https://wiki.tiffa.net/w/index.php?action=history&feed=atom&title=Item%3AQ8775 2026-04-19T08:26:44Z Revision history for this page on the wiki MediaWiki 1.43.0 https://wiki.tiffa.net/w/index.php?title=Item:Q8775&diff=40550&oldid=prev 2023-05-13T05:27:00Z

<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>: P_n^r= \frac{3n^2 + n^3(r-2) - n(r-5)}{6}</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 14:27, 13 May 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 P_{n}^{r}={\frac {3n^{2}+n^{3}(r-2)-n(r-5)}{6}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mi>P</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msubsup> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>3</mn> <msup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo stretchy="false">(</mo> <mi>r</mi> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mo stretchy="false">)</mo> <mo>&#x2212;<!-- − --></mo> <mi>n</mi> <mo stretchy="false">(</mo> <mi>r</mi> <mo>&#x2212;<!-- − --></mo> <mn>5</mn> <mo stretchy="false">)</mo> </mrow> <mn>6</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P_{n}^{r}={\frac {3n^{2}+n^{3}(r-2)-n(r-5)}{6}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/67689272a364f5c4eb274266ee87d87b1a0d325c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:33.587ex; height:5.843ex;" alt="{\displaystyle P_{n}^{r}={\frac {3n^{2}+n^{3}(r-2)-n(r-5)}{6}}}"></span></h4><div class="wb-details wb-math-details"><code>P_n^r= \frac{3n^2 + n^3(r-2) - n(r-5)}{6}</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 P_{n}^{r}={\frac {3n^{2}+n^{3}(r-2)-n(r-5)}{6}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mi>P</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msubsup> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>3</mn> <msup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo stretchy="false">(</mo> <mi>r</mi> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mo stretchy="false">)</mo> <mo>&#x2212;<!-- − --></mo> <mi>n</mi> <mo stretchy="false">(</mo> <mi>r</mi> <mo>&#x2212;<!-- − --></mo> <mn>5</mn> <mo stretchy="false">)</mo> </mrow> <mn>6</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P_{n}^{r}={\frac {3n^{2}+n^{3}(r-2)-n(r-5)}{6}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/67689272a364f5c4eb274266ee87d87b1a0d325c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:33.587ex; height:5.843ex;" alt="{\displaystyle P_{n}^{r}={\frac {3n^{2}+n^{3}(r-2)-n(r-5)}{6}}}"></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:Q8775&diff=40549&oldid=prev 2023-05-13T05:26:49Z

<p>‎<span dir="auto"><span class="autocomment">Created claim: </span></span> <a href="/wiki/Property:P1" title="‎subclass of‎ | ‎this item is a subclass (subset) of that item; all instances of these items are instances of those items; different from P2 (instance of), e.g.: 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">subclass of</span> <span class="wb-itemlink-id">(P1)</span></span></a>: <a href="/wiki/Item:Q1201" title="‎figurate number‎ | ‎member of the set of triangular numbers, polygonal numbers, or polyhedral numbers‎"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">figurate number</span> <span class="wb-itemlink-id">(Q1201)</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 14:26, 13 May 2023</td> </tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">subclass 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:Q1201" href="/wiki/Item:Q1201">figurate number</a></span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P1" href="/wiki/Property:P1">subclass of</a>: <a title="Item:Q1201" href="/wiki/Item:Q1201">figurate number</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:Q8775&diff=40548&oldid=prev 2023-05-13T05:26:42Z

<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:Q722" title="‎integer sequence‎ | ‎ordered succession of integers, defined by a formula, recurrence, or property of its members‎"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">integer sequence</span> <span class="wb-itemlink-id">(Q722)</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 14:26, 13 May 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:Q722" href="/wiki/Item:Q722">integer sequence</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:Q722" href="/wiki/Item:Q722">integer sequence</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:Q8775&diff=40547&oldid=prev 2023-05-13T05:26:27Z

<p>‎<span dir="auto"><span class="autocomment">Created a new Item: </span></span> pyramidal number, figurate number</p> <a href="https://wiki.tiffa.net/w/index.php?title=Item:Q8775&amp;diff=40547">Show changes</a>

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