File:ZetaSpiral.gif
Size of this preview: 800 × 507 pixels. Other resolutions: 320 × 203 pixels | 640 × 405 pixels | 903 × 572 pixels.
Original file (903 × 572 pixels, file size: 1.15 MB, MIME type: image/gif, looped, 50 frames)
 | 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. |
Summary
| Description |
日本語: これはζ関数に関係する値を複素平面上で表したものである。
黄色線はk=1...50に対するk^-sを表し、これらの連結は級数Sum[k^-s,{k,1,50}]を表している。赤の点線はn^(-s+1)/(-s+1) + Zeta[s]を表す。緑点はZeta[s]を表す。緑線はsの実数部を-0.5から1.5まで変化させたときのZeta[s]の軌道を表す。オレンジの線はSum[k^-s,{k,1,50}]の軌道を表す。
English: This visualization shows values related to the Zeta function represented on a complex plane. The yellow line represents k^-s for k=1...50, and the concatenation of them represents a series Sum[k^-s,{k,1,50}]. The magenta dotted line represents n^(-s+1)/(-s+1) + Zeta[s]. The green dot represents Zeta[s]. The green line represents the trajectory of Zeta[s] when the real part of s is varied from -0.5 to 1.5. The orange line represents the trajectory of Sum[k^-s,{k,1,50}] |
| Date | |
| Source | Own work |
| Author | YoshiGosu |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:34, 2 December 2020 | | 903 × 572 (1.15 MB) | YoshiGosu | Uploaded own work with UploadWizard |
File usage
The following page uses this file:
Global file usage
The following other wikis use this file:
- Usage on ja.wikipedia.org
