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	<id>https://wiki.tiffa.net/w/index.php?action=history&amp;feed=atom&amp;title=Item%3AQ5516</id>
	<title>Item:Q5516 - Revision history</title>
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	<updated>2026-04-20T02:16:07Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://wiki.tiffa.net/w/index.php?title=Item:Q5516&amp;diff=25686&amp;oldid=prev</id>
		<title>Fire: /* wbsetclaim-create:2||1 */ Property:P333: \mathbb P^n_K = \operatorname{Proj}K[x_0,x_1,\dotsc,x_n]</title>
		<link rel="alternate" type="text/html" href="https://wiki.tiffa.net/w/index.php?title=Item:Q5516&amp;diff=25686&amp;oldid=prev"/>
		<updated>2023-03-25T10:43:38Z</updated>

		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Created claim: &lt;/span&gt;&lt;/span&gt; &lt;a href=&quot;/wiki/Property:P333&quot; title=&quot;‎defining formula‎ | ‎mathematical formula representing a theorem or law. Maximum length: 400 characters‎&quot;&gt;&lt;span class=&quot;wb-itemlink&quot;&gt;&lt;span class=&quot;wb-itemlink-label&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;defining formula&lt;/span&gt; &lt;span class=&quot;wb-itemlink-id&quot;&gt;(P333)&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;: \mathbb P^n_K = \operatorname{Proj}K[x_0,x_1,\dotsc,x_n]&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 19:43, 25 March 2023&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P333&quot; href=&quot;/wiki/Property:P333&quot;&gt;defining formula&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;span&gt;&lt;h4 class=&quot;wb-details wb-math-details wb-math-rendered&quot;&gt;&lt;span class=&quot;mwe-math-element&quot;&gt;&lt;span class=&quot;mwe-math-mathml-inline mwe-math-mathml-a11y&quot; style=&quot;display: none;&quot;&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;  alttext=&quot;{\displaystyle \mathbb {P} _{K}^{n}=\operatorname {Proj} K[x_{0},x_{1},\dotsc ,x_{n}]}&quot;&gt;
  &lt;semantics&gt;
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            &lt;mi&gt;K&lt;/mi&gt;
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            &lt;mi&gt;n&lt;/mi&gt;
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        &lt;mo&gt;=&lt;/mo&gt;
        &lt;mi&gt;Proj&lt;/mi&gt;
        &lt;mo&gt;&amp;#x2061;&lt;!-- ⁡ --&gt;&lt;/mo&gt;
        &lt;mi&gt;K&lt;/mi&gt;
        &lt;mo stretchy=&quot;false&quot;&gt;[&lt;/mo&gt;
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          &lt;mi&gt;x&lt;/mi&gt;
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            &lt;mn&gt;0&lt;/mn&gt;
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        &lt;mo&gt;,&lt;/mo&gt;
        &lt;mo&gt;&amp;#x2026;&lt;!-- … --&gt;&lt;/mo&gt;
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          &lt;mi&gt;x&lt;/mi&gt;
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        &lt;mo stretchy=&quot;false&quot;&gt;]&lt;/mo&gt;
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    &lt;annotation encoding=&quot;application/x-tex&quot;&gt;{\displaystyle \mathbb {P} _{K}^{n}=\operatorname {Proj} K[x_{0},x_{1},\dotsc ,x_{n}]}&lt;/annotation&gt;
  &lt;/semantics&gt;
&lt;/math&gt;&lt;/span&gt;&lt;img src=&quot;https://wikimedia.org/api/rest_v1/media/math/render/svg/af59c66a8d8443337b2a8dafe8f7c90de5df415f&quot; class=&quot;mwe-math-fallback-image-inline mw-invert skin-invert&quot; aria-hidden=&quot;true&quot; style=&quot;vertical-align: -0.838ex; width:27.855ex; height:2.843ex;&quot; alt=&quot;{\displaystyle \mathbb {P} _{K}^{n}=\operatorname {Proj} K[x_{0},x_{1},\dotsc ,x_{n}]}&quot;&gt;&lt;/span&gt;&lt;/h4&gt;&lt;div class=&quot;wb-details wb-math-details&quot;&gt;&lt;code&gt;\mathbb P^n_K = \operatorname{Proj}K[x_0,x_1,\dotsc,x_n]&lt;/code&gt;&lt;/div&gt;&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P333&quot; href=&quot;/wiki/Property:P333&quot;&gt;defining formula&lt;/a&gt;: &lt;span class=&quot;mwe-math-element&quot;&gt;&lt;span class=&quot;mwe-math-mathml-inline mwe-math-mathml-a11y&quot; style=&quot;display: none;&quot;&gt;&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;  alttext=&quot;{\displaystyle \mathbb {P} _{K}^{n}=\operatorname {Proj} K[x_{0},x_{1},\dotsc ,x_{n}]}&quot;&gt;
