Quality of being measurable.

plural of measurability

plural of measure word

A length of one nautical mile, the limits of which have been accurately measured and are indicated by ranges ashore. It is used by ships to calibrate logs, revolution counters, etc. as well as to measure the ship's speed.

(mathematical analysis) A positive measure which, for each subset of a given measure space, assigns a value equal to the number of points in that subset.

(mathematical analysis) A function whose domain is a σ-algebra, whose codomain is the set of complex numbers, and which is countably additive.

(mathematical analysis) A measure such that, for every set of measure zero belonging to its domain, all subsets of that set are also assigned measure zero by the given measure.

(mathematical analysis) A measure whose domain is the Borel σ-algebra of a locally compact Hausdorff space.

(mathematics) A mathematical measure on a probability space that can take on values between 0 and 1, with 0 corresponding to the empty set and 1 to the entire space.

(mathematical analysis) A unique complete translation-invariant measure for the σ-algebra which contains all k-cells in a given Euclidean space, and which assigns a measure to each k-cell which is equal to that k-cell's volume (as defined in Euclidean geometry: i.e., the volume of the k-cell equals the product of the lengths of its sides).