- #1
zetafunction
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- 0
let be an integral on R^3 (imporper integral over all space)
[tex] \int_{-\infty}^{\infty}dx \int_{-\infty}^{\infty}dy \int_{-\infty}^{\infty}dz f(x,y,z) [/tex]
the integral is convergent , my question is if i can make a change of variable to spherical coordinates and then use MONTECARLO INTEGRATION to get rid of the angles so in the end we have an (approximate) sum of one dimensional integrals o the form
[tex] \int_{0}^{\infty} r^{2}drg(r) [/tex]
for some g(r)
[tex] \int_{-\infty}^{\infty}dx \int_{-\infty}^{\infty}dy \int_{-\infty}^{\infty}dz f(x,y,z) [/tex]
the integral is convergent , my question is if i can make a change of variable to spherical coordinates and then use MONTECARLO INTEGRATION to get rid of the angles so in the end we have an (approximate) sum of one dimensional integrals o the form
[tex] \int_{0}^{\infty} r^{2}drg(r) [/tex]
for some g(r)