https://wiki.tiffa.net/w/index.php?action=history&feed=atom&title=Item%3AQ8291 2026-04-19T15:12:56Z Revision history for this page on the wiki MediaWiki 1.43.0 https://wiki.tiffa.net/w/index.php?title=Item:Q8291&diff=38163&oldid=prev 2023-05-03T08:38:43Z

<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>: \bigcup_{i = 1}^n A_i = \{x \mid x \in A_1 \lor \ldots \lor x \in A_n\}</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 17:38, 3 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 \bigcup _{i=1}^{n}A_{i}=\{x\mid x\in A_{1}\lor \ldots \lor x\in A_{n}\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munderover> <mo>&#x22C3;<!-- ⋃ --></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> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>=</mo> <mo fence="false" stretchy="false">{</mo> <mi>x</mi> <mo>&#x2223;<!-- ∣ --></mo> <mi>x</mi> <mo>&#x2208;<!-- ∈ --></mo> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>&#x2228;<!-- ∨ --></mo> <mo>&#x2026;<!-- … --></mo> <mo>&#x2228;<!-- ∨ --></mo> <mi>x</mi> <mo>&#x2208;<!-- ∈ --></mo> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \bigcup _{i=1}^{n}A_{i}=\{x\mid x\in A_{1}\lor \ldots \lor x\in A_{n}\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/422b396f8f1f90514e6a0b5c6b065d9a15531d54" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:36.276ex; height:6.843ex;" alt="{\displaystyle \bigcup _{i=1}^{n}A_{i}=\{x\mid x\in A_{1}\lor \ldots \lor x\in A_{n}\}}"></span></h4><div class="wb-details wb-math-details"><code>\bigcup_{i = 1}^n A_i = \{x \mid x \in A_1 \lor \ldots \lor x \in A_n\}</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 \bigcup _{i=1}^{n}A_{i}=\{x\mid x\in A_{1}\lor \ldots \lor x\in A_{n}\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munderover> <mo>&#x22C3;<!-- ⋃ --></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> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>=</mo> <mo fence="false" stretchy="false">{</mo> <mi>x</mi> <mo>&#x2223;<!-- ∣ --></mo> <mi>x</mi> <mo>&#x2208;<!-- ∈ --></mo> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>&#x2228;<!-- ∨ --></mo> <mo>&#x2026;<!-- … --></mo> <mo>&#x2228;<!-- ∨ --></mo> <mi>x</mi> <mo>&#x2208;<!-- ∈ --></mo> <msub> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \bigcup _{i=1}^{n}A_{i}=\{x\mid x\in A_{1}\lor \ldots \lor x\in A_{n}\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/422b396f8f1f90514e6a0b5c6b065d9a15531d54" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:36.276ex; height:6.843ex;" alt="{\displaystyle \bigcup _{i=1}^{n}A_{i}=\{x\mid x\in A_{1}\lor \ldots \lor x\in A_{n}\}}"></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:Q8291&diff=38162&oldid=prev 2023-05-03T08:38:33Z

<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:Q6368" title="‎set operation‎ | ‎operation in set theory‎"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">set operation</span> <span class="wb-itemlink-id">(Q6368)</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 17:38, 3 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:Q6368" href="/wiki/Item:Q6368">set 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:P1" href="/wiki/Property:P1">subclass of</a>: <a title="Item:Q6368" href="/wiki/Item:Q6368">set 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:Q8291&diff=38161&oldid=prev 2023-05-03T08:38:23Z

<p>‎<span dir="auto"><span class="autocomment">Created a new Item: </span></span> union of several sets</p> <a href="https://wiki.tiffa.net/w/index.php?title=Item:Q8291&amp;diff=38161">Show changes</a>

Fire