https://wiki.tiffa.net/w/index.php?action=history&feed=atom&title=Item%3AQ6441 2026-09-06T23:26:20Z Revision history for this page on the wiki MediaWiki 1.43.0 https://wiki.tiffa.net/w/index.php?title=Item:Q6441&diff=29553&oldid=prev 2023-04-06T23:08:39Z

<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>: \left\{(x, y) \in R^2: \sum_{i=1}^n \sqrt{(x-u_i)^2 + (y-v_i)^2} = d\right\}</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 08:08, 7 April 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 \left\{(x,y)\in R^{2}:\sum _{i=1}^{n}{\sqrt {(x-u_{i})^{2}+(y-v_{i})^{2}}}=d\right\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow> <mo>{</mo> <mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mo>&#x2208;<!-- ∈ --></mo> <msup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>:</mo> <munderover> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mo stretchy="false">(</mo> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <msub> <mi>u</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mo stretchy="false">(</mo> <mi>y</mi> <mo>&#x2212;<!-- − --></mo> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mo>=</mo> <mi>d</mi> </mrow> <mo>}</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left\{(x,y)\in R^{2}:\sum _{i=1}^{n}{\sqrt {(x-u_{i})^{2}+(y-v_{i})^{2}}}=d\right\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a72744cc26dbbf97f701fcdc323b33f402e9cd9d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:47.841ex; height:7.509ex;" alt="{\displaystyle \left\{(x,y)\in R^{2}:\sum _{i=1}^{n}{\sqrt {(x-u_{i})^{2}+(y-v_{i})^{2}}}=d\right\}}"></span></h4><div class="wb-details wb-math-details"><code>\left\{(x, y) \in R^2: \sum_{i=1}^n \sqrt{(x-u_i)^2 + (y-v_i)^2} = d\right\}</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 \left\{(x,y)\in R^{2}:\sum _{i=1}^{n}{\sqrt {(x-u_{i})^{2}+(y-v_{i})^{2}}}=d\right\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow> <mo>{</mo> <mrow> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mo>&#x2208;<!-- ∈ --></mo> <msup> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>:</mo> <munderover> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mo stretchy="false">(</mo> <mi>x</mi> <mo>&#x2212;<!-- − --></mo> <msub> <mi>u</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mo stretchy="false">(</mo> <mi>y</mi> <mo>&#x2212;<!-- − --></mo> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mo>=</mo> <mi>d</mi> </mrow> <mo>}</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left\{(x,y)\in R^{2}:\sum _{i=1}^{n}{\sqrt {(x-u_{i})^{2}+(y-v_{i})^{2}}}=d\right\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a72744cc26dbbf97f701fcdc323b33f402e9cd9d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:47.841ex; height:7.509ex;" alt="{\displaystyle \left\{(x,y)\in R^{2}:\sum _{i=1}^{n}{\sqrt {(x-u_{i})^{2}+(y-v_{i})^{2}}}=d\right\}}"></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:Q6441&diff=29552&oldid=prev 2023-04-06T23:08:23Z

<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:Q6443" title="‎spectrahedron‎ | ‎shape that can be represented as a linear matrix inequality‎"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">spectrahedron</span> <span class="wb-itemlink-id">(Q6443)</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 08:08, 7 April 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:Q6443" href="/wiki/Item:Q6443">spectrahedron</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:Q6443" href="/wiki/Item:Q6443">spectrahedron</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:Q6441&diff=29549&oldid=prev 2023-04-06T23:07:23Z

<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:Q6442" title="‎convex curve‎ | ‎Type of plane curve‎"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">convex curve</span> <span class="wb-itemlink-id">(Q6442)</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 08:07, 7 April 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:Q6442" href="/wiki/Item:Q6442">convex curve</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:Q6442" href="/wiki/Item:Q6442">convex curve</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:Q6441&diff=29546&oldid=prev 2023-04-06T23:06:33Z

<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:Q5576" title="‎closed curve‎ | ‎curve whose starting point coincides with its ending point; continuous image of a circle‎"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">closed curve</span> <span class="wb-itemlink-id">(Q5576)</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 08:06, 7 April 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:Q5576" href="/wiki/Item:Q5576">closed curve</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:Q5576" href="/wiki/Item:Q5576">closed curve</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:Q6441&diff=29545&oldid=prev 2023-04-06T23:06:22Z

<p>‎<span dir="auto"><span class="autocomment">Created a new Item: </span></span> n-ellipse, generalization of the ellipse allowing more than two foci</p> <a href="https://wiki.tiffa.net/w/index.php?title=Item:Q6441&amp;diff=29545">Show changes</a>

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