File:Nested set V4.svg
Summary
<a href="https://en.wikipedia.org/wiki/Hereditarily_finite_set" class="extiw" title="w:Hereditarily finite set">V4</a> = <a href="https://en.wikipedia.org/wiki/power_set" class="extiw" title="w:power set">P</a>^4(<a href="https://en.wikipedia.org/wiki/empty_set" class="extiw" title="w:empty set">{}</a>) = <a href="https://en.wikipedia.org/wiki/power_set" class="extiw" title="w:power set">P</a>( <a href="https://en.wikipedia.org/wiki/power_set" class="extiw" title="w:power set">P</a>( <a href="https://en.wikipedia.org/wiki/power_set" class="extiw" title="w:power set">P</a>(<a href="https://en.wikipedia.org/wiki/power_set" class="extiw" title="w:power set">P</a>(<a href="https://en.wikipedia.org/wiki/empty_set" class="extiw" title="w:empty set">{}</a>)))) is the <a href="https://en.wikipedia.org/wiki/power_set" class="extiw" title="w:power set">powerset</a> of the <a href="https://en.wikipedia.org/wiki/power_set" class="extiw" title="w:power set">power set</a> of the <a href="https://en.wikipedia.org/wiki/power_set" class="extiw" title="w:power set">power set</a> of the <a href="https://en.wikipedia.org/wiki/power_set" class="extiw" title="w:power set">power set</a> of the <a href="https://en.wikipedia.org/wiki/empty_set" class="extiw" title="w:empty set">empty set</a>.
Compare: <a href="//commons.wikimedia.org/wiki/File:Elements_of_P%5E4(empty_set)_in_Hasse_diagram.svg" class="mw-redirect" title="File:Elements of P^4(empty set) in Hasse diagram.svg">File:Elements of P^4(empty set) in Hasse diagram.svg</a>
The number of rings in the representation of each number is described by <a href="https://en.wikipedia.org/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="Sloane's"><img alt="Sloane's" src="https://upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/11px-OEISicon_light.svg.png" width="11" height="15" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/17px-OEISicon_light.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/22px-OEISicon_light.svg.png 2x" data-file-width="409" data-file-height="556"></a> <a href="//oeis.org/A116549" class="extiw" title="oeis:A116549">A116549</a>.
How about a Herp within a Derp? - We need to go derper. <a rel="nofollow" class="external text" href="http://memerial.net/1733-how-about-a-herp-within-a-derp">☠</a>
Licensing
Lua error in package.lua at line 80: module 'strict' not found.
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 03:54, 14 January 2017 | | 853 × 266 (114 KB) | 127.0.0.1 (talk) | <div class="floatright"><a href="https://en.wikiversity.org/wiki/User:Lipedia/hat#Reverse_binary" title="The subsets of V_4 are numbered in reverse binary order."><img alt="The subsets of V_4 are numbered in reverse binary order." src="https://upload.wikimedia.org/wikipedia/commons/thumb/4/47/Reverse_binary.svg/100px-Reverse_binary.svg.png" width="100" height="179" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/4/47/Reverse_binary.svg/150px-Reverse_binary.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/4/47/Reverse_binary.svg/200px-Reverse_binary.svg.png 2x" data-file-width="819" data-file-height="1467"></a></div> <p><a href="https://en.wikipedia.org/wiki/Hereditarily_finite_set" class="extiw" title="w:Hereditarily finite set">V<sub>4</sub></a> = <a href="https://en.wikipedia.org/wiki/power_set" class="extiw" title="w:power set">P</a>^4(<a href="https://en.wikipedia.org/wiki/empty_set" class="extiw" title="w:empty set">{}</a>) = <a href="https://en.wikipedia.org/wiki/power_set" class="extiw" title="w:power set">P</a>( <a href="https://en.wikipedia.org/wiki/power_set" class="extiw" title="w:power set">P</a>( <a href="https://en.wikipedia.org/wiki/power_set" class="extiw" title="w:power set">P</a>(<a href="https://en.wikipedia.org/wiki/power_set" class="extiw" title="w:power set">P</a>(<a href="https://en.wikipedia.org/wiki/empty_set" class="extiw" title="w:empty set">{}</a>)))) is the <a href="https://en.wikipedia.org/wiki/power_set" class="extiw" title="w:power set">powerset</a> of the <a href="https://en.wikipedia.org/wiki/power_set" class="extiw" title="w:power set">power set</a> of the <a href="https://en.wikipedia.org/wiki/power_set" class="extiw" title="w:power set">power set</a> of the <a href="https://en.wikipedia.org/wiki/power_set" class="extiw" title="w:power set">power set</a> of the <a href="https://en.wikipedia.org/wiki/empty_set" class="extiw" title="w:empty set">empty set</a>. </p> <p>Compare: <a href="//commons.wikimedia.org/wiki/File:Elements_of_P%5E4(empty_set)_in_Hasse_diagram.svg" class="mw-redirect" title="File:Elements of P^4(empty set) in Hasse diagram.svg">File:Elements of P^4(empty set) in Hasse diagram.svg</a> </p> <p>The number of rings in the representation of each number is described by <span style="white-space:nowrap"><a href="https://en.wikipedia.org/wiki/On-Line_Encyclopedia_of_Integer_Sequences" title="Sloane's"><img alt="Sloane's" src="https://upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/11px-OEISicon_light.svg.png" width="11" height="15" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/17px-OEISicon_light.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/22px-OEISicon_light.svg.png 2x" data-file-width="409" data-file-height="556"></a> <a href="//oeis.org/A116549" class="extiw" title="oeis:A116549">A116549</a></span>. </p> <p><br></p> <p><br> How about a Herp within a Derp? - We need to go derper. <big><big><big><big><a rel="nofollow" class="external text" href="http://memerial.net/1733-how-about-a-herp-within-a-derp">☠</a></big></big></big></big> </p> |
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