query: a function that is not measurable but its square is measurable
positive_passages.docid: 148328
positive_passages.text: Example of a function $f$ on $X$ to $\mathbb{R}$ which is not $X$-measurable but $|f|$, and $f^2$ are measurable.
negative_passages.docid: 125190
negative_passages.text: Convergence to function that is not measurable
negative_passages.docid: 35953
negative_passages.text: Prove that a function is not injective
negative_passages.docid: 158567
negative_passages.text: A uniform continuous function which is not Hölder continuous
negative_passages.docid: 88418
negative_passages.text: Proof of a theorem saying that we can make a measurable function continuous by altering it by a set of arbitarily small measure
negative_passages.docid: 18825
negative_passages.text: Integrable but not differentiable function
negative_passages.docid: 91126
negative_passages.text: A question about Measurable function
negative_passages.docid: 88610
negative_passages.text: The set of convergence of a sequence of measurable functions is measurable
negative_passages.docid: 73619
negative_passages.text: Why is $(\mathbb{R}, \mathcal{P}(\mathbb{R}))$ called a measurable space when actually is not?
negative_passages.docid: 88602
negative_passages.text: Inner regularity of Lebesgue measurable sets
negative_passages.docid: 124374
negative_passages.text: A bijective function between a square and its side
negative_passages.docid: 22597
negative_passages.text: Composition of measurable function and continuous function
negative_passages.docid: 7681
negative_passages.text: How can this theorem about weakly measurable functions on $\sigma$-finite measure spaces be deduced from the finite measure space case?
negative_passages.docid: 33488
negative_passages.text: A uniformly continuous function such that the derivative is not bounded and is not defined on a compact?
negative_passages.docid: 52104
negative_passages.text: A pseudometric on the space of the measurable functions is complete
negative_passages.docid: 126698
negative_passages.text: measurability of a function -equivalent conditions
negative_passages.docid: 137257
negative_passages.text: The Supremum and Infimum of a sequence of measurable functions is measurable