query: Uniformly continuous
positive_passages.docid: 5881
positive_passages.text: $\sqrt x$ is uniformly continuous
negative_passages.docid: 74145
negative_passages.text: How to prove $x^{n}$ is not uniformly continuous
negative_passages.docid: 57180
negative_passages.text: Techniques to prove a function is uniformly continuous
negative_passages.docid: 4062
negative_passages.text: prove that $f(x)=\log(1+x^2)$ is Uniform continuous with $\epsilon ,\delta$ ...
negative_passages.docid: 109660
negative_passages.text: Is the total variation function uniform continuous or continuous?
negative_passages.docid: 155822
negative_passages.text: Does uniform convergence preserves absolute continuity?
negative_passages.docid: 83494
negative_passages.text: Uniform continuity of $\ln(x)$
negative_passages.docid: 98609
negative_passages.text: Does pointwise equicontinuous and uniformly equicontinuous implies compactness?
negative_passages.docid: 45395
negative_passages.text: Difference between continuity and uniform continuity
negative_passages.docid: 77322
negative_passages.text: Uniform continuity of $\sin(x\sin x )$ for all $x\in (0,\infty)$
negative_passages.docid: 106060
negative_passages.text: If $f$ is continuous and with a limit at infinity then $f$ is uniformly continuous
negative_passages.docid: 123981
negative_passages.text: Is it possible to write any bounded continuous function as a uniform limit of smooth functions
negative_passages.docid: 125723
negative_passages.text: Proof of $Y=F_X(X)$ being uniformly distributed on $[0,1]$ for arbitrary continuous $F_X$
negative_passages.docid: 93461
negative_passages.text: Suppose that $f:\Bbb R\to \Bbb R$ is continuous and that $f(x)\to 0$ as $x\to \pm\infty.$Prove that $f$ is uniformly continuous.
negative_passages.docid: 12997
negative_passages.text: Is a Cauchy sequence - preserving (continuous) function is (uniformly) continuous?
negative_passages.docid: 101701
negative_passages.text: Prove that $\ln x$ is not uniformly continuous on $(0,1]$
negative_passages.docid: 45581
negative_passages.text: Is the distance function in a metric space (uniformly) continuous?