Thread: What set is the set I?

I'm reading a book at the moment and it mentions a set but doesn't define what this set is. Is there a general meaning for this set ?

I'll post the context as it may be helpful

Let to be generated from where

Any help would be appreciated.

Originally Posted by alan4cult

I'm reading a book at the moment and it mentions a set but doesn't define what this set is. Is there a general meaning for this set ? I'll post the context as it may be helpful
Let to be generated from where

There is absolutely to give a firm answer to your question.
If I were to guess, I would say that stands for the irrational numbers.

There is absolutely to give a firm answer to your question.

I think you accidentally the whole sentence.

I think that I is some arbitrary index set, as in: Consider a family of subsets of natural numbers . That's why the author must have forgotten to describe it.

The (closed) unit interval is often denoted by , and from your context I feel this is most likely. That is, the set of real numbers between 0 and 1 inclusive, .

If not, my second guess would be an index set; I've never seen the complex numbers denoted by (although that doesn't rule it out).

Also, have you tried looking for a `notation' section in your book? They're often at the back with the index and references, or immediately after the contents.

I've checked the book and it doesn't define anywhere. An interval would make sense if we wanted to sample only x's that fall with in the interval , however I think it maybe an arbitrary interval rather than [0,1]

If you post more about the context, maybe we can recognize its use.

The context is the Acceptance-Rejection Method in Random Variable Generation. is the variable I wish to sample and it has probability distribution ,