https://wiki.tiffa.net/w/index.php?action=history&feed=atom&title=Item%3AQ6157 2026-04-20T19:38:24Z Revision history for this page on the wiki MediaWiki 1.43.0 https://wiki.tiffa.net/w/index.php?title=Item:Q6157&diff=28187&oldid=prev 2023-03-31T10:51:34Z

<p>‎<span dir="auto"><span class="autocomment">Created claim: </span></span> <a href="/wiki/Property:P333" title="‎defining formula‎ | ‎mathematical formula representing a theorem or law. Maximum length: 400 characters‎"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">defining formula</span> <span class="wb-itemlink-id">(P333)</span></span></a>: {^{n}a} = \begin{cases} 1, &amp;n=0 \\ a^{\left[^{(n-1)}a\right]}, &amp;n&gt;0 \end{cases}</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 19:51, 31 March 2023</td> </tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P333" href="/wiki/Property:P333">defining formula</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><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" alttext="{\displaystyle {^{n}a}={\begin{cases}1,&amp;n=0\\a^{\left[^{(n-1)}a\right]},&amp;n&gt;0\end{cases}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msup> <mi></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <mi>a</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>{</mo> <mtable columnalign="left left" rowspacing=".2em" columnspacing="1em" displaystyle="false"> <mtr> <mtd> <mn>1</mn> <mo>,</mo> </mtd> <mtd> <mi>n</mi> <mo>=</mo> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mrow> <msup> <mi></mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </msup> <mi>a</mi> </mrow> <mo>]</mo> </mrow> </mrow> </msup> <mo>,</mo> </mtd> <mtd> <mi>n</mi> <mo>&gt;</mo> <mn>0</mn> </mtd> </mtr> </mtable> <mo fence="true" stretchy="true" symmetric="true"></mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {^{n}a}={\begin{cases}1,&amp;n=0\\a^{\left[^{(n-1)}a\right]},&amp;n&gt;0\end{cases}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/54d885d585ace75990d2d1b5f0c124ec16d8fa3f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:24.389ex; height:7.509ex;" alt="{\displaystyle {^{n}a}={\begin{cases}1,&amp;n=0\\a^{\left[^{(n-1)}a\right]},&amp;n&gt;0\end{cases}}}"></span></h4><div class="wb-details wb-math-details"><code>{^{n}a} = \begin{cases} 1, &amp;n=0 \\ a^{\left[^{(n-1)}a\right]}, &amp;n>0 \end{cases}</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:P333" href="/wiki/Property:P333">defining formula</a>: <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" alttext="{\displaystyle {^{n}a}={\begin{cases}1,&amp;n=0\\a^{\left[^{(n-1)}a\right]},&amp;n&gt;0\end{cases}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msup> <mi></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <mi>a</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>{</mo> <mtable columnalign="left left" rowspacing=".2em" columnspacing="1em" displaystyle="false"> <mtr> <mtd> <mn>1</mn> <mo>,</mo> </mtd> <mtd> <mi>n</mi> <mo>=</mo> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mrow> <msup> <mi></mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </msup> <mi>a</mi> </mrow> <mo>]</mo> </mrow> </mrow> </msup> <mo>,</mo> </mtd> <mtd> <mi>n</mi> <mo>&gt;</mo> <mn>0</mn> </mtd> </mtr> </mtable> <mo fence="true" stretchy="true" symmetric="true"></mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {^{n}a}={\begin{cases}1,&amp;n=0\\a^{\left[^{(n-1)}a\right]},&amp;n&gt;0\end{cases}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/54d885d585ace75990d2d1b5f0c124ec16d8fa3f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:24.389ex; height:7.509ex;" alt="{\displaystyle {^{n}a}={\begin{cases}1,&amp;n=0\\a^{\left[^{(n-1)}a\right]},&amp;n&gt;0\end{cases}}}"></span> / 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></table>

Fire https://wiki.tiffa.net/w/index.php?title=Item:Q6157&diff=28186&oldid=prev 2023-03-31T10:51:18Z