  &lt;semantics&gt;
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            &lt;mi mathvariant=&quot;double-struck&quot;&gt;P&lt;/mi&gt;
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            &lt;mi&gt;K&lt;/mi&gt;
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          &lt;mrow class=&quot;MJX-TeXAtom-ORD&quot;&gt;
            &lt;mi&gt;n&lt;/mi&gt;
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        &lt;mo&gt;=&lt;/mo&gt;
        &lt;mi&gt;Proj&lt;/mi&gt;
        &lt;mo&gt;&amp;#x2061;&lt;!-- ⁡ --&gt;&lt;/mo&gt;
        &lt;mi&gt;K&lt;/mi&gt;
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        &lt;mo&gt;&amp;#x2026;&lt;!-- … --&gt;&lt;/mo&gt;
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          &lt;mi&gt;x&lt;/mi&gt;
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            &lt;mi&gt;n&lt;/mi&gt;
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        &lt;mo stretchy=&quot;false&quot;&gt;]&lt;/mo&gt;
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    &lt;annotation encoding=&quot;application/x-tex&quot;&gt;{\displaystyle \mathbb {P} _{K}^{n}=\operatorname {Proj} K[x_{0},x_{1},\dotsc ,x_{n}]}&lt;/annotation&gt;
  &lt;/semantics&gt;
&lt;/math&gt;&lt;/span&gt;&lt;img src=&quot;https://wikimedia.org/api/rest_v1/media/math/render/svg/af59c66a8d8443337b2a8dafe8f7c90de5df415f&quot; class=&quot;mwe-math-fallback-image-inline mw-invert skin-invert&quot; aria-hidden=&quot;true&quot; style=&quot;vertical-align: -0.838ex; width:27.855ex; height:2.843ex;&quot; alt=&quot;{\displaystyle \mathbb {P} _{K}^{n}=\operatorname {Proj} K[x_{0},x_{1},\dotsc ,x_{n}]}&quot;&gt;&lt;/span&gt; / rank&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;span&gt;Normal rank&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Fire</name></author>
	</entry>
	<entry>
		<id>https://wiki.tiffa.net/w/index.php?title=Item:Q5516&amp;diff=25685&amp;oldid=prev</id>
		<title>Fire: /* wbsetclaim-create:2||1 */ Property:P1: Item:Q5563</title>
		<link rel="alternate" type="text/html" href="https://wiki.tiffa.net/w/index.php?title=Item:Q5516&amp;diff=25685&amp;oldid=prev"/>
		<updated>2023-03-25T10:43:23Z</updated>

		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Created claim: &lt;/span&gt;&lt;/span&gt; &lt;a href=&quot;/wiki/Property:P1&quot; title=&quot;‎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).‎&quot;&gt;&lt;span class=&quot;wb-itemlink&quot;&gt;&lt;span class=&quot;wb-itemlink-label&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;subclass of&lt;/span&gt; &lt;span class=&quot;wb-itemlink-id&quot;&gt;(P1)&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;: &lt;a href=&quot;/wiki/Item:Q5563&quot; title=&quot;‎projectivization‎ | ‎Mathematics procedure‎&quot;&gt;&lt;span class=&quot;wb-itemlink&quot;&gt;&lt;span class=&quot;wb-itemlink-label&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;projectivization&lt;/span&gt; &lt;span class=&quot;wb-itemlink-id&quot;&gt;(Q5563)&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 19:43, 25 March 2023&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P1&quot; href=&quot;/wiki/Property:P1&quot;&gt;subclass of&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;span&gt;&lt;a title=&quot;Item:Q5563&quot; href=&quot;/wiki/Item:Q5563&quot;&gt;projectivization&lt;/a&gt;&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P1&quot; href=&quot;/wiki/Property:P1&quot;&gt;subclass of&lt;/a&gt;: &lt;a title=&quot;Item:Q5563&quot; href=&quot;/wiki/Item:Q5563&quot;&gt;projectivization&lt;/a&gt; / rank&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;span&gt;Normal rank&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P1&quot; href=&quot;/wiki/Property:P1&quot;&gt;subclass of&lt;/a&gt;: &lt;a title=&quot;Item:Q5563&quot; href=&quot;/wiki/Item:Q5563&quot;&gt;projectivization&lt;/a&gt; / qualifier&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;span&gt;&lt;a title=&quot;Property:P13&quot; href=&quot;/wiki/Property:P13&quot;&gt;of&lt;/a&gt;: &lt;a title=&quot;Item:Q626&quot; href=&quot;/wiki/Item:Q626&quot;&gt;vector space&lt;/a&gt;&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Fire</name></author>
