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#26 2011-07-25 23:36:50
- bobbym
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Re: Exponential integral
Hi;
Have you asked sage what that product is, just to see?
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#27 2011-07-25 23:48:19
- gAr
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Re: Exponential integral
Sage supports product only for a list of numbers, not infinite product, I guess.
But I tested it in wolfram, the product is correct.
Last edited by gAr (2011-07-25 23:48:40)
"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."
#28 2011-07-25 23:53:05
- bobbym
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Re: Exponential integral
Hi gAr;
Did you get
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#29 2011-07-25 23:59:38
- gAr
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Re: Exponential integral
Hi,
Yes.
The form it showed is:
It had gamma functions in the partial product formula.
"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."
#30 2011-07-26 00:39:16
- bobbym
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Re: Exponential integral
Hi gAr;
I am not getting anywhere with that product.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#31 2011-07-26 01:02:35
- gAr
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Re: Exponential integral
Hi bobbym,
Okay.
Anyway, I could get somewhere with that integral!
It's explained in Richard courant's book, "Differential and integral calculus" vol II
"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."
#32 2011-07-26 01:22:15
- bobbym
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Re: Exponential integral
Hi gAr;
Very good! Thanks for providing that.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#33 2011-07-26 02:07:40
- gAr
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Re: Exponential integral
You're welcome!
"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."
#34 2011-07-26 16:01:06
- bobbym
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Re: Exponential integral
I finally finished the D Knuth video without interruption. It was very enjoyable.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#35 2011-07-26 16:03:57
- gAr
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Re: Exponential integral
Hi,
So, the full problem was to evaluate:
and the
Hi bobbym,
Yes, I too enjoyed the video!
Last edited by gAr (2011-07-26 16:05:41)
"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."
#36 2011-07-26 16:11:34
- bobbym
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Re: Exponential integral
Hi gAr;
Did you submit the solution to that page yet?
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#37 2011-07-26 16:16:18
- gAr
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Re: Exponential integral
Hi bobbym,
No, I didn't.
Did he solve it, and didn't post the solution because it isn't published yet?
"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."
#38 2011-07-26 16:23:48
- bobbym
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Re: Exponential integral
Hi gAr;
I do not know. I did not find a solution to that problem anywhere on the net. Yours might be unique.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#39 2011-07-26 16:29:00
- gAr
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Re: Exponential integral
Hmmm, okay.
The first problem that I have solved from the monthly!
Anyway, since it isn't free, we may not find it on the net.
"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."
#40 2011-07-26 16:31:31
- bobbym
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Re: Exponential integral
Hi gAr;
Sometimes you can. That crazy integral was on the internet. That is where I got his pdf.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#41 2011-07-26 16:35:06
- gAr
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Re: Exponential integral
Hi,
That's true.
But it's very difficult to search for equations, since mathematical operatos are ignored or have a different meaning for the search engines.
"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."
#42 2011-07-26 16:36:44
- bobbym
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Re: Exponential integral
Hi gAr;
Search by the AM number, each problem has one.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#43 2011-07-26 16:39:42
- gAr
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Re: Exponential integral
Hi,
Yes, for this case we can search something.
I'm telling in general, where we know only the equation or integral etc.
I'll take a short break, see you later.
"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."
#44 2011-07-26 16:42:21
- bobbym
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Re: Exponential integral
That is generally true it is very hard to get Google to understand.
See you soon.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.