File:Riemann sum convergence.png

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Captions

Captions

Riemann sum convergence

Summary[edit]

Description Show convergence of Riemann sum for all sample position choices as intervals shrink
Date
Source self-made using text editor, rendered by GLIPS Graffiti
Author KSmrq
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Comment[edit]

An example of Riemann sums for the integral sampling each interval at right (blue), minimum (red), maximum (green), or left (yellow). Convergence of all four choices to 3.76 occurs as number of intervals increases from 2 to 10 (and implicitly, to ∞).

Licensing[edit]

I, KSmrq, the copyright holder of this work, hereby publishes it under the following licenses:
GNU head 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.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
Attribution: I, KSmrq
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.
This licensing tag was added to this file as part of the GFDL licensing update.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic license.
Attribution: I, KSmrq
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.
You may select the license of your choice.

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Date/TimeThumbnailDimensionsUserComment
current11:06, 4 July 2007Thumbnail for version as of 11:06, 4 July 20071,260 × 1,260 (66 KB)KSmrq~commonswiki (talk | contribs){{Information |Description=Show convergence of Riemann sum for all sample position choices as intervals shrink |Source=self-made using text editor, rendered by GLIPS Graffiti |Date=2007-07-04 |Author= KSmrq }} == Comment == An example of R

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