https://wikibase.ronzz.org/index.php?action=history&feed=atom&title=Item%3AQ1991 2026-10-17T04:24:21Z Revision history for this page on the wiki MediaWiki 1.46.0 https://wikibase.ronzz.org/index.php?title=Item:Q1991&diff=9693&oldid=prev 2026-10-10T18:36:58Z

<p>Updated the item for Reduction of order for ordinary differential equations from Special:Update</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 18:36, 10 October 2026</td> </tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a></td><td colspan="2" class="diff-lineno"></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;"><span><a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a></span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a>: <a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a> / rank</td><td colspan="2" class="diff-lineno"></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;"><span>Normal rank</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a></td><td colspan="2" class="diff-lineno"></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;"><span>F\\bigl(x,y,y&apos;,y&apos;&apos;,\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow \\begin{cases} y_1&apos;=y_2 \\\\ y_2&apos;=y_3 \\\\ \\vdots \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases}</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a>: F\\bigl(x,y,y&apos;,y&apos;&apos;,\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow \\begin{cases} y_1&apos;=y_2 \\\\ y_2&apos;=y_3 \\\\ \\vdots \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases} / rank</td><td colspan="2" class="diff-lineno"></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;"><span>Normal rank</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a></td><td colspan="2" class="diff-lineno"></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;"><span><a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a></span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a>: <a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a> / rank</td><td colspan="2" class="diff-lineno"></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;"><span>Normal rank</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a></td></tr><tr><td colspan="2"> </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;"><span><a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a></span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a>: <a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a> / rank</td></tr><tr><td colspan="2"> </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;"><span>Normal rank</span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a></td></tr><tr><td colspan="2"> </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;"><span>F\\bigl(x,y,y&apos;,y&apos;&apos;,\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow \\begin{cases} y_2=y_1&apos; \\\\ y_3=y_2&apos; \\\\ \\vdots \\\\ y_n=y_{n-1}&apos; \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases}</span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a>: F\\bigl(x,y,y&apos;,y&apos;&apos;,\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow \\begin{cases} y_2=y_1&apos; \\\\ y_3=y_2&apos; \\\\ \\vdots \\\\ y_n=y_{n-1}&apos; \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases} / rank</td></tr><tr><td colspan="2"> </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;"><span>Normal rank</span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a></td></tr><tr><td colspan="2"> </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;"><span><a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a></span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a>: <a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a> / rank</td></tr><tr><td colspan="2"> </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;"><span>Normal rank</span></ins></div></td></tr> <!-- diff cache key wikibase:diff:1.41:old-9692:rev-9693:lang-en --> </table>

Rongzhou https://wikibase.ronzz.org/index.php?title=Item:Q1991&diff=9692&oldid=prev 2026-10-10T18:33:43Z

<p>‎<span dir="auto"><span class="autocomment">Restore revision <a href="/wiki/Special:PermanentLink/9685" title="Special:PermanentLink/9685">9685</a> by <a href="/wiki/Special:Contributions/Rongzhou" title="Special:Contributions/Rongzhou">Rongzhou</a> (<a href="/index.php?title=User_talk:Rongzhou&amp;action=edit&amp;redlink=1" class="new" title="User talk:Rongzhou (page does not exist)">talk</a>)</span></span></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 18:33, 10 October 2026</td> </tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a></td><td colspan="2" class="diff-lineno"></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;"><span><a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a></span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a>: <a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a> / rank</td><td colspan="2" class="diff-lineno"></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;"><span>Normal rank</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a></td><td colspan="2" class="diff-lineno"></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;"><span>F\\bigl(x,y,y&apos;,y&apos;&apos;,\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow f(x,y,y_2,\\ldots,y_{n+1}) =0, \\begin{cases} y&apos;=y_2 \\\\ y&apos;&apos;=y_3 \\\\ \\vdots \\\\ y^{(n)}=y_{n+1}\\end{cases}</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a>: F\\bigl(x,y,y&apos;,y&apos;&apos;,\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow f(x,y,y_2,\\ldots,y_{n+1}) =0, \\begin{cases} y&apos;=y_2 \\\\ y&apos;&apos;=y_3 \\\\ \\vdots \\\\ y^{(n)}=y_{n+1}\\end{cases} / rank</td><td colspan="2" class="diff-lineno"></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;"><span>Normal rank</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a></td><td colspan="2" class="diff-lineno"></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;"><span><a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a></span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a>: <a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a> / rank</td><td colspan="2" class="diff-lineno"></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;"><span>Normal rank</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a></td></tr><tr><td colspan="2"> </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;"><span><a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a></span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a>: <a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a> / rank</td></tr><tr><td colspan="2"> </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;"><span>Normal rank</span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a></td></tr><tr><td colspan="2"> </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;"><span>F\\bigl(x,y,y&apos;,y&apos;&apos;,\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow \\begin{cases} y_1&apos;=y_2 \\\\ y_2&apos;=y_3 \\\\ \\vdots \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases}</span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a>: F\\bigl(x,y,y&apos;,y&apos;&apos;,\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow \\begin{cases} y_1&apos;=y_2 \\\\ y_2&apos;=y_3 \\\\ \\vdots \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases} / rank</td></tr><tr><td colspan="2"> </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;"><span>Normal rank</span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a></td></tr><tr><td colspan="2"> </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;"><span><a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a></span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a>: <a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a> / rank</td></tr><tr><td colspan="2"> </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;"><span>Normal rank</span></ins></div></td></tr> <!-- diff cache key wikibase:diff:1.41:old-9686:rev-9692:lang-en --> </table>

