File:Eulergamma.png
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![File:Eulergamma.png](https://upload.wikimedia.org/wikipedia/commons/thumb/7/76/Eulergamma.png/800px-Eulergamma.png?20240503213730)
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Structured data
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Captions
Graph of the harmonic series H_n and its approximations: Smaller triangles with ln(n+1) demonstrate a closer approximation at lower n, visually representing Euler's constant γ.
Summary
[edit]DescriptionEulergamma.png |
English: Graphical representation of Riemann sum approximations for the harmonic series. The red and blue curves denote the functions y = 1/x and y = 1/(x+1), respectively, while the purple rectangles underneath the red curve estimate the sum of the series 1/k from k=1 to n. |
Date | |
Source | Own work |
Author | Twoxili |
Licensing
[edit]I, the copyright holder of this work, hereby publish it under the following license:
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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.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 21:37, 3 May 2024 | ![]() | 1,152 × 750 (39 KB) | Twoxili (talk | contribs) | Extended y = 1/(x+1) to x = 0 |
21:20, 3 May 2024 | ![]() | 1,152 × 750 (37 KB) | Twoxili (talk | contribs) | Reverted to using purple rectangles from x = 0 to represent the Riemann sum of y = 1/x from x = 1 | |
21:02, 3 May 2024 | ![]() | 1,152 × 750 (40 KB) | Twoxili (talk | contribs) | Aligned onsets of rectangles to those of their respective functions | |
02:30, 27 April 2024 | ![]() | 1,152 × 750 (39 KB) | Twoxili (talk | contribs) | Extended 1/(x+1) curve to x = 0 | |
02:05, 27 April 2024 | ![]() | 1,152 × 750 (37 KB) | Twoxili (talk | contribs) | Added lower bound of each function | |
23:04, 26 April 2024 | ![]() | 1,152 × 750 (35 KB) | Twoxili (talk | contribs) | Added x = 0 index to the red and purple boxes | |
22:37, 26 April 2024 | ![]() | 1,152 × 750 (35 KB) | Twoxili (talk | contribs) | Uploaded own work with UploadWizard |
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Horizontal resolution | 56.69 dpc |
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Vertical resolution | 56.69 dpc |
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