File:ZetaSpiral.gif
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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)
Note: Due to technical limitations, thumbnails of high resolution GIF images such as this one will not be animated.
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 |
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 21:34, 2 December 2020 | | 903 × 572 (1.15 MB) | wikimediacommons>YoshiGosu | Uploaded own work with UploadWizard |
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