http://wiki.cecm.usp.br/wiki/index.php?action=history&feed=atom&title=Teorema_de_Mussnich 2026-04-27T02:41:21Z Histórico de revisões para esta página neste wiki MediaWiki 1.32.0 http://wiki.cecm.usp.br/wiki/index.php?title=Teorema_de_Mussnich&diff=13911&oldid=prev 2015-03-27T12:44:31Z

<p>moveu <a href="/wiki/index.php?title=Teorema_de_Mussnich-Gabriel&amp;action=edit&amp;redlink=1" class="new" title="Teorema de Mussnich-Gabriel (página inexistente)">Teorema de Mussnich-Gabriel</a> para <a href="/wiki/index.php/Teorema_de_Mussnich" title="Teorema de Mussnich">Teorema de Mussnich</a></p> <table class="diff diff-contentalign-left" data-mw="interface"> <tr class="diff-title" lang="pt-BR"> <td colspan="1" style="background-color: #fff; color: #222; text-align: center;">← Edição anterior</td> <td colspan="1" style="background-color: #fff; color: #222; text-align: center;">Edição das 12h44min de 27 de março de 2015</td> </tr><tr><td colspan="2" class="diff-notice" lang="pt-BR"><div class="mw-diff-empty">(Sem diferença)</div> </td></tr></table>

Leon http://wiki.cecm.usp.br/wiki/index.php?title=Teorema_de_Mussnich&diff=13910&oldid=prev 2015-03-27T12:44:02Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt-BR"> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Edição anterior</td> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Edição das 12h44min de 27 de março de 2015</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Linha 1:</td> <td colspan="2" class="diff-lineno">Linha 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del style="font-weight: bold; text-decoration: none;">Provado verbalmente às 17h:05min de 25/09/2007, no meio do trânsito.</del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'> </td><td style="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;"><div>''Teorema''. '''Para toda seqüência ordenada finita de algarismos decimais, existe um número irracional cuja representação decimal contém a seqüência dada.'''</div></td><td class='diff-marker'> </td><td style="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;"><div>''Teorema''. '''Para toda seqüência ordenada finita de algarismos decimais, existe um número irracional cuja representação decimal contém a seqüência dada.'''</div></td></tr> <tr><td class='diff-marker'> </td><td style="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;"></td><td class='diff-marker'> </td><td style="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;"></td></tr> </table>

Leon http://wiki.cecm.usp.br/wiki/index.php?title=Teorema_de_Mussnich&diff=10524&oldid=prev 2008-05-23T07:12:29Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt-BR"> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Edição anterior</td> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Edição das 07h12min de 23 de maio de 2008</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l11" >Linha 11:</td> <td colspan="2" class="diff-lineno">Linha 11:</td></tr> <tr><td class='diff-marker'> </td><td style="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;"><div>é irracional e contém, em sua expansão decimal, a seqüência dada. &lt;math&gt;\blacksquare&lt;/math&gt;</div></td><td class='diff-marker'> </td><td style="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;"><div>é irracional e contém, em sua expansão decimal, a seqüência dada. &lt;math&gt;\blacksquare&lt;/math&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="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;"></td><td class='diff-marker'> </td><td style="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;"></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div>[[Categoria: <del class="diffchange diffchange-inline">Lucaix]]</del></div></td><td class='diff-marker'>+</td><td style="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;"><div>[[Categoria: <ins class="diffchange diffchange-inline">T16</ins>]]</div></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">[[Categoria: Leonardo Hanao Gabriel</del>]]</div></td><td colspan="2"> </td></tr> </table>

Lucaix http://wiki.cecm.usp.br/wiki/index.php?title=Teorema_de_Mussnich&diff=10523&oldid=prev 2008-05-23T07:12:06Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt-BR"> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Edição anterior</td> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Edição das 07h12min de 23 de maio de 2008</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l10" >Linha 10:</td> <td colspan="2" class="diff-lineno">Linha 10:</td></tr> <tr><td class='diff-marker'> </td><td style="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;"></td><td class='diff-marker'> </td><td style="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;"></td></tr> <tr><td class='diff-marker'> </td><td style="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;"><div>é irracional e contém, em sua expansão decimal, a seqüência dada. &lt;math&gt;\blacksquare&lt;/math&gt;</div></td><td class='diff-marker'> </td><td style="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;"><div>é irracional e contém, em sua expansão decimal, a seqüência dada. &lt;math&gt;\blacksquare&lt;/math&gt;</div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Categoria: Lucaix]]</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Categoria: Leonardo Hanao Gabriel]]</ins></div></td></tr> </table>

Lucaix http://wiki.cecm.usp.br/wiki/index.php?title=Teorema_de_Mussnich&diff=10522&oldid=prev 2008-05-23T07:10:31Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="pt-BR"> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Edição anterior</td> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Edição das 07h10min de 23 de maio de 2008</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l4" >Linha 4:</td> <td colspan="2" class="diff-lineno">Linha 4:</td></tr> <tr><td class='diff-marker'> </td><td style="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;"><div>''Teorema''. '''Para toda seqüência ordenada finita de algarismos decimais, existe um número irracional cuja representação decimal contém a seqüência dada.'''</div></td><td class='diff-marker'> </td><td style="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;"><div>''Teorema''. '''Para toda seqüência ordenada finita de algarismos decimais, existe um número irracional cuja representação decimal contém a seqüência dada.'''</div></td></tr> <tr><td class='diff-marker'> </td><td style="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;"></td><td class='diff-marker'> </td><td style="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;"></td></tr> <tr><td class='diff-marker'>−</td><td style="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;"><div><del class="diffchange diffchange-inline">''</del>Prova<del class="diffchange diffchange-inline">''</del>. (em <del class="diffchange diffchange-inline">breve)</del></div></td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">==</ins>Prova <ins class="diffchange diffchange-inline">==</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">Seja &lt;math&gt;n_{1}, </ins>.<ins class="diffchange diffchange-inline">.., n_{k}&lt;/math&gt; uma seqüência arbitrária de algarismos decimais. O número </ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">&lt;math&gt;</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="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;"><div>(<ins class="diffchange diffchange-inline">\sum_{i=0}^{k-1} n_{i+1}10^{-i}) + e . 10^{-k}&lt;/math&gt;</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="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;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="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;"><div><ins class="diffchange diffchange-inline">é irracional e contém, </ins>em <ins class="diffchange diffchange-inline">sua expansão decimal, a seqüência dada. &lt;math&gt;\blacksquare&lt;/math&gt;</ins></div></td></tr> </table>

Lucaix http://wiki.cecm.usp.br/wiki/index.php?title=Teorema_de_Mussnich&diff=10114&oldid=prev 2007-09-25T21:39:14Z

<p>New page: Provado verbalmente às 17h:05min de 25/09/2007, no meio do trânsito. &#039;&#039;Teorema&#039;&#039;. &#039;&#039;&#039;Para toda seqüência ordenada finita de algarismos decimais, existe um número irracional cuja rep...</p> <p><b>Página nova</b></p><div>Provado verbalmente às 17h:05min de 25/09/2007, no meio do trânsito.<br /> <br /> <br /> ''Teorema''. '''Para toda seqüência ordenada finita de algarismos decimais, existe um número irracional cuja representação decimal contém a seqüência dada.'''<br /> <br /> ''Prova''. (em breve)</div>

Leon