File:Illustration for epsilon-delta definition of continuity 2.svg

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Original file (SVG file, nominally 537 × 302 pixels, file size: 92 KB)

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Summary

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Description
English: This image is part of a series of images illustrating the epsilon-delta-definition of continuity.
Deutsch: Dieses Bild ist Teil einer Serie von Abbildungen, die das Epsilon-Delta-Kriterium der Stetigkeit illustrieren.
Date
Source Own work
Author Stephan Kulla (User:Stephan Kulla)
Other versions
  • A continuous function
    A continuous function
  • A point (x_0, f(x_0)) of the function graph
    A point (x_0, f(x_0)) of the function graph
  • An epsilon bound around the f(x_0)
    An epsilon bound around the f(x_0)
  • A delta neighborhood fulfilling the epsilon-delta-criterion
    A delta neighborhood fulfilling the epsilon-delta-criterion
  • A smaller epsilon bound around f(x_0)
    A smaller epsilon bound around f(x_0)
  • A delta neighborhood fulfilling the epsilon-delta-criterion for the smaller epsilon
    A delta neighborhood fulfilling the epsilon-delta-criterion for the smaller epsilon
  • A function with an jump at x_0
    A function with an jump at x_0
  • An epsilon bound around the f(x_0)
    An epsilon bound around the f(x_0)
  • A delta neighborhood not fulfilling the epsilon-delta-criterion
    A delta neighborhood not fulfilling the epsilon-delta-criterion
  • A smaller delta neighborhood not fulfilling the epsilon-delta-criterion
    A smaller delta neighborhood not fulfilling the epsilon-delta-criterion
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Licensing

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I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero 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

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Date/TimeThumbnailDimensionsUserComment
current18:15, 13 June 2017Thumbnail for version as of 18:15, 13 June 2017537 × 302 (92 KB)Lukasstockner (talk | contribs)Updated layers
17:33, 13 June 2017Thumbnail for version as of 17:33, 13 June 2017529 × 302 (28 KB)Lukasstockner (talk | contribs)LaTeX captions
22:26, 20 August 2016Thumbnail for version as of 22:26, 20 August 2016510 × 292 (26 KB)Stephan Kulla (talk | contribs)scaled version
19:34, 16 August 2016Thumbnail for version as of 19:34, 16 August 2016417 × 122 (25 KB)Stephan Kulla (talk | contribs)User created page with UploadWizard

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