\begin{theindex}
\item !*CSYSTEMS global (AVECTOR), \hyperpage{272}
\item $><$
\subitem 3-D vector, \hyperpage{455}
\subitem diphthong, \hyperpage{455}
\item $\mid$\_ operator, \hyperpage{338}
\item (), \hyperpage{620}
\item *
\subitem 3-D vector, \hyperpage{455}
\subitem power series, \hyperpage{575}
\subitem vector, \hyperpage{270}
\item **
\subitem power series, \hyperpage{575}
\item *** (warning message), \hyperpage{622}
\item ***** (error message), \hyperpage{622}, \hyperpage{638}
\item *COMP (fluid), \hyperpage{631, 632}
\item *COMP (global), \hyperpage{660}
\item *COMP variable, \hyperpage{631}
\item *GC (global), \hyperpage{661}
\item *RAISE (global), \hyperpage{617}, \hyperpage{661}
\item +
\subitem 3-D vector, \hyperpage{455}
\subitem power series, \hyperpage{575}
\subitem vector, \hyperpage{270}
\item -
\subitem 3-D vector, \hyperpage{455}
\subitem power series, \hyperpage{575}
\subitem vector, \hyperpage{270}
\item -list, \hyperpage{619}
\item {\tt .}, \hyperpage{245}
\item {\tt . (CONS)}, \hyperpage{60}
\item /
\subitem 3-D vector, \hyperpage{455}
\subitem power series, \hyperpage{575}
\subitem vector, \hyperpage{270}
\item {\tt :-}, \hyperpage{472}
\item ::=, \hyperpage{354}
\item ::=:, \hyperpage{355}
\item :=:, \hyperpage{354}
\item ;BEGIN; marker, \hyperpage{358}
\item ;END; marker, \hyperpage{358}
\item @ operator, \hyperpage{336}
\item [\ldots] syntax, \hyperpage{621}
\item \#
\subitem Hodge-* operator, \hyperpage{338}
\item \$EOF\$ (global), \hyperpage{659}, \hyperpage{661}
\item \$EOL\$ (global), \hyperpage{657}, \hyperpage{659},
\hyperpage{661}
\item \%, \hyperpage{622}
\item \%
\subitem read by READCH, \hyperpage{659}
\item \^{}
\subitem 3-D vector, \hyperpage{455}
\subitem exterior multiplication, \hyperpage{335}
\item \_$\mid$ operator, \hyperpage{337}
\item {\tt \underscore =}, \hyperpage{471}
\item \{\ldots\}
\subitem as syntax, \hyperpage{620}
\item 3j and 6j symbols, \hyperpage{543}
\indexspace
\item {\tt ABAGLISTP}, \hyperpage{248}
\item ABS, \hyperpage{642}
\item {\tt ABS}, \hyperpage{80}
\item {\tt ACFSF}, \hyperpage{497}, \hyperpage{499}
\item {\tt ACOS}, \hyperpage{83}, \hyperpage{86}
\item {\tt ACOSH}, \hyperpage{83}, \hyperpage{86}
\item {\tt ACOT}, \hyperpage{83}, \hyperpage{86}
\item {\tt ACOTH}, \hyperpage{83}, \hyperpage{86}
\item {\tt ACSC}, \hyperpage{83}, \hyperpage{86}
\item {\tt ACSCH}, \hyperpage{83}, \hyperpage{86}
\item ADD1, \hyperpage{642}
\item {\tt ADD\underscore COLUMNS}, \hyperpage{403}, \hyperpage{405}
\item {\tt ADD\underscore ROWS}, \hyperpage{403}
\item {\tt ADD\underscore TO\underscore COLUMNS}, \hyperpage{403},
\hyperpage{405}
\item {\tt ADD\underscore TO\underscore ROWS}, \hyperpage{403},
\hyperpage{405}
\item {\tt ADJ}, \hyperpage{467}
\item {\tt ADJPREC}, \hyperpage{149}
\item Airy functions, \hyperpage{543}
\item {\tt Airy\underscore Ai}, \hyperpage{543}
\item {\tt Airy\underscore Aiprime}, \hyperpage{543}
\item {\tt Airy\underscore Bi}, \hyperpage{543}
\item {\tt Airy\underscore Biprime}, \hyperpage{543}
\item {\tt ALATOMP}, \hyperpage{255}
\item {\tt ALG\underscore TO\underscore SYMB}, \hyperpage{256}
\item {\tt ALGEBRAIC}, \hyperpage{197}
\item Algebraic mode, \hyperpage{197}, \hyperpage{203, 204}
\item {\tt ALGINT}, \hyperpage{193}, \hyperpage{231}
\item alist, \hyperpage{620}
\item alist
\subitem in ASSOC, \hyperpage{648}
\subitem in SASSOC, \hyperpage{651}
\subitem in SUBLIS, \hyperpage{652}
\item {\tt ALKERNP}, \hyperpage{255}
\item {\tt ALL}, \hyperpage{497}
\item {\tt ALL!*}, \hyperpage{352}
\item {\tt ALLBRANCH}, \hyperpage{99}
\item {\tt ALLFAC}, \hyperpage{116}, \hyperpage{119}
\item {\tt allsymmetrybases}, \hyperpage{558}
\item {\tt ALTITUDE}, \hyperpage{364}
\item AND, \hyperpage{640}
\item {\tt AND}, \hyperpage{497}
\item {\tt ANGLE\underscore SUM}, \hyperpage{364}
\item antecedent (cond-form), \hyperpage{620}
\item {\tt ANTICOM}, \hyperpage{320}, \hyperpage{466}
\item {\tt ANTICOMM}, \hyperpage{466}
\item {\tt ANTICOMMUTE}, \hyperpage{467}
\item {\tt ANTISYMMETRIC}, \hyperpage{107}, \hyperpage{320}
\item any, \hyperpage{619}
\item APPEND, \hyperpage{648}
\item {\tt APPEND}, \hyperpage{61}
\item {\tt APPENDN}, \hyperpage{245}
\item APPLY, \hyperpage{653}
\item {\tt APPLYSYM}, \hyperpage{194}, \hyperpage{235}
\item ARBCONST operator, \hyperpage{450}
\item {\tt ARBVARS}, \hyperpage{99}
\item {\tt ARGLENGTH}, \hyperpage{131}
\item {\tt ARNUM}, \hyperpage{194}, \hyperpage{239}
\item {\tt ARRAY}, \hyperpage{75}
\item {\tt ARRAY\underscore TO\underscore LIST}, \hyperpage{259}
\item {\tt ASEC}, \hyperpage{83}, \hyperpage{86}
\item {\tt ASECH}, \hyperpage{83}, \hyperpage{86}
\item {\tt ASFIRST}, \hyperpage{246}
\item {\tt ASFLIST}, \hyperpage{246}
\item {\tt ASIN}, \hyperpage{83}, \hyperpage{86}
\item {\tt ASINH}, \hyperpage{83}, \hyperpage{86}
\item {\tt ASLAST}, \hyperpage{246}
\item {\tt ASREST}, \hyperpage{246}
\item Assignment, \hyperpage{64, 65}, \hyperpage{67}, \hyperpage{72},
\hyperpage{202}, \hyperpage{204}
\item {\tt ASSIST}, \hyperpage{194}, \hyperpage{243}
\item {\tt ASSLIST}, \hyperpage{246}
\item ASSOC, \hyperpage{648}
\item {\tt ASSOC}, \hyperpage{498}
\item association list, \hyperpage{620}
\item {\tt assumptions}, \hyperpage{101}
\item Asymptotic command, \hyperpage{153}, \hyperpage{166}
\item {\tt ATAN}, \hyperpage{83}, \hyperpage{86}, \hyperpage{90}
\item {\tt ATAN2}, \hyperpage{83}, \hyperpage{86}
\item {\tt ATANH}, \hyperpage{83}, \hyperpage{86}
\item {\tt ATENSOR}, \hyperpage{265}
\item ATOM, \hyperpage{623}
\item atom, \hyperpage{619}
\item {\tt AUGMENT}, \hyperpage{328}
\item {\tt AUGMENT\underscore COLUMNS}, \hyperpage{403},
\hyperpage{407}
\item AVEC function, \hyperpage{270}
\item {\tt AVECTOR}, \hyperpage{194}, \hyperpage{269}
\item AVECTOR package
\subitem example, \hyperpage{273--275}
\item {\tt AXP}, \hyperpage{552}
\item {\tt AXX}, \hyperpage{552}
\indexspace
\item {\tt B\underscore PART}, \hyperpage{554}
\item BAG, \hyperpage{247}
\item {\tt BAGLISTP}, \hyperpage{248}
\item {\tt BAGLMAT}, \hyperpage{261}
\item {\tt BAGP}, \hyperpage{248}
\item {\tt BALANCED\underscore MOD}, \hyperpage{149}
\item {\tt BAND\underscore MATRIX}, \hyperpage{404}, \hyperpage{407}
\item {\tt BEGIN \dots END}, \hyperpage{71--74}
\item {\tt BELAST}, \hyperpage{245}
\item {\tt Bernoulli}, \hyperpage{542}
\item Bernoulli numbers, \hyperpage{542}
\item Bernoulli polynomials, \hyperpage{543}
\item {\tt BernoulliP}, \hyperpage{543}
\item {\tt Bernstein\underscore base}, \hyperpage{446}
\item Bessel functions, \hyperpage{542}
\item {\tt BesselI}, \hyperpage{542}
\item {\tt BesselJ}, \hyperpage{542}
\item {\tt BesselK}, \hyperpage{542}
\item {\tt BesselY}, \hyperpage{542}
\item {\tt Beta}, \hyperpage{542}
\item Beta function, \hyperpage{542}
\item {\tt Bezout}, \hyperpage{140}
\item {\tt BF\underscore PART}, \hyperpage{554}
\item {\tt BFSPACE}, \hyperpage{148}
\item {\tt Binomial}, \hyperpage{542}
\item Binomial coefficients, \hyperpage{542}
\item Block, \hyperpage{71}, \hyperpage{74}
\item {\tt BLOCK\underscore MATRIX}, \hyperpage{404},
\hyperpage{407}
\item {\tt BNDEQ!*}, \hyperpage{339}
\item {\tt BOOLEAN}, \hyperpage{194}, \hyperpage{277}
\item Boolean, \hyperpage{55}
\item boolean, \hyperpage{619}
\item {\tt BOS}, \hyperpage{552}
\item {\tt BOTH}, \hyperpage{416}
\item {\tt BOUNDS}, \hyperpage{437}, \hyperpage{443}
\item {\tt BPART}, \hyperpage{554}
\item Buchberger's Algorithm, \hyperpage{375}
\item {\tt BYE}, \hyperpage{77}
\indexspace
\item {\tt C1\underscore CIRCLE}, \hyperpage{364}
\item {\tt CALI}, \hyperpage{194}, \hyperpage{283}
\item Call by value, \hyperpage{187}, \hyperpage{189}
\item CAMAL, \hyperpage{285}
