measurable set वाक्य
उदाहरण वाक्य
मोबाइल
- The complexes of a measurable space are called "'measurable sets " '.
- It turns out that these requirements are incompatible conditions; see non-measurable set.
- Now let, and suppose be an arbitrary measurable set, and define:
- Is this like that for all non-measurable sets by the caratheodory definition of measurability?
- Elements of the " ? "-algebra are called measurable sets.
- Measurable sets, given in a measurable space by definition, lead to measurable functions and maps.
- Formally, a simple function is a finite linear combination of indicator functions of measurable sets.
- :Measurable sets can be approximated with unions of intervals.
- Members of this sigma algebra are called measurable sets.
- Here, the collection \ mathcal { B } of coalitions is an arbitrary Lebesgue measurable sets.
- In general they are much more complicated than generator sets, but much better than non-measurable sets.
- Where the supremum is taken over all partitions " \ pi " of a measurable set"
- These subsets will be called the measurable sets.
- The notion of a non-measurable set has been a source of great controversy since its introduction.
- In contrast, an example of a non-measurable set cannot be exhibited, though its existence can be proved.
- Striving to get rid of null sets, mathematicians often use equivalence classes of measurable sets or functions.
- Suppose is a measurable set and is a nondecreasing sequence of non-negative measurable functions on such that
- Each measurable set has associated a non-negative real number called its measure ( generalizes the notion of'area'and'volume').
- There is, however, an important difference between the two : the Banach Tarski paradox relies on non-measurable sets.
- *So long as there are non-measurable sets in a measure space, there are non-measurable functions from that space.
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