By Kenneth S Miller

ISBN-10: 048662661X

ISBN-13: 9780486626611

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Second, LISP i s n o t o n l y a m a t h e m a t i c a l l a n g u a g e b u t a l s o a l a n g u a g e f o r i n s t r u c t i n g computers. So i n s t e a d o f humanly v e r i f y i n g a symbolic m a t h e m a t i c a l c a l c u l a t i o n , i f i t i s e x p r e s s e d i n LISP, we can p u t i t on a computer and have t h e computer v e r i f y i t . T h i r d , t h e r e a p p e a r s t o be no b a r r i e r t o p u t t i n g i n t o LISP any k i n d of l o g i c a l o r m a t h e m a t i c a l m a n i p u l a t i o n t h a t may be des i r e d .

9. The Function ASSOC The l i s t f u n c t i o n ASSOC i s given an element and a l i s t cons i s t i n g of p a i r s of e l e m e n t s . The f u n c t i o n looks through t h e l i s t , and f i n d s t h e " a s s o c i a t e d " p a i r which has t h e given element a s i t s f i r s t member. For example, suppose 513 i s t h e name of a l i s t : ( ( 1 3) ( 2 6 ) ( 3 1 1 ) ( 4 1 4 ) ) and suppose t h e given element i s 3. Then ASSOC w i l l f i n d and r e p o r t (3 11) a s t h e a s s o c i a t e d p a i r of 3 i n t h e l i s t 313.

Of Technology on Feb. 7 , 1964. A LISP system working under t h e Compatible TimeS h a r i n g system was used t o d e f i n e SMALLER, M I N I M U M , DIFFLIST, and SEQUENCE, and t o t r y two t e s t s of s e q u e n c i n g numbers. F o l l o w i n g i s a copy o f t h e a c t u a l r u n on t h e computer a t one of t h e time s h a r i n g s t a t i o n s . The t o t a l computer time used f o r e d i t i n g and computing was 1 and % m i n u t e s . Input PRINTF LISP DATA WAIT, 00010 DEFINE ( ( 00020 t SMALLER (LAMBDA ( X Y) COND 00030 ((GREATERP Y XI X) 00040 (T Y ) ) ) ) 00050 (MINM (LAMBDA (LI (@ND 00060 ((NULL L) NIL) O00 70 ((NULL (CDR L I ) (CAR L I ) 00080 (T (SMALLER (CAR LI (MINM (CDR L ) ) ) ) ) ) ) 00090 (DIFFLIST (LAMBDA ( A X) (C@ND O0100 ((NULL X ) NIL) O01 1 0 ((EQUAL A (CAR XI) O 0 120 (DIFFLIST A (CDR X ) ) ) O 0 130 (T (CONS (CAR X I (DIFFLIST A (CDR X) 1) 1) 1) 00140 (SEQUENCE (LAMBDA (LI (PROG ( U V W) 00150 (SETQ U L) (SETQ V ( M I N M L I ) (SETQ W NIL) O 0 160 A (COND ((NULL U ) (RETURN w ) ) ) O 0 170 (SETQ V ( M I N M U) 00180 (SETQ U (DIFFLIST V U)) O 0 190 (SETQ W (APPEND W (LIST V I ) ) 00200 (GO A ) ) ) ) 00210 1 ) 00220 SEQUENCE ( ( 1 1 10 7 15 3 ) ) 00230 00240 (LAMBDA O (SEQUENCE (QUOTE (33 1 2 54 7 68 2 ) ) ) ) 00250 (1 00260 STOP) ) READY.

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An introduction to advanced complex calculus by Kenneth S Miller


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