# Download American Math. Soc. Semicentennial Pubs (Vol 1 of 2) by R. Archibald PDF

By R. Archibald

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**Extra resources for American Math. Soc. Semicentennial Pubs (Vol 1 of 2)**

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In order t o improve t h i s formula it would be n e c e s s a r y t o make some estimate of t h e e f f e c t Df t h e d e v i a t i o n ' s of the t r u e n e u t r o n d e n s i t y from t h e adymptotic e x p r e s s i o n near t h e core s u r f a c e . Pririhd on DIETZGEN #198M "AGEPROOF" tracing p a w , I n t h e c a s e of a core i n w h i c h 667 028 . . ? -29- ^ " i \ t h e mean f r e e &pith i s t h e same a s i n t h e tamper, it i s p o s s i b l e t o o b t a i n c o n s i d e r a b l e i r k o r n a t i o n a b o u t this d e v i a t i o n from a d i r e c t a n a l y s i s of t h e i n t e g r t l l e q u a t i o n ( s e e 1A 53 ) .

The combination o f t h e s e f a c t s t o g i v e an improved fornula has n o t been c a r r i e d out. One c a n t r y also t o f i n d t h e e x t r a a b s o r p t i o n i n a n i n f i n i t e tamper which would g i v e t h e same a b s o r p t i o n a s a f i n i t e one. from t h e d e r i v a t i o n o f (40) . This method is c l e a r The r e s u i t i s t h a t t h e e q u i v a l e n t a b s o r p t i o n \ c o n s t a n t h' f o r i n f i n i t e tamper i s given by h'= h / tanh a t h (b-f x 0 - a) -_ \ , Printed on DIETZGEN g l 9 8 M "AGEPROOF" tracing p a w x..

Furthermore, t h e oomplioated e x p r e s s i m , depending upon g and h, i n ' t h e p a r e n t h e s i s o f e x p r e s s i o n (521, is e q u a l t o 1 w i t h i n 1 0 S a s long a s g i s l e s s than Since t h i s i s u s u a l l y the case, we can u s u a l l y use a more simple e x p r e s s i o n : (53) I. - In order t o improve t h i s formula it would be n e c e s s a r y t o make some estimate of t h e e f f e c t Df t h e d e v i a t i o n ' s of the t r u e n e u t r o n d e n s i t y from t h e adymptotic e x p r e s s i o n near t h e core s u r f a c e .