\item {\tt CAMAL}, \hyperpage{194}, \hyperpage{285}
\item Canonical form, \hyperpage{111}
\item {\tt canonicaldecomposition}, \hyperpage{558}
\item CAR, \hyperpage{626}
\item CAR
\subitem composite forms, \hyperpage{626}
\item {\tt CARD\underscore NO}, \hyperpage{123}
\item {\tt CARTAN\underscore SYSTEM}, \hyperpage{329}
\item cartesian coordinates, \hyperpage{453}
\item {\tt Catalan}, \hyperpage{541}
\item {\tt CAUCHY\underscore SYSTEM}, \hyperpage{329}
\item {\tt CC\underscore TANGENT}, \hyperpage{364}
\item CDR, \hyperpage{626}
\item CDR
\subitem composite forms, \hyperpage{626}
\item {\tt CEILING}, \hyperpage{80}
\item Celestial Mechanics, \hyperpage{285}
\item {\tt CFRAC}, \hyperpage{489}
\item {\tt CGB}, \hyperpage{290}
\item {\tt CGBFULLRED}, \hyperpage{294}
\item {\tt CGBGEN}, \hyperpage{292}
\item {\tt CGBGS}, \hyperpage{294}
\item {\tt CGBREAL}, \hyperpage{293}
\item {\tt CGBSTAT}, \hyperpage{294}
\item chain rule, \hyperpage{337}
\item {\tt CHAN}, \hyperpage{554}
\item {\tt CHANGEVAR}, \hyperpage{295}
\item {\tt CHANGEVR}, \hyperpage{194}
\item {\tt CHAR\underscore MATRIX}, \hyperpage{404}, \hyperpage{408}
\item {\tt CHAR\underscore POLY}, \hyperpage{403, 404},
\hyperpage{408}
\item {\tt character}, \hyperpage{558}
\item Character set, \hyperpage{43}
\item {\tt CHARACTERISTIC\underscore VARIETY}, \hyperpage{330}
\item {\tt CHARACTERS}, \hyperpage{329}
\item Chebyshev fit, \hyperpage{437}
\item Chebyshev polynomials, \hyperpage{543}
\item {\tt Chebyshev\underscore base\underscore T}, \hyperpage{446}
\item {\tt Chebyshev\underscore base\underscore U}, \hyperpage{446}
\item {\tt Chebyshev\underscore df}, \hyperpage{443}
\item {\tt Chebyshev\underscore eval}, \hyperpage{444}
\item {\tt Chebyshev\underscore fit}, \hyperpage{443}
\item {\tt Chebyshev\underscore int}, \hyperpage{443}
\item {\tt ChebyshevT}, \hyperpage{543}
\item {\tt ChebyshevU}, \hyperpage{543}
\item {\tt CHECKPROLIST}, \hyperpage{253}
\item {\tt Chi}, \hyperpage{544}
\item {\tt CHIRAL}, \hyperpage{555}
\item {\tt CHIRAL1}, \hyperpage{555}
\item {\tt CHOLESKY}, \hyperpage{404}
\item {\tt CHOOSE\underscore PC}, \hyperpage{364}
\item {\tt CHOOSE\underscore PL}, \hyperpage{365}
\item {\tt Ci}, \hyperpage{544}
\item {\tt CIRCLE}, \hyperpage{365}
\item {\tt CIRCLE1}, \hyperpage{365}
\item {\tt CIRCLE\underscore CENTER}, \hyperpage{365}
\item {\tt CIRCLE\underscore SQRADIUS}, \hyperpage{365}
\item {\tt CL\underscore TANGENT}, \hyperpage{365}
\item {\tt CLEANUP}, \hyperpage{329, 330}
\item {\tt CLEAR}, \hyperpage{156}, \hyperpage{160}, \hyperpage{256}
\item {\tt CLEARBAG}, \hyperpage{247}
\item {\tt CLEARFLAG}, \hyperpage{253}
\item {\tt CLEARFUNCTIONS}, \hyperpage{256}
\item {\tt CLEAROP}, \hyperpage{256}
\item {\tt CLEARPHYSOP}, \hyperpage{463}
\item {\tt CLEARRULES}, \hyperpage{161}
\item Clebsch Gordan coefficients, \hyperpage{543}
\item {\tt Clebsch\underscore Gordan}, \hyperpage{543}
\item CLOSE, \hyperpage{656}
\item {\tt CLOSED}, \hyperpage{330}
\item {\tt CLOSURE}, \hyperpage{329}
\item {\tt COBASIS}, \hyperpage{327}
\item code templates, \hyperpage{358}
\item CODEP, \hyperpage{618}, \hyperpage{623}
\item {\tt COEFF}, \hyperpage{128}
\item {\tt COEFF\underscore MATRIX}, \hyperpage{404}
\item Coefficient, \hyperpage{147--150}
\item {\tt COEFFN}, \hyperpage{129}
\item {\tt COERCEMAT}, \hyperpage{261}
\item {\tt COFACTOR}, \hyperpage{181}
\item coframe, \hyperpage{338}, \hyperpage{341}
\item COFRAME
\subitem WITH METRIC, \hyperpage{341}
\subitem WITH SIGNATURE, \hyperpage{341}
\item {\tt COFRAMING}, \hyperpage{326, 327}
\item {\tt COLLECT}, \hyperpage{67}
\item {\tt COLLINEAR}, \hyperpage{365}
\item {\tt COLUMN\underscore DIM}, \hyperpage{403}, \hyperpage{405}
\item {\tt COMBINATIONS}, \hyperpage{251}
\item {\tt COMBINEEXPT}, \hyperpage{86}
\item {\tt COMBINELOGS}, \hyperpage{85}
\item {\tt COMBNUM}, \hyperpage{250}
\item {\tt COMM}, \hyperpage{466}, \hyperpage{536}
\item Command, \hyperpage{75}
\item Command terminator, \hyperpage{169}
\item {\tt COMMENT}, \hyperpage{48}
\item comments, \hyperpage{622}
\item {\tt COMMUTE}, \hyperpage{467}
\item {\tt COMP}, \hyperpage{219}
\item {\tt COMPACT}, \hyperpage{194}, \hyperpage{297}
\item COMPACT operator, \hyperpage{297}
\item COMPACT package, \hyperpage{297}
\item {\tt COMPANION}, \hyperpage{404}
\item Compiler, \hyperpage{219}
\item {\tt COMPLEX}, \hyperpage{150}
\item Complex coefficient, \hyperpage{150}
\item Compound statement, \hyperpage{70}, \hyperpage{72}
\item COMPRESS, \hyperpage{618}, \hyperpage{628}
\item {\tt CONCURRENT}, \hyperpage{365}
\item COND, \hyperpage{640}
\item cond-form, \hyperpage{620}
\item Conditional statement, \hyperpage{66}
\item {\tt CONJ}, \hyperpage{80}
\item CONS, \hyperpage{626}
\item {\tt CONS}, \hyperpage{245}
\item consequent (cond-form), \hyperpage{620}
\item constant, \hyperpage{619}
\item CONSTANTP, \hyperpage{623}
\item Constructor, \hyperpage{205}
\item {\tt CONT}, \hyperpage{176}
\item {\tt CONTACT}, \hyperpage{326}
\item {\tt CONTFR}, \hyperpage{194}
\item {\tt CONTFRAC}, \hyperpage{489}
\item continuation lines, \hyperpage{357}
\item {\tt contour}, \hyperpage{372}
\item {\tt CONTRACT}, \hyperpage{465}
\item {\tt CONVERT}, \hyperpage{411}
\item {\tt COORDINATES}, \hyperpage{327}, \hyperpage{330}
\item COORDINATES operator, \hyperpage{272}
\item COORDS vector, \hyperpage{272}
\item {\tt COPY\underscore INTO}, \hyperpage{403}, \hyperpage{405}
\item {\tt COS}, \hyperpage{83}, \hyperpage{86}
\item {\tt COSH}, \hyperpage{83}, \hyperpage{86}
\item {\tt COT}, \hyperpage{83}, \hyperpage{86}
\item {\tt COTH}, \hyperpage{83}, \hyperpage{86}
\item {\tt CP}, \hyperpage{554}
\item {\tt CRACK}, \hyperpage{194}, \hyperpage{299}
\item {\tt CRAMER}, \hyperpage{95}, \hyperpage{179}
\item {\tt CREF}, \hyperpage{221, 222}
\item {\tt CRESYS}, \hyperpage{536}
\item {\tt CROSS}, \hyperpage{328}
\item CROSS
\subitem vector, \hyperpage{270}
\item cross product, \hyperpage{270}, \hyperpage{455}
\item Cross reference, \hyperpage{221}
\item {\tt CROSSVECT}, \hyperpage{259}
\item {\tt CSC}, \hyperpage{83}, \hyperpage{86}
\item {\tt CSCH}, \hyperpage{83}, \hyperpage{86}
\item CURL
\subitem operator, \hyperpage{271}
\item curl
\subitem vector field, \hyperpage{271}
\item curl operator, \hyperpage{456}
\item {\tt CVIT}, \hyperpage{194}, \hyperpage{303}
\item {\tt CVITBTR}, \hyperpage{303}
\item {\tt CVITOP}, \hyperpage{303}
\item {\tt CVITRACE}, \hyperpage{303}
\item {\tt CYCLICPERMLIST}, \hyperpage{250}
\item cylindrical coordinates, \hyperpage{453}
\indexspace
\item {\tt D}, \hyperpage{552}
\item {\tt D\underscore PART}, \hyperpage{554}
\item data structures, \hyperpage{619}
\item DE, \hyperpage{631}
\item Declaration, \hyperpage{75}
\item DECLARE function, \hyperpage{356}
\item {\tt DECOMPOSE}, \hyperpage{141}
\item default
\subitem term order, \hyperpage{376}
\item {\tt defid}, \hyperpage{510}
\item {\tt defindex}, \hyperpage{510}
\item {\tt DEFINE}, \hyperpage{78}
\item definite integration (simple), \hyperpage{274}
\item {\tt DEFINT}, \hyperpage{194}, \hyperpage{305}
\item DEFINT function, \hyperpage{274}
\item DEFLINEINT function, \hyperpage{275}
\item DEFLIST, \hyperpage{648}
\item {\tt DEFN}, \hyperpage{203}, \hyperpage{223, 224}
\item {\tt DEFPOLY}, \hyperpage{239}
\item {\tt DEG}, \hyperpage{143}
\item Degree, \hyperpage{143}
\item {\tt DEL}, \hyperpage{552}
\item DELETE, \hyperpage{649}
\item {\tt DELETE}, \hyperpage{244}
\item {\tt DELETE\underscore ALL}, \hyperpage{244}
\item {\tt DELLASTDIGIT}, \hyperpage{249}
\item {\tt DELPAIR}, \hyperpage{244}
\item DELSQ
\subitem operator, \hyperpage{271}
\item delsq operator, \hyperpage{456}
\item {\tt DEMO}, \hyperpage{76}
