https://wiki.tiffa.net/w/index.php?action=history&feed=atom&title=Item%3AQ6402 2026-04-18T23:50:12Z Revision history for this page on the wiki MediaWiki 1.43.0 https://wiki.tiffa.net/w/index.php?title=Item:Q6402&diff=29358&oldid=prev 2023-04-06T10:08:00Z

<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>: Q = \{x \in k^n \mid x^T A x + 2 b^T x + c = 0 \}</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 19:08, 6 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 Q=\{x\in k^{n}\mid x^{T}Ax+2b^{T}x+c=0\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Q</mi> <mo>=</mo> <mo fence="false" stretchy="false">{</mo> <mi>x</mi> <mo>&#x2208;<!-- ∈ --></mo> <msup> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <mo>&#x2223;<!-- ∣ --></mo> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>T</mi> </mrow> </msup> <mi>A</mi> <mi>x</mi> <mo>+</mo> <mn>2</mn> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>T</mi> </mrow> </msup> <mi>x</mi> <mo>+</mo> <mi>c</mi> <mo>=</mo> <mn>0</mn> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Q=\{x\in k^{n}\mid x^{T}Ax+2b^{T}x+c=0\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9df5aed311c74adb034bf095a2e51edc52f7d2de" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:37.418ex; height:3.176ex;" alt="{\displaystyle Q=\{x\in k^{n}\mid x^{T}Ax+2b^{T}x+c=0\}}"></span></h4><div class="wb-details wb-math-details"><code>Q = \{x \in k^n \mid x^T A x + 2 b^T x + c = 0 \}</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 Q=\{x\in k^{n}\mid x^{T}Ax+2b^{T}x+c=0\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Q</mi> <mo>=</mo> <mo fence="false" stretchy="false">{</mo> <mi>x</mi> <mo>&#x2208;<!-- ∈ --></mo> <msup> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <mo>&#x2223;<!-- ∣ --></mo> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>T</mi> </mrow> </msup> <mi>A</mi> <mi>x</mi> <mo>+</mo> <mn>2</mn> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>T</mi> </mrow> </msup> <mi>x</mi> <mo>+</mo> <mi>c</mi> <mo>=</mo> <mn>0</mn> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Q=\{x\in k^{n}\mid x^{T}Ax+2b^{T}x+c=0\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9df5aed311c74adb034bf095a2e51edc52f7d2de" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:37.418ex; height:3.176ex;" alt="{\displaystyle Q=\{x\in k^{n}\mid x^{T}Ax+2b^{T}x+c=0\}}"></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:Q6402&diff=29357&oldid=prev 2023-04-06T10:07:46Z

<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:Q6403" title="‎hypersurface‎ | ‎generalization of the concepts of hyperplane, plane curve, and surface; a manifold or an algebraic variety of dimension n, which is embedded in an ambient space of dimension n+1‎"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">hypersurface</span> <span class="wb-itemlink-id">(Q6403)</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 19:07, 6 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:Q6403" href="/wiki/Item:Q6403">hypersurface</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:Q6403" href="/wiki/Item:Q6403">hypersurface</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:Q6402&diff=29342&oldid=prev 2023-04-06T10:04:03Z

<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:Q1363" title="‎algebraic variety‎ | ‎mathematical object studied in the field of algebraic geometry‎"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">algebraic variety</span> <span class="wb-itemlink-id">(Q1363)</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 19:04, 6 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:Q1363" href="/wiki/Item:Q1363">algebraic variety</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:Q1363" href="/wiki/Item:Q1363">algebraic variety</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:Q6402&diff=29341&oldid=prev 2023-04-06T10:03:52Z

<p>‎<span dir="auto"><span class="autocomment">Created a new Item: </span></span> quadric, locus of zeros of a quadratic polynomial (affine or projective, not necessarily real)</p> <a href="https://wiki.tiffa.net/w/index.php?title=Item:Q6402&amp;diff=29341">Show changes</a>

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