Continuity set
In measure theory, a branch of mathematics, a continuity set of a measure μ is any Borel set B such that
where is the boundary set of B. For signed measures, one asks that
The class of all continuity sets for given measure μ forms a ring.[1]
Similarly, for a random variable X a set B is called continuity set if
Continuity set of a function
The continuity set C(f) of a function f is the set of points where f is continuous.
gollark: Very basic laser safety is under physics here, since you use lasers in some practicals.
gollark: There are many things people should know. But some of them school is effectively unable to teach, and others really should be easy to learn independently for competent sane people.
gollark: These are difficult skills. Do you think they will be taught well by an adult not selected much for it in an environment which generally pushes conformity?
gollark: No, this is an awful idea.
gollark: I mean, they could have been if people used cars in different ways, but they didn't.
References
- Cuppens, R. (1975) Decomposition of multivariate probability. Academic Press, New York.
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