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How is a double exponent integrated? Perhaps integration by substitution? What would be the solution to this? . While we're on integration by substitution, how is the value of determined. I know in substitution it is normally replaced by , but based upon what is substituted, how is the expression for obtained? Thanks very much :), Zrs 12 ( talk) 02:46, 7 May 2008 (UTC)
"A recursively defined set with a successor function of the form , where is a positive integer, is freely generated if both is injective and the image of S does not contain any elements introduced in the basis".
Could you possibly define what "image" means in this context? For example, if the basis of with then S(0, 1) and S(1, 0) = 1, which was already defined in the basis - thus it is not freely generated- i.e., the image is all subsequently generated elements of after the basis?
Damien Karras ( talk) 07:09, 7 May 2008 (UTC)
Mathematics desk | ||
---|---|---|
< May 6 | << Apr | May | Jun >> | May 8 > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
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The page you are currently viewing is a transcluded archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
How is a double exponent integrated? Perhaps integration by substitution? What would be the solution to this? . While we're on integration by substitution, how is the value of determined. I know in substitution it is normally replaced by , but based upon what is substituted, how is the expression for obtained? Thanks very much :), Zrs 12 ( talk) 02:46, 7 May 2008 (UTC)
"A recursively defined set with a successor function of the form , where is a positive integer, is freely generated if both is injective and the image of S does not contain any elements introduced in the basis".
Could you possibly define what "image" means in this context? For example, if the basis of with then S(0, 1) and S(1, 0) = 1, which was already defined in the basis - thus it is not freely generated- i.e., the image is all subsequently generated elements of after the basis?
Damien Karras ( talk) 07:09, 7 May 2008 (UTC)