https://drmf-beta.wmflabs.org/index.php?title=Item:Q4105&feed=atom&action=history
Item:Q4105 - Revision history
2024-03-29T15:56:41Z
Revision history for this page on the wiki
MediaWiki 1.42.0-wmf.12
https://drmf-beta.wmflabs.org/index.php?title=Item:Q4105&diff=54354&oldid=prev
Admin: /* wbeditentity-update:0| */ Add constraint
2020-01-02T13:06:47Z
<p><span dir="auto"><span class="autocomment">Changed an Item: </span></span> Add constraint</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 14:06, 2 January 2020</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">Symbols used</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:Q11516" href="/wiki/Item:Q11516">Q11516</a></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">Symbols used</a>: <a title="Item:Q11516" href="/wiki/Item:Q11516">Q11516</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">Symbols used</a>: <a title="Item:Q11516" href="/wiki/Item:Q11516">Q11516</a> / qualifier</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="Property:P1" href="/wiki/Property:P1">Defining formula</a>: <h4 class="wb-details wb-math-details wb-math-rendered"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle a}}" >
<semantics id="p1.1.m1.1a">
<mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">a</mi>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">ð</ci>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle a}}</annotation>
</semantics>
</math></span><img src="/index.php?title=Special:MathShowImage&hash=0cc175b9c0f1b6a831c399e269772661&mode=latexml" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; height: 1.676ex; width: 1.23ex;" alt="{\displaystyle a}"></span></h4><div class="wb-details wb-math-details"><code>a</code></div></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">Symbols used</a>: <a title="Item:Q11516" href="/wiki/Item:Q11516">Q11516</a> / qualifier</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="Property:P5" href="/wiki/Property:P5">xml-id</a>: <span class="wb-external-id">C12.S1.XMD6.m1ldec</span></span></ins></div></td></tr></table>
Admin
https://drmf-beta.wmflabs.org/index.php?title=Item:Q4105&diff=54343&oldid=prev
Admin: /* wbeditentity-update:0| */ Add constraint
2020-01-02T13:06:44Z
<p><span dir="auto"><span class="autocomment">Changed an Item: </span></span> Add constraint</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 14:06, 2 January 2020</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">Symbols used</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:Q11513" href="/wiki/Item:Q11513">Q11513</a></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">Symbols used</a>: <a title="Item:Q11513" href="/wiki/Item:Q11513">Q11513</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">Symbols used</a>: <a title="Item:Q11513" href="/wiki/Item:Q11513">Q11513</a> / qualifier</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="Property:P1" href="/wiki/Property:P1">Defining formula</a>: <h4 class="wb-details wb-math-details wb-math-rendered"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle z}}" >
<semantics id="p1.1.m1.1a">
<mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">z</mi>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">ð§</ci>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle z}}</annotation>
</semantics>
</math></span><img src="/index.php?title=Special:MathShowImage&hash=fbade9e36a3f36d3d676c1b808451dd7&mode=latexml" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; height: 1.676ex; width: 1.088ex;" alt="{\displaystyle z}"></span></h4><div class="wb-details wb-math-details"><code>z</code></div></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">Symbols used</a>: <a title="Item:Q11513" href="/wiki/Item:Q11513">Q11513</a> / qualifier</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="Property:P5" href="/wiki/Property:P5">xml-id</a>: <span class="wb-external-id">C12.S1.XMD3.m1odec</span></span></ins></div></td></tr></table>
Admin
https://drmf-beta.wmflabs.org/index.php?title=Item:Q4105&diff=54335&oldid=prev
Admin: /* wbeditentity-update:0| */ Add constraint
2020-01-02T13:06:41Z
<p><span dir="auto"><span class="autocomment">Changed an Item: </span></span> Add constraint</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 14:06, 2 January 2020</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">Symbols used</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:Q11517" href="/wiki/Item:Q11517">Q11517</a></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">Symbols used</a>: <a title="Item:Q11517" href="/wiki/Item:Q11517">Q11517</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">Symbols used</a>: <a title="Item:Q11517" href="/wiki/Item:Q11517">Q11517</a> / qualifier</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="Property:P1" href="/wiki/Property:P1">Defining formula</a>: <h4 class="wb-details wb-math-details wb-math-rendered"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle V\left(\NVar{a},\NVar{z}\right)}}" >
