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Old 05-03-2011, 12:09 PM   #11
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Default Re: Is this computer learning?

Eh? The indefinite integral to sin(x)/x is Si(x) + C...
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Old 05-03-2011, 12:10 PM   #12
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Default Re: Is this computer learning?

You're only cheating your self. God I sound like my German teacher.
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Old 05-04-2011, 02:37 PM   #13
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Default Re: Is this computer learning?

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Originally Posted by j03 View Post
Yeah, that's for the definate integral - as in a numerical answer. It's impossible to get a finite algebraic answer to the integral of sin(x)/x
In a manner of speaking, you can't get a finite answer to sin(x) or cos (x) either.

Here's what I'm getting at. Sin(x) + C is the integral of cos(x). Now sin(x) ranges from -1 to +1 which includes an infinity of irrational numbers (e.g. the square root of 2 divided by 2). When you express an irrational number as a decimal, then it's not closed as it keeps going on forever so expressions such as sin(x) and cos(x) I don't regard as being truly closed form expressions (which makes me an intuitionist to an extent just like Kronecker and Brouwer were).
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Old 05-04-2011, 07:17 PM   #14
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In a manner of speaking, you can't get a finite answer to sin(x) or cos (x) either.

Here's what I'm getting at. Sin(x) + C is the integral of cos(x). Now sin(x) ranges from -1 to +1 which includes an infinity of irrational numbers (e.g. the square root of 2 divided by 2). When you express an irrational number as a decimal, then it's not closed as it keeps going on forever so expressions such as sin(x) and cos(x) I don't regard as being truly closed form expressions (which makes me an intuitionist to an extent just like Kronecker and Brouwer were).
Just stop. Please.
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