https://drmf-beta.wmflabs.org/index.php?title=Item:Q7711&feed=atom&action=history
Item:Q7711 - Revision history
2024-03-28T15:23:27Z
Revision history for this page on the wiki
MediaWiki 1.42.0-wmf.12
https://drmf-beta.wmflabs.org/index.php?title=Item:Q7711&diff=39800&oldid=prev
Admin: /* wbeditentity-update:0| */ Add constraint
2020-01-02T11:45:43Z
<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" />
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<col class="diff-marker" />
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<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 12:45, 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:Q12161" href="/wiki/Item:Q12161">Q12161</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:Q12161" href="/wiki/Item:Q12161">Q12161</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:Q12161" href="/wiki/Item:Q12161">Q12161</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:Q12161" href="/wiki/Item:Q12161">Q12161</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">C25.S1.XMD6.m1addec</span></span></ins></div></td></tr></table>
Admin
https://drmf-beta.wmflabs.org/index.php?title=Item:Q7711&diff=39794&oldid=prev
Admin: /* wbeditentity-update:0| */ Add constraint
2020-01-02T11:45:40Z
<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" />
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<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 12:45, 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:Q12148" href="/wiki/Item:Q12148">Q12148</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:Q12148" href="/wiki/Item:Q12148">Q12148</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:Q12148" href="/wiki/Item:Q12148">Q12148</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"><strong class="error texerror">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}</strong>
</h4><div class="wb-details wb-math-details"><code>n</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:Q12148" href="/wiki/Item:Q12148">Q12148</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">C25.S1.XMD3.m1tdec</span></span></ins></div></td></tr></table>
Admin
https://drmf-beta.wmflabs.org/index.php?title=Item:Q7711&diff=39784&oldid=prev
Admin: /* wbeditentity-update:0| */ Add constraint
2020-01-02T11:45:38Z
<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">
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<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 12:45, 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:Q12150" href="/wiki/Item:Q12150">Q12150</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:Q12150" href="/wiki/Item:Q12150">Q12150</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:Q12150" href="/wiki/Item:Q12150">Q12150</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"><strong class="error texerror">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}</strong>
</h4><div class="wb-details wb-math-details"><code>k</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:Q12150" href="/wiki/Item:Q12150">Q12150</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">C25.S1.XMD1.m1gdec</span></span></ins></div></td></tr></table>
Admin
https://drmf-beta.wmflabs.org/index.php?title=Item:Q7711&diff=39776&oldid=prev
Admin: /* wbeditentity-update:0| */ Add constraint
2020-01-02T11:45:36Z
<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 12:45, 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:Q10811" href="/wiki/Item:Q10811">Q10811</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:Q10811" href="/wiki/Item:Q10811">Q10811</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:Q10811" href="/wiki/Item:Q10811">Q10811</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"><strong class="error texerror">Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@}</strong>
</h4><div class="wb-details wb-math-details"><code>\realpart@@</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:Q10811" href="/wiki/Item:Q10811">Q10811</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.E2.m1atdec</span></span></ins></div></td></tr></table>
Admin
https://drmf-beta.wmflabs.org/index.php?title=Item:Q7711&diff=39770&oldid=prev
Admin: /* wbeditentity-update:0| */ Add constraint
2020-01-02T11:45:34Z
<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 12:45, 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:Q10817" href="/wiki/Item:Q10817">Q10817</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:Q10817" href="/wiki/Item:Q10817">Q10817</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:Q10817" href="/wiki/Item:Q10817">Q10817</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\operatorname{ph}}}" >
<semantics id="p1.1.m1.1a">
<mi id="p1.1.m1.1.1.3" xref="p1.1.m1.1.1.1.cmml">ph</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.m1.1.1.3">phase</csymbol>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\operatorname{ph}}}</annotation>
</semantics>