	</entry>
	<entry>
		<id>https://wiki.tiffa.net/w/index.php?title=Item:Q5516&amp;diff=25682&amp;oldid=prev</id>
		<title>Fire: /* wbsetclaim-create:2||1 */ Property:P1: Item:Q5560</title>
		<link rel="alternate" type="text/html" href="https://wiki.tiffa.net/w/index.php?title=Item:Q5516&amp;diff=25682&amp;oldid=prev"/>
		<updated>2023-03-25T10:42:24Z</updated>

		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Created claim: &lt;/span&gt;&lt;/span&gt; &lt;a href=&quot;/wiki/Property:P1&quot; title=&quot;‎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).‎&quot;&gt;&lt;span class=&quot;wb-itemlink&quot;&gt;&lt;span class=&quot;wb-itemlink-label&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;subclass of&lt;/span&gt; &lt;span class=&quot;wb-itemlink-id&quot;&gt;(P1)&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;: &lt;a href=&quot;/wiki/Item:Q5560&quot; title=&quot;‎projective variety‎ | ‎algebraic variety defined within a projective space‎&quot;&gt;&lt;span class=&quot;wb-itemlink&quot;&gt;&lt;span class=&quot;wb-itemlink-label&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;projective variety&lt;/span&gt; &lt;span class=&quot;wb-itemlink-id&quot;&gt;(Q5560)&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 19:42, 25 March 2023&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P1&quot; href=&quot;/wiki/Property:P1&quot;&gt;subclass of&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;span&gt;&lt;a title=&quot;Item:Q5560&quot; href=&quot;/wiki/Item:Q5560&quot;&gt;projective variety&lt;/a&gt;&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P1&quot; href=&quot;/wiki/Property:P1&quot;&gt;subclass of&lt;/a&gt;: &lt;a title=&quot;Item:Q5560&quot; href=&quot;/wiki/Item:Q5560&quot;&gt;projective variety&lt;/a&gt; / rank&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;span&gt;Normal rank&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Fire</name></author>
	</entry>
	<entry>
		<id>https://wiki.tiffa.net/w/index.php?title=Item:Q5516&amp;diff=25672&amp;oldid=prev</id>
		<title>Fire: /* wbsetclaim-create:2||1 */ Property:P1: Item:Q5530</title>
		<link rel="alternate" type="text/html" href="https://wiki.tiffa.net/w/index.php?title=Item:Q5516&amp;diff=25672&amp;oldid=prev"/>
		<updated>2023-03-25T10:39:45Z</updated>

		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Created claim: &lt;/span&gt;&lt;/span&gt; &lt;a href=&quot;/wiki/Property:P1&quot; title=&quot;‎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).‎&quot;&gt;&lt;span class=&quot;wb-itemlink&quot;&gt;&lt;span class=&quot;wb-itemlink-label&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;subclass of&lt;/span&gt; &lt;span class=&quot;wb-itemlink-id&quot;&gt;(P1)&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;: &lt;a href=&quot;/wiki/Item:Q5530&quot; title=&quot;‎Proj construction‎ | ‎scheme constructed from a commutative graded ring, whose points correspond to homogeneous prime ideals that do not contain all of positive-degree elements‎&quot;&gt;&lt;span class=&quot;wb-itemlink&quot;&gt;&lt;span class=&quot;wb-itemlink-label&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;Proj construction&lt;/span&gt; &lt;span class=&quot;wb-itemlink-id&quot;&gt;(Q5530)&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 19:39, 25 March 2023&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P1&quot; href=&quot;/wiki/Property:P1&quot;&gt;subclass of&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;span&gt;&lt;a