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visits member for 11 months
seen May 13 at 21:41
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Apr
17
accepted A transcendental equation
Apr
17
asked Interpreting a Green's function
Apr
16
comment About calculating a Green's function
@Ron Gordon I have added a sub part to the question.
Apr
16
revised About calculating a Green's function
added 425 characters in body
Apr
14
comment About calculating a Green's function
@Ron Gordon Great! Hope to see your explanations for this question. (..Also you can see another Green's function question that I have asked - with coupled differential equations...)
Apr
13
comment About calculating a Green's function
@Ron Gordon x goes between 0 and 1 - but this is a physics detail - does it mathematically matter?
Apr
13
asked About calculating a Green's function
Apr
11
comment How can the general Green's function of a linear homogeneous differential equation be derived?
@RonGordon I guess the point is that $\lambda$ makes sense only when the differential operator is sourced - then arbitrary Lambda are allowed and then the source propagated with this $G_\lamda$. If the source is 0 then only $\lambda$ that makes sense are the $\lambda_n$ - the eigenvalues of the operator. So one never has the $\lambda = \lambda_n$ singularity since one never uses this Green's function in the absence of a source - which will allow lambda to be chosen arbitrarily.
Apr
11
comment How can the general Green's function of a linear homogeneous differential equation be derived?
@RonGordon So what are the $\lambda_n$ in that other question? (..aren't both the $\lambda _n$ also 1/4 for both the eigen functions and then here the denominator becomes 0..) And how will you get a split function from this formalism? In that other question how does $y(0)$ condition become the $G(x<x')$ condition and vice-versa for $y(\pi)$? I don't get this translation.
Apr
11
comment How can the general Green's function of a linear homogeneous differential equation be derived?
@Ron Gordon So what is $\lambda$ here? Who determines that? How does this method match with the method you said here - math.stackexchange.com/questions/284870/…
Mar
22
awarded  Tumbleweed
Mar
15
asked Number of partitions of a set of n distinct objects
Feb
26
comment A transcendental equation
Why are you looking at the function "y= z tan z" ? I would think you should look at $y = (tan z)/z" (..if you want to intersect it with "-1/Sqrt(z_0^2 - z^2)"..)
Feb
25
comment A transcendental equation
@Kaster I haven't been very careful about "min" vs "inf". I would like to know what is the answer, however accurately it can be given.
Feb
25
asked A transcendental equation
Oct
24
accepted Some questions about representations of $SO(6)$
Oct
24
accepted Some manipulations on a Riemannian manifold
Oct
24
comment A (contour?) integration (even if by using Mathematica!)
@DonAntonio I can see your observation, May be you can look through my questions and suggest if there is any answer which I should have accepted but I didn't. I see most of my questions being unanswered and only some of the answers that have come are really complete or very useful. If I have missed any then may be you can point out.
Oct
24
revised A (contour?) integration (even if by using Mathematica!)
added 168 characters in body; edited tags; edited title
Oct
17
comment Some manipulations on a Riemannian manifold
Thanks for the help. You can see my comment above for a reference to these. Can you explain what you mean by ``exponential map of point $\phi$ in the diretion if $\xi$" - can you kindly elaborate on that? Like I would have thought that $e^\xi$ is already a point on the manifold then what is $e^{\xi}\phi$? - what is this implicit "multiplication" ?