query: Is $\sqrt{x}$ uniformly continuous on $(0,1)$?
positive_passages.docid: 5881
positive_passages.text: $\sqrt x$ is uniformly continuous
negative_passages.docid: 36166
negative_passages.text: Uniform continuity on (0,1) implies boundedness
negative_passages.docid: 132946
negative_passages.text: Continuous and bounded imply uniform continuity?
negative_passages.docid: 44574
negative_passages.text: Continuity of absolute value of a function
negative_passages.docid: 124779
negative_passages.text: Intuition for uniform continuity of a function on $\mathbb{R}$
negative_passages.docid: 94244
negative_passages.text: $\sin \frac{1}{x}$ is not uniformly continuous on $[1, \infty]$
negative_passages.docid: 113871
negative_passages.text: Prove $f(x) = \sqrt x$ is uniformly continuous on $[0,\infty)$
negative_passages.docid: 3518
negative_passages.text: Proving $f(x)=1/x$ on $(0,1 )$ is not uniformly continuous
negative_passages.docid: 23436
negative_passages.text: $f$ Holder continuous with Holder exponent $p>1\implies f \text{ is constant}$
negative_passages.docid: 51247
negative_passages.text: $f$ be a continuous function maps Cauchy into Cauchy. Is $f$ uniformly continuous?
negative_passages.docid: 1986
negative_passages.text: Show $1/(1+ x^2)$ is uniformly continuous on $\Bbb R$.
negative_passages.docid: 141423
negative_passages.text: The continuity of $f(x,y) = \frac {\sin (xy)} {\sqrt {x^2 + y^2}}$ at $(0,0)$
negative_passages.docid: 12997
negative_passages.text: Is a Cauchy sequence - preserving (continuous) function is (uniformly) continuous?
negative_passages.docid: 24017
negative_passages.text: Let $f: \Bbb R \to [0,\infty)$ be a continuous function such that $g(x)=(f(x))^2$ is uniformly continuous. Which of the following is always true?
negative_passages.docid: 102918
negative_passages.text: Prove $\sin x$ is uniformly continuous on $\mathbb R$
negative_passages.docid: 36227
negative_passages.text: Show continuity or uniform continuity of $\phi: (C([0,1];\Bbb R ),||\cdot||_\infty )\to (\Bbb R, |\cdot | )$
negative_passages.docid: 134838
negative_passages.text: Uniform continuity of $f(x)=x^{2/3}\log x$ on $[0, \infty)$