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bio website msemac.redwoods.edu/~darnold/…
location Eureka, California
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visits member for 1 year, 7 months
seen Aug 14 at 4:57

Apr
13
revised Case C: Euler's equation in Simmon's textbook
added 1200 characters in body
Apr
12
asked Case C: Euler's equation in Simmon's textbook
Mar
26
asked Classification type of equilibrium point
Jan
5
awarded  Yearling
Nov
24
asked Why is SSE called unexplained variation
Aug
15
asked Examples of Lebesgue dominated convergence theorem
Jul
13
comment Folland, Chapter 1 Problem 17
Eric, nope, you have it incorrect. It might be because we're using different letters and it's getting you confused. Here is the definition, direct from Folland: If $\mu^*$ is an outer measure on $X$, a set $A\subset X$ is called $\mu^*$-measurable if $\mu^*(E)=\mu^*(E\cap A)+\mu^*(E\cap A^C)$ for all $E\subset X$. Now if I change my letters it would read: A set $E$ is called $\mu^*$-measurable if $\mu^*(A)=\mu^*(A\cap E)+\mu^*(A\cap E^C)$ for all $A\subset X$. Hope this helps.
Jul
13
comment Folland, Chapter 1 Problem 17
$B$ is the union of a countable number of disjoint $\mu^*$-measurable sets, so $B$ is measurable, meaning $\mu^*(E)=\mu^*(E\cap B)+\mu^*(E\cap B^C)$ for any $E\subset X$.
Jul
13
asked Folland, Chapter 1 Problem 17
Jul
12
answered Folland Proposition 1.13 Real Analysis, Second Edition
Jul
12
revised Folland Proposition 1.13 Real Analysis, Second Edition
edited title
Jul
12
asked Folland Proposition 1.13 Real Analysis, Second Edition
Jul
10
asked Equivalent statements about an outer measure generated from a measure on a semiring.
Jul
10
asked Holder's inequality and an infinite series question
Jul
9
comment Constructing a complete measure space
In your latest proof, why is $\mu(U\cup G)=0$?
Jul
9
comment Constructing a complete measure space
Nope, still a problem. You have $E=\phi\cup E$. To show that this is an element in $B_0$, you have to show that $\phi\in B$ (which is true) and $E\in B_0$, which hasn't been shown. $F\in B_0$ and $E\subset F$ does not necessarily mean that $E\in B$.
Jul
9
comment Constructing a complete measure space
Using these characters and the hypotheses set up, I believe what is needed is to prove that $E\in B_0$, which I don't see that this is saying.
Jul
9
asked Constructing a complete measure space
Jul
9
comment $f$ measurable, $f=g$ almost everywhere, complete measure space
Very well written. Thank you for the response.
Jul
9
comment $f$ measurable, $f=g$ almost everywhere, complete measure space
Nice example, but there is part of it that I don't understand. If your measure space is not complete, how do you prove that there is a non-measurable set contained in a set of measure zero.