“measure”的概念、定义、翻译、参考文献-科学参考

measure

Mathematics

Measure is a generalization of the notions of length, area, and volume. Given a set S with a sigma algebra Σ‎ of subsets of S, a measure is a map μ‎: Σ‎ → [0,∞] such that μ‎(∅), and if {A_k} is a sequence of disjoint subsets in Σ‎, then

$μ (⋃_{k = 1}^{\infty} A_{k}) = \sum_{k = 1}^{\infty} μ (A_{k}) .$

This last requirement is called ‘countable additivity’. A Banach measure need only be finitely additive. Compare Haar measure, Hausdorff dimension, Lebesgue measure, outer measure.

Computer

1. A quantity ascertained or ascertainable by measurement.
2. A number assigned to a property of an entity according to well-defined rules, so as to describe or represent that property objectively.
3. A number or other symbol assigned to a specific property by means of observation.

Geology and Earth Sciences

A lithostratigraphic term that (in the past) has been used both formally (e.g. Coal Measures, Culm Measures, see formal) and informally (see informal) to denote a succession of coal-bearing strata.

单词	measure
释义	measure Mathematics Measure is a generalization of the notions of length, area, and volume. Given a set S with a sigma algebra Σ‎ of subsets of S, a measure is a map μ‎: Σ‎ → [0,∞] such that μ‎(∅), and if {A_k} is a sequence of disjoint subsets in Σ‎, then $μ (⋃_{k = 1}^{\infty} A_{k}) = \sum_{k = 1}^{\infty} μ (A_{k}) .$ This last requirement is called ‘countable additivity’. A Banach measure need only be finitely additive. Compare Haar measure, Hausdorff dimension, Lebesgue measure, outer measure. Computer 1. A quantity ascertained or ascertainable by measurement. 2. A number assigned to a property of an entity according to well-defined rules, so as to describe or represent that property objectively. 3. A number or other symbol assigned to a specific property by means of observation. Geology and Earth Sciences A lithostratigraphic term that (in the past) has been used both formally (e.g. Coal Measures, Culm Measures, see formal) and informally (see informal) to denote a succession of coal-bearing strata.
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