91 reputation
7
bio website
location
age
visits member for 1 year, 5 months
seen Feb 18 at 20:46

Graduated Student in Applied (Computational) Math.


Jul
2
awarded  Curious
Apr
21
awarded  Popular Question
Oct
4
revised Dealing with Residues on the Real Axis - (Evaluation of Improper Integrals) Problem
added 227 characters in body
Oct
3
comment Dealing with Residues on the Real Axis - (Evaluation of Improper Integrals) Problem
Wow this is a beautiful answer. My complex analysis course skipped this section involving integration along branch cuts. Thank you!
Oct
3
accepted Dealing with Residues on the Real Axis - (Evaluation of Improper Integrals) Problem
Oct
3
revised Dealing with Residues on the Real Axis - (Evaluation of Improper Integrals) Problem
added 4 characters in body
Oct
3
comment Dealing with Residues on the Real Axis - (Evaluation of Improper Integrals) Problem
I know. But why?
Oct
3
asked Dealing with Residues on the Real Axis - (Evaluation of Improper Integrals) Problem
May
12
comment Is $f$ necessarily measurable?
Can I use the fact that a function $f$ is Lebesgue measurable if and only if $f_{\big| D}$ and $f_{\big| E -D}$ is Lebesgue measurable where $D$ is a measurable subset of a measurable set $E$? Is this sort of what you were trying to do in your response?
May
12
comment Is $f$ necessarily measurable?
I guess I'm not understanding the definition of a Lebesgue measurable function. I guess I was trying to say that despite the points of discontinuity, the preimage of $f$ will preserve its measurability (i.e. the pre-image of a measurable set is still measurable under $f$). My professor is covering this section tomorrow and I was trying to work ahead. I'll come back to this once that happens. Thanks.
May
12
revised Is $f$ necessarily measurable?
added 44 characters in body
May
12
comment Is $f$ necessarily measurable?
However when we define $f(x_i) = y_i$ wouldn't there be cases when this would be undefined since we stated that the $x_i$'s are the points in which $f$ is not continuous?
May
12
comment Is $f$ necessarily measurable?
I guess I should have stated Lebesgue measurable set $E$ and we working under the standard topology. But thank you for the input.
May
12
comment Is $f$ necessarily measurable?
I made an edit for (1), am I on the right track? I'm just having issues sketching the details.
May
11
revised Is $f$ necessarily measurable?
deleted 199 characters in body
May
11
comment Is $f$ necessarily measurable?
Also, I edited what I have observed for (1), but I'm still not quite there yet.
May
11
comment Is $f$ necessarily measurable?
Gah, I feel dumb. Thanks
May
11
revised Is $f$ necessarily measurable?
added 234 characters in body
May
11
asked Is $f$ necessarily measurable?
Apr
21
accepted Outer Measure Question