File:ContinuBJK.svg
Original file (SVG file, nominally 200 × 440 pixels, file size: 3 KB)
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Summary
[edit]DescriptionContinuBJK.svg | (du source XML) |
Date | {2008-07-04 |
Source | Own work |
Author | Fool~commonswiki |
SVG development InfoField | This diagram was created with a text editor. |
Construction du Continu BJK
[edit]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
[edit]Public domainPublic domainfalsefalse |
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 | |
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current | 20:31, 20 May 2020 | 200 × 440 (3 KB) | Kevin Payravi (talk | contribs) | Reverted to version as of 19:17, 20 May 2020 (UTC); should be fine I believe, just cache | |
19:20, 20 May 2020 | 200 × 500 (3 KB) | Deacon Vorbis (talk | contribs) | Reverted to version as of 17:36, 4 July 2008 (UTC) it looked right in the preview, but after saving, it appears squashed with just as much empty space on the bottom...no idea why | ||
19:17, 20 May 2020 | 200 × 440 (3 KB) | Deacon Vorbis (talk | contribs) | adjust vertical size, reducing empty space on the bottom // Editing SVG source code using c:User:Rillke/SVGedit.js | ||
17:36, 4 July 2008 | 200 × 500 (3 KB) | Fool~commonswiki (talk | contribs) | (''du source XML'') ===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 al |
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Short title | Construction du continu BJK |
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Image title | 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 m�mes 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. |
Width | 200 |
Height | 440 |