\item {\tt DEN}, \hyperpage{134}, \hyperpage{143}
\item {\tt DEPATOM}, \hyperpage{252}
\item {\tt DEPEND}, \hyperpage{109}
\item depend, \hyperpage{103}
\item DEPEND statement, \hyperpage{457}
\item {\tt DEPTH}, \hyperpage{245}
\item {\tt DEPVARP}, \hyperpage{255}
\item {\tt DER}, \hyperpage{552}
\item derivative
\subitem variational, \hyperpage{339}
\item derivatives, \hyperpage{313}
\item {\tt DERIVED\underscore SYSTEMS}, \hyperpage{329}
\item {\tt DESIR}, \hyperpage{194}, \hyperpage{309}
\item {\tt DET}, \hyperpage{112}, \hyperpage{179}
\item {\tt DETIDNUM}, \hyperpage{249}
\item {\tt DETRAFO}, \hyperpage{237}
\item DF, \hyperpage{631}
\item {\tt DF}, \hyperpage{87, 88}
\item {\tt DFP}, \hyperpage{314}
\item {\tt DFP\underscore COMMUTE}, \hyperpage{316}
\item {\tt DFPART}, \hyperpage{194}, \hyperpage{313}
\item {\tt DIAGONAL}, \hyperpage{403}, \hyperpage{405}
\item {\tt diagonalize}, \hyperpage{558}
\item DIFFERENCE, \hyperpage{642}
\item Differentiation, \hyperpage{87, 88}, \hyperpage{109}
\item differentiation
\subitem partial, \hyperpage{336}
\subitem vector, \hyperpage{271}
\item {\tt DIFFSET}, \hyperpage{249}
\item DIGIT, \hyperpage{649}
\item {\tt DILOG}, \hyperpage{83}, \hyperpage{90}
\item {\tt dilog}, \hyperpage{544}
\item Dilogarithm function, \hyperpage{544}
\item {\tt DIM}, \hyperpage{329}
\item {\tt DIM\underscore GRASSMANN\underscore VARIETY},
\hyperpage{329}
\item dimension, \hyperpage{335}
\item Dirac $\gamma$ matrix, \hyperpage{212}
\item direct product, \hyperpage{410}
\item {\tt DISJOIN}, \hyperpage{330}
\item {\tt DISPJACOBIAN}, \hyperpage{296}
\item {\tt DISPLAY}, \hyperpage{174}
\item Display, \hyperpage{111}
\item {\tt DISPLAYFLAG}, \hyperpage{253}
\item DISPLAYFRAME command, \hyperpage{342}
\item Displaying structure, \hyperpage{126}
\item {\tt DISTRIBUTE}, \hyperpage{257}
\item {\tt DIV}, \hyperpage{117}, \hyperpage{147}, \hyperpage{498}
\item DIV
\subitem operator, \hyperpage{271}
\item div operator, \hyperpage{456}
\item divergence
\subitem vector field, \hyperpage{271}
\item DIVIDE, \hyperpage{642}
\item division by zero, \hyperpage{642}, \hyperpage{645}
\item {\tt DIVPOL}, \hyperpage{258}
\item {\tt DLINEINT}, \hyperpage{458}
\item dlist, \hyperpage{648}
\item DM, \hyperpage{631}
\item {\tt DO}, \hyperpage{67}, \hyperpage{69}
\item Dollar sign, \hyperpage{63}
\item {\tt DOT}, \hyperpage{464}
\item DOT
\subitem vector, \hyperpage{270}
\item Dot product, \hyperpage{211}, \hyperpage{270}
\item dot product, \hyperpage{456}
\item dot-notation, \hyperpage{617}, \hyperpage{619}
\item {\tt DOT\underscore HAM}, \hyperpage{554}
\item dotgrad operator, \hyperpage{456}
\item dotted-pair, \hyperpage{617}, \hyperpage{625, 626}
\item DOUBLE switch, \hyperpage{353}
\item {\tt DR}, \hyperpage{552}
\item {\tt DRR}, \hyperpage{555}
\item {\tt DUMMY}, \hyperpage{194}, \hyperpage{319}
\item {\tt DUMMY\underscore BASE}, \hyperpage{319}
\item {\tt dummy\underscore names}, \hyperpage{320}
\item {\tt DUMMYPRI}, \hyperpage{267}
\item {\tt DVFSF}, \hyperpage{497, 498}
\item {\tt DVINT}, \hyperpage{458}
\item {\tt DVOLINT}, \hyperpage{458}
\item {\tt DYW}, \hyperpage{554}
\indexspace
\item {\tt E}, \hyperpage{46}
\item {\tt ECHO}, \hyperpage{169}
\item {\tt ED}, \hyperpage{173, 174}
\item {\tt EDITDEF}, \hyperpage{175}
\item {\tt EDS}, \hyperpage{323}, \hyperpage{326}
\item {\tt EDS: Exterior differential dystems}, \hyperpage{323}
\item {\tt EDSDEBUG}, \hyperpage{330}
\item {\tt EDSDISJOINT}, \hyperpage{330}
\item {\tt EDSSLOPPY}, \hyperpage{330}
\item {\tt EDSVERBOSE}, \hyperpage{330}
\item {\tt Ei}, \hyperpage{83}, \hyperpage{544}
\item EJECT, \hyperpage{656, 657}
\item {\tt EllipticE}, \hyperpage{544}
\item {\tt EllipticF}, \hyperpage{544}
\item {\tt EllipticK}, \hyperpage{544}
\item {\tt EllipticTheta}, \hyperpage{544}
\item {\tt ELMULT}, \hyperpage{244}
\item EMSG* (global), \hyperpage{638}, \hyperpage{661}
\item {\tt END}, \hyperpage{77}
\item end of file, \hyperpage{661}
\item end of line, \hyperpage{661}
\item {\tt EPS}, \hyperpage{213}, \hyperpage{343}
\item EQ, \hyperpage{623}
\item EQ
\subitem in MEMQ, \hyperpage{650}
\subitem of dotted-pairs, \hyperpage{626}
\subitem of function-pointers, \hyperpage{618}, \hyperpage{623}
\subitem of GENSYMs, \hyperpage{629}
\subitem of identifiers, \hyperpage{627}
\item EQN, \hyperpage{623}
\item EQUAL, \hyperpage{623}
\item {\tt EQUAL}, \hyperpage{498, 499}
\item EQUAL
\subitem in ASSOC, \hyperpage{648}
\subitem in DELETE, \hyperpage{649}
\subitem in MEMBER, \hyperpage{650}
\subitem in SASSOC, \hyperpage{651}
\subitem in SUBST, \hyperpage{652}
\item Equation, \hyperpage{57}
\item {\tt EQUIV}, \hyperpage{330}, \hyperpage{497}
\item {\tt ERF}, \hyperpage{90}
\item {\tt erf}, \hyperpage{544}
\item {\tt erfc}, \hyperpage{544}
\item {\tt ERRCONT}, \hyperpage{173}
\item ERROR, \hyperpage{622}, \hyperpage{638}, \hyperpage{661}
\item error
\subitem type mismatch error, \hyperpage{622}
\item error messages, \hyperpage{622}
\item ERRORSET, \hyperpage{638}
\item escape character, \hyperpage{622}
\item Euclidean metric, \hyperpage{341}
\item {\tt Euler}, \hyperpage{542}
\item Euler polynomials, \hyperpage{542}
\item {\tt Euler\underscore Gamma}, \hyperpage{541}
\item {\tt EulerP}, \hyperpage{543}
\item EVAL, \hyperpage{654}
\item {\tt EVAL}, \hyperpage{353}
\item EVAL
\subitem function, \hyperpage{620}
\subitem function type, \hyperpage{621}
\subitem lambda expressions, \hyperpage{620}
\subitem MACRO functions, \hyperpage{621}
\subitem of constants, \hyperpage{619}
\item {\tt EVAL\underscore MODE}, \hyperpage{197}
\item {\tt evalb}, \hyperpage{527}
\item {\tt EVALLHSEQP}, \hyperpage{57}
\item {\tt EVEN}, \hyperpage{104}
\item Even operator, \hyperpage{104}
\item {\tt EVENP}, \hyperpage{56}
\item EVLIS, \hyperpage{654}
\item {\tt EX}, \hyperpage{497}
\item {\tt EXCALC}, \hyperpage{194}, \hyperpage{325},
\hyperpage{333}
\item EXCALC package
\subitem example, \hyperpage{336, 337}, \hyperpage{339, 340},
\hyperpage{342}
\item Exclamation mark, \hyperpage{43}
\item {\tt EXCLUDE}, \hyperpage{514}
\item EXDEGREE command, \hyperpage{334}
\item {\tt EXFACTORS}, \hyperpage{330}
\item {\tt EXP}, \hyperpage{83}, \hyperpage{86}, \hyperpage{90},
\hyperpage{134}, \hyperpage{137}
\item EXPAND, \hyperpage{655}
\item {\tt EXPAND\underscore CASES}, \hyperpage{96}
\item {\tt EXPANDLOGS}, \hyperpage{85}
\item {\tt EXPLICIT}, \hyperpage{252}
\item EXPLODE, \hyperpage{618}, \hyperpage{628}, \hyperpage{639}
\item EXPR, \hyperpage{618, 619}, \hyperpage{631}
\item {\tt EXPR}, \hyperpage{203}
\item Expression, \hyperpage{53}
\item EXPT, \hyperpage{643}
\item {\tt EXTEND}, \hyperpage{403}, \hyperpage{405}
\item {\tt extended\underscore gosper}, \hyperpage{600}
\item exterior calculus, \hyperpage{333}
\item exterior differentiation, \hyperpage{336}
\item exterior form
\subitem declaration, \hyperpage{334}
\subitem vector, \hyperpage{334}
\subitem with indices, \hyperpage{340}
\item exterior product, \hyperpage{335}, \hyperpage{343}
\item extra-boolean, \hyperpage{619}
\item {\tt EXTRACTLIST}, \hyperpage{253}
\item {\tt EXTRACTMAT}, \hyperpage{367}
\item {\tt EXTREMUM}, \hyperpage{252}
\item {\tt EZGCD}, \hyperpage{137}
\indexspace
\item {\tt FACTOR}, \hyperpage{115}, \hyperpage{135}
\item {\tt FACTORIAL}, \hyperpage{80}, \hyperpage{190}
\item Factorization, \hyperpage{134}
\item {\tt FACTORIZE}, \hyperpage{135, 136}
\item {\tt FALSE}, \hyperpage{497}
\item Fast loading of code, \hyperpage{220}
\item {\tt FAST\underscore LA}, \hyperpage{413}
\item {\tt FCOMB}, \hyperpage{554}
\item FDOMAIN command, \hyperpage{336}
\item {\tt FER}, \hyperpage{552}
\item FEXPR, \hyperpage{618, 619}, \hyperpage{621}, \hyperpage{631}
