query: Find a function in $L^p(\mathbb{R})$ only for $p=4$
positive_passages.docid: 21371
positive_passages.text: Is it possible for a function to be in $L^p$ for only one $p$?
negative_passages.docid: 154913
negative_passages.text: Are all the norms of $L^p$ space equivalent?
negative_passages.docid: 158309
negative_passages.text: Find a function that is continuous only on rationals
negative_passages.docid: 78648
negative_passages.text: Find an orthonormal basis for the subspace of $\mathbb R^4$
negative_passages.docid: 83542
negative_passages.text: A natural problem in $\textrm{S}_2^\textrm{P}$?
negative_passages.docid: 91750
negative_passages.text: $l^p$ not norm, $p<1$
negative_passages.docid: 144225
negative_passages.text: $\ell_p$ is Hilbert if and only if $p=2$
negative_passages.docid: 95074
negative_passages.text: Separability of $l^{p}$ spaces
negative_passages.docid: 51209
negative_passages.text: A linear transformation satisfying $P^2 = P$
negative_passages.docid: 154076
negative_passages.text: How to show this property of $\mathbb{RP}^{n}$.
negative_passages.docid: 95601
negative_passages.text: Is the multiplication operator on $\ell^p$ compact?
negative_passages.docid: 46292
negative_passages.text: Find all primes $p>2$ for which $x^2+x+1$ is irreducible in $\mathbb{F}_p[x]$
negative_passages.docid: 99146
negative_passages.text: Find $\sqrt a + \sqrt b + \sqrt c$ only in terms of $p$ .
negative_passages.docid: 82771
negative_passages.text: Proving that any polynomial $p:\mathbb{R}\rightarrow \mathbb{R}$ is not bounded, but its restriction to any bounded set is bounded
negative_passages.docid: 127921
negative_passages.text: Does there exist a function such that $\lim_{x \to a} f(x) = L$ for all $a \in \mathbb R$ but $f(x)$ is never $L$?
negative_passages.docid: 151947
negative_passages.text: Finding a pair of functions with properties
negative_passages.docid: 103568
negative_passages.text: Possibility of finding a such function?