<semantics id="p1.1.m1.1a">
<mrow id="p1.1.m1.1.1.9.2" xref="p1.1.m1.1.1.1.cmml">
<mi id="p1.1.m1.1.1.2.1.2" xref="p1.1.m1.1.1.2.1.1.cmml">V</mi>
<mo id="p1.1.m1.1.1.9.2a" xref="p1.1.m1.1.1.1.cmml">â¡</mo>
<mrow id="p1.1.m1.1.1.9.2.1" xref="p1.1.m1.1.1.1.cmml">
<mo id="p1.1.m1.1.1.4" xref="p1.1.m1.1.1.1.cmml">(</mo>
<mi class="ltx_nvar" id="p1.1.m1.1.1.5" xref="p1.1.m1.1.1.5.cmml">a</mi>
<mo id="p1.1.m1.1.1.6" xref="p1.1.m1.1.1.1.cmml">,</mo>
<mi class="ltx_nvar" id="p1.1.m1.1.1.7" xref="p1.1.m1.1.1.7.cmml">z</mi>
<mo id="p1.1.m1.1.1.8" xref="p1.1.m1.1.1.1.cmml">)</mo>
</mrow>
</mrow>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<apply id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.9.2">
<csymbol cd="dlmf" id="p1.1.m1.1.1.2.1.1.cmml" xref="p1.1.m1.1.1.2.1.2">parabolic-V</csymbol>
<ci id="p1.1.m1.1.1.5.cmml" xref="p1.1.m1.1.1.5">ð</ci>
<ci id="p1.1.m1.1.1.7.cmml" xref="p1.1.m1.1.1.7">ð§</ci>
</apply>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle V\left(\NVar{a},\NVar{z}\right)}}</annotation>
</semantics>
</math></span><img src="/index.php?title=Special:MathShowImage&hash=163dc1a98b183e88b36206463b98a1ac&mode=latexml" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; height: 2.843ex; width: 6.948ex;" alt="{\displaystyle \paraV@{\NVar{a}}{\NVar{z}}}"></span></h4><div class="wb-details wb-math-details"><code>\paraV@{\NVar{a}}{\NVar{z}}</code></div></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">Symbols used</a>: <a title="Item:Q11517" href="/wiki/Item:Q11517">Q11517</a> / qualifier</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="Property:P5" href="/wiki/Property:P5">xml-id</a>: <span class="wb-external-id">C12.S2.SS1.p1.m2afdec</span></span></ins></div></td></tr></table>
Admin
https://drmf-beta.wmflabs.org/index.php?title=Item:Q4105&diff=54330&oldid=prev
Admin: /* wbeditentity-update:0| */ Add constraint
2020-01-02T13:06:40Z
<p><span dir="auto"><span class="autocomment">Changed an Item: </span></span> Add constraint</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 14:06, 2 January 2020</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">Symbols used</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:Q11320" href="/wiki/Item:Q11320">Q11320</a></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">Symbols used</a>: <a title="Item:Q11320" href="/wiki/Item:Q11320">Q11320</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">Symbols used</a>: <a title="Item:Q11320" href="/wiki/Item:Q11320">Q11320</a> / qualifier</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="Property:P1" href="/wiki/Property:P1">Defining formula</a>: <h4 class="wb-details wb-math-details wb-math-rendered"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}" >
<semantics id="p1.1.m1.1a">
<mrow id="p1.1.m1.1.1.9.2" xref="p1.1.m1.1.1.1.cmml">
<mi id="p1.1.m1.1.1.2.1.2" xref="p1.1.m1.1.1.2.1.1.cmml">U</mi>
<mo id="p1.1.m1.1.1.9.2a" xref="p1.1.m1.1.1.1.cmml">â¡</mo>
<mrow id="p1.1.m1.1.1.9.2.1" xref="p1.1.m1.1.1.1.cmml">
<mo id="p1.1.m1.1.1.4" xref="p1.1.m1.1.1.1.cmml">(</mo>
<mi class="ltx_nvar" id="p1.1.m1.1.1.5" xref="p1.1.m1.1.1.5.cmml">a</mi>
<mo id="p1.1.m1.1.1.6" xref="p1.1.m1.1.1.1.cmml">,</mo>
<mi class="ltx_nvar" id="p1.1.m1.1.1.7" xref="p1.1.m1.1.1.7.cmml">z</mi>
<mo id="p1.1.m1.1.1.8" xref="p1.1.m1.1.1.1.cmml">)</mo>
</mrow>
</mrow>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<apply id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.9.2">
<csymbol cd="dlmf" id="p1.1.m1.1.1.2.1.1.cmml" xref="p1.1.m1.1.1.2.1.2">parabolic-U</csymbol>
<ci id="p1.1.m1.1.1.5.cmml" xref="p1.1.m1.1.1.5">ð</ci>
<ci id="p1.1.m1.1.1.7.cmml" xref="p1.1.m1.1.1.7">ð§</ci>
</apply>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}</annotation>
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</math></span><img src="/index.php?title=Special:MathShowImage&hash=79911cd61f5e00ccb41fe60564eb6c63&mode=latexml" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; height: 2.843ex; width: 6.944ex;" alt="{\displaystyle \paraU@{\NVar{a}}{\NVar{z}}}"></span></h4><div class="wb-details wb-math-details"><code>\paraU@{\NVar{a}}{\NVar{z}}</code></div></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">Symbols used</a>: <a title="Item:Q11320" href="/wiki/Item:Q11320">Q11320</a> / qualifier</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="Property:P5" href="/wiki/Property:P5">xml-id</a>: <span class="wb-external-id">C12.S2.SS1.p1.m1aldec</span></span></ins></div></td></tr></table>
