query: show that the set of $x \in [0,1]$ whose decimal expansion does not have the digit 5, has Lebesgue measure zero
positive_passages.docid: 20135
positive_passages.text: Measure of  reals in $[0,1]$ which don't have $4$ in decimal expansion
negative_passages.docid: 19452
negative_passages.text: Restriction of a Lebesgue integral to a subset of a measurable set.
negative_passages.docid: 60032
negative_passages.text: If the measure of union = sum of outer measures, then the sets are measurable
negative_passages.docid: 90540
negative_passages.text: What is wrong in this proof: That $\mathbb{R}$ has measure zero
negative_passages.docid: 85269
negative_passages.text: Proof that limit of (lnx)/x = 0 without LHopital
negative_passages.docid: 17461
negative_passages.text: Show that a set is dense in $[-1,1]$
negative_passages.docid: 98717
negative_passages.text: Are all measure zero sets measurable?
negative_passages.docid: 76240
negative_passages.text: How is $\epsilon_0$ countable?
negative_passages.docid: 122762
negative_passages.text: Proving that the limit doesn't exist for $x$ other than $0$
negative_passages.docid: 120599
negative_passages.text: Points of a Measure Zero Sets Covered by Intervals Infinitely Many Times
negative_passages.docid: 92571
negative_passages.text: Sets with no asymptotical density over $\mathbb N$
negative_passages.docid: 38581
negative_passages.text: Construct a Borel set on R such that it intersect every open interval with non-zero non-"full" measure
negative_passages.docid: 12402
negative_passages.text: Showing a function on $[0,1]$ is the zero function
negative_passages.docid: 5251
negative_passages.text: If $F$ is closed, does there exist a finite measure on $[0,1]$ with support $F$?
negative_passages.docid: 136538
negative_passages.text: How can I show that a bijection between $[0,1)$ and $(0,1)$ cannot be continuous?
negative_passages.docid: 79974
negative_passages.text: The cardinality of Lebesgue sets
negative_passages.docid: 131664
negative_passages.text: Why is any Lebesgue-Stieltjes measure on $(\mathbb{R},\mathcal{B}_\mathbb{R})$ not complete?