1,354 reputation
11327
bio website google.com
location Melbourne, Australia
age 31
visits member for 2 years, 5 months
seen 16 hours ago

I am a professional software engineer and a Math hon-ours student.


Jul
20
revised Trying to solve $\int{-2\exp{\left(z\cos^2 \theta \frac{\left(a^2 - 1\right)}{2a^2}\right)}}d\theta$
added 285 characters in body
Jul
20
comment Trying to solve $\int{-2\exp{\left(z\cos^2 \theta \frac{\left(a^2 - 1\right)}{2a^2}\right)}}d\theta$
@Semiclassical That's a really good point. Thank you for bringing that to my attention. I had stashed them into constants and did not analyse that. Also the source of that representation is wolfram alpha. I 'll add a link at the end of the question.
Jul
20
comment Does $\int { y\cosh \left(\beta y^2\right)}J_0\left(\gamma y^2 \right) dy$ have a closed form
Thank you for correcting me about the sqrt term.
Jul
20
comment Does $\int { y\cosh \left(\beta y^2\right)}J_0\left(\gamma y^2 \right) dy$ have a closed form
Can u please also explain how you got equation 1 from the first equation you had, should n't there be a $\sin$ term ?
Jul
20
comment Does $\int { y\cosh \left(\beta y^2\right)}J_0\left(\gamma y^2 \right) dy$ have a closed form
I think the equation 2 is missing a denominator term of $\sqrt t$, also I am not quite sure how to calculate this corrected equation (2).
Jul
19
revised Does $\int { y\cosh \left(\beta y^2\right)}J_0\left(\gamma y^2 \right) dy$ have a closed form
removed redundant constant
Jul
19
asked Does $\int { y\cosh \left(\beta y^2\right)}J_0\left(\gamma y^2 \right) dy$ have a closed form
Jul
19
revised Trying to solve $\int{-2\exp{\left(z\cos^2 \theta \frac{\left(a^2 - 1\right)}{2a^2}\right)}}d\theta$
added the info surrounding the laplace transform
Jul
19
comment Trying to solve $\int{-2\exp{\left(z\cos^2 \theta \frac{\left(a^2 - 1\right)}{2a^2}\right)}}d\theta$
@mwomath , I have added the limits and some contextual info, which I probably should have provided originally. Even though I have been able to solve the problem from which this came out of, I would love to see how this could have been solved, it would be educational for me. Many Thanks to anyone who tries.
Jul
19
revised Trying to solve $\int{-2\exp{\left(z\cos^2 \theta \frac{\left(a^2 - 1\right)}{2a^2}\right)}}d\theta$
added limits a bit more context.
Jul
19
comment Trying to solve $\int{-2\exp{\left(z\cos^2 \theta \frac{\left(a^2 - 1\right)}{2a^2}\right)}}d\theta$
@mwomath, thank you for your query, I actually went back to equation I was deriving and much earlier in my derivation there was a convolution integral step, instead of trying to compute that by substitutions, which got me this problem, I instead used laplace transforms and inverse laplace transforms to get the appropriate Bessel function based probability density I was trying to get. I 'll update the integral with the limits shortly.
Jul
16
comment Trying to solve $\int{-2\exp{\left(z\cos^2 \theta \frac{\left(a^2 - 1\right)}{2a^2}\right)}}d\theta$
Sorry I was driving so could not reply earlier the z is in fact a variable but obviously a constant as far as the integral in concerned. Both z and w I think can be treated as non negative reals. Could please cite me such a table on the web.
Jul
16
asked Trying to solve $\int{-2\exp{\left(z\cos^2 \theta \frac{\left(a^2 - 1\right)}{2a^2}\right)}}d\theta$
Jul
2
awarded  Curious
Jul
2
awarded  Inquisitive
May
30
accepted A question on Lebesgue Measure
May
24
comment A question on Lebesgue Measure
actuallly i think i can prove a tighter bounds on $ 0 < \sum_{k}{\mu(F_k)} < 1$. Not sure how to use this info now though.
May
24
comment A question on Lebesgue Measure
I think i only know that $0 \le \sum_{k}{\mu(F_k)} \le n$, and similar upper bound also exists on $n-1 \le \sum_{k}{\mu(E_k)} \le n$. Am i missing something ?
May
24
asked A question on Lebesgue Measure
May
11
awarded  Notable Question