Unterschiede

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--- analyticalengine:bernoullinumbercalculation [2015-05-06 18:29] – add remark on using equation 8 over 2 or 3 rainer
+++ analyticalengine:bernoullinumbercalculation [2015-08-26 13:23] (aktuell) – compacted B_7 example calculation rainer
@@ Zeile 51: / Zeile 51: @@
 Thus she probably delibrately took into account the indexing problem.
+While equation (2.) looks fairly simple, it is an inifinite sum of terms, which by itself would rule out using the AE. (Still need to write down examples, as elements to be summed up are not integer numbers.)
+Equation (3.) looks like a finite sequence, but needs some rewriting to avoid arbitrary large numbers as intermediate results. (Would required deeper inspection too.)
+So the version in equation (8.) looks to me the most simple soulution that has a facility of computation; so why did AAL deny this fairly good argument?
@@ Zeile 107: / Zeile 113: @@
 `A_5(4) = -14 * 5/5 * 4/6 = - 28/3`
-`B_7 = 7/18 - 4/6 + 14/30 - 28/(3*42) = (7 - 12)/18 + 7/15 - 14/63 = -5/18 + 7/15 - 14/63 = (-25 + 28)/90 + 14/63 = 17/90 -14/63 = (119 - 140 ) / (7*9*10) = - 21/(7*9*10) = - 1/30`
+`B_7 = 7/18 - 4/6 + 14/30 - 28/(3*42) = (7 - 12)/18 + 7/15 - 2/9 = -5/18 + (21-10)/45 = (-25 + 22)/90 = -3/90 = - 1/30`