Speakur

Word Pronunciation & Dictionary

uniformly continuous

Word Rarity Rare

Frequency: Zipf frequency 3.15 in modern English

Syllables
uni-form-ly -con-tin-u-ous
IPA
29
Scrabble Score
19
Letters
7
Syllables
12
Unique Chars

Meaning

adj

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).

Example Sentences

Phrases

uniform continuity

Frequently Paired Words

uniform continuity

Questions

What does uniformly continuous mean?
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).

How to pronounce uniformly continuous

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