LISP I Programmer's Manual - Software Preservation Group

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For example,1(a)(b)(,) - d e is written asFor further discussion of the smplfy function, seeGoldberg, Solomon H., "Solution of an Electrical Network usinga Digital ~omputer", S.M. Thesis, Course VI, M.I.T., August,1959distrb[e;p] : machine languageThe function dstrb will distribute conditionally theproducts of sums appearing in the expression e. The propositionp determines whether a given sum is to be distributed,Thus in the following example let the proposition p of a sumbe that "if y is included in a sum, do not distribute thissum", then(x+a ) (y+z+b ) (w+2)distributes to(xw) (y+z+b )+ (2x) (y+z+b)+ (aw) (y+z+b)+ (2a) (y+z+b)For the correct notation for sums and products in <strong>LISP</strong> seeabove under the function smplfy.diff [y;x] : machine languageThe function diff differentiates the algebraic expressiony, with respect to x. The value of diff is the (unsimplified)algebraic expression, . Gradients must be provided on3 xthe association lists of all the functions used in the expression,y, except for PLUS and TIMES. See the notation andreference given under smplfy.
matrixmultiply[x;y] : machine languageThis function has as value a matrix' which ,is the productof the row matrix, x, and the column matrix, y. The two matricesare entered either as direct functional arguments inmatrixmultiply or from being given on the p-list, For ex-ample, if the matrixis to be multiplied by itself, the two arguments, for theAPPLY operator are in the formActually any atomic symbols may be used in place of ROW or COL.It is only necessary that the rest of each sublist be the elementsof the row matrix and the column matrix to the right or-der. See page 126 of the following reference where this functionwas developed,Goldberg, Solomon H., "solution of an Electrical Networkusing a Digital Computer", S.M. Thesis, Course VI, M.I.T.,AU~US t , 1959.reduce [ m] : machine language- The function reduce reduces an ngn matrix to an (n-l)g(n-I) matrix. The function has been used in electrical networkreduction. See the references under reducetonxn below.
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Artificial Intelli~cnce GroupJ. McC
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Contents1 . Introduction ..........
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2. Recursive Functions of Symbolic
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expression was, defined, the meanin
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Let f be an expression that stands
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There is a twofold reason for depar
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2, eq - 4eq[x;y] is defined if and
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2. sub~t[x;~;z]This function gives
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z;eq[caar[x];z]sub2[x;~];~((u1,vi)
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The S-functLon apply is defined byI
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The list p - could be eliminated, a
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3. LISP PrimerThe features of LISP
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The answer ( ((x A) B) (X A) ) will
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one introducing it into the consequ
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h,~~,pand)Y,SP5a. Rule4>: If j,++h,
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to one of the 10 rules. The formula
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(~111(LAMBDA( ~1 A2 A C) (COND ((NU
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This causes the functions mentioned
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4. The LISP Programming SystemIn th
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Example 3:The following example, on
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In either case, if a machine-langua
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Note that the argument x starts wit
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sion whose first element may be LAM
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5 = (atomic function, arguments): C
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- PROG is a special form described
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When a list beginning with GO is en
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Since the program feature will be u
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and goes ahead after printing out(f
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eturn[fn[a]In terms of the M-type n
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( , SXD, G0011,4),LD&,G0002)( ,C;LA
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push-down(MAPLIST,BSS, 0)( ,SXD,GOO
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Ls.( ,O,U( ,STO,G0015)( , LXD, $FRE
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Running a LISP ProgramIn this secti
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SET :Note:FLX*:CRD*:FIN:This card w
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Sense switches used:SWITCH NUMBERUS
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The Flexowriter Sys tem (for M.1.T.
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indicates carriage returnindicates
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TEN-ModeThere are ten buffers of co
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ErrorsTyping errors may be erased b
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(from the tab type-in) will be proc
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answerTENCAR ((A@) 0- LINE NUMBER M
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6. List StructuresMuch of the follo
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y either the list structure of Fig.
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which is represented asFirst we con
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the location of the association lis
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and the decrement of the TXL instru
Page 99 and 100: the 2's (8's) complement of an octa
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Page 103: garbage collector does a linear swe
Page 106 and 107: The function collapse, is defined a
Page 108 and 109: THE TIME IS NOW 2/16 1139.7FUNCTION
Page 110 and 111: DEFINE( ( (RVRSE, (LAMBDA, (L ) JCO
Page 113 and 114: 8. Error Indications Given by LISPB
Page 115 and 116: Errors due to computer inadequacies
Page 117 and 118: Errors during the operation of the
Page 119 and 120: 9. Functions Available in LISPIn th
Page 121 and 122: s[x;y] : machine languageThe value
Page 123 and 124: eval[e;b] - : machine languageThe r
Page 125 and 126: Defining Functions:The argument of
Page 127 and 128: MORE]nconc[x;y]: machine languageTh
Page 129 and 130: evaluated functions. - map is used
Page 131 and 132: -ins t [x;y; z]: machine languageHe
Page 133 and 134: prog[prin2[d~rinl[~];The function p
Page 135 and 136: puncha[x] : machine languageThe fun
Page 137 and 138: 9.2 Special Formsquote : machine la
Page 139 and 140: function[ f ] : machine language; s
Page 141 and 142: desc[cdr[x];cdr[y]-desc[x;y] : mach
Page 143 and 144: eturn[^]intv[x] : machine language;
Page 145 and 146: The program for compsrch has the pr
Page 147 and 148: NIL;T+The value of - cpl is the loc
Page 149: --- ~reaterlp; q] : machine languag
Page 153 and 154: 9.5 Alphabetic Index to FunctionsFu
Page 155 and 156: Function Page .mapcon .............
Page 157 and 158: GENERAL INDEXActive register, 96APP
Page 159 and 160: GENERAL INDEXFunctions, 3alphabetic
Page 161 and 162: GENERAL INDEXPropositionalcalculus;
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