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I am a physics undergrad with interests in theoretical physics and mathematics.


May
13
revised Show that the projection map is Orientation preserving iff n is even
spelling mistake in title
May
13
suggested suggested edit on Show that the projection map is Orientation preserving iff n is even
May
13
revised Show that the projection map is Orientation preserving iff n is even
edited title
May
13
suggested suggested edit on Show that the projection map is Orientation preserving iff n is even
May
8
comment Graduate research project in stochastic programming .
I think this question is not suited for this site(?). You may however post it on Academica SE: academia.stackexchange.com
May
6
comment Prove there is no element of order 6 in a simple group of order 168
Why does $n_2=21$, mean there is no element of order 6?
May
6
awarded  Caucus
May
6
accepted Laurent expansion of $\csc^2(\frac{\pi}{z})$ about $\frac{1}{3}$ for $|z-\frac{1}{3}| \lt \frac{1}{12}$
Apr
30
accepted Problem evaluating an improper integral $\int_0^{\infty} \frac{(\sin{2x}-2x\cos{2x})^2}{x^6}$ using fourier transform
Apr
30
comment Problem evaluating an improper integral $\int_0^{\infty} \frac{(\sin{2x}-2x\cos{2x})^2}{x^6}$ using fourier transform
Thanks! I missed a term in the second integral. I am really clumsy in my calculations. Sorry for the trouble.
Apr
30
comment Problem evaluating an improper integral $\int_0^{\infty} \frac{(\sin{2x}-2x\cos{2x})^2}{x^6}$ using fourier transform
At first glance, I am flabbergasted. The first term $\int_o^{\infty}a^2 \cos{\xi x} dx=a^2\frac{\sin{a \xi}}{\xi}=\frac{a^2 \xi ^2 \sin{a \xi} }{\xi ^3}$, which is clearly missing from your answer, and clearly present in mine. The second part done by parts, should't cancel it out. Thanks a lot for the trouble though. :)
Apr
30
comment Problem evaluating an improper integral $\int_0^{\infty} \frac{(\sin{2x}-2x\cos{2x})^2}{x^6}$ using fourier transform
Hi. Should I have taken the sine fourier transform? My sine and cos are interchanged. But the function is even, so the sine part would be zero right?
Apr
30
comment Problem evaluating an improper integral $\int_0^{\infty} \frac{(\sin{2x}-2x\cos{2x})^2}{x^6}$ using fourier transform
@BarackObama: I didn't know the plancherel's formula, so I looked it up on the internet, which correct me in I am wrong is $\int_{\mathbb{R}}||f(x)||^2 \, dx = \int_{\mathbb{R}}||\hat{f(\xi)}||^2 \, d {\xi}$. But in my problem, the integrand is not the square of the entire fourier transform. There is an extra term, which I won't be able to integrate after squaring. How do I do it?
Apr
30
revised Problem evaluating an improper integral $\int_0^{\infty} \frac{(\sin{2x}-2x\cos{2x})^2}{x^6}$ using fourier transform
added 32 characters in body; edited title
Apr
30
asked Problem evaluating an improper integral $\int_0^{\infty} \frac{(\sin{2x}-2x\cos{2x})^2}{x^6}$ using fourier transform
Apr
30
accepted Evaluating improper integrals using laplace transform
Apr
30
comment Evaluating improper integrals using laplace transform
Awesome! Thanks.
Apr
30
asked Evaluating improper integrals using laplace transform
Apr
30
comment Condition for the inverse laplace transform of a function to exist and bromwich integral
Assuming your $t$ is my $x$, I don't see why $\frac{2e^{iR}}{x^3}$ would be zero, if $x$ is non zero. Have I dont the contour integral right? Here there are no singularities so my $a$ can be anything, and my contour is the straight line parallel to the imaginary axis. Also, do you have a answer to my first query. Is there any theorem, which places some restriction on my $F(s)$ so that it has a inverse laplace transform.
Apr
30
asked Condition for the inverse laplace transform of a function to exist and bromwich integral