Admin
https://drmf-beta.wmflabs.org/index.php?title=Item:Q4105&diff=54327&oldid=prev
Admin: /* wbeditentity-update:0| */ Add constraint
2020-01-02T13:06:39Z
<p><span dir="auto"><span class="autocomment">Changed an Item: </span></span> Add constraint</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 14:06, 2 January 2020</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">Symbols used</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:Q10044" href="/wiki/Item:Q10044">imaginary unit</a></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">Symbols used</a>: <a title="Item:Q10044" href="/wiki/Item:Q10044">imaginary unit</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">Symbols used</a>: <a title="Item:Q10044" href="/wiki/Item:Q10044">imaginary unit</a> / qualifier</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="Property:P1" href="/wiki/Property:P1">Defining formula</a>: <h4 class="wb-details wb-math-details wb-math-rendered"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\mathrm{i}}}" >
<semantics id="p1.1.m1.1a">
<mi mathvariant="normal" id="p1.1.m1.1.1.2" xref="p1.1.m1.1.1.1.cmml">i</mi>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<csymbol cd="dlmf" id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.2">imaginary-unit</csymbol>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\mathrm{i}}}</annotation>
</semantics>
</math></span><img src="/index.php?title=Special:MathShowImage&hash=27c4ce6f415aafbed00325182772dab2&mode=latexml" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; height: 2.176ex; width: 0.647ex;" alt="{\displaystyle \iunit}"></span></h4><div class="wb-details wb-math-details"><code>\iunit</code></div></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">Symbols used</a>: <a title="Item:Q10044" href="/wiki/Item:Q10044">imaginary unit</a> / qualifier</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="Property:P5" href="/wiki/Property:P5">xml-id</a>: <span class="wb-external-id">C1.S9.E1.m2addec</span></span></ins></div></td></tr></table>
Admin
https://drmf-beta.wmflabs.org/index.php?title=Item:Q4105&diff=54323&oldid=prev
Admin: /* wbeditentity-update:0| */ Add constraint
2020-01-02T13:06:38Z
<p><span dir="auto"><span class="autocomment">Changed an Item: </span></span> Add constraint</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 14:06, 2 January 2020</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">Symbols used</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:Q10155" href="/wiki/Item:Q10155">base of natural logarithm</a></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">Symbols used</a>: <a title="Item:Q10155" href="/wiki/Item:Q10155">base of natural logarithm</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">Symbols used</a>: <a title="Item:Q10155" href="/wiki/Item:Q10155">base of natural logarithm</a> / qualifier</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="Property:P1" href="/wiki/Property:P1">Defining formula</a>: <h4 class="wb-details wb-math-details wb-math-rendered"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\mathrm{e}}}" >
<semantics id="p1.1.m1.1a">
<mi mathvariant="normal" id="p1.1.m1.1.1.2" xref="p1.1.m1.1.1.1.cmml">e</mi>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<exponentiale id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.2"/>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\mathrm{e}}}</annotation>
</semantics>
</math></span><img src="/index.php?title=Special:MathShowImage&hash=fb99c4a92e6040aa26caca86f7787d3f&mode=latexml" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; height: 1.676ex; width: 1.032ex;" alt="{\displaystyle \expe}"></span></h4><div class="wb-details wb-math-details"><code>\expe</code></div></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">Symbols used</a>: <a title="Item:Q10155" href="/wiki/Item:Q10155">base of natural logarithm</a> / qualifier</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="Property:P5" href="/wiki/Property:P5">xml-id</a>: <span class="wb-external-id">C4.S2.E11.m2addec</span></span></ins></div></td></tr></table>
Admin
https://drmf-beta.wmflabs.org/index.php?title=Item:Q4105&diff=54315&oldid=prev
Admin: /* wbeditentity-update:0| */ Add constraint
2020-01-02T13:06:35Z
