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?
Id tip it.
No idea, whats the context?
>>8745678
https://www.brown.edu/Departments/Economics/Faculty/Glenn_Loury/louryhomepage/teaching/Ec%20237/Crawford%20and%20Sobel%20(Ecta%201982).pdf
>>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.
>>8745960
This is amazing. Thank you!
>>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.