query: A graphical interpretation of the failure of $x^2$ to be uniformly continuous
positive_passages.docid: 143951
positive_passages.text: Can we determine uniform continuity from graphs?
negative_passages.docid: 13257
negative_passages.text: How to prove this problem about uniform continuity
negative_passages.docid: 155822
negative_passages.text: Does uniform convergence preserves absolute continuity?
negative_passages.docid: 150770
negative_passages.text: Why is $f^n(\xi(x))$ continuous over $x$?
negative_passages.docid: 135092
negative_passages.text: How exactly can't $\delta$ depend on $x$ in the definition of uniform continuity?
negative_passages.docid: 56453
negative_passages.text: Sufficient statistics for Uniform $(-\theta,\theta)$
negative_passages.docid: 55749
negative_passages.text: Compactly supported continuous function is uniformly continuous
negative_passages.docid: 57014
negative_passages.text: Existence of a power series converging non-uniformly to a continuous function
negative_passages.docid: 110458
negative_passages.text: Show that if $f$ is continuous on $(0,1)$ and $\lim_{x \to 0}f(x) = + \infty$ then $f$ is not uniformly continuous
negative_passages.docid: 57839
negative_passages.text: Real analysis: density and continuity
negative_passages.docid: 72900
negative_passages.text: What is the best way to show that the exponential sequence doesn't uniformally converge on an unbounded interval
negative_passages.docid: 88640
negative_passages.text: Is $\sqrt x$ continuous at $0$? Because it is not defined to the left of $0$
negative_passages.docid: 126212
negative_passages.text: Proving uniform continuity on an interval
negative_passages.docid: 15579
negative_passages.text: Show that $f$ is uniformly continuous if limit exists
negative_passages.docid: 71487
negative_passages.text: Real Analysis: Continuity of a Composition Function
negative_passages.docid: 155170
negative_passages.text: Proving $\sin(x^2)$ Continuous but Not Uniformly Continuous with non-standard Definition
negative_passages.docid: 3518
negative_passages.text: Proving $f(x)=1/x$ on $(0,1 )$ is not uniformly continuous