Rongzhou https://wikibase.ronzz.org/index.php?title=Item:Q1991&diff=9686&oldid=prev 2026-10-10T18:10:52Z

<p>Updated the item for Reduction of order for ordinary differential equations from Special:Update</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 18:10, 10 October 2026</td> </tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a></td><td colspan="2" class="diff-lineno"></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;"><span><a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a></span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a>: <a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a> / rank</td><td colspan="2" class="diff-lineno"></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;"><span>Normal rank</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a></td><td colspan="2" class="diff-lineno"></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;"><span>F\\bigl(x,y,y&apos;,y&apos;&apos;,\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow \\begin{cases} y_1&apos;=y_2 \\\\ y_2&apos;=y_3 \\\\ \\vdots \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases}</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a>: F\\bigl(x,y,y&apos;,y&apos;&apos;,\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow \\begin{cases} y_1&apos;=y_2 \\\\ y_2&apos;=y_3 \\\\ \\vdots \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases} / rank</td><td colspan="2" class="diff-lineno"></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;"><span>Normal rank</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a></td><td colspan="2" class="diff-lineno"></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;"><span><a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a></span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a>: <a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a> / rank</td><td colspan="2" class="diff-lineno"></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;"><span>Normal rank</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a></td></tr><tr><td colspan="2"> </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;"><span><a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a></span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a>: <a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a> / rank</td></tr><tr><td colspan="2"> </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;"><span>Normal rank</span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a></td></tr><tr><td colspan="2"> </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;"><span>F\\bigl(x,y,y&apos;,y&apos;&apos;,\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow f(x,y,y_2,\\ldots,y_{n+1}) =0, \\begin{cases} y&apos;=y_2 \\\\ y&apos;&apos;=y_3 \\\\ \\vdots \\\\ y^{(n)}=y_{n+1}\\end{cases}</span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a>: F\\bigl(x,y,y&apos;,y&apos;&apos;,\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow f(x,y,y_2,\\ldots,y_{n+1}) =0, \\begin{cases} y&apos;=y_2 \\\\ y&apos;&apos;=y_3 \\\\ \\vdots \\\\ y^{(n)}=y_{n+1}\\end{cases} / rank</td></tr><tr><td colspan="2"> </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;"><span>Normal rank</span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a></td></tr><tr><td colspan="2"> </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;"><span><a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a></span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a>: <a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a> / rank</td></tr><tr><td colspan="2"> </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;"><span>Normal rank</span></ins></div></td></tr> <!-- diff cache key wikibase:diff:1.41:old-9685:rev-9686:lang-en --> </table>

Rongzhou https://wikibase.ronzz.org/index.php?title=Item:Q1991&diff=9685&oldid=prev 2026-10-10T18:05:27Z

