File:Pm1234 linearity.svg
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Size of this PNG preview of this SVG file: 432 × 282 pixels. Other resolutions: 320 × 209 pixels | 640 × 418 pixels | 1,024 × 668 pixels | 1,280 × 836 pixels | 2,560 × 1,671 pixels.
Original file (SVG file, nominally 432 × 282 pixels, file size: 7 KB)
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Summary
[edit]DescriptionPm1234 linearity.svg |
English: Adding 4 copies of 1 − 2 + 3 − 4 + · · ·, using only shifts and term-by-term addition, yields 1. Only the first four terms of the series are shown. A white disk represents +1; a reddish disk represents −1. The units are grouped on top of each other as they occur within the terms of the series. A black line indicates a plus/minus pair, which annihilate to 0. An intermediate reduction to two copies of 1 − 1 + 1 − 1 + · · · is visible in the top row. The result of the addition is a single positive unit, highlighted in green at the upper left. |
Date | |
Source | Own work |
Author | User:Melchoir |
Other versions | PNG version |
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[edit]I, the copyright holder of this work, hereby publish it under the following licenses:
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. | ||
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This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 12:16, 1 January 2008 | 432 × 282 (7 KB) | Papa November (talk | contribs) | Trimmed useless Adobe Illustrator metadata. This may have been causing the display errors. No copyright claimed on non-creative derivative work | |
05:22, 5 March 2007 | 432 × 282 (29 KB) | Melchoir (talk | contribs) | alter slightly | ||
04:03, 5 March 2007 | 432 × 282 (29 KB) | Melchoir (talk | contribs) | Adding 4 copies of 1 − 2 + 3 − 4 + · · ·, using only shifts and term-by-term addition, yields 1. |
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