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Explain what it means to "partition the support of the (scalar)

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Explain what it means to "partition the support of the (scalar) variable" like I've only taken calc 2. What is an intuitive way of understanding this?
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Id tip it.

No idea, whats the context?
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>>8745678
https://www.brown.edu/Departments/Economics/Faculty/Glenn_Loury/louryhomepage/teaching/Ec%20237/Crawford%20and%20Sobel%20(Ecta%201982).pdf
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>>8745672
The support of something is taking the set of points x in X where f(x) is non-zero, or equivalently, the domain of a function but without any elements that map to zero.

A scalar variable is a variable that has no direction, unlike a vector. It is equivalent to magnitude (except it typically includes negative values).

A partition is a group of sets that have nothing in common, are non-empty, and when put together cover a whole, previously defined, set. For example, the sets {1,2,4},{3,5},{7},{6} partition {1,2,3,4,5,6,7}.

Taking this all, this means that whatever your reading probably means some process is turning the support of some function that maps scalar variables into a partition.
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>>8745960
This is amazing. Thank you!
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>>8745960
As a concrete example of partitioning, one way you could partition the set of {x | f(x) != 0} is by setting elements equal through the relation x ~ y if f(x) = f(y). Take f(x) = x^2, then 1 ~ -1.
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