<p>Updated the item for Reduction of order for ordinary differential equations from Special:Update</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 18:05, 10 October 2026</td> </tr><tr><td colspan="2" class="diff-lineno">label / en</td><td colspan="2" class="diff-lineno">label / en</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>Reduction of <del style="font-weight: bold; text-decoration: none;">an nth-</del>order <del style="font-weight: bold; text-decoration: none;">equation to a first-order system</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>Reduction of order <ins style="font-weight: bold; text-decoration: none;">for ordinary differential equations</ins></div></td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a></td><td colspan="2" class="diff-lineno"></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;"><span><a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a></span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a>: <a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a> / rank</td><td colspan="2" class="diff-lineno"></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;"><span>Normal rank</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a></td><td colspan="2" class="diff-lineno"></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;"><span>F\\bigl(x,y,y&apos;,y&apos;&apos;,\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow \\begin{cases} y_1&apos;=y_2 \\\\ y_2&apos;=y_3 \\\\ \\vdots \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases}</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a>: F\\bigl(x,y,y&apos;,y&apos;&apos;,\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow \\begin{cases} y_1&apos;=y_2 \\\\ y_2&apos;=y_3 \\\\ \\vdots \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases} / rank</td><td colspan="2" class="diff-lineno"></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;"><span>Normal rank</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a></td><td colspan="2" class="diff-lineno"></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;"><span><a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a></span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a>: <a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a> / rank</td><td colspan="2" class="diff-lineno"></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;"><span>Normal rank</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a></td></tr><tr><td colspan="2"> </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;"><span><a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a></span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a>: <a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a> / rank</td></tr><tr><td colspan="2"> </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;"><span>Normal rank</span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a></td></tr><tr><td colspan="2"> </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;"><span>F\\bigl(x,y,y&apos;,y&apos;&apos;,\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow \\begin{cases} y_1&apos;=y_2 \\\\ y_2&apos;=y_3 \\\\ \\vdots \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases}</span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a>: F\\bigl(x,y,y&apos;,y&apos;&apos;,\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow \\begin{cases} y_1&apos;=y_2 \\\\ y_2&apos;=y_3 \\\\ \\vdots \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases} / rank</td></tr><tr><td colspan="2"> </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;"><span>Normal rank</span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a></td></tr><tr><td colspan="2"> </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;"><span><a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a></span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a>: <a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a> / rank</td></tr><tr><td colspan="2"> </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;"><span>Normal rank</span></ins></div></td></tr> <!-- diff cache key wikibase:diff:1.41:old-9683:rev-9685:lang-en --> </table>

Rongzhou https://wikibase.ronzz.org/index.php?title=Item:Q1991&diff=9683&oldid=prev 2026-10-10T17:46:41Z

<p>Updated the item for Reduction of an nth-order equation to a first-order system from Special:Update</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 17:46, 10 October 2026</td> </tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a></td><td colspan="2" class="diff-lineno"></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;"><span><a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a></span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a>: <a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a> / rank</td><td colspan="2" class="diff-lineno"></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;"><span>Normal rank</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a></td><td colspan="2" class="diff-lineno"></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;"><span>y^{(n)}=f(x,y,y&apos;,\\ldots,y^{(n-1)})\\ \\Longrightarrow\\ y_1=y,\\; y_2=y&apos;,\\;\\ldots,\\;y_n=y^{(n-1)},\\qquad \\begin{cases} y_1&apos;=y_2 \\\\ y_2&apos;=y_3 \\\\ \\vdots \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases}</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a>: y^{(n)}=f(x,y,y&apos;,\\ldots,y^{(n-1)})\\ \\Longrightarrow\\ y_1=y,\\; y_2=y&apos;,\\;\\ldots,\\;y_n=y^{(n-1)},\\qquad \\begin{cases} y_1&apos;=y_2 \\\\ y_2&apos;=y_3 \\\\ \\vdots \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases} / rank</td><td colspan="2" class="diff-lineno"></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;"><span>Normal rank</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a></td><td colspan="2" class="diff-lineno"></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;"><span><a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a></span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a>: <a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a> / rank</td><td colspan="2" class="diff-lineno"></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;"><span>Normal rank</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a></td></tr><tr><td colspan="2"> </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;"><span><a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a></span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a>: <a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a> / rank</td></tr><tr><td colspan="2"> </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;"><span>Normal rank</span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a></td></tr><tr><td colspan="2"> </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;"><span>F\\bigl(x,y,y&apos;,y&apos;&apos;,\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow \\begin{cases} y_1&apos;=y_2 \\\\ y_2&apos;=y_3 \\\\ \\vdots \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases}</span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a>: F\\bigl(x,y,y&apos;,y&apos;&apos;,\\ldots,y^{(n)}\\bigr)=0 \\Longrightarrow \\begin{cases} y_1&apos;=y_2 \\\\ y_2&apos;=y_3 \\\\ \\vdots \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases} / rank</td></tr><tr><td colspan="2"> </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;"><span>Normal rank</span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a></td></tr><tr><td colspan="2"> </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;"><span><a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a></span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a>: <a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a> / rank</td></tr><tr><td colspan="2"> </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;"><span>Normal rank</span></ins></div></td></tr> <!-- diff cache key wikibase:diff:1.41:old-8855:rev-9683:lang-en --> </table>