\item {\tt FEXPR}, \hyperpage{203}
\item Fibonacci, \hyperpage{542}
\item {\tt Fibonacci}, \hyperpage{542}
\item Fibonacci polynomials, \hyperpage{543}
\item {\tt FibonacciP}, \hyperpage{543}
\item {\tt FIDE}, \hyperpage{194}, \hyperpage{345}
\item file handle, \hyperpage{656--659}
\item File handling, \hyperpage{169}
\item files, \hyperpage{656, 657}
\item {\tt FIND\underscore COMPANION}, \hyperpage{403},
\hyperpage{408}
\item {\tt FIRST}, \hyperpage{60}
\item {\tt FIRSTROOT}, \hyperpage{515}
\item FIX, \hyperpage{641}, \hyperpage{643}
\item {\tt FIX}, \hyperpage{81}
\item FIXP, \hyperpage{624}
\item {\tt FIXP}, \hyperpage{56}
\item {\tt FJACOB}, \hyperpage{554}
\item FLAG, \hyperpage{616}, \hyperpage{630}
\item FLAGP, \hyperpage{616}, \hyperpage{630}
\item flags, \hyperpage{629}
\item FLOAT, \hyperpage{641}, \hyperpage{643}
\item floating
\subitem input, \hyperpage{616}
\subitem output, \hyperpage{628}
\item FLOATP, \hyperpage{624}
\item {\tt FLOOR}, \hyperpage{81}
\item FLUID, \hyperpage{616}, \hyperpage{633}
\item fluid
\subitem in traceback, \hyperpage{638}
\subitem unbinding by ERROR, \hyperpage{638}
\item fluid binding, \hyperpage{633}
\item fluid binding
\subitem as default, \hyperpage{633}
\item FLUIDP, \hyperpage{634}
\item {\tt FOLLOWLINE}, \hyperpage{250}
\item {\tt FOR}, \hyperpage{74}
\item {\tt FOR ALL}, \hyperpage{155, 156}
\item {\tt FOR EACH}, \hyperpage{67, 68}, \hyperpage{202}
\item FORDER command, \hyperpage{343}
\item formal parameter limit, \hyperpage{621}
\item {\tt FORT}, \hyperpage{123}
\item {\tt FORT\underscore WIDTH}, \hyperpage{125}
\item FORTRAN, \hyperpage{123, 124}
\item {\tt FORTUPPER}, \hyperpage{125}
\item {\tt FOURIER}, \hyperpage{286}
\item Fourier cosine transform, \hyperpage{307}
\item Fourier Series, \hyperpage{285}
\item Fourier sine transform, \hyperpage{307}
\item {\tt FPART}, \hyperpage{554}
\item {\tt FPS}, \hyperpage{194}, \hyperpage{349}
\item {\tt fps\underscore search\underscore depth}, \hyperpage{350}
\item FRAME command, \hyperpage{342}
\item {\tt FREEOF}, \hyperpage{56}
\item {\tt FREQUENCY}, \hyperpage{244}
\item {\tt Fresnel\underscore C}, \hyperpage{544}
\item {\tt Fresnel\underscore S}, \hyperpage{544}
\item {\tt frobenius}, \hyperpage{432}
\item ftype, \hyperpage{619}
\item FUIDP, \hyperpage{616}
\item {\tt FULLROOTS}, \hyperpage{97}
\item {\tt FUN}, \hyperpage{552}
\item FUNARGs not supported, \hyperpage{655}
\item FUNCTION, \hyperpage{357}, \hyperpage{655}
\item Function, \hyperpage{191}
\item function, \hyperpage{620}
\item function
\subitem as GLOBAL, \hyperpage{631}
\subitem as global, \hyperpage{632}
\item function-pointer, \hyperpage{618}
\item function-pointer
\subitem output, \hyperpage{628}
\item functions, \hyperpage{616}
\item {\tt FUNCVAR}, \hyperpage{252}
\indexspace
\item {\tt G}, \hyperpage{212}
\item {\tt G3}, \hyperpage{589}
\item {\tt Gamma}, \hyperpage{542}
\item Gamma function, \hyperpage{542}
\item {\tt gammatofactorial}, \hyperpage{604}
\item garbage collector, \hyperpage{661}
\item {\tt GCD}, \hyperpage{137}
\item {\tt GDIMENSION}, \hyperpage{379}
\item Gegenbauer polynomials, \hyperpage{543}
\item {\tt GegenbauerP}, \hyperpage{543}
\item Generalised Hypergeometric functions, \hyperpage{545}
\item generic function, \hyperpage{313}
\item {\tt GENERIC\underscore FUNCTION}, \hyperpage{313}
\item {\tt GENPOS}, \hyperpage{330}
\item GENSYM, \hyperpage{629}
\item {\tt GENTRAN}, \hyperpage{194}, \hyperpage{351},
\hyperpage{521}
\item GENTRAN
\subitem file output, \hyperpage{361}
\subitem preevaluation, \hyperpage{354}, \hyperpage{359}
\subitem templates, \hyperpage{358}
\item GENTRAN package
\subitem example, \hyperpage{352}
\item GENTRANIN command, \hyperpage{358}
\item {\tt GENTRANOPT}, \hyperpage{521}
\item GENTRANOUT command, \hyperpage{361}
\item GENTRANSEG switch, \hyperpage{357}
\item GENTRANSHUT command, \hyperpage{361}
\item {\tt GEOMETRY}, \hyperpage{363}
\item {\tt GEQ}, \hyperpage{498}
\item GET, \hyperpage{616}, \hyperpage{630}
\item GET
\subitem not for functions, \hyperpage{630}
\item {\tt GET\underscore COLUMNS}, \hyperpage{403}, \hyperpage{405}
\item {\tt GET\underscore ROWS}, \hyperpage{403}, \hyperpage{406}
\item GETCSYSTEM command, \hyperpage{272}
\item GETD, \hyperpage{616}, \hyperpage{618}, \hyperpage{632}
\item {\tt GETROOT}, \hyperpage{515}
\item GETV, \hyperpage{639}
\item {\tt GHOSTFACTOR}, \hyperpage{260}
\item {\tt GINDEPENDENT\underscore SETS}, \hyperpage{379}
\item {\tt GLEXCONVERT}, \hyperpage{379}
\item GLOBAL, \hyperpage{616}, \hyperpage{634}
\item global binding, \hyperpage{633}
\item GLOBALP, \hyperpage{616}, \hyperpage{632}, \hyperpage{634}
\item {\tt GLTBASIS}, \hyperpage{378}, \hyperpage{382}
\item {\tt GNUPLOT}, \hyperpage{194}, \hyperpage{371}
\item GO, \hyperpage{620}, \hyperpage{636}
\item GO
\subitem in COND, \hyperpage{636}, \hyperpage{640}
\item {\tt GO TO}, \hyperpage{72, 73}
\item {\tt Golden\underscore Ratio}, \hyperpage{541}
\item {\tt gosper}, \hyperpage{599}
\item Gosper's Algorithm, \hyperpage{547}
\item {\tt GRA}, \hyperpage{554}
\item GRAD
\subitem operator, \hyperpage{271}
\item grad operator, \hyperpage{456}
\item gradient
\subitem vector field, \hyperpage{271}
\item {\tt GRADLEX}, \hyperpage{389}
\item GRADLEX
\subitem term order, \hyperpage{376}
\item {\tt GRAM\underscore SCHMIDT}, \hyperpage{404},
\hyperpage{411}
\item {\tt GRAS}, \hyperpage{552}
\item Grassmann Operators, \hyperpage{259}
\item {\tt GRASSMANN\underscore VARIETY}, \hyperpage{329}
\item {\tt GRASSP}, \hyperpage{260}
\item {\tt GRASSPARITY}, \hyperpage{260}
\item GREATERP, \hyperpage{643}
\item {\tt GREATERP}, \hyperpage{498}
\item {\tt GREDUCE}, \hyperpage{383}
\item {\tt GROEBFULLREDUCTION}, \hyperpage{378}, \hyperpage{382}
\item {\tt GROEBNER}, \hyperpage{195}, \hyperpage{375},
\hyperpage{377}
\item Groebner, \hyperpage{95}
\item Groebner Bases, \hyperpage{425}
\item GROEBNER package, \hyperpage{375}
\item GROEBNER package
\subitem example, \hyperpage{377}
\item {\tt GROEBNERF}, \hyperpage{381}, \hyperpage{384}
\item {\tt GROEBOPT}, \hyperpage{378}, \hyperpage{382}
\item {\tt GROEBRESTRICTION}, \hyperpage{383}
\item {\tt GROEBSTAT}, \hyperpage{382}
\item {\tt GROESOLVE}, \hyperpage{384}
\item Group statement, \hyperpage{65, 66}, \hyperpage{70}
\item {\tt GSYS}, \hyperpage{291}
\item {\tt GSYS2CGB}, \hyperpage{292}
\item {\tt GVARS}, \hyperpage{377}
\item {\tt GVARSLAST}, \hyperpage{378}
\item {\tt gvarslast}, \hyperpage{377}
\item {\tt GZERODIM?}, \hyperpage{378}
\indexspace
\item Hankel functions, \hyperpage{542}
\item Hankel transform, \hyperpage{307}
\item {\tt Hankel1}, \hyperpage{542}
\item {\tt Hankel2}, \hyperpage{542}
\item {\tt HARMONIC}, \hyperpage{285}
\item {\tt HCONCMAT}, \hyperpage{262}
\item {\tt HDIFF}, \hyperpage{286}
\item {\tt HERMAT}, \hyperpage{262}
\item Hermite polynomials, \hyperpage{543}
\item {\tt Hermite\underscore base}, \hyperpage{446}
\item {\tt HermiteP}, \hyperpage{543}
\item {\tt HERMITIAN\underscore TP}, \hyperpage{403},
\hyperpage{406}
\item {\tt HESSIAN}, \hyperpage{404}, \hyperpage{408}
\item HFACTORS scale factors, \hyperpage{272}
\item {\tt hidden3d}, \hyperpage{372}
\item High energy trace, \hyperpage{215}
\item High energy vector expression, \hyperpage{211}, \hyperpage{214}
\item {\tt HIGH\underscore POW}, \hyperpage{129}
\item {\tt HIGHESTDERIV}, \hyperpage{450}
\item {\tt HILBERT}, \hyperpage{404}, \hyperpage{409}
\item {\tt HINT{}}, \hyperpage{286}
\item History, \hyperpage{174}
\item Hodge-* duality operator, \hyperpage{338}, \hyperpage{343}
\item {\tt HSUB}, \hyperpage{286}
\item {\tt hyperrecursion}, \hyperpage{602}
