query: Not bounded function in $W^{1,1}(\mathbb{R})$
positive_passages.docid: 149714
positive_passages.text: Boundedness of one-dimensional Sobolev functions
negative_passages.docid: 131992
negative_passages.text: A problem on continuous functions
negative_passages.docid: 135449
negative_passages.text: Prove: $\frac1x$ is not a uniformly continuous function
negative_passages.docid: 76607
negative_passages.text: Show that exists a continuous function in $E$ that is not bounded
negative_passages.docid: 35569
negative_passages.text: Prove that $[0,1]$ isn't homeomorphic to $\mathbb{R}$
negative_passages.docid: 63516
negative_passages.text: $C^1[0,1]$ is not complete with respect to sup norm
negative_passages.docid: 102079
negative_passages.text: If $1\leq p < \infty$ then show that $L^p([0,1])$ and $\ell_p$ are not topologically isomorphic
negative_passages.docid: 25397
negative_passages.text: Prove $R \times R$ is NOT an integral domain
negative_passages.docid: 82745
negative_passages.text: Showing Entire Function is Bounded
negative_passages.docid: 67234
negative_passages.text: The function $G: x \mapsto 2^{x^2}$ maps $\mathbb{R}$ onto $\{ x \in \mathbb{R} : x \geq 1 \}$
negative_passages.docid: 37812
negative_passages.text: Prove that the function$\ f(x)=\sin(x^2)$ is not uniformly continuous on the domain $\mathbb{R}$.
negative_passages.docid: 156727
negative_passages.text: A step in the proof of Characterization of $W^{1,\infty}$
negative_passages.docid: 83907
negative_passages.text: $f$ bounded but $f'$ isn't
negative_passages.docid: 99726
negative_passages.text: Proving that a function is not a contraction
negative_passages.docid: 62793
negative_passages.text: $\mathbb{R}$ with the lower limit topology is not second-countable
negative_passages.docid: 107389
negative_passages.text: Show that the vector space of real functions is not finitely spanned
negative_passages.docid: 134575
negative_passages.text: Show that the mapping $f → f~'$ from $C^1([0 , 1])$ to $C([0 , 1])$ is not continuous.