File:Visualized estimate for the Cauchy condensation test.png
Size of this preview: 799 × 124 pixels. Other resolution: 811 × 126 pixels.
Original file (811 × 126 pixels, file size: 1 KB, MIME type: image/png)
 | This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
|
This image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with
{{vector version available|new image name}}.
It is recommended to name the SVG file “Visualized estimate for the Cauchy condensation test.svg”—then the template Vector version available (or Vva) does not need the new image name parameter. |
Summary
| Description |
English: Visual aid for a proof of the Cauchy condensation test.
The leftmost image represents a (truncation of a) series of non-negative, non-increasing terms. The center image represents the corresponding condensed series, with the original overlayed to show it is greater. The rightmost image is the original series with each term duplicated once (so that the whole series is doubled), with both the left ones overlayed to show it greater than both. |
| Date | |
| Source | Own work |
| Author | Zxxrzx |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
|
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
|
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 08:58, 24 August 2014 | | 811 × 126 (1 KB) | Zxxrzx | User created page with UploadWizard |
File usage
The following page uses this file:
Global file usage
The following other wikis use this file:
- Usage on ca.wikipedia.org
- Usage on ja.wikipedia.org
- Usage on pt.wikipedia.org
- Usage on uk.wikipedia.org
- Usage on zh.wikipedia.org