\item {\tt hypersum}, \hyperpage{602}
\item {\tt hyperterm}, \hyperpage{602}
\item {\tt HYPEXPAND}, \hyperpage{258}
\item {\tt HYPOT}, \hyperpage{83}, \hyperpage{86}
\item {\tt HYPREDUCE}, \hyperpage{258}
\indexspace
\item {\tt I}, \hyperpage{46}
\item i, \hyperpage{239}
\item {\tt I\underscore SOLVE}, \hyperpage{519}
\item {\tt iBeta}, \hyperpage{542}
\item id
\subitem escape character, \hyperpage{617}
\subitem input, \hyperpage{616}
\subitem maximum length, \hyperpage{617}
\subitem minimum size, \hyperpage{629}
\subitem output, \hyperpage{628}
\item id-list, \hyperpage{619}
\item {\tt ideal dimension}, \hyperpage{379}
\item {\tt IDEALQUOTIENT}, \hyperpage{384}
\item {\tt IDEALS}, \hyperpage{195}, \hyperpage{385}
\item Identifier, \hyperpage{45}
\item identifier (see id), \hyperpage{616}
\item IDP, \hyperpage{624}
\item {\tt IF}, \hyperpage{65, 66}
\item {\tt IFACTOR}, \hyperpage{135}
\item {\tt iGamma}, \hyperpage{542}
\item {\tt IMAGINARY}, \hyperpage{409}
\item imaginary unit, \hyperpage{239}
\item {\tt IMPART}, \hyperpage{80, 81}, \hyperpage{83}
\item {\tt IMPL}, \hyperpage{497}
\item {\tt IMPLICIT}, \hyperpage{252}
\item IMPLICIT option, \hyperpage{357}
\item IMPLICIT\_TAYLOR operator, \hyperpage{562}
\item {\tt IN}, \hyperpage{169}
\item incomplete Beta function, \hyperpage{542}
\item incomplete Gamma function, \hyperpage{542}
\item Indefinite integration, \hyperpage{88}
\item {\tt INDEPENDENCE}, \hyperpage{327}
\item {\tt independent sets}, \hyperpage{379}
\item {\tt INDEX}, \hyperpage{212}
\item {\tt INDEX\underscore EXPAND}, \hyperpage{330}
\item INDEXSYMMETRIES command, \hyperpage{340}
\item {\tt INEQ}, \hyperpage{195}, \hyperpage{387}
\item {\tt INFINITY}, \hyperpage{46}, \hyperpage{514}
\item {\tt INFIX}, \hyperpage{108}
\item Infix operator, \hyperpage{48--51}
\item inner product, \hyperpage{456}
\item inner product
\subitem exterior form, \hyperpage{337}
\item INPUT, \hyperpage{657}
\item {\tt INPUT}, \hyperpage{174}
\item Input, \hyperpage{169}
\item {\tt INSERT}, \hyperpage{244}
\item {\tt INSERT\underscore KEEP\underscore ORDER}, \hyperpage{244}
\item Instant evaluation, \hyperpage{76}, \hyperpage{131},
\hyperpage{154}, \hyperpage{178}, \hyperpage{180}
\item {\tt INT}, \hyperpage{88}, \hyperpage{176}, \hyperpage{231},
\hyperpage{305}
\item {\tt INTEGER}, \hyperpage{71}
\item Integer, \hyperpage{54}
\item integer
\subitem input, \hyperpage{615}
\subitem magnitude, \hyperpage{615}, \hyperpage{641}
\subitem output, \hyperpage{628}
\item integer-list, \hyperpage{619}
\item {\tt INTEGRAL\underscore ELEMENT}, \hyperpage{329}
\item Integration, \hyperpage{88}, \hyperpage{106}
\item integration
\subitem definite (simple), \hyperpage{274}
\subitem line, \hyperpage{275}
\subitem volume, \hyperpage{274}
\item Interactive use, \hyperpage{173}, \hyperpage{176}
\item INTERN, \hyperpage{616}, \hyperpage{629}, \hyperpage{659}
\item {\tt INTERPOL}, \hyperpage{142}
\item {\tt INTERSECT}, \hyperpage{249}
\item {\tt intersect}, \hyperpage{526}
\item {\tt INTERSECTION\underscore POINT}, \hyperpage{365}
\item Interval, \hyperpage{437}
\item Introduction, \hyperpage{37}
\item {\tt INTSTR}, \hyperpage{112}
\item {\tt INVARIANTS}, \hyperpage{330}
\item {\tt INVBASE}, \hyperpage{195}, \hyperpage{389, 390}
\item {\tt INVERSE}, \hyperpage{555}
\item INVERSE\_TAYLOR, \hyperpage{562}
\item {\tt INVERT}, \hyperpage{330}
\item {\tt INVLAP}, \hyperpage{393}
\item {\tt INVOLUTION}, \hyperpage{329}
\item {\tt INVOLUTIVE}, \hyperpage{330}
\item {\tt INVTORDER}, \hyperpage{390}
\item {\tt invztrans}, \hyperpage{609}
\item {\tt ISOLATER}, \hyperpage{514}
\indexspace
\item {\tt JACOB}, \hyperpage{554}
\item Jacobi Elliptic Functions and {Integrals}, \hyperpage{544}
\item Jacobi's polynomials, \hyperpage{543}
\item {\tt JACOBIAN}, \hyperpage{404}, \hyperpage{409},
\hyperpage{440}
\item {\tt Jacobicd}, \hyperpage{544}
\item {\tt Jacobicn}, \hyperpage{544}
\item {\tt Jacobics}, \hyperpage{544}
\item {\tt Jacobidc}, \hyperpage{544}
\item {\tt Jacobidn}, \hyperpage{544}
\item {\tt Jacobids}, \hyperpage{544}
\item {\tt Jacobinc}, \hyperpage{544}
\item {\tt Jacobind}, \hyperpage{544}
\item {\tt Jacobins}, \hyperpage{544}
\item {\tt JacobiP}, \hyperpage{543}
\item {\tt Jacobisc}, \hyperpage{544}
\item {\tt Jacobisd}, \hyperpage{544}
\item {\tt Jacobisn}, \hyperpage{544}
\item {\tt JOIN}, \hyperpage{67}
\item {\tt jordan}, \hyperpage{434}
\item {\tt JORDAN\underscore BLOCK}, \hyperpage{404},
\hyperpage{409}
\item {\tt jordansymbolic}, \hyperpage{433}
\indexspace
\item K-transform, \hyperpage{307}
\item {\tt KBASIS}, \hyperpage{266}
\item KEEP command, \hyperpage{343}
\item Kernel, \hyperpage{111, 112}, \hyperpage{115}, \hyperpage{128}
\item kernel form, \hyperpage{112}
\item {\tt KERNLIST}, \hyperpage{244}
\item {\tt Khinchin}, \hyperpage{541}
\item {\tt KORDER}, \hyperpage{128}, \hyperpage{464}
\item {\tt KORDERLIST}, \hyperpage{252}
\item {\tt KRONECKER\underscore PRODUCT}, \hyperpage{404},
\hyperpage{410}
\item Kummer functions, \hyperpage{543}
\item {\tt KummerM}, \hyperpage{543}
\item {\tt KummerU}, \hyperpage{543}
\indexspace
\item l'H\^opital's rule, \hyperpage{399}, \hyperpage{458}
\item {\tt L2\underscore ANGLE}, \hyperpage{365}
\item Label, \hyperpage{72, 73}
\item Laguerre polynomials, \hyperpage{543}
\item {\tt Laguerre\underscore base}, \hyperpage{446}
\item {\tt LaguerreP}, \hyperpage{543}
\item {\tt laline!*}, \hyperpage{510}
\item LAMBDA, \hyperpage{620}
\item {\tt LAMBDA}, \hyperpage{201}
\item lambda expression, \hyperpage{620}
\item Lambert $\omega $ function, \hyperpage{544}
\item Lambert's W, \hyperpage{95}
\item {\tt Lambert\underscore W}, \hyperpage{544}
\item {\tt LAPLACE}, \hyperpage{195}, \hyperpage{393}
\item Laplace transform, \hyperpage{307}
\item Laplacian
\subitem vector field, \hyperpage{271}
\item {\tt lasimp}, \hyperpage{509}
\item {\tt LAST}, \hyperpage{245}
\item {\tt latex}, \hyperpage{509}
\item Laurent series, \hyperpage{561}
\item Laurent series expansions, \hyperpage{567}
\item {\tt LCM}, \hyperpage{138}
\item {\tt LCOF}, \hyperpage{144}
\item Leading coefficient, \hyperpage{144}
\item {\tt LEADTERM}, \hyperpage{257}
\item Legendre polynomials, \hyperpage{187}, \hyperpage{543}
\item {\tt Legendre\underscore base}, \hyperpage{446}
\item {\tt LegendreP}, \hyperpage{543}
\item LENGTH, \hyperpage{649}
\item {\tt LENGTH}, \hyperpage{59}, \hyperpage{76}, \hyperpage{90},
\hyperpage{133}, \hyperpage{135}, \hyperpage{179},
\hyperpage{499}
\item {\tt LEQ}, \hyperpage{498}
\item Lerch Phi function, \hyperpage{544}
\item {\tt Lerch\underscore Phi}, \hyperpage{544}
\item LESSP, \hyperpage{643}
\item {\tt LESSP}, \hyperpage{498}
\item {\tt LET}, \hyperpage{85}, \hyperpage{87}, \hyperpage{100},
\hyperpage{106--108}, \hyperpage{152}, \hyperpage{161},
\hyperpage{189, 190}
\item Levi-Cevita tensor, \hyperpage{343}
\item {\tt LEX}, \hyperpage{389}
\item LEX
\subitem term order, \hyperpage{376}
\item {\tt LHS}, \hyperpage{57}
\item {\tt li}, \hyperpage{544}
\item {\tt LIE}, \hyperpage{195}, \hyperpage{397}
\item Lie Derivative, \hyperpage{338}
\item {\tt LIE\underscore LIST}, \hyperpage{398}
\item {\tt LIECLASS}, \hyperpage{398}
\item {\tt LIENDIMCOM1}, \hyperpage{397}
\item {\tt LIFT}, \hyperpage{328}
\item {\tt LIMIT}, \hyperpage{399}, \hyperpage{458}
\item {\tt LIMIT+}, \hyperpage{400}
\item {\tt LIMIT-}, \hyperpage{400}
\item {\tt LIMITS}, \hyperpage{195}, \hyperpage{399}
\item {\tt LINALG}, \hyperpage{195}, \hyperpage{403}
\item {\tt LINE}, \hyperpage{365}
\item line integrals, \hyperpage{275}
\item {\tt LINEAR}, \hyperpage{105}
\item Linear operator, \hyperpage{105, 106}, \hyperpage{109}
