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3: J C R~Cat. 4: C H N=C: iθ Ρ: L L k e J + H J + Η + 3 0 Ϊ Η Θ entries reactions, row/column with r. lists sums =£ r . of their j® — + H C H :J J 3 k + H C O H t e i i k j R-Cat. fc + ci-ci «= c H fe Ϊ,Ο + : 0 - Η V θ \ 5 Is P - H 5: H , C - c f · ' >-Cl l HSCJTN' H C£-N=C: 6: HC = C Η I I Hp — C H HC— C Η + C1 5 J R-Cat. ; ACS Symposium Series; American Chemical Society: Washington, DC, 1977. 1. ch002 Ο J I \ ν>ι ι 1 ) W μ* I 1-3 Ρ ? ο φ μ^ M h-^ \ to I \ J P W I \ ) P P K P O ΓθΓ\)θο<ιμ*Γ\)θμ* I I Broken No.

ACS Symposium Series; American Chemical Society: Washington, DC, 1977. 46 COMPUTER-ASSISTED ORGANIC SYNTHESIS group o p e r a t i o n b e i n g v e c t o r a d d i t i o n . Then, Z , i s a f r e e a b e l i a n group of rank s w i t h ( 1 , 0 . . 0 ) , ( 0 , 1 , 0 . . 0 ) ( 0 , . . , 0 , 1 ) a s a b a s i s . Two f r e e a b e l i a n g r o u p s a r e i s o m o r p h i c i f , a n d o n l y i f , t h e y h a v e t h e same rank. Therefore, Z a n d S ( n ) a r e i s o m o r p h i c . The i m ­ b e d d i n g o f zs i n R i s a geometric i n t e r p r e t a t i o n of S(n).

0 ) , ( 0 , 1 , 0 . . 0 ) ( 0 , . . , 0 , 1 ) a s a b a s i s . Two f r e e a b e l i a n g r o u p s a r e i s o m o r p h i c i f , a n d o n l y i f , t h e y h a v e t h e same rank. Therefore, Z a n d S ( n ) a r e i s o m o r p h i c . The i m ­ b e d d i n g o f zs i n R i s a geometric i n t e r p r e t a t i o n of S(n). ch002 The B E - m a t r i c e s a r e c o n t a i n e d i n B ( n ) < S ( n ) , t h e s e t o f a l l η χ η symmetric m a t r i c e s w i t h n o n - n e g a t i v e integral e n t r i e s .

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