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Oct
12
accepted Smallest $\sigma$-algebra and $\sigma$-algebra generated by a function
Oct
11
comment Smallest $\sigma$-algebra and $\sigma$-algebra generated by a function
We've defined them as the smallest sigma-algebra containing something we called "measurable cylinders". I could write down the definition, but is that relevant? Say this is the definition and not a theorem - then my question is that I don't understand the definition properly.
Oct
11
comment Smallest $\sigma$-algebra and $\sigma$-algebra generated by a function
I added the definition in the original post.
Oct
11
revised Smallest $\sigma$-algebra and $\sigma$-algebra generated by a function
added 158 characters in body
Oct
11
revised Smallest $\sigma$-algebra and $\sigma$-algebra generated by a function
edited tags
Oct
11
asked Smallest $\sigma$-algebra and $\sigma$-algebra generated by a function
Oct
8
awarded  Popular Question
Oct
2
awarded  Tumbleweed
Sep
24
awarded  Autobiographer
Sep
23
accepted Switching $\int$ and $\sum$ proof
Sep
23
comment Switching $\int$ and $\sum$ proof
Ah and as we know integral is linear so it could also be expressed as a (finite) sum of integrals right?
Sep
23
asked Switching $\int$ and $\sum$ proof
Sep
23
comment Rational function inequality
Added that aswell
Sep
23
revised Rational function inequality
added 44 characters in body
Sep
23
revised Rational function inequality
added 60 characters in body
Sep
23
comment Rational function inequality
Ah right, sorry. Polynomials, I'l add that.
Sep
23
asked Rational function inequality
Sep
21
accepted Limit Point of Zero Points Implying a Zero Function
Sep
21
comment Limit Point of Zero Points Implying a Zero Function
Thanks. This has got to be it. Which brings me to the question why am I not aware of that. Is that perhaps a corollary of some more "famous" theorem?
Sep
21
revised Limit Point of Zero Points Implying a Zero Function
added 11 characters in body