title=&quot;Item:Q5530&quot; href=&quot;/wiki/Item:Q5530&quot;&gt;Proj construction&lt;/a&gt;&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P1&quot; href=&quot;/wiki/Property:P1&quot;&gt;subclass of&lt;/a&gt;: &lt;a title=&quot;Item:Q5530&quot; href=&quot;/wiki/Item:Q5530&quot;&gt;Proj construction&lt;/a&gt; / rank&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;span&gt;Normal rank&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P1&quot; href=&quot;/wiki/Property:P1&quot;&gt;subclass of&lt;/a&gt;: &lt;a title=&quot;Item:Q5530&quot; href=&quot;/wiki/Item:Q5530&quot;&gt;Proj construction&lt;/a&gt; / qualifier&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;span&gt;&lt;a title=&quot;Property:P13&quot; href=&quot;/wiki/Property:P13&quot;&gt;of&lt;/a&gt;: &lt;a title=&quot;Item:Q5533&quot; href=&quot;/wiki/Item:Q5533&quot;&gt;polynomial ring&lt;/a&gt;&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Fire</name></author>
	</entry>
	<entry>
		<id>https://wiki.tiffa.net/w/index.php?title=Item:Q5516&amp;diff=25573&amp;oldid=prev</id>
		<title>Fire: /* wbsetclaim-create:2||1 */ Property:P1: Item:Q5527</title>
		<link rel="alternate" type="text/html" href="https://wiki.tiffa.net/w/index.php?title=Item:Q5516&amp;diff=25573&amp;oldid=prev"/>
		<updated>2023-03-25T10:11:08Z</updated>

		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Created claim: &lt;/span&gt;&lt;/span&gt; &lt;a href=&quot;/wiki/Property:P1&quot; title=&quot;‎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).‎&quot;&gt;&lt;span class=&quot;wb-itemlink&quot;&gt;&lt;span class=&quot;wb-itemlink-label&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;subclass of&lt;/span&gt; &lt;span class=&quot;wb-itemlink-id&quot;&gt;(P1)&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;: &lt;a href=&quot;/wiki/Item:Q5527&quot; title=&quot;‎rational variety‎ | ‎algebraic variety over a field K birationally equivalent to a projective space of some dimension over K‎&quot;&gt;&lt;span class=&quot;wb-itemlink&quot;&gt;&lt;span class=&quot;wb-itemlink-label&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;rational variety&lt;/span&gt; &lt;span class=&quot;wb-itemlink-id&quot;&gt;(Q5527)&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 19:11, 25 March 2023&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P1&quot; href=&quot;/wiki/Property:P1&quot;&gt;subclass of&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;span&gt;&lt;a title=&quot;Item:Q5527&quot; href=&quot;/wiki/Item:Q5527&quot;&gt;rational variety&lt;/a&gt;&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P1&quot; href=&quot;/wiki/Property:P1&quot;&gt;subclass of&lt;/a&gt;: &lt;a title=&quot;Item:Q5527&quot; href=&quot;/wiki/Item:Q5527&quot;&gt;rational variety&lt;/a&gt; / rank&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;span&gt;Normal rank&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Fire</name></author>
	</entry>
	<entry>
		<id>https://wiki.tiffa.net/w/index.php?title=Item:Q5516&amp;diff=25561&amp;oldid=prev</id>
		<title>Fire: /* wbsetclaim-create:2||1 */ Property:P1: Item:Q5518</title>
		<link rel="alternate" type="text/html" href="https://wiki.tiffa.net/w/index.php?title=Item:Q5516&amp;diff=25561&amp;oldid=prev"/>
		<updated>2023-03-25T10:07:26Z</updated>

		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Created claim: &lt;/span&gt;&lt;/span&gt; &lt;a href=&quot;/wiki/Property:P1&quot; title=&quot;‎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).