/*************** -*- Mode: MACSYMA; Package: MAXIMA -*-  ******************/
/***************************************************************************
***                                                                    *****
***     Copyright (c) 1984 by William Schelter,University of Texas     *****
***     All rights reserved                                            *****
***************************************************************************/
KILL(ALL);
DONE$
N!/(N+1)!;
N!/(N+1)!$
MINFACTORIAL(%);
1/(N+1)$
(N+1)^2*N!^2;
(N+1)^2*N!^2$
FACTCOMB(%);
(N+1)!^2$
QUNIT(17);
SQRT(17)+4$
EXPAND(%*(SQRT(17)-4));
1$
CF([1,2,-3]+[1,-2,1]);
[1,1,1,2]$
CFDISREP(%);
1+1/(1+1/(1+1/2))$
CFLENGTH:4;
4$
CF(SQRT(3));
[1,1,2,1,2,1,2,1,2]$
CFEXPAND(%);
MATRIX([265,97],[153,56])$
EV(%[1,2]/%[2,2],NUMER);
1.73214285$
CF([1,2,-3]+[1,-2,1]);
[1,1,1,2]$
CFDISREP(%);
1+1/(1+1/(1+1/2))$
CFLENGTH:4;
4$
CF(SQRT(3));
[1,1,2,1,2,1,2,1,2]$
CFEXPAND(%);
MATRIX([265,97],[153,56])$
EV(%[1,2]/%[2,2],NUMER);
1.73214285$
DECLARE(J,EVEN);
DONE$
FEATUREP(J,INTEGER);
TRUE$
MAP(F,X+A*Y+B*Z);
F(B*Z)+F(A*Y)+F(X)$
MAP(LAMBDA([U],PARTFRAC(U,X)),X+1/(X^3+4*X^2+5*X+2));
1/(X+2)-1/(X+1)+1/(X+1)^2+X$
MAP(RATSIMP,X/(X^2+X)+(Y^2+Y)/Y);
Y+1/(X+1)+1$
MAP("=",[A,B],[-0.5,3]);
[A = -0.5,B = 3]$
FULLMAP(G,A+B*C);
G(B)*G(C)+G(A)$
MAP(G,A+B*C);
G(B*C)+G(A)$
FULLMAPL("+",[3,[4,5]],[[A,1],[0,-1.5]]);
[[A+3,4],[4,3.5]]$
EXP1:(A^2+2*A+1)*Y+X^2;
(A^2+2*A+1)*Y+X^2$
SCANMAP(FACTOR,%);
(A+1)^2*Y+X^2$
U*V^(A*X+B)+C;
U*V^(A*X+B)+C$
SCANMAP('F,%);
F(F(F(U)*F(F(V)^F(F(F(A)*F(X))+F(B))))+F(C))$
APPEND([Y+X,0,-3.2],[2.5E+20,X]);
[Y+X,0,-3.2,2.5E+20,X]$
UNION(X,Y):=IF X = [] THEN Y
       ELSE (IF MEMBER(T:FIRST(X),Y) THEN UNION(REST(X),Y)
		 ELSE CONS(T,UNION(REST(X),Y)));
UNION(X,Y):=IF X = [] THEN Y
       ELSE (IF MEMBER(T:FIRST(X),Y) THEN UNION(REST(X),Y)
		 ELSE CONS(T,UNION(REST(X),Y)))$
UNION([A,B,1,1/2,X^2],[-X^2,A,Y,1/2]);
[B,1,X^2,-X^2,A,Y,1/2]$
BERNPOLY(X,5);
X^5-5*X^4/2+5*X^3/3-X/6$
MAPLIST(NUMFACTOR,%);
[1,-5/2,5/3,-1/6]$
APPLY(MIN,%);
-5/2$