http://ooo-imath.sourceforge.net/wiki/index.php?action=history&feed=atom&title=Modular_equation 2026-04-30T23:19:27Z Revision history for this page on the wiki MediaWiki 1.39.8 http://ooo-imath.sourceforge.net/wiki/index.php?title=Modular_equation&diff=662&oldid=prev 2018-01-04T20:33:12Z

<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 20:33, 4 January 2018</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>A relation which has the form &lt;code&gt;[[expression]] EQUIV [[expression]] <del style="font-weight: bold; text-decoration: none;">MOD </del>[[expression]]&lt;/code&gt;. The modulus will be automatically applied on <del style="font-weight: bold; text-decoration: none;">any </del>integers in the equation <del style="font-weight: bold; text-decoration: none;">whenever </del>the equation <del style="font-weight: bold; text-decoration: none;">changes</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>A relation which has the form &lt;code&gt;[[expression]] EQUIV [[expression]] <ins style="font-weight: bold; text-decoration: none;">(&quot;mod&quot; </ins>[[expression]]<ins style="font-weight: bold; text-decoration: none;">)</ins>&lt;/code&gt;. The modulus will be automatically applied <ins style="font-weight: bold; text-decoration: none;">whenever the equation changes, depending </ins>on <ins style="font-weight: bold; text-decoration: none;">the type of the modulus:</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;">* Positive integer modulus: Any </ins>integers in the equation <ins style="font-weight: bold; text-decoration: none;">will be reduced to a remainder smaller than the modulus</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;">* Symbolic modulus (single symbol): Any occurrence of the modulus in </ins>the equation <ins style="font-weight: bold; text-decoration: none;">will be replaced by 0</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;">The brackets around &lt;code&gt;&quot;mod&quot;&lt;/code&gt; can be omitted</ins>.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; 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;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; 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;"><br/></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; 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>[[Category:Element]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; 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>[[Category:Element]]</div></td></tr> </table>

Jrheinlaender http://ooo-imath.sourceforge.net/wiki/index.php?title=Modular_equation&diff=573&oldid=prev 2017-07-04T15:17:24Z

<p>Created page with &quot;A relation which has the form &lt;code&gt;<a href="/wiki/index.php/Expression" title="Expression">expression</a> EQUIV <a href="/wiki/index.php/Expression" title="Expression">expression</a> MOD <a href="/wiki/index.php/Expression" title="Expression">expression</a>&lt;/code&gt;. The modulus will be automatically applied on any integers in the equation wh...&quot;</p> <p><b>New page</b></p><div>A relation which has the form &lt;code&gt;[[expression]] EQUIV [[expression]] MOD [[expression]]&lt;/code&gt;. The modulus will be automatically applied on any integers in the equation whenever the equation changes.<br /> <br /> [[Category:Element]]</div>

Jrheinlaender