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- Absolutely continuous function
- Conditional expectation from finite-measure densities
- Conditional information function
- Conditional measures of a factor
- Differentiation of an indefinite Lebesgue integral
- Essential infimum
- Fundamental theorem of calculus for Lebesgue integration
- Gradient of a Sobolev function vanishes on a level set
- Lebesgue differentiation theorem
- Lebesgue theorem on differentiability of monotone functions
- Linear growth bound for integrable observables
- Liouville theorem for integrable nonnegative elliptic subsolutions
- Measurable partition
- Nonnegative ergodic averages with infinite integral
- Null set
- One-dimensional Sobolev representative
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- Shannon-McMillan-Breiman theorem
- Sobolev chain rule
- Sobolev gradient vanishes on a zero set
- Triangular ergodic averaging lemma
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The term "almost everywhere" is a concept used in mathematics, particularly in measure theory and related fields, to describe a property that holds true for all points in a space except for a set of measure zero. In more formal terms, within a given measurable space, a property P is said to hold "almost everywhere" if the set of points where P does not hold has measure zero.