Rongzhou https://wikibase.ronzz.org/index.php?title=Item:Q1991&diff=8855&oldid=prev 2026-10-04T14:09:04Z

<p>Add content item</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 14:09, 4 October 2026</td> </tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a></td><td colspan="2" class="diff-lineno"></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;"><span><a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a></span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a>: <a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a> / rank</td><td colspan="2" class="diff-lineno"></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;"><span>Normal rank</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a></td><td colspan="2" class="diff-lineno"></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;"><span>y^{(n)}=f(x,y,y&apos;,\\ldots,y^{(n-1)})\\ \\Longrightarrow\\ y_1=y,\\; y_2=y&apos;,\\;\\ldots,\\;y_n=y^{(n-1)},\\qquad \\begin{cases} y_1&apos;=y_2 \\\\ y_2&apos;=y_3 \\\\ \\vdots \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases}</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a>: y^{(n)}=f(x,y,y&apos;,\\ldots,y^{(n-1)})\\ \\Longrightarrow\\ y_1=y,\\; y_2=y&apos;,\\;\\ldots,\\;y_n=y^{(n-1)},\\qquad \\begin{cases} y_1&apos;=y_2 \\\\ y_2&apos;=y_3 \\\\ \\vdots \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases} / rank</td><td colspan="2" class="diff-lineno"></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;"><span>Normal rank</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a></td><td colspan="2" class="diff-lineno"></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;"><span><a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a></span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a>: <a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a> / rank</td><td colspan="2" class="diff-lineno"></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;"><span>Normal rank</span></del></div></td><td colspan="2"> </td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a></td></tr><tr><td colspan="2"> </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;"><span><a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a></span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">instance of</a>: <a title="Item:Q4" href="/wiki/Item:Q4">mathematical expression</a> / rank</td></tr><tr><td colspan="2"> </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;"><span>Normal rank</span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a></td></tr><tr><td colspan="2"> </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;"><span>y^{(n)}=f(x,y,y&apos;,\\ldots,y^{(n-1)})\\ \\Longrightarrow\\ y_1=y,\\; y_2=y&apos;,\\;\\ldots,\\;y_n=y^{(n-1)},\\qquad \\begin{cases} y_1&apos;=y_2 \\\\ y_2&apos;=y_3 \\\\ \\vdots \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases}</span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P4" href="/wiki/Property:P4">LaTeX source</a>: y^{(n)}=f(x,y,y&apos;,\\ldots,y^{(n-1)})\\ \\Longrightarrow\\ y_1=y,\\; y_2=y&apos;,\\;\\ldots,\\;y_n=y^{(n-1)},\\qquad \\begin{cases} y_1&apos;=y_2 \\\\ y_2&apos;=y_3 \\\\ \\vdots \\\\ y_n&apos;=f(x,y_1,y_2,\\ldots,y_n) \\end{cases} / rank</td></tr><tr><td colspan="2"> </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;"><span>Normal rank</span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a></td></tr><tr><td colspan="2"> </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;"><span><a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a></span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P29" href="/wiki/Property:P29">describes</a>: <a title="Item:Q1984" href="/wiki/Item:Q1984">Ordinary differential equation</a> / rank</td></tr><tr><td colspan="2"> </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;"><span>Normal rank</span></ins></div></td></tr> <!-- diff cache key wikibase:diff:1.41:old-8854:rev-8855:lang-en --> </table>

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