O que (quem) é measure theory - definição

FUNCTION ASSIGNING NUMBERS TO SOME SUBSETS OF A SET, WHICH COULD BE SEEN AS A GENERALIZATION OF LENGTH, AREA, VOLUME AND INTEGRAL

Measure theory; Measure (measure theory); Mathematical measure; Measurable set; Positive measure; Measurable; Countably additive measure; Countably additive function; Countable additivity property; Measure Theory; Measure theoretic

$Countable additivity of a measure <math>\mu</math>: The measure of a countable disjoint union is the same as the sum of all measures of each subset.$

Measurable

·adj Moderate; temperate; not excessive.

II. Measurable ·adj Capable of being measured; susceptible of mensuration or computation.

measurable

Mensurable.

Moderate, temperate.

measurable

¦ adjective able or large enough to be measured.

Derivatives

measurability noun

measurably adverb

Wikipédia

Measure (mathematics)

In mathematics, the concept of a measure is a generalization and formalization of geometrical measures (length, area, volume) and other common notions, such as mass and probability of events. These seemingly distinct concepts have many similarities and can often be treated together in a single mathematical context. Measures are foundational in probability theory, integration theory, and can be generalized to assume negative values, as with electrical charge. Far-reaching generalizations (such as spectral measures and projection-valued measures) of measure are widely used in quantum physics and physics in general.

The intuition behind this concept dates back to ancient Greece, when Archimedes tried to calculate the area of a circle. But it was not until the late 19th and early 20th centuries that measure theory became a branch of mathematics. The foundations of modern measure theory were laid in the works of Émile Borel, Henri Lebesgue, Nikolai Luzin, Johann Radon, Constantin Carathéodory, and Maurice Fréchet, among others.

https://en.wikipedia.org/wiki/Measure (mathematics)