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visits member for 2 years, 11 months
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I'm a PhD student at the University of Houston studying analysis. My interests are abstract harmonic analysis and integral transform theory.


6h
comment How does $n < 2^n$ become $\log n < n$ by taking log of both sides?
I fixed a minor typo for you, hope you don't mind.
6h
revised How does $n < 2^n$ become $\log n < n$ by taking log of both sides?
edited body
8h
comment Contradictory definition in set theory book?
You can think of $\setminus$ as being a "take away" operation. So $A\setminus B$ is like taking away everything $A$ and $B$ have in common. With that in mind, $A\setminus A$ would have the interpretation that you're removing every element of $A$ from $A$. What does that leave you with?
8h
comment Derivative of a composition of function - nice proof
Here's an answer of mine from some time ago that might interest you: math.stackexchange.com/questions/691652/…
1d
comment key contributions of Augustin Louis Cauchy to analysis
He almost gave the proper definition of continuity. His definition was for uniform continuity.
1d
comment $ \int_{ABC} f = \int_{CDA} f $
Do not create tags for such specific things.
1d
revised $ \int_{ABC} f = \int_{CDA} f $
edited tags
1d
comment Hilbert transform of a Gaussian wave packet
Yes exactly that.
1d
comment Use norm on $\mathbb{R}$^k to prove $\mathbb{R}$^k is complete
Uh. What is $R$? If you mean $\Bbb R$, it is surely not countable (and hence neither is $\Bbb R^n$). Do you mean to ask about first countable/second countable or separability?
1d
comment Automophism of G and Haar measure
@KCd you should make this an answer. It's a perfect response I think.
1d
awarded  Inquisitive
2d
comment Is there a subset of $\mathbb{R}^2$ that is bounded but not compact?
In any Euclidean space, compact is the same as closed and bounded. If you want a noncompact set that is bounded, what can you conclude?
2d
answered $\int_x^z f=0$ for every $z\in[x,y]$, then $f(a)=0$ a.e. on $[x,y]$.
2d
comment $\int_x^z f=0$ for every $z\in[x,y]$, then $f(a)=0$ a.e. on $[x,y]$.
Did you consider the Lebesgue differentiation theorem? It almost gives you the result for free.
2d
comment Hilbert transform of a Gaussian wave packet
Hint: try using that the Hilbert transform is a Fourier multiplier.
2d
answered Square root of this $2x2$ matrix
2d
comment Square root of this $2x2$ matrix
You do but you somewhere messed up. Your negative in the lower left should be in the upper right.
2d
comment Does the sequence $( n^{1/n} -1)$ belong to any $\ell^p$ space?
Can you clean up the formatting? It's not clear what the sequence is.
2d
comment Square root of this $2x2$ matrix
You computed the inverse of $S$ wrong. Check it by multiplication.
2d
comment How to evaluate a double integral with two Dirac functions?
You're very welcome :)