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You are not logged in. #1 20110725 20:01:21
Exponential integralHi, "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #2 20110725 20:42:28
Re: Exponential integralHi gAr; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #3 20110725 20:53:17
Re: Exponential integralHi bobbym, "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #4 20110725 20:56:28
Re: Exponential integralHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #5 20110725 20:59:46
Re: Exponential integralHi bobbym, "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #6 20110725 21:10:45
Re: Exponential integralNothing yet gAr. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #7 20110725 21:21:40
Re: Exponential integralOkay, no problem. I tried expanding, substitution etc., but anyway not an easy one. "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #8 20110725 21:30:38
Re: Exponential integralHi gAr; The above integral does not have a closed form according to Table of Integrals, Series and Products 7th edition p 390. They give a series for the answer, so no closed form. It is easy to see that your integral can be split into 2 integrals that are of that same form. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #9 20110725 21:40:19
Re: Exponential integralHi bobbym, "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #10 20110725 21:45:07
Re: Exponential integralHi gAr; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #11 20110725 21:48:40
Re: Exponential integralOkay. "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #12 20110725 21:52:42
Re: Exponential integralWhat I do not like is that when I split the numerator, suddenly the first integral no longer converges. That x in the denominator is now a problem. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #13 20110725 21:54:41
Re: Exponential integralYes, that's a big problem. "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #14 20110725 22:13:32
Re: Exponential integralHi; I need to put beta = 0 but there are conditions. Yikes! I just saw it now, it zeroes the argument of the exponential integral! Beta can not be 0. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #15 20110725 22:19:01
Re: Exponential integralIs there any of the form: ? "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #16 20110725 22:21:50
Re: Exponential integralI am still looking, if it does, then you could use it. A table is a valid way to do an integration. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #17 20110725 22:28:22
Re: Exponential integralComputationally, it's easy to verify. But I can't derive it. "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #18 20110725 22:30:23
Re: Exponential integralBingo! In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #19 20110725 22:41:06
Re: Exponential integralThat's cool! "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #20 20110725 22:45:43
Re: Exponential integralHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #21 20110725 23:01:35
Re: Exponential integralHmmm, it would be nice if I could get a way to derive it. "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #22 20110725 23:10:26
Re: Exponential integralHi gAr; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #23 20110725 23:12:16
Re: Exponential integralYeah, but is it a good way to solve a problem?! "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #24 20110725 23:17:04
Re: Exponential integralDepends. If you are working on something larger than you do not want to get tied up on a tiny detail. Here, it is not helpful to use a table or a package. But what else is there? In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #25 20110725 23:23:06
Re: Exponential integralEvaluating that product would solve the integral. "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." 