<p><span dir="auto"><span class="autocomment">Changed an Item: </span></span> Add constraint</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 14:06, 2 January 2020</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">Symbols used</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:Q10152" href="/wiki/Item:Q10152">the ratio of the circumference of a circle to its diameter</a></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">Symbols used</a>: <a title="Item:Q10152" href="/wiki/Item:Q10152">the ratio of the circumference of a circle to its diameter</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">Symbols used</a>: <a title="Item:Q10152" href="/wiki/Item:Q10152">the ratio of the circumference of a circle to its diameter</a> / qualifier</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="Property:P1" href="/wiki/Property:P1">Defining formula</a>: <h4 class="wb-details wb-math-details wb-math-rendered"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\pi}}" >
<semantics id="p1.1.m1.1a">
<mi id="p1.1.m1.1.1.2" xref="p1.1.m1.1.1.1.cmml">Ï</mi>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<pi id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.2"/>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\pi}}</annotation>
</semantics>
</math></span><img src="/index.php?title=Special:MathShowImage&hash=ab92011085e27d41b8fcc6d6f5ed3cb6&mode=latexml" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; height: 1.676ex; width: 1.332ex;" alt="{\displaystyle \cpi}"></span></h4><div class="wb-details wb-math-details"><code>\cpi</code></div></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">Symbols used</a>: <a title="Item:Q10152" href="/wiki/Item:Q10152">the ratio of the circumference of a circle to its diameter</a> / qualifier</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="Property:P5" href="/wiki/Property:P5">xml-id</a>: <span class="wb-external-id">C3.S12.E1.m2aldec</span></span></ins></div></td></tr></table>
Admin
https://drmf-beta.wmflabs.org/index.php?title=Item:Q4105&diff=54313&oldid=prev
Admin: /* wbeditentity-update:0| */ Add constraint
2020-01-02T13:06:34Z
<p><span dir="auto"><span class="autocomment">Changed an Item: </span></span> Add constraint</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 14:06, 2 January 2020</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">Symbols used</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:Q10197" href="/wiki/Item:Q10197">gamma function</a></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">Symbols used</a>: <a title="Item:Q10197" href="/wiki/Item:Q10197">gamma function</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">Symbols used</a>: <a title="Item:Q10197" href="/wiki/Item:Q10197">gamma function</a> / qualifier</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="Property:P1" href="/wiki/Property:P1">Defining formula</a>: <h4 class="wb-details wb-math-details wb-math-rendered"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}" >
<semantics id="p1.1.m1.1a">
<mrow id="p1.1.m1.1.1.7.2" xref="p1.1.m1.1.1.1.cmml">
<mi mathvariant="normal" id="p1.1.m1.1.1.2.1.2" xref="p1.1.m1.1.1.2.1.1.cmml">Î</mi>
<mo id="p1.1.m1.1.1.7.2a" xref="p1.1.m1.1.1.1.cmml">â¡</mo>
<mrow id="p1.1.m1.1.1.7.2.1" xref="p1.1.m1.1.1.1.cmml">
<mo id="p1.1.m1.1.1.4" xref="p1.1.m1.1.1.1.cmml">(</mo>
<mi class="ltx_nvar" id="p1.1.m1.1.1.5" xref="p1.1.m1.1.1.5.cmml">z</mi>
<mo id="p1.1.m1.1.1.6" xref="p1.1.m1.1.1.1.cmml">)</mo>
</mrow>
</mrow>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<apply id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.7.2">
<csymbol cd="dlmf" id="p1.1.m1.1.1.2.1.1.cmml" xref="p1.1.m1.1.1.2.1.2">Euler-Gamma</csymbol>
<ci id="p1.1.m1.1.1.5.cmml" xref="p1.1.m1.1.1.5">ð§</ci>
</apply>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}</annotation>
</semantics>
</math></span><img src="/index.php?title=Special:MathShowImage&hash=cb7eaa9912c66190dedd143d546f99c4&mode=latexml" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; height: 2.843ex; width: 4.35ex;" alt="{\displaystyle \EulerGamma@{\NVar{z}}}"></span></h4><div class="wb-details wb-math-details"><code>\EulerGamma@{\NVar{z}}</code></div></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">Symbols used</a>: <a title="Item:Q10197" href="/wiki/Item:Q10197">gamma function</a> / qualifier</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="Property:P5" href="/wiki/Property:P5">xml-id</a>: <span class="wb-external-id">C5.S2.E1.m2ajdec</span></span></ins></div></td></tr></table>
Admin
https://drmf-beta.wmflabs.org/index.php?title=Item:Q4105&diff=10104&oldid=prev
Admin: /* wbeditentity-create-item:0| */ Wikidata Toolkit example test item creation
2019-12-29T13:15:28Z
<p><span dir="auto"><span class="autocomment">Created a new Item: </span></span> Wikidata Toolkit example test item creation</p>
<a href="https://drmf-beta.wmflabs.org/index.php?title=Item:Q4105&diff=10104">Show changes</a>
Admin