Word.ws English Dictionary

uniformly continuous

uniformly continuous adjective: that for every real ε > 0 there exists a real δ > 0 such that for all pairs of points x and y in X for which D_X(x,y)<δ, it must be the case that D_Y(f(x),f(y))<ϵ (where D_X and D_Y are the metrics of X and Y, respectively).

Adjective

uniformly continuous (not comparable)

  1. That for every real ε > 0 there exists a real δ > 0 such that for all pairs of points x and y in X for which D_X(x,y)<δ, it must be the case that D_Y(f(x),f(y))<ϵ (where D_X and D_Y are the metrics of X and Y, respectively).
    • A uniformly continuous function is a function whose derivative is bounded.

uniformly continuous meaning in Tamil

uniformly continuous in Tamil

சீராகத் தொடாச்சியுள்ள

Questions about uniformly continuous

What does uniformly continuous mean?
Uniformly continuous means that for every real ε > 0 there exists a real δ > 0 such that for all pairs of points x and y in X for which D_X(x,y)<δ, it must be the case that D_Y(f(x),f(y))<ϵ (where D_X and D_Y are the metrics of X and Y, respectively).
What is uniformly continuous in Tamil?
Uniformly continuous in Tamil is சீராகத் தொடாச்சியுள்ள. See Uniformly continuous meaning in Tamil.
What part of speech is uniformly continuous?
Uniformly continuous is an adjective.

Words near uniformly continuous in the dictionary

  1. uniformizing
  2. uniformizing parameter
  3. uniformizing parameters
  4. uniformless
  5. uniformly
  6. uniformly continuous
  7. uniformness
  8. uniforms
  9. unifoveolate
  10. unifrequency
  11. unifunctional

Source and license

Adapted from Wiktionary: uniformly continuous (page history and authors); uniformly continuous (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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