396 Mr. A. J. Ellis. Improved Bimodular Method of [Feb. 3, 



JSx. 3. To Table II. Given the tab. log N, to eighteen places of 

 decimals, to find 1ST to the greatest possible number of digits. This 

 process is entirely new, and depends upon Section II, eq. (7). 





a— tab. log 1ST. 



11-284 881 553 684 



748 112 



a 





b = tab. log 10 n + tab. log 1' 



9. 11-278 753 600 952 828 962 



h 





c = a — b. 





•006 127 952 731 



919 150 



c 





<Z=tab. log 1-014 





•006 037 954 997 317 171 



d 





tab. log e — c — d. 





•000 089 997 734 



601 979 tab. log e 





f= correction, see below. 







322 066 



f 





tab. log e' — tab. log e—f. 





•000 089 997 734 279 913 tab. log e' 





7i:=bimodnlus. 





•868 588 963 806 



503 655 



h 



1 



•868 498 966 072 223 



742)-868 678 961 540 783 568 



h 









868 498 966 072 



223 742 



(1 



e 



1-000 207 248 915 1(8(7 4 



179 995 468 



559 826 





m 



10 002 072 489 151 



9 



173 699 793 



214 445 



(0002 



n 



4 000 828 995 660 



7 



6 295 675 



345 381 





P 



1-014 210 150 400 000 (0 



6 079 492 



762 505 



(07 





•912 789 135 360 000 







216 182 



582 876 





1ST 1926 999 285 76'0 000 







173 699 



793 214 



(2 









42 482 



789 662 







l-=h-\- tab. log e' . 





34 739 



958 643 



(4 



» 



l = h— tab. log e' . 





7 742 831 019 







e=Jc+l. 





6 947 991 728 



(8 





m = e x -01. 





794 839 291 







n = ex -004. 





781 



649 069 



(9 





p = e+m+n=e X 1'014. 





13 



190 222 







q=2jx -09. 





8 



684 990 



(1 





N= (p + q) -10 n =p x 109 x 10 11 . 4 



505 232 











4 



342 495 



(5 





Calculation of/ — 







162 737 







=tab.loge= '0 4 899 9 77 



tak 



en as quotient in 



86 850 



(1 



s = 



= tab. log?— -954 2314- 



- 5 



Table II, No. 5. 



75 887 







35=2-862 6942- 



-15 





69 480 



(8 





t= -645 2501- 



- 1 





6 407 





3.« 



,- + ^=log/= -507 9443- 



-13 





6 079 



(7 











328 













260 



(3 











68 





