https://en.formulasearchengine.com/index.php?action=history&feed=atom&title=Inverse_Beta_Decay 2026-05-23T20:37:26Z Revision history for this page on the wiki MediaWiki 1.43.0-wmf.28 https://en.formulasearchengine.com/index.php?title=Inverse_Beta_Decay&diff=13627&oldid=prev 2013-02-26T21:49:59Z

<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 23:49, 26 February 2013</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;">Andrew Berryhill </del>is <del style="font-weight: bold; text-decoration: none;">what his spouse loves </del>to <del style="font-weight: bold; text-decoration: none;">contact him and he totally digs that </del>title. <del style="font-weight: bold; text-decoration: none;">Doing ballet </del>is <del style="font-weight: bold; text-decoration: none;">some thing she would </del>by <del style="font-weight: bold; text-decoration: none;">no means give up</del>. <del style="font-weight: bold; text-decoration: none;">Office supervising is my profession</del>. <del style="font-weight: bold; text-decoration: none;">My spouse and I reside in Mississippi </del>and <del style="font-weight: bold; text-decoration: none;">I love psychic readings </del>([<del style="font-weight: bold; text-decoration: none;">http://chorokdeul</del>.<del style="font-weight: bold; text-decoration: none;">co</del>.<del style="font-weight: bold; text-decoration: none;">kr</del>/<del style="font-weight: bold; text-decoration: none;">index</del>.<del style="font-weight: bold; text-decoration: none;">php?document_srl=324263&amp;mid=customer21 chorokdeul</del>.<del style="font-weight: bold; text-decoration: none;">co</del>.<del style="font-weight: bold; text-decoration: none;">kr</del>]<del style="font-weight: bold; text-decoration: none;">) </del>every <del style="font-weight: bold; text-decoration: none;">day living here</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;">In [[set theory]], the '''critical point''' of an [[elementary embedding]] of a [[transitive class]] into another transitive class </ins>is <ins style="font-weight: bold; text-decoration: none;">the smallest [[ordinal number|ordinal]] which is not mapped </ins>to <ins style="font-weight: bold; text-decoration: none;">itself.&lt;ref&gt;{{cite book | last = Jech | first = Thomas | </ins>title <ins style="font-weight: bold; text-decoration: none;">= Set Theory | publisher = Springer-Verlag | location = Berlin | year = 2002 | isbn = 3-540-44085-2 }} p</ins>. <ins style="font-weight: bold; text-decoration: none;">323&lt;/ref&gt;</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;">Suppose that j : ''N'' → ''M'' is an elementary embedding where ''N'' and ''M'' are transitive classes and j </ins>is <ins style="font-weight: bold; text-decoration: none;">definable in ''N'' </ins>by <ins style="font-weight: bold; text-decoration: none;">a formula of set theory with parameters from ''N''.  Then j must take ordinals to ordinals and j must be strictly increasing</ins>. <ins style="font-weight: bold; text-decoration: none;"> Also j(ω)=ω</ins>. <ins style="font-weight: bold; text-decoration: none;"> If j(α)=α for all α&lt;κ </ins>and <ins style="font-weight: bold; text-decoration: none;">j</ins>(<ins style="font-weight: bold; text-decoration: none;">κ)&gt;κ, then κ is said to be the critical point of j.</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;">If ''N'' is ''[</ins>[<ins style="font-weight: bold; text-decoration: none;">Von Neumann universe|V]]'', then κ (the critical point of j) is always a [[measurable cardinal]], i.e. an uncountable [[cardinal number]] κ such that there exists a &lt;κ-complete, non-principal [[ultrafilter]] over κ</ins>. <ins style="font-weight: bold; text-decoration: none;">Specifically, one may take the filter to be &lt;math&gt; \{A \vert A \subseteq \kappa \land \kappa \in j (A) \} \,</ins>.<ins style="font-weight: bold; text-decoration: none;">&lt;</ins>/<ins style="font-weight: bold; text-decoration: none;">math&gt; Generally, there will be many other &lt;κ-complete, non-principal ultrafilters over κ</ins>. <ins style="font-weight: bold; text-decoration: none;">However, j might be different from the ultrapower(s) arising from such filter(s)</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;">If ''N'' and ''M'' are the same and j is the identity function on ''N'', then j is called "trivial"</ins>. <ins style="font-weight: bold; text-decoration: none;"> If transitive class ''N'' is an [[inner model]</ins>] <ins style="font-weight: bold; text-decoration: none;">of ZFC and j has no critical point, i.e. </ins>every <ins style="font-weight: bold; text-decoration: none;">ordinal maps to itself, then j is trivial</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;">==References==</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;">{{reflist}}</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;">{{DEFAULTSORT:Critical Point (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><ins style="font-weight: bold; text-decoration: none;">[[Category:Large cardinals]]</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> </table>

en>Zedshort https://en.formulasearchengine.com/index.php?title=Inverse_Beta_Decay&diff=248143&oldid=prev 2012-08-29T08:10:33Z

<p>added <a href="/index.php?title=Category:Radioactivity&amp;action=edit&amp;redlink=1" class="new" title="Category:Radioactivity (page does not exist)">Category:Radioactivity</a>; removed {{uncategorized}} using <a href="/index.php?title=WP:HC&amp;action=edit&amp;redlink=1" class="new" title="WP:HC (page does not exist)">HotCat</a></p> <p><b>New page</b></p><div>Andrew Berryhill is what his spouse loves to contact him and he totally digs that title. Doing ballet is some thing she would by no means give up. Office supervising is my profession. My spouse and I reside in Mississippi and I love psychic readings ([http://chorokdeul.co.kr/index.php?document_srl=324263&amp;mid=customer21 chorokdeul.co.kr]) every day living here.</div>

en>Malcolma