<p>‎<span dir="auto"><span class="autocomment">Created claim: </span></span> <a href="/wiki/Property:P2" title="‎instance of‎ | ‎that class of which this subject is a particular example and member; different from P1 (subclass of); for example: K2 is an instance of mountain; volcano is a subclass of mountain (and an instance of volcanic landform)‎"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">instance of</span> <span class="wb-itemlink-id">(P2)</span></span></a>: <a href="/wiki/Item:Q1243" title="‎binary operation‎ | ‎mathematical operation that combines two elements to produce another element‎"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">binary operation</span> <span class="wb-itemlink-id">(Q1243)</span></span></a></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 19:51, 31 March 2023</td> </tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P2" href="/wiki/Property:P2">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:Q1243" href="/wiki/Item:Q1243">binary operation</a></span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P2" href="/wiki/Property:P2">instance of</a>: <a title="Item:Q1243" href="/wiki/Item:Q1243">binary operation</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></table>

Fire https://wiki.tiffa.net/w/index.php?title=Item:Q6157&diff=28185&oldid=prev 2023-03-31T10:51:08Z

<p>‎<span dir="auto"><span class="autocomment">Changed claim: </span></span> <a href="/wiki/Property:P2" title="‎instance of‎ | ‎that class of which this subject is a particular example and member; different from P1 (subclass of); for example: K2 is an instance of mountain; volcano is a subclass of mountain (and an instance of volcanic landform)‎"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">instance of</span> <span class="wb-itemlink-id">(P2)</span></span></a>: <a href="/wiki/Item:Q1471" title="‎hyperoperation‎ | ‎generalization of addition, multiplication, exponentiation, tetration, etc.‎"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">hyperoperation</span> <span class="wb-itemlink-id">(Q1471)</span></span></a></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 19:51, 31 March 2023</td> </tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P2" href="/wiki/Property:P2">instance of</a>: <a title="Item:Q1471" href="/wiki/Item:Q1471">hyperoperation</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:P25" href="/wiki/Property:P25">followed by</a>: <a title="Item:Q6158" href="/wiki/Item:Q6158">pentation</a></span></ins></div></td></tr></table>

Fire https://wiki.tiffa.net/w/index.php?title=Item:Q6157&diff=28181&oldid=prev 2023-03-31T10:50:05Z

<p>‎<span dir="auto"><span class="autocomment">Created claim: </span></span> <a href="/wiki/Property:P2" title="‎instance of‎ | ‎that class of which this subject is a particular example and member; different from P1 (subclass of); for example: K2 is an instance of mountain; volcano is a subclass of mountain (and an instance of volcanic landform)‎"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">instance of</span> <span class="wb-itemlink-id">(P2)</span></span></a>: <a href="/wiki/Item:Q1471" title="‎hyperoperation‎ | ‎generalization of addition, multiplication, exponentiation, tetration, etc.‎"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">hyperoperation</span> <span class="wb-itemlink-id">(Q1471)</span></span></a></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 19:50, 31 March 2023</td> </tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P2" href="/wiki/Property:P2">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:Q1471" href="/wiki/Item:Q1471">hyperoperation</a></span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P2" href="/wiki/Property:P2">instance of</a>: <a title="Item:Q1471" href="/wiki/Item:Q1471">hyperoperation</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:P2" href="/wiki/Property:P2">instance of</a>: <a title="Item:Q1471" href="/wiki/Item:Q1471">hyperoperation</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:P6" href="/wiki/Property:P6">series ordinal</a>: 4</span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P2" href="/wiki/Property:P2">instance of</a>: <a title="Item:Q1471" href="/wiki/Item:Q1471">hyperoperation</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:P43" href="/wiki/Property:P43">follows</a>: <a title="Item:Q6156" href="/wiki/Item:Q6156">exponentiation</a></span></ins></div></td></tr></table>

Fire https://wiki.tiffa.net/w/index.php?title=Item:Q6157&diff=28180&oldid=prev 2023-03-31T10:49:38Z

<p>‎<span dir="auto"><span class="autocomment">Created a new Item: </span></span> tetration, repeated or iterated exponentiation</p> <a href="https://wiki.tiffa.net/w/index.php?title=Item:Q6157&amp;diff=28180">Show changes</a>

Fire