\item {\tt LINEAR\underscore DIVISORS}, \hyperpage{330}
\item {\tt LINEARISE}, \hyperpage{329}
\item {\tt LINEINT}, \hyperpage{458}
\item LINEINT function, \hyperpage{275}
\item LINELENGTH, \hyperpage{656}
\item {\tt LINELENGTH}, \hyperpage{114}
\item {\tt LISP}, \hyperpage{197}
\item Lisp, \hyperpage{197}
\item LIST, \hyperpage{627}
\item {\tt LIST}, \hyperpage{117}
\item List, \hyperpage{59}
\item list, \hyperpage{619}
\item {\tt list}, \hyperpage{93}
\item List operation, \hyperpage{59}, \hyperpage{61}
\item list-notation, \hyperpage{619}
\item {\tt LIST\underscore TO\underscore ARRAY}, \hyperpage{259}
\item {\tt LIST\underscore TO\underscore IDS}, \hyperpage{249}
\item {\tt LISTARGP}, \hyperpage{61}
\item {\tt LISTARGS}, \hyperpage{61}
\item {\tt LISTBAG}, \hyperpage{248}
\item LITER, \hyperpage{649}
\item {\tt LN}, \hyperpage{83}, \hyperpage{86}
\item {\tt LOAD}, \hyperpage{220}
\item {\tt LOAD\underscore PACKAGE}, \hyperpage{193},
\hyperpage{221}
\item local binding, \hyperpage{633}
\item {\tt LOG}, \hyperpage{83}, \hyperpage{86}, \hyperpage{90}
\item {\tt LOG10}, \hyperpage{83}, \hyperpage{86}
\item {\tt LOGB}, \hyperpage{83}, \hyperpage{86}
\item Lommel functions, \hyperpage{543}
\item {\tt Lommel1}, \hyperpage{543}
\item {\tt Lommel2}, \hyperpage{543}
\item Loop, \hyperpage{67, 68}
\item {\tt LOT}, \hyperpage{365}
\item {\tt LOW\underscore POW}, \hyperpage{129}
\item {\tt LOWER\underscore MATRIX}, \hyperpage{409}
\item {\tt LOWESTDEG}, \hyperpage{258}
\item {\tt lpon}, \hyperpage{393}
\item LPOSN, \hyperpage{656}
\item {\tt LPOWER}, \hyperpage{145}
\item {\tt LRSETQ}, \hyperpage{356}
\item lrsetq operator, \hyperpage{355}
\item {\tt LSETQ}, \hyperpage{355}
\item lsetq operator, \hyperpage{354}
\item {\tt LTERM}, \hyperpage{145}, \hyperpage{209}
\item {\tt ltrig}, \hyperpage{393}
\item {\tt LU\underscore DECOM}, \hyperpage{404}, \hyperpage{411}
\item {\tt LYST}, \hyperpage{554}
\item {\tt LYST1}, \hyperpage{554}
\item {\tt LYST2}, \hyperpage{554}
\indexspace
\item {\tt M}, \hyperpage{470}
\item {\tt M\underscore ROOTS}, \hyperpage{419}
\item {\tt M\underscore SOLVE}, \hyperpage{419}
\item {\tt MACIERZ}, \hyperpage{554}
\item MACRO, \hyperpage{619}, \hyperpage{621}, \hyperpage{631}
\item {\tt MACRO}, \hyperpage{203}
\item {\tt MAINVAR}, \hyperpage{146}
\item {\tt MAKE\underscore IDENTITY}, \hyperpage{404},
\hyperpage{409}
\item MAP, \hyperpage{646}
\item {\tt MAP}, \hyperpage{91}
\item {\tt map}, \hyperpage{93}
\item MAPC, \hyperpage{646}
\item MAPCAN, \hyperpage{647}
\item MAPCAR, \hyperpage{647}
\item MAPCON, \hyperpage{647}
\item MAPLIST, \hyperpage{647}
\item {\tt MASS}, \hyperpage{214}, \hyperpage{216}
\item {\tt MAT}, \hyperpage{177, 178}
\item {\tt MATCH}, \hyperpage{159}
\item {\tt MATEIGEN}, \hyperpage{180}
\item {\tt MATEXTC}, \hyperpage{262}
\item {\tt MATEXTR}, \hyperpage{262}
\item Mathematical function, \hyperpage{83}
\item {\tt MATHML}, \hyperpage{415, 416}
\item {\tt mathstyle}, \hyperpage{510}
\item matrices
\subitem in GENTRAN, \hyperpage{354, 355}, \hyperpage{360}
\item {\tt MATRIX}, \hyperpage{178}
\item Matrix assignment, \hyperpage{183}
\item Matrix calculations, \hyperpage{177}
\item {\tt MATRIX, see also SPARSE}, \hyperpage{531}
\item {\tt MATRIX\underscore AUGMENT}, \hyperpage{403},
\hyperpage{406}
\item {\tt MATRIX\underscore STACK}, \hyperpage{403},
\hyperpage{406}
\item {\tt MATRIXP}, \hyperpage{404}, \hyperpage{533}
\item {\tt MATSUBC}, \hyperpage{262}
\item {\tt MATSUBR}, \hyperpage{262}
\item MAX, \hyperpage{644}
\item {\tt MAX}, \hyperpage{81}
\item MAX2, \hyperpage{644}
\item {\tt MAXEXPPRINTLEN!*}, \hyperpage{357}
\item {\tt MCD}, \hyperpage{137}, \hyperpage{139}
\item {\tt MEDIAN}, \hyperpage{365}
\item Meijer's G function, \hyperpage{545}
\item MEMBER, \hyperpage{650}
\item {\tt member}, \hyperpage{528}
\item MEMQ, \hyperpage{650}
\item {\tt MERGE\underscore LIST}, \hyperpage{244}
\item metric structure, \hyperpage{341}
\item {\tt MIDPOINT}, \hyperpage{365}
\item MIN, \hyperpage{644}
\item {\tt MIN}, \hyperpage{81}
\item MIN2, \hyperpage{644}
\item Minimum, \hyperpage{437}
\item {\tt MINOR}, \hyperpage{403}, \hyperpage{406}
\item MINUS, \hyperpage{644}
\item MINUSP, \hyperpage{624}
\item {\tt MINVECT}, \hyperpage{259}
\item mixed-mode arithmetic, \hyperpage{641}
\item {\tt MKAND}, \hyperpage{497}
\item {\tt MKDEPEND}, \hyperpage{330}
\item {\tt MKID}, \hyperpage{92}, \hyperpage{261}
\item {\tt MKIDM}, \hyperpage{261}
\item {\tt MKIDNEW}, \hyperpage{249}
\item {\tt MKLIST}, \hyperpage{244}
\item {\tt MKOR}, \hyperpage{497}
\item {\tt MKPOLY}, \hyperpage{515}
\item {\tt MKRANDTABL}, \hyperpage{250}
\item {\tt MKSET}, \hyperpage{249}, \hyperpage{526}
\item MKVECT, \hyperpage{639}
\item {\tt MML}, \hyperpage{416}
\item Mode, \hyperpage{76}
\item Mode communication, \hyperpage{203}
\item {\tt MODSR}, \hyperpage{195}, \hyperpage{419}
\item {\tt MODULAR}, \hyperpage{149}
\item Modular coefficient, \hyperpage{149}
\item {\tt MONOM}, \hyperpage{257}
\item {\tt monomial\underscore base}, \hyperpage{446}
\item Moore--Penrose inverse, \hyperpage{411}
\item Motzkin, \hyperpage{542}
\item {\tt Motzkin}, \hyperpage{542}
\item {\tt MP}, \hyperpage{365}
\item {\tt MPVECT}, \hyperpage{259}
\item {\tt MRV\underscore LIMIT}, \hyperpage{422}
\item {\tt MRVLIMIT}, \hyperpage{421}
\item {\tt MSG}, \hyperpage{223}
\item {\tt MSHELL}, \hyperpage{216}
\item {\tt MULT\underscore COLUMNS}, \hyperpage{403},
\hyperpage{405}
\item {\tt MULT\underscore ROW}, \hyperpage{405}
\item {\tt MULT\underscore ROWS}, \hyperpage{403}
\item Multiple assignment statement, \hyperpage{64}
\item {\tt MULTIPLICITIES}, \hyperpage{96}
\item {\tt MULTIROOT}, \hyperpage{517}
\indexspace
\item {\tt N\underscore GAT}, \hyperpage{554}
\item {\tt NASSOC}, \hyperpage{498}
\item {\tt NAT}, \hyperpage{125}, \hyperpage{327}
\item NAT flag, \hyperpage{340}
\item {\tt nc\underscore cleanup}, \hyperpage{427}
\item {\tt nc\underscore compact}, \hyperpage{430}
\item {\tt nc\underscore divide}, \hyperpage{429}
\item {\tt nc\underscore factorize}, \hyperpage{429}
\item {\tt nc\underscore factorize\underscore all}, \hyperpage{430}
\item {\tt nc\underscore groebner}, \hyperpage{428}
\item {\tt nc\underscore preduce}, \hyperpage{429}
\item {\tt nc\underscore setup}, \hyperpage{426}
\item NCONC, \hyperpage{650}
\item {\tt NCPOLY}, \hyperpage{195}, \hyperpage{425}
\item {\tt NEARESTROOT}, \hyperpage{515}
\item {\tt NEARESTROOTS}, \hyperpage{515}
\item {\tt NEGATIVE}, \hyperpage{514}
\item {\tt NEQ}, \hyperpage{498, 499}
\item {\tt NERO}, \hyperpage{122}
\item Newton's method, \hyperpage{437}
\item {\tt NEXTPRIME}, \hyperpage{82}
\item NIL
\subitem cannot be changed, \hyperpage{634, 635}, \hyperpage{661}
\item NIL (global), \hyperpage{619}, \hyperpage{622}, \hyperpage{661}
\item {\tt NOCONVERT}, \hyperpage{148}
\item {\tt NODEPEND}, \hyperpage{109}
\item NODEPEND statement, \hyperpage{457}
\item {\tt NODRR}, \hyperpage{555}
\item NOETHER function, \hyperpage{339}
\item NOEVAL
\subitem function type, \hyperpage{621}
\item Non-commuting operator, \hyperpage{106}
\item {\tt NONCOM}, \hyperpage{106}, \hyperpage{320},
\hyperpage{461}, \hyperpage{466}
\item {\tt NONZERO}, \hyperpage{104}
\item {\tt NORDP}, \hyperpage{255}
\item {\tt NORMFORM}, \hyperpage{195}, \hyperpage{431}
\item {\tt NOSPLIT}, \hyperpage{117}
\item NOSPREAD
\subitem function type, \hyperpage{621}
\item {\tt NOSPUR}, \hyperpage{215}
\item NOSUM command, \hyperpage{340}
\item NOSUM switch, \hyperpage{340}
\item NOT, \hyperpage{641}
\item {\tt NOT}, \hyperpage{497}
\item {\tt NOT\underscore NEGATIVE}, \hyperpage{409}
\item NOXPND
\subitem @, \hyperpage{337}
\subitem D, \hyperpage{337}
