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measurable    音标拼音: [m'ɛʒɚəbəl]
a. 可测量的,适度的,恰当的

可测量的,适度的,恰当的

measurable
可度量的,可测量的

measurable
adj 1: capable of being measured; "measurable depths" [synonym:
{measurable}, {mensurable}] [ant: {immeasurable},
{immensurable}, {unmeasurable}, {unmeasured}]
2: of distinguished importance; "a measurable figure in
literature"

Measurable \Meas"ur*a*ble\, a. [F. mesurable, L. mensurabilis.
See {Measure}, and cf. {Mensurable}.]
[1913 Webster]
1. Capable of being measured; susceptible of mensuration or
computation.
[1913 Webster]

2. Moderate; temperate; not excessive.
[1913 Webster]

Of his diet measurable was he. --Chaucer.
[1913 Webster] -- {Meas"ur*a*ble*ness}, n. --
{Meas"ur*a*bly}, adv.
[1913 Webster]

Yet do it measurably, as it becometh Christians.
--Latimer.
[1913 Webster]

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  • Intuition behind the Caratheodory’s Criterion of a measurable set
    The only explanation I've ever seen is that a set is measurable if it 'breaks up' other sets in the way you'd want I don't really see why this is the motivation though One reason I am not comfortable with it is that you require a measurable set to break up sets which, according to this definition, are non-measurable; why would you require that?
  • Examples of non-measurable sets in $\mathbb {R}$
    As a $ \sigma $-algebra is by definition closed under a countable union, and as singletons in $ \mathbb {R} $ are Borel-measurable, it follows that a countable subset of $ \mathbb {R} $ is Borel-measurable and that $ S $, being a countable union of countable (hence Borel-measurable) subsets of $ \mathbb {R} $, is Borel-measurable
  • analysis - What is the definition of a measurable set? - Mathematics . . .
    There is no definition of "measurable set" There are definitions of a measurable subset of a set endowed with some structure Depending on the structure we have, different definitions of measurability will be used
  • general topology - What makes the elements of sigma algebra measurable . . .
    Is it an implication of the definition? If yes, how is it avoiding admitting non-measurable sets into sigma algebra? When they say measurable non-measurable, what is the measure they are talking about? Lebesgue, counting, probability? It seems there is an implicit measure every time someone says a set is measurable non-measurable
  • Lebesgue measurable set that is not a Borel measurable set
    In short: Is there a Lebesgue measurable set that is not Borel measurable? They are an order of magnitude apart so there should be plenty examples, but all I can find is "add a Lebesgue-zero measure set to a Borel measurable set such that it becomes non-Borel-measurable"





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