File:ContinuBJK.svg
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Size of this PNG preview of this SVG file: 200 × 440 pixels. Other resolutions: 109 × 240 pixels | 218 × 480 pixels | 272 × 600 pixels | 349 × 768 pixels | 465 × 1,024 pixels | 931 × 2,048 pixels.
Original file (SVG file, nominally 200 × 440 pixels, file size: 3 KB)
Summary
| Description | (du source XML) |
| Date | {2008-07-04 |
| Source | Own work |
| Author | Fool~commonswiki |
| SVG development |  This diagram was created with a text editor. |
Construction du Continu BJK
On va mettre les points de l'ensemble de Cantor sur l'horizontal, et on va joindre ses points par semicercles, comme suit:
- Si x est dans l'ensemble alors (1-x) l'est aussi. Un arc les joindra par dessus. - Si x est dans l'ensemble, et x n'est par 0, alors il y a un n tel que 2/(3^n) <= x <= 3/(3^n). (5/(3^n) - x) est aussi dans l'ensemble et se trouve aussi entre les mêmes limites. Un arc les joindra par dessous.
Donc on commence 0 (dessus) 1 (dessous) 2/3 (dessus) 1/3 (dessous) 2/9 (dessus) 7/9 (dessous) 8/9 (dessus) 1/9 (dessous) 2/27 et cetera.
Licensing
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I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 02:01, 21 May 2020 | | 200 × 440 (3 KB) | Kevin Payravi | Reverted to version as of 19:17, 20 May 2020 (UTC); should be fine I believe, just cache |
File usage
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