‎&quot;&gt;&lt;span class=&quot;wb-itemlink&quot;&gt;&lt;span class=&quot;wb-itemlink-label&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;subclass of&lt;/span&gt; &lt;span class=&quot;wb-itemlink-id&quot;&gt;(P1)&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;: &lt;a href=&quot;/wiki/Item:Q5518&quot; title=&quot;‎Grassmannian‎ | ‎A space of linear subspaces of a fixed vector space‎&quot;&gt;&lt;span class=&quot;wb-itemlink&quot;&gt;&lt;span class=&quot;wb-itemlink-label&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;Grassmannian&lt;/span&gt; &lt;span class=&quot;wb-itemlink-id&quot;&gt;(Q5518)&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 19:07, 25 March 2023&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P1&quot; href=&quot;/wiki/Property:P1&quot;&gt;subclass of&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;span&gt;&lt;a title=&quot;Item:Q5518&quot; href=&quot;/wiki/Item:Q5518&quot;&gt;Grassmannian&lt;/a&gt;&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P1&quot; href=&quot;/wiki/Property:P1&quot;&gt;subclass of&lt;/a&gt;: &lt;a title=&quot;Item:Q5518&quot; href=&quot;/wiki/Item:Q5518&quot;&gt;Grassmannian&lt;/a&gt; / rank&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;span&gt;Normal rank&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Fire</name></author>
	</entry>
	<entry>
		<id>https://wiki.tiffa.net/w/index.php?title=Item:Q5516&amp;diff=25533&amp;oldid=prev</id>
		<title>Fire: /* wbsetclaim-create:2||1 */ Property:P1: Item:Q5517</title>
		<link rel="alternate" type="text/html" href="https://wiki.tiffa.net/w/index.php?title=Item:Q5516&amp;diff=25533&amp;oldid=prev"/>
		<updated>2023-03-25T09:56:02Z</updated>

		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Created claim: &lt;/span&gt;&lt;/span&gt; &lt;a href=&quot;/wiki/Property:P1&quot; title=&quot;‎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).‎&quot;&gt;&lt;span class=&quot;wb-itemlink&quot;&gt;&lt;span class=&quot;wb-itemlink-label&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;subclass of&lt;/span&gt; &lt;span class=&quot;wb-itemlink-id&quot;&gt;(P1)&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;: &lt;a href=&quot;/wiki/Item:Q5517&quot; title=&quot;‎toric variety‎ | ‎algebraic variety containing an algebraic torus as an open dense subset, such that the action of the torus on itself extends to the whole variety, which can be combinatorially encoded via systems of cones (“fans”) or polytopes‎&quot;&gt;&lt;span class=&quot;wb-itemlink&quot;&gt;&lt;span class=&quot;wb-itemlink-label&quot; lang=&quot;en&quot; dir=&quot;ltr&quot;&gt;toric variety&lt;/span&gt; &lt;span class=&quot;wb-itemlink-id&quot;&gt;(Q5517)&lt;/span&gt;&lt;/span&gt;&lt;/a&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 18:56, 25 March 2023&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P1&quot; href=&quot;/wiki/Property:P1&quot;&gt;subclass of&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;span&gt;&lt;a title=&quot;Item:Q5517&quot; href=&quot;/wiki/Item:Q5517&quot;&gt;toric variety&lt;/a&gt;&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Property / &lt;a title=&quot;Property:P1&quot; href=&quot;/wiki/Property:P1&quot;&gt;subclass of&lt;/a&gt;: &lt;a title=&quot;Item:Q5517&quot; href=&quot;/wiki/Item:Q5517&quot;&gt;toric variety&lt;/a&gt; / rank&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;span&gt;Normal rank&lt;/span&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Fire</name></author>
	</entry>
	<entry>
		<id>https://wiki.tiffa.net/w/index.php?title=Item:Q5516&amp;diff=25530&amp;oldid=prev</id>
		<title>Fire: /* wbeditentity-create:2|en */ projective space, space of 1-dimensional linear subspaces (lines passing through the origin) in a vector space</title>
		<link rel="alternate" type="text/html" href="https://wiki.tiffa.net/w/index.php?title=Item:Q5516&amp;diff=25530&amp;oldid=prev"/>
		<updated>2023-03-25T09:55:11Z</updated>

		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Created a new Item: &lt;/span&gt;&lt;/span&gt; projective space, space of 1-dimensional linear subspaces (lines passing through the origin) in a vector space&lt;/p&gt;
&lt;a href=&quot;https://wiki.tiffa.net/w/index.php?title=Item:Q5516&amp;amp;diff=25530&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Fire</name></author>
	</entry>
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