60 



pitcher: interrelations of 



Proof of m'"""': 



g5j„Z.CZ>__^ 



(2) 

 (3) 

 (4) 

 (5) 

 (6) 

 (7) 

 (8) 

 (9) 



iWW')^ = [all </.=«^'"'<^'> 9 (3 p; a p' ^ p; . 3 . </.,,,.. = (p") )] . 



m'W)^ . 5-, = [all 0''»'-""<"'>] . 5i2 - n (gi52) = 5i = (a-)?'9:>r')*. 



9[)J = [allM""S/xi = 0]. 



dn = [all m""" 5 Ml = 0]. 



m ^ [all m"""]. 



9)J = [allM""%Mi = 0]. 



dn ^ [allM"""]. 



30? = [all;u""SMi = 0]. 



90? ^ [all/x""°]. 



9JJ = [alU""SMi = 0]. 



- + + +;+- 



- + + -;-- 

 + - + -; 



+ +--;+- 



+ ; - - 



spin. 



^"'; A™; 

 sj^ni. ^iii. 



Ai'/; 

 A?"; 

 AI"; 

 Al"; 



Ai"; 



(1) 



(2) 

 (3) 

 (4) 

 (5) 

 (6) 

 (7) 

 (8) 

 (9) 



481. L-C DA, 9 examples (§23alli2, 17), on ^1?"- (§44.1), 9 on 



A A'l A', ivi,, ; /v,, Knt 



+ + + +;-+: %v 

 93? = [all M 



ult. constauli* 



[all n 3 (3 2J^ 9 2J ^ ?9^ . D . Mp = Mp J] 



- + + -;- 



- + + +;- 

 + - + -;- 

 -- + -;- 

 + + --;- 



- + --;- 

 + ; - 



s;pni. ^m 

 s;pin. ^m 



^'"; a;j' 



spin, ^m 

 ^ui. ^III 



cniii. Aiii 

 spin: ^iu 



9J? = [all m""-"'""- 3 Ml = 0]. 



9)? 



93? 

 93? 

 Wl 

 93? 

 93? 



[all M 

 [all M 

 [all n' 



nil. cou-^t. 

 ult, const. 

 ult, const. 



ult. CODSt. 



9 Ml = 0]. 



[allM""-™""-] 



a Ml = M-: 

 [all m""- """"•] • 



[all m""-""""- 3 Ml = 0], 

 [all m""- '°""-]. 

 [all m"'"- """'■ 



9 Ml = MaJ 



48m. L-CD'A, 9 examples (§ 23alli2, 17), on W'" (§44.1), Qf 

 o?i iV".— 



A Ki K2 A'].>* ; K,^ Kir 



(l)t + + + +; + -; r'="'; a;'='"; 



ar? = [all M S (i . 3 . (Z Amo)^°""°""") ■ (3 J. 5 J" ^ j; • 3 . Ml; = - M2;)]. 



Proof of dJT^. — Consider sequence [iJin] such that 

 n . 3 . (m„i; = 1/j- (i) . M-.2; = 1// (j < n) . M„2; = - (1//) ( j > n)), 



*Cf. I. G. A., §48d. 



t ^"=111 is denumerable. 



t The following is also an interesting example for this case: 



spiVj ^iv = ordinary development of *:p'^'; 9)! = Fall 2 OipM. 



