422 



DR. W. M. HICKS: A CRITICAL STUDY OF SPECTRAL SERIES. 



of v 1( and the well established, but not yet thoroughly understood, modifications of the 

 e links, although in X this latter is not so marked as in Ag and Au. The material at 



disposal is 



From the D Series. 



1. [16013'45]= 17791-35-v, = 51025'29 + -d(l + 70A 2 ) . . . (p. 404), 



2. [16044-24] = 17829-41 -^-^ = (-3^) 51025'29 + -d!(l + 70A a ) (p. 409), 



3. 19602-66 51025-29 + -d(l + 79A 2 -(S) (p. 403), 



4. [19623-05] = 21400'95-v, -d(l + 79A 2 ) . (p. 403), 



5. 19942-53 (8) ( )-d(l+80A 8 -J 1 ) (p. 396), 



6. 1998972 ( )-d (l + 80A a ) . (p. 396), 



7. 20021-66 = (-3<?,)( )-d(l + 80A 2 ) . (p. 396). 



From the F Series. 



8. [3010-35] = 17638'55-2e = 30725'26 



9. 18380-09 =F 3 (2) 



10. 30725'26 + f = d (l) sequent. 



-/(l +90A,) 



(p. 388), 

 (p. 412), 



The relations between the g, have been already determined. = r015'+'03 

 + '2q from the fact that (10) and the sequents of (6) are both d sequents (p. 407). 

 Here q is the proportion of maximum error in (6). The "03 may be supposed merged 

 in this and f = 1'Olof'. Also = '+"04 from the fact that (10) and 30740'17 + 

 are both d sequences (p. 412). Within the accuracy attainable for our present 

 purpose we may treat the |'s as all equal. This was certainly not to be expected, 

 for the limit S ( c ), obtained by formula constants from S lines, is in general 

 uncertain to a few units, whilst the , and ', depending on limits found from 

 J (F and F) should be very small. 



The mantissas conditions of the above give (d\ = "04p) 



*1. 769890+ 2'5p, -25'27= 70A, 



*2. 769867+ 2'5p a -25'27f = 70A 2 



3. 868240+ 4-6p-2973f =79A a - 



*4. 868846+ 5'5p 4 -2975= 79A a 



5. 879711+ 4-8p 8 -30-29=80A 2 - 



6. 879853+ 4'8p 6 -30'29= 80A, 



7. 879855+ 4'8jo 7 -30'29^= 80A, 

 *8. 989285+ 35dn -35'4 = 90A 2 -^ 



9. 978842 + 16'4p 9 -120f = 89A 2 

 10,889326+ -30'28= 80A ? + 



A, = 10998'43- 

 = 10998'10- 

 = 10998'16- 

 = 10998'05- 

 = 10998'29- 

 = 1099816- 

 = 10998M8- 

 = 10998'84- 

 = 10998 '22-1 

 = 10998'19- ' 



'036^, 