</math></span><img src="/index.php?title=Special:MathShowImage&hash=8399d6b58f086179395bd495026aceab&mode=latexml" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.671ex; height: 2.509ex; width: 2.585ex;" alt="{\displaystyle \phase}"></span></h4><div class="wb-details wb-math-details"><code>\phase</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:Q10817" href="/wiki/Item:Q10817">Q10817</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.E7.m1adec</span></span></ins></div></td></tr></table>
Admin
https://drmf-beta.wmflabs.org/index.php?title=Item:Q7711&diff=39767&oldid=prev
Admin: /* wbeditentity-update:0| */ Add constraint
2020-01-02T11:45:33Z
<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 12:45, 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:Q10154" href="/wiki/Item:Q10154">principal branch of logarithm 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:Q10154" href="/wiki/Item:Q10154">principal branch of logarithm 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:Q10154" href="/wiki/Item:Q10154">principal branch of logarithm 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\ln\NVar{z}}}" >
<semantics id="p1.1.m1.1a">
<mrow id="p1.1.m1.1.1.5" 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">ln</mi>
<mo id="p1.1.m1.1.1.5a" xref="p1.1.m1.1.1.1.cmml">â¡</mo>
<mi class="ltx_nvar" id="p1.1.m1.1.1.4" xref="p1.1.m1.1.1.4.cmml">z</mi>
</mrow>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<apply id="p1.1.m1.1.1.1.cmml" xref="p1.1.m1.1.1.5">
<ln id="p1.1.m1.1.1.2.1.1.cmml" xref="p1.1.m1.1.1.2.1.2"/>
<ci id="p1.1.m1.1.1.4.cmml" xref="p1.1.m1.1.1.4">ð§</ci>
</apply>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\ln\NVar{z}}}</annotation>
</semantics>
</math></span><img src="/index.php?title=Special:MathShowImage&hash=3fe285ab110d627030295ed621c92731&mode=latexml" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; height: 2.176ex; width: 3.415ex;" alt="{\displaystyle \ln@@{\NVar{z}}}"></span></h4><div class="wb-details wb-math-details"><code>\ln@@{\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:Q10154" href="/wiki/Item:Q10154">principal branch of logarithm 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">C4.S2.E2.m2agdec</span></span></ins></div></td></tr></table>
Admin
https://drmf-beta.wmflabs.org/index.php?title=Item:Q7711&diff=39761&oldid=prev
Admin: /* wbeditentity-update:0| */ Add constraint
2020-01-02T11:45:31Z
<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 12:45, 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.m2aadec</span></span></ins></div></td></tr></table>
Admin
https://drmf-beta.wmflabs.org/index.php?title=Item:Q7711&diff=39759&oldid=prev
Admin: /* wbeditentity-update:0| */ Add constraint
2020-01-02T11:45:30Z
<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 12:45, 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.m2agdec</span></span></ins></div></td></tr></table>
Admin
https://drmf-beta.wmflabs.org/index.php?title=Item:Q7711&diff=39753&oldid=prev
Admin: /* wbeditentity-update:0| */ Add constraint
2020-01-02T11:45:27Z
<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 12:45, 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.m2agdec</span></span></ins></div></td></tr></table>
Admin
https://drmf-beta.wmflabs.org/index.php?title=Item:Q7711&diff=39746&oldid=prev
Admin: /* wbeditentity-update:0| */ Add constraint
2020-01-02T11:45:25Z
<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 12:45, 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:Q10582" href="/wiki/Item:Q10582">Hurwitz zeta 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:Q10582" href="/wiki/Item:Q10582">Hurwitz zeta 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:Q10582" href="/wiki/Item:Q10582">Hurwitz zeta 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\zeta\left(\NVar{s},\NVar{a}\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">ζ</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>
<mrow id="p1.1.m1.1.1.5" xref="p1.1.m1.1.1.5.cmml">
<merror class="ltx_ERROR undefined undefined" id="p1.1.m1.1.1.5.1" xref="p1.1.m1.1.1.5.1b.cmml">
<mtext id="p1.1.m1.1.1.5.1a" xref="p1.1.m1.1.1.5.1b.cmml">\NVar</mtext>
</merror>
<mo id="p1.1.m1.1.1.5.3" xref="p1.1.m1.1.1.5.3.cmml">â¢</mo>
<mi id="p1.1.m1.1.1.5.2" xref="p1.1.m1.1.1.5.2.cmml">s</mi>
</mrow>
<mo id="p1.1.m1.1.1.6" xref="p1.1.m1.1.1.1.cmml">,</mo>
<mrow id="p1.1.m1.1.1.7" xref="p1.1.m1.1.1.7.cmml">
<merror class="ltx_ERROR undefined undefined" id="p1.1.m1.1.1.7.1" xref="p1.1.m1.1.1.7.1b.cmml">
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<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\zeta\left(\NVar{s},\NVar{a}\right)}}</annotation>
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</math></span><img src="/index.php?title=Special:MathShowImage&hash=6ac24095bf0d9fe30661d08d9daf7b50&mode=latexml" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -1.838ex; height: 4.843ex; width: 22.665ex;" alt="{\displaystyle \Hurwitzzeta@{\NVar{s}}{\NVar{a}}}"></span></h4><div class="wb-details wb-math-details"><code>\Hurwitzzeta@{\NVar{s}}{\NVar{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:Q10582" href="/wiki/Item:Q10582">Hurwitz zeta 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">C25.S11.E1.m2aakdec</span></span></ins></div></td></tr></table>
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