File:Definition of Uniform continuity.svg

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Original file ‎(Animated SVG file, nominally 1,725 × 1,238 pixels, file size: 15 KB)

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Captions

Captions

An animation depicting the definition of uniform continuity.

Summary[edit]

Description
日本語: 関数の一様連続性とは、出力誤差の上限 ε がどんなに小さい値で要求されても、入力誤差の上限 δ を適切に定めることができて、どの点においても要求を達成できることである。このアニメーションではまず ε が要求され、次いでそれに対する適切な δ が提示される。 （実際、この図のグラフは2次関数のグラフを周期的に上下反転させながら繋げて作成したものであるが、どれだけ小さい ε に対しても δ を f(δ/2) = f(0) - ε/2 となるように定めることで一様連続性の条件を満たすようになっている。）
Date
Source Own work
Author ぐしー
Other versions File:Definition_of_Uniform_continuity.gif

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Date/TimeThumbnailDimensionsUserComment
current15:39, 14 March 2023Thumbnail for version as of 15:39, 14 March 20231,725 × 1,238 (15 KB)ぐしー (talk | contribs)Reverted to version as of 09:13, 29 January 2023 (UTC)
15:36, 14 March 2023Thumbnail for version as of 15:36, 14 March 20231,750 × 1,313 (15 KB)ぐしー (talk | contribs)correct font specification
09:13, 29 January 2023Thumbnail for version as of 09:13, 29 January 20231,725 × 1,238 (15 KB)ぐしー (talk | contribs)Uploaded own work with UploadWizard

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