\item NULL, \hyperpage{624}
\item {\tt NULLSPACE}, \hyperpage{182}
\item {\tt NUM}, \hyperpage{146}
\item {\tt NUM\underscore FIT}, \hyperpage{444}
\item {\tt NUM\underscore INT}, \hyperpage{437}, \hyperpage{440}
\item {\tt NUM\underscore MIN}, \hyperpage{437, 438}
\item {\tt NUM\underscore ODESOLVE}, \hyperpage{437},
\hyperpage{441}
\item {\tt NUM\underscore SOLVE}, \hyperpage{437}, \hyperpage{439}
\item Number, \hyperpage{44, 45}
\item number, \hyperpage{619}
\item NUMBERP, \hyperpage{624}
\item {\tt NUMBERP}, \hyperpage{56}
\item {\tt NUMERIC}, \hyperpage{195}, \hyperpage{437}
\item Numerical operator, \hyperpage{79}
\item Numerical precision, \hyperpage{46}
\indexspace
\item OBLIST, \hyperpage{627}
\item OBLIST entry, \hyperpage{616}, \hyperpage{629}, \hyperpage{659}
\item {\tt ODD}, \hyperpage{104}
\item Odd operator, \hyperpage{104}
\item {\tt ODDP}, \hyperpage{250}
\item {\tt ODEDEGREE}, \hyperpage{450}
\item {\tt ODELINEARITY}, \hyperpage{450}
\item {\tt ODEORDER}, \hyperpage{450}
\item {\tt ODESOLVE}, \hyperpage{195}, \hyperpage{449, 450}
\item {\tt ODWA}, \hyperpage{554}
\item {\tt OFF}, \hyperpage{76, 77}
\item {\tt OFSF}, \hyperpage{497, 498}
\item {\tt ON}, \hyperpage{76, 77}
\item {\tt ONE\underscore FORMS}, \hyperpage{327}
\item {\tt ONE\underscore OF}, \hyperpage{96}
\item ONEP, \hyperpage{625}
\item {\tt ONLY\underscore INTEGER}, \hyperpage{409}
\item {\tt OPAPPLY}, \hyperpage{467}
\item OPEN, \hyperpage{656, 657}
\item {\tt OPERATOR}, \hyperpage{208}
\item Operator, \hyperpage{48--51}
\item Operator precedence, \hyperpage{49}, \hyperpage{51}
\item {\tt OPORDER}, \hyperpage{464}
\item {\tt OPTIMIZE}, \hyperpage{521}
\item OR, \hyperpage{641}
\item {\tt OR}, \hyperpage{497}
\item {\tt ORDER}, \hyperpage{115}, \hyperpage{128}
\item ordering
\subitem exterior form, \hyperpage{343}
\item ordinary differential equations, \hyperpage{449}
\item {\tt ORDP}, \hyperpage{56}, \hyperpage{106}
\item {\tt ORTHOGONAL}, \hyperpage{366}
\item Orthogonal polynomials, \hyperpage{539}
\item {\tt ORTHOVEC}, \hyperpage{195}, \hyperpage{453}
\item {\tt OTHER\underscore CC\underscore POINT}, \hyperpage{366}
\item {\tt OTHER\underscore CL\underscore POINT}, \hyperpage{366}
\item {\tt OUT}, \hyperpage{169, 170}
\item OUTPUT, \hyperpage{657}
\item {\tt OUTPUT}, \hyperpage{114}
\item Output, \hyperpage{120}, \hyperpage{124}
\item Output declaration, \hyperpage{114, 115}
\indexspace
\item {\tt P3\underscore ANGLE}, \hyperpage{366}
\item {\tt P3\underscore CIRCLE}, \hyperpage{366}
\item {\tt P3\underscore CIRCLE1}, \hyperpage{366}
\item {\tt P4\underscore CIRCLE}, \hyperpage{366}
\item {\tt PAD\'{E}}, \hyperpage{490}
\item PAGELENGTH, \hyperpage{656, 657}
\item PAIR, \hyperpage{651}
\item {\tt PAIR}, \hyperpage{245}
\item PAIRP, \hyperpage{625}
\item {\tt PAR}, \hyperpage{366}
\item {\tt PARALLEL}, \hyperpage{366}
\item {\tt PARSEML}, \hyperpage{416}
\item {\tt PART}, \hyperpage{59}, \hyperpage{127}, \hyperpage{130},
\hyperpage{499}
\item partial derivatives, \hyperpage{313}
\item partial differentiation, \hyperpage{336}
\item {\tt PAUSE}, \hyperpage{176}
\item {\tt PDE2EDS}, \hyperpage{326}
\item {\tt PDE2JET}, \hyperpage{330}
\item {\tt PEDALPOINT}, \hyperpage{366}
\item Percent sign, \hyperpage{48}
\item {\tt PERIOD}, \hyperpage{125}
\item {\tt PERIODIC}, \hyperpage{488}
\item {\tt PERIODIC2RATIONAL}, \hyperpage{488}
\item {\tt PERMUTATIONS}, \hyperpage{250}
\item {\tt PF}, \hyperpage{93}
\item {\tt PFAFFIAN}, \hyperpage{330}
\item PFORM statement, \hyperpage{334}
\item {\tt PG}, \hyperpage{554}
\item {\tt PHYSINDEX}, \hyperpage{463}, \hyperpage{466}
\item {\tt PHYSOP}, \hyperpage{195}, \hyperpage{461}
\item {\tt PI}, \hyperpage{47}
\item {\tt PIVOT}, \hyperpage{403}, \hyperpage{406}
\item {\tt PLOT}, \hyperpage{194}, \hyperpage{371}
\item {\tt PLOT\underscore XMESH}, \hyperpage{372}
\item {\tt PLOT\underscore YMESH}, \hyperpage{373}
\item {\tt PLOTKEEP}, \hyperpage{372}
\item {\tt PLOTREFINE}, \hyperpage{372}
\item {\tt plotrefine}, \hyperpage{372}
\item {\tt PLOTRESET}, \hyperpage{372}
\item PLUS, \hyperpage{645}
\item PLUS2, \hyperpage{645}
\item {\tt PM}, \hyperpage{195}, \hyperpage{469}
\item {\tt Pochhammer}, \hyperpage{542}
\item Pochhammer's symbol, \hyperpage{542}
\item {\tt POINCARE}, \hyperpage{330}
\item {\tt POINT}, \hyperpage{366}
\item {\tt POINT\underscore ON\underscore BISECTOR}, \hyperpage{366}
\item {\tt POINT\underscore ON\underscore CIRCLE}, \hyperpage{366}
\item {\tt POINT\underscore ON\underscore CIRCLE1}, \hyperpage{366}
\item {\tt POINT\underscore ON\underscore LINE}, \hyperpage{366}
\item {\tt poleorder}, \hyperpage{507}
\item {\tt Polygamma}, \hyperpage{542}
\item Polygamma functions, \hyperpage{542}
\item {\tt Polylog}, \hyperpage{544}
\item Polylogarithm function, \hyperpage{544}
\item Polynomial, \hyperpage{133}
\item {\tt POSITION}, \hyperpage{245}
\item {\tt POSITIVE}, \hyperpage{514}
\item POSN, \hyperpage{657}
\item power series, \hyperpage{567}
\item power series
\subitem arithmetic, \hyperpage{574}
\subitem composition, \hyperpage{573}
\subitem differentiation, \hyperpage{575}
\subitem of integral, \hyperpage{569}
\subitem of user defined function, \hyperpage{568}
\item {\tt PP\underscore LINE}, \hyperpage{366}
\item {\tt PR}, \hyperpage{554}
\item {\tt PRECEDENCE}, \hyperpage{108}
\item {\tt PRECISE}, \hyperpage{86}
\item {\tt PRECISION}, \hyperpage{148}
\item precision, \hyperpage{353}
\item PRECISION command, \hyperpage{353}
\item {\tt PRECP}, \hyperpage{255}
\item predicate , \hyperpage{622}
\item {\tt PREDUCE}, \hyperpage{384}
\item Prefix, \hyperpage{79}, \hyperpage{107, 108}
\item Prefix operator, \hyperpage{48, 49}
\item {\tt PRET}, \hyperpage{223}
\item {\tt PRETTYPRINT}, \hyperpage{224}
\item Prettyprinting, \hyperpage{223, 224}
\item {\tt PRGEN}, \hyperpage{536}
\item {\tt PRI}, \hyperpage{115}
\item {\tt PRIMEP}, \hyperpage{56}
\item PRIN1, \hyperpage{658}
\item PRIN2, \hyperpage{658}
\item PRINC, \hyperpage{657}, \hyperpage{661}
\item PRINT, \hyperpage{658}
\item print name, \hyperpage{616}
\item PRINT!-PRECISION command, \hyperpage{353}
\item {\tt PRINT\underscore PRECISION}, \hyperpage{148}
\item {\tt PROCEDURE}, \hyperpage{185}
\item Procedure body, \hyperpage{187}, \hyperpage{189}
\item Procedure heading, \hyperpage{186}
\item PROD operator, \hyperpage{547}
\item {\tt PRODUCT}, \hyperpage{67, 68}
\item PROG, \hyperpage{637}
\item PROG
\subitem default value, \hyperpage{637}
\subitem variables, \hyperpage{637}
\item PROG2, \hyperpage{637}
\item PROGN, \hyperpage{637}
\item Program, \hyperpage{48}
\item Program structure, \hyperpage{43}
\item {\tt PROLONG}, \hyperpage{329}
\item Proper statement, \hyperpage{58}, \hyperpage{63, 64}
\item {\tt PROPERTIES}, \hyperpage{327}
\item properties, \hyperpage{616}, \hyperpage{629}
\item property list, \hyperpage{629}
\item {\tt PRSYS}, \hyperpage{536}
\item {\tt PS}, \hyperpage{196}, \hyperpage{567}
\item PS operator, \hyperpage{568}
\item PSCHANGEVAR operator, \hyperpage{571}
\item PSCOMPOSE operator, \hyperpage{572}
\item PSDEPVAR operator, \hyperpage{571}
\item {\tt PSE\underscore ELE}, \hyperpage{554}
\item {\tt PSEUDO\underscore DIVIDE}, \hyperpage{139}
\item {\tt PSEUDO\underscore INVERSE}, \hyperpage{404},
\hyperpage{411}
\item {\tt PSEUDO\underscore REMAINDER}, \hyperpage{139}
\item PSEXPANSIONPT operator, \hyperpage{571}
\item PSEXPLIM operator, \hyperpage{568}
\item PSFUNCTION operator, \hyperpage{571}
\item {\tt Psi}, \hyperpage{542}
\item Psi function, \hyperpage{542}
\item PSINTCONST (shared), \hyperpage{569}
\item PSORDER operator, \hyperpage{570}
\item PSORDLIM operator, \hyperpage{569}
\item PSREVERSE operator, \hyperpage{572}
\item PSSETORDER operator, \hyperpage{570}
\item PSSUM operator, \hyperpage{573}
\item PSTERM operator, \hyperpage{570}
\item Puiseux expansion, \hyperpage{572}
\item {\tt PULLBACK}, \hyperpage{328}
\item PUT, \hyperpage{616}, \hyperpage{618}, \hyperpage{630}
\item PUT
\subitem not for functions, \hyperpage{630}
\item {\tt PUTBAG}, \hyperpage{247}
\item PUTCSYSTEM command, \hyperpage{273}
\item PUTD, \hyperpage{616}, \hyperpage{618}, \hyperpage{632}
\item {\tt PUTFLAG}, \hyperpage{253}
\item {\tt PUTGRASS}, \hyperpage{260}
\item {\tt PUTPROP}, \hyperpage{254}
\item PUTV, \hyperpage{639}
\indexspace
\item {\tt QBINOMIAL}, \hyperpage{476}
\item {\tt QBRACKETS}, \hyperpage{476}
\item {\tt QFACTORIAL}, \hyperpage{476}
\item {\tt QG}, \hyperpage{589}
\item {\tt QPHIHYPERTERM}, \hyperpage{476}
\item {\tt QPOCHHAMMER}, \hyperpage{476}
\item {\tt QPSIHYPERTERM}, \hyperpage{476}
\item {\tt QSUM}, \hyperpage{475}
\item {\tt QSUMRECURSION}, \hyperpage{477}
\item Quadrature, \hyperpage{437}
\item {\tt QUASILINEAR}, \hyperpage{330}
\item {\tt QUASILINPDE}, \hyperpage{235}
\item QUIT, \hyperpage{660}
\item {\tt QUIT}, \hyperpage{77}
\item QUOTE, \hyperpage{655}
\item {\tt QUOTE}, \hyperpage{200}
\item QUOTIENT, \hyperpage{645}
\indexspace
\item {\tt R\underscore SOLVE}, \hyperpage{519}
\item {\tt RANDOM}, \hyperpage{82}
\item {\tt RANDOM\underscore MATRIX}, \hyperpage{404},
\hyperpage{409}
\item {\tt RANDOM\underscore NEW\underscore SEED}, \hyperpage{82}
\item {\tt RANDOMLIST}, \hyperpage{250}
\item {\tt RANDPOLY}, \hyperpage{195}, \hyperpage{481}
\item randpoly
\subitem {\tt coeffs}, \hyperpage{483}
\subitem {\tt degree}, \hyperpage{482}
\subitem {\tt dense}, \hyperpage{482}
\subitem {\tt expons}, \hyperpage{483}
\subitem {\tt ord}, \hyperpage{482}
\subitem {\tt sparse}, \hyperpage{482}
\subitem {\tt terms}, \hyperpage{482}
\item {\tt RANK}, \hyperpage{183}
\item {\tt RANPOS}, \hyperpage{330}
\item {\tt RAT}, \hyperpage{117}
\item {\tt RATAPRX}, \hyperpage{487}
\item {\tt RATARG}, \hyperpage{129}, \hyperpage{142}
\item {\tt RATIONAL}, \hyperpage{147}
\item Rational coefficient, \hyperpage{147}
\item Rational function, \hyperpage{133}
\item {\tt RATIONAL2PERIODIC}, \hyperpage{488}
\item {\tt RATIONALIZE}, \hyperpage{150}
\item {\tt ratjordan}, \hyperpage{433}
\item {\tt RATPRI}, \hyperpage{119}
\item {\tt RATROOT}, \hyperpage{517}
\item RDS, \hyperpage{658}
\item {\tt REACTEQN}, \hyperpage{195}, \hyperpage{493}
\item reacteqn
\subitem {\tt inputmat}, \hyperpage{494}
\subitem {\tt outputmat}, \hyperpage{494}
\subitem {\tt rates}, \hyperpage{494}
\subitem {\tt species}, \hyperpage{494}
\item READ, \hyperpage{616}, \hyperpage{622}, \hyperpage{627},
\hyperpage{659}
\item READCH, \hyperpage{622}, \hyperpage{659}, \hyperpage{661}
\item {\tt REAL}, \hyperpage{71}
\item Real, \hyperpage{44, 45}
\item Real coefficient, \hyperpage{147, 148}
\item {\tt REALROOTS}, \hyperpage{514, 515}
\item {\tt RED\underscore HOM\underscore COORDS}, \hyperpage{367}
\item {\tt REDERR}, \hyperpage{189}
\item {\tt REDEXPR}, \hyperpage{257}
\item {\tt REDLOG}, \hyperpage{289}, \hyperpage{495}
\item {\tt REDUCT}, \hyperpage{146}
\item relations
\subitem side, \hyperpage{297}
\item REMAINDER, \hyperpage{645}
\item {\tt REMAINDER}, \hyperpage{139}
\item REMD, \hyperpage{616}, \hyperpage{632}
\item {\tt REMEMBER}, \hyperpage{192}
\item {\tt REMFAC}, \hyperpage{116}
\item REMFLAG, \hyperpage{616}, \hyperpage{630}
\item REMFORDER command, \hyperpage{343}
\item {\tt REMGRASS}, \hyperpage{260}
\item {\tt REMIND}, \hyperpage{212}
\item REMOB, \hyperpage{616}, \hyperpage{629}
\item {\tt REMOVE}, \hyperpage{244}
\item {\tt REMOVE\underscore COLUMNS}, \hyperpage{403},
\hyperpage{407}
\item {\tt REMOVE\underscore ROWS}, \hyperpage{403}, \hyperpage{407}
\item REMPROP, \hyperpage{616}, \hyperpage{630}
\item {\tt REMSYM}, \hyperpage{251}
\item RENOSUM command, \hyperpage{340}
\item {\tt REORDER}, \hyperpage{330}
\item {\tt REPART}, \hyperpage{80, 81}, \hyperpage{83}
\item {\tt REPEAT}, \hyperpage{70--72}, \hyperpage{74}
\item {\tt REPL}, \hyperpage{497}
\item {\tt REPLAST}, \hyperpage{245}
\item {\tt requirements}, \hyperpage{100}
\item Reserved variable, \hyperpage{46, 47}
\item {\tt RESET}, \hyperpage{195}, \hyperpage{243}, \hyperpage{505}
\item {\tt RESETREDUCE}, \hyperpage{505}
\item {\tt RESIDUE}, \hyperpage{195}, \hyperpage{507}
\item {\tt residue}, \hyperpage{507}
\item {\tt REST}, \hyperpage{60}
\item {\tt RESTASLIST}, \hyperpage{246}
\item {\tt RESTRICT}, \hyperpage{328}
\item {\tt RESTRICTIONS}, \hyperpage{327}
\item {\tt RESULT}, \hyperpage{536}
\item {\tt RESULTANT}, \hyperpage{140}
\item {\tt RETRY}, \hyperpage{174}
\item RETUNR
\subitem in CODE, \hyperpage{640}
\item RETURN, \hyperpage{620}, \hyperpage{637}
\item {\tt RETURN}, \hyperpage{72--74}
\item RETURN
\subitem in COND, \hyperpage{636}
\item REVERSE, \hyperpage{651}
\item {\tt REVERSE}, \hyperpage{61}
\item {\tt REVGRADLEX}, \hyperpage{389}
\item REVGRADLEX
\subitem term order, \hyperpage{376}
\item {\tt REVPRI}, \hyperpage{119}
\item {\tt RHS}, \hyperpage{57}
\item RIEMANNCONX command, \hyperpage{343}
\item Riemannian Connections, \hyperpage{343}
\item {\tt RLATAB}, \hyperpage{500}
\item {\tt RLCNF}, \hyperpage{501}
\item {\tt RLDNF}, \hyperpage{501}
\item {\tt RLFI}, \hyperpage{195}, \hyperpage{509}
\item {\tt RLGQE}, \hyperpage{502}
\item {\tt RLGQEA}, \hyperpage{502}
\item {\tt RLGSN}, \hyperpage{500}
\item Rlisp, \hyperpage{219}
\item {\tt RLISP88}, \hyperpage{210}
\item {\tt RLITAB}, \hyperpage{500}
\item {\tt RLNNF}, \hyperpage{501}
\item {\tt RLOPT}, \hyperpage{503}
\item {\tt RLPNF}, \hyperpage{501}
\item {\tt RLQE}, \hyperpage{501}
\item {\tt RLQEA}, \hyperpage{502}
\item {\tt RLREALTIME}, \hyperpage{499}
\item {\tt RLROOTNO}, \hyperpage{514}
\item {\tt RLSET}, \hyperpage{497}
\item {\tt RLSIMPL}, \hyperpage{499}
\item {\tt RLTAB}, \hyperpage{500}
\item {\tt RLVERBOSE}, \hyperpage{499}
\item {\tt ROOT\underscore OF}, \hyperpage{95, 96}
\item {\tt ROOT\underscore VAL}, \hyperpage{515}
\item {\tt ROOTS}, \hyperpage{195}, \hyperpage{513--515}
\item {\tt ROOTS\underscore AT\underscore PREC}, \hyperpage{515}
\item {\tt ROOTSCOMPLEX}, \hyperpage{515}
\item {\tt ROOTSREAL}, \hyperpage{515}
\item {\tt ROUND}, \hyperpage{83}
\item {\tt ROUNDALL}, \hyperpage{149}
\item {\tt ROUNDBF}, \hyperpage{148}
\item {\tt ROUNDED}, \hyperpage{46}, \hyperpage{54}, \hyperpage{86},
\hyperpage{122}, \hyperpage{148}
\item {\tt ROW\underscore DIM}, \hyperpage{403}, \hyperpage{405}
\item {\tt ROWS\underscore PIVOT}, \hyperpage{403}, \hyperpage{406}
\item RPLACA, \hyperpage{627}
\item RPLACD, \hyperpage{627}
\item rsetq operator, \hyperpage{354}
\item {\tt RSOLVE}, \hyperpage{195}, \hyperpage{519}
\item Rule lists, \hyperpage{160}
\item {\tt RZUT}, \hyperpage{554}
\indexspace
\item {\tt S}, \hyperpage{471}
\item {\tt s\underscore i}, \hyperpage{544}
\item {\tt S\underscore INT}, \hyperpage{554}
\item {\tt S\underscore PART}, \hyperpage{554}
\item SASSOC, \hyperpage{651}
\item {\tt SAVEAS}, \hyperpage{113}
\item {\tt SAVESTRUCTR}, \hyperpage{127}
\item Saving an expression, \hyperpage{125}
\item {\tt SCALAR}, \hyperpage{71}
\item Scalar, \hyperpage{53}
\item SCALEFACTORS operator, \hyperpage{272}
\item {\tt SCALOP}, \hyperpage{463}
\item {\tt SCALVECT}, \hyperpage{259}
\item {\tt SCIENTIFIC\underscore NOTATION}, \hyperpage{44}
\item {\tt SCOPE}, \hyperpage{196}
\item scope, \hyperpage{633}
\item scope
\subitem fluid, \hyperpage{633}
\subitem fluid and compiled, \hyperpage{635}
\subitem global, \hyperpage{633}
\subitem local, \hyperpage{633}
\item SCOPE function
\subitem {\tt RESETLENGