. <ins style="font-weight: bold; text-decoration: none;">In usual notation, this set </ins>is <ins style="font-weight: bold; text-decoration: none;">denoted by 2-&amp;Gamma;</ins>. <ins style="font-weight: bold; text-decoration: none;">The next level of the hierarchy is denoted by 3-&amp;Gamma; </ins>and <ins style="font-weight: bold; text-decoration: none;">consists of differences of three sets:</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;math&gt;\{A : \exists C,D,E\in\Gamma ( A=C\setminus(D\setminus E))\}&lt;/math&gt;. This definition can be extended recursively into the transfinite to &amp;alpha;-&amp;Gamma; for </ins>some <ins style="font-weight: bold; text-decoration: none;">[[ordinal number|ordinal]] &amp;alpha;</ins>.</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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;"><div><ins style="font-weight: bold; text-decoration: none;">In </ins>the <ins style="font-weight: bold; text-decoration: none;">[[Borel sets|Borel]] </ins>and <ins style="font-weight: bold; text-decoration: none;">[[projective set|projective hierarchies]], [[Felix Hausdorff]] proved that the countable levels of the </ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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;"><div><ins style="font-weight: bold; text-decoration: none;">difference hierarchy over &amp;Pi;&lt;sup&gt;0&lt;/sup&gt;&lt;sub style="margin-left:-0</ins>.<ins style="font-weight: bold; text-decoration: none;">6em"&gt;&amp;gamma;</ins>&lt;<ins style="font-weight: bold; text-decoration: none;">/sub</ins>&gt; <ins style="font-weight: bold; text-decoration: none;">and &amp;Pi;</ins>&lt;<ins style="font-weight: bold; text-decoration: none;">sup</ins>&gt;<ins style="font-weight: bold; text-decoration: none;">1&lt;/sup&gt;&lt;sub style="margin-left</ins>:<ins style="font-weight: bold; text-decoration: none;">-0.6em"&gt;&amp;gamma;&lt;</ins>/<ins style="font-weight: bold; text-decoration: none;">sub&gt; give</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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;"><div><ins style="font-weight: bold; text-decoration: none;">&amp;Delta;&lt;sup&gt;0&lt;</ins>/<ins style="font-weight: bold; text-decoration: none;">sup&gt;&lt;sub style="margin-left:-0</ins>.<ins style="font-weight: bold; text-decoration: none;">6em"&gt;&amp;gamma;+1&lt;/sub&gt; and &amp;Delta;&lt;sup&gt;1&lt;/sup&gt;&lt;sub style="margin</ins>-<ins style="font-weight: bold; text-decoration: none;">left:</ins>-<ins style="font-weight: bold; text-decoration: none;">0</ins>.<ins style="font-weight: bold; text-decoration: none;">6em"&gt;&amp;gamma;+1&lt;</ins>/<ins style="font-weight: bold; text-decoration: none;">sub&gt;, respectively.</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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;"><div><ins style="font-weight: bold; text-decoration: none;">{{settheory-stub}}</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Descriptive set theory]]</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Mathematical logic hierarchies]</ins>]</div></td></tr> </table>

en>Monkbot https://en.formulasearchengine.com/index.php?title=Replica_trick&diff=246381&oldid=prev 2012-08-30T15:36:28Z

<p>fixed some typos</p> <p><b>New page</b></p><div>Hello and welcome. My title is Figures Wunder. To do aerobics is a factor that I&#039;m completely addicted to. For years he&#039;s been working as a meter reader and it&#039;s some thing he really enjoy. Years in the past he moved to North Dakota and his family members enjoys it.&lt;br&gt;&lt;br&gt;my web page std home test ([http://www.hard-ass-porn.com/user/MPolglaze More inspiring ideas])</div>

en>Trumpsternator