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The 16 pages that link to Almost everywhere, each with the reason it gives.

• Lebesgue integralRelated: Changing a function on a null set does not change its Lebesgue integral.

• Lebesgue measureRelated: Lebesgue measure gives precise meaning to ignoring a negligible set of exceptions.

• Measure theoryRelated: Measure-zero exceptions let convergence and equality ignore negligible sets.

• Fubini's theoremRelated: Fubini's conclusions about sections and iterated integrals generally hold almost everywhere.

• Lebesgue differentiation theoremRelated: The theorem allows a measure-zero set of points where differentiation may fail.

• Measure spaceRelated: Measure zero lets statements ignore subsets that do not affect measured size.

• Poincaré recurrence theoremRelated: Recurrence is guaranteed outside a measure-zero exceptional set, not at every point.

• Weak solutionRelated: Weak derivatives and many stronger solution notions are defined through identities holding almost everywhere.

• Absolute continuityRelated: The derivative characterization of absolute continuity is stated almost everywhere.

• Support (mathematics)Related: Essential support treats functions equal almost everywhere as having the same support.

• Extended real number lineRelated: Extended-valued measurable functions are often compared up to measure-zero exceptions.

• Lebesgue density theoremRelated: Density can fail at individual points, but only on a null set.

• Fatou's lemmaRelated: Changing function values on null sets does not change their Lebesgue integrals.

• Rademacher's theoremRelated: This phrase states the precise extent of the theorem’s differentiability guarantee.

• Lochs's theoremRelated: This quantifier permits exceptional numbers without changing the theorem's typical asymptotic claim.

• Steffensen's inequalityRelated: Measurable versions need monotonicity or bounds only up to null sets.