Answer by Lutz Lehmann for the meaning of the term "dimension" in the context...
A random variable is a $P$-measurable function on $Ω$. Depending on the situation, the probability space $Ω$ can already be very large. For example, if you consider events that are influenced by a...
View ArticleAnswer by Ethan Bolker for the meaning of the term "dimension" in the context...
The dimension refers to the size (in a sense) of the set of vectors, not to the size or dimension (in any sense) of the individual vectors.The space of real $n$-tuples is $n$-dimensional because every...
View Articlethe meaning of the term "dimension" in the context of Hilbert space
Hi: This is a novice Hilbert space question but it's always where I've gotten stuck when reading various books-documents on Hilbert space. I think an example will clarify my confusion.I'm currently...
View Article
More Pages to Explore .....
