query: lebesgue measure of difference of two sets
positive_passages.docid: 156176
positive_passages.text: Lebesgue measurability of nearly identical sets
negative_passages.docid: 102515
negative_passages.text: Counting functions between two sets
negative_passages.docid: 19773
negative_passages.text: Is finite additivity a property of the Lebesegue outer measure?
negative_passages.docid: 100282
negative_passages.text: Measure Convergence Version of Lebesgue Dominated Convergence Theorem
negative_passages.docid: 151707
negative_passages.text: Fatou's lemma and measurable sets
negative_passages.docid: 118353
negative_passages.text: For set of positive measure $E$, $\alpha \in (0, 1)$, there is interval $I$ such that $m(E \cap I) > \alpha \, m(I)$
negative_passages.docid: 122605
negative_passages.text: Self-Studying Measure Theory and Integration
negative_passages.docid: 109301
negative_passages.text: Lebesgue Integral of Non-Measurable Function
negative_passages.docid: 70409
negative_passages.text: Rational Equivalence Relation and Measure
negative_passages.docid: 96286
negative_passages.text: Proving that sum of two measurable functions is measurable.
negative_passages.docid: 113227
negative_passages.text: Measure spaces are proper subsets
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: 134310
negative_passages.text: Minkowski sum of a positive Lebesgue measure set and $\mathbb{Q}$.
negative_passages.docid: 57462
negative_passages.text: Lebesgue Measure of the Graph of a Function
negative_passages.docid: 84359
negative_passages.text: On Lebesgue Outer Measure of an interval
negative_passages.docid: 55019
negative_passages.text: Lebesgue density theorem in the line
negative_passages.docid: 123613
negative_passages.text: Double Complement of a set proof