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continuum sum again - Printable Version +- Tetration Forum (https://tetrationforum.org) +-- Forum: Tetration and Related Topics (https://tetrationforum.org/forumdisplay.php?fid=1) +--- Forum: Mathematical and General Discussion (https://tetrationforum.org/forumdisplay.php?fid=3) +--- Thread: continuum sum again (/showthread.php?tid=582) |
continuum sum again - tommy1729 - 02/10/2011 about the continuum sum again : we already know how to get the continuum sum analogue of an integral of an entire function. for non-entire functions i suggest that the continuum sum is the analogue of the cauchy principle value and by taking the usual continuum sum as analogue of the integral ; we can have a continuum sum analogue of the Sokhatsky–Weierstrass theorem ! this advances continuum sum theory a step further i believe. gotta run tommy1729 |