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Item:Q9869 - Revision history
2026-04-18T23:50:20Z
Revision history for this page on the wiki
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https://wiki.tiffa.net/w/index.php?title=Item:Q9869&diff=46219&oldid=prev
Fire: /* wbsetclaim-create:2||1 */ Property:P333: \lim_{x \to \infty}f(x) = L :\iff \forall \epsilon > 0 \exists n_0 \forall n>n_0 : |f(n) - L| < \epsilon
2023-05-27T03:24:42Z
<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>: \lim_{x \to \infty}f(x) = L :\iff \forall \epsilon > 0 \exists n_0 \forall n>n_0 : |f(n) - L| < \epsilon</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:24, 27 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 \lim _{x\to \infty }f(x)=L:\iff \forall \epsilon >0\exists n_{0}\forall n>n_{0}:|f(n)-L|<\epsilon }">
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<annotation encoding="application/x-tex">{\displaystyle \lim _{x\to \infty }f(x)=L:\iff \forall \epsilon >0\exists n_{0}\forall n>n_{0}:|f(n)-L|<\epsilon }</annotation>
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</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/27fb7f55a8b5509dbc9ac1d05d8b7f26af7e8958" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:55.909ex; height:3.843ex;" alt="{\displaystyle \lim _{x\to \infty }f(x)=L:\iff \forall \epsilon >0\exists n_{0}\forall n>n_{0}:|f(n)-L|<\epsilon }"></span></h4><div class="wb-details wb-math-details"><code>\lim_{x \to \infty}f(x) = L :\iff \forall \epsilon > 0 \exists n_0 \forall n>n_0 : |f(n) - L| < \epsilon</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 \lim _{x\to \infty }f(x)=L:\iff \forall \epsilon >0\exists n_{0}\forall n>n_{0}:|f(n)-L|<\epsilon }">
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<annotation encoding="application/x-tex">{\displaystyle \lim _{x\to \infty }f(x)=L:\iff \forall \epsilon >0\exists n_{0}\forall n>n_{0}:|f(n)-L|<\epsilon }</annotation>
</semantics>
</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/27fb7f55a8b5509dbc9ac1d05d8b7f26af7e8958" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:55.909ex; height:3.843ex;" alt="{\displaystyle \lim _{x\to \infty }f(x)=L:\iff \forall \epsilon >0\exists n_{0}\forall n>n_{0}:|f(n)-L|<\epsilon }"></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:Q9869&diff=46218&oldid=prev
Fire: /* wbsetclaim-create:2||1 */ Property:P131: Item:Q140
2023-05-27T03:24:32Z
<p><span dir="auto"><span class="autocomment">Created claim: </span></span> <a href="/wiki/Property:P131" title="field of work | specialization of a person or organization; see P106 for the occupation"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">field of work</span> <span class="wb-itemlink-id">(P131)</span></span></a>: <a href="/wiki/Item:Q140" title="mathematics | field of study"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">mathematics</span> <span class="wb-itemlink-id">(Q140)</span></span></a></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:24, 27 May 2023</td>
</tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P131" href="/wiki/Property:P131">field of work</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:Q140" href="/wiki/Item:Q140">mathematics</a></span></ins></div></td></tr><tr><td colspan="2" class="diff-lineno"></td><td colspan="2" class="diff-lineno">Property / <a title="Property:P131" href="/wiki/Property:P131">field of work</a>: <a title="Item:Q140" href="/wiki/Item:Q140">mathematics</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:Q9869&diff=46217&oldid=prev
Fire: /* wbsetclaim-create:2||1 */ Property:P1: Item:Q1421
2023-05-27T03:24:18Z
<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:Q1421" title="upper and lower bounds | every element of a partially ordered set A which is greater (resp. lower) than every element of a subset B included in A"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">upper and lower bounds</span> <span class="wb-itemlink-id">(Q1421)</span></span></a></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:24, 27 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:Q1421" href="/wiki/Item:Q1421">upper and lower bounds</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:Q1421" href="/wiki/Item:Q1421">upper and lower bounds</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:Q9869&diff=46216&oldid=prev
Fire: /* wbsetclaim-create:2||1 */ Property:P1: Item:Q191
2023-05-27T03:24:12Z
<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:Q191" title="mathematical concept | abstract entity in mathematics"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">mathematical concept</span> <span class="wb-itemlink-id">(Q191)</span></span></a></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:24, 27 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:Q191" href="/wiki/Item:Q191">mathematical concept</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:Q191" href="/wiki/Item:Q191">mathematical concept</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:Q9869&diff=46215&oldid=prev
Fire: /* wbsetclaim-create:2||1 */ Property:P2: Item:Q78
2023-05-27T03:24:03Z
<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:Q78" title="concept | semantic unit understood in different ways, e.g. as mental representation, ability or abstract object (philosophy)"><span class="wb-itemlink"><span class="wb-itemlink-label" lang="en" dir="ltr">concept</span> <span class="wb-itemlink-id">(Q78)</span></span></a></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:24, 27 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:Q78" href="/wiki/Item:Q78">concept</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:Q78" href="/wiki/Item:Q78">concept</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:Q9869&diff=46214&oldid=prev
Fire: /* wbeditentity-create:2|en */ limit, value that a function or sequence "approaches" as the input or index approaches some value
2023-05-27T03:23:54Z
<p><span dir="auto"><span class="autocomment">Created a new Item: </span></span> limit, value that a function or sequence "approaches" as the input or index approaches some value</p>
<a href="https://wiki.tiffa.net/w/index.php?title=Item:Q9869&diff=46214">Show changes</a>
Fire