62 pitcher: interrelations of 



considerations it is not difficult to show that in the present case 



W 



. z> 



(Wm") * = S-12 = [all 0^"^""""' 9 (3 j, 9 j ^ i, . 13 . <Ai,p-. = ip") ) 

 . (0 . : D : . 3 m'm" 9 e : id : 3 je 9 ii ^ J<, ■ J2 ^ je 



- - : <LV' 



- - :^ 



^Is 



l/lljlll 



,112111 _ 



,Il2lII . 



, ,Il2lII 



- - : ^;^ 



,^,112111 





,,11.111 



48o. L C~D-A, 7 examples (§ 23al4i2)*, on ^1^- ( § 44.1), 7 on ^;^"'. 

 — We define the following class of functions on •iJ.V'^ni. 



90J = [all M 9 1.3. m';"°]- 



The classes of functions on 'J.^"'^"' of this set of examples are all sub- 

 classes of 9)?, the functions of which satisfy certain further specified 

 conditions. 



A A', K-iK^t 



- + + - 

 + - + - 



- - : ^1?"='"; AP^'"; m - [all m a J • 3 • /^i. = - M2,]. 



- - : is"="i; A'/="'; 50?, - [all m ? (mh = M21) 



. (i > 1 .3.M1; = - M2j)] 



-- + -;--: i^"='"; A5'="i; gOJi - [all m 9 j . 3 . mi; = - /^2.]. 



+ + ; : i^"="'; Al'^'"; 50? ^ [all m 9 (i . id . m""'") 



. [j .^.fj.3j = 1/2(mi; + M2j))]. 

 - + - -; - - -]?"="'; Ai'^'"; a)Ji - [allM3J.3.Mii= " M2.]. 



(1) 

 (2) 



(3) 

 (4) 



(5) 

 (6) 



(7) 



* The reference cited permits 8 examples in this set, but we have neither an example 

 for the composite property (L C'D'A A KiK^-Kut) nor a proposition precluding the ex- 

 istence of such an example. 



+ 



..^112111. 



93?3 = [all M 5 (J > 1 . 3 ■ Ml; = - M2;)]. 



--;--: ^;V'="'; A'/^"'; W, = [all m * j .3- Mi; = -M2;]. 



