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#101 2016-11-05 08:16:00
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Sum of an integral involving Bessel functions
That could account for some of the differences.
I can plot that integrand but I do not understand the plot that I can see.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#102 2016-11-05 08:17:42
#103 2016-11-05 08:27:24
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Sum of an integral involving Bessel functions
Hold on I will upload some images.
Might be easier to give the commands.
RegionPlot[((x^2 + y^2)^(-1/2)) (((100 - x)^2 + (100 - y)^2)^(-1/2))*
BesselJ[1, (x^2 + y^2)^(1/2)]*BesselJ[1, (((100 - x)^2 + (100 - y)^2)^(1/2))] > 0, {x, -10, 10}, {y, -10, 10}]RegionPlot[((x^2 + y^2)^(-1/2)) (((100 - x)^2 + (100 - y)^2)^(-1/2))*
BesselJ[1, (x^2 + y^2)^(1/2)]*BesselJ[1, (((100 - x)^2 + (100 - y)^2)^(1/2))] < 0, {x, -10, 10}, {y, -10, 10}]In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#104 2016-11-05 08:44:21
#105 2016-11-05 09:15:00
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Sum of an integral involving Bessel functions
I have no idea what that means except it seems to indicate that integrand is sometimes positive and sometimes not.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#106 2016-11-06 07:30:34
#107 2016-11-06 11:38:34
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Sum of an integral involving Bessel functions
I do not know how the entire world feels about that but I generally avoid doing that.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#108 2016-11-06 21:02:39
#109 2016-11-07 05:22:00
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Sum of an integral involving Bessel functions
Hi;
Bounties do not really make anyone smarter than they were before. Still, that is a possibility. How much will you offer?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#110 2016-11-08 01:17:54
Re: Sum of an integral involving Bessel functions
I'd offer the minimum if I were offering a bounty. But it might also be worth contacting my supervisor -- I haven't heard from him yet though (I sent him my proof on Thursday, but he's currently away so will probably not be able to get back to me for a while).
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#111 2016-11-08 03:21:44
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Sum of an integral involving Bessel functions
What place will you post the bounty?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#112 2016-11-08 03:23:57
#113 2016-11-08 03:33:05
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Sum of an integral involving Bessel functions
There are pros and cons. The people on the MathSE that could answer already have gazillions of rep points. A bounty may not interest them. The ones that might answer attracted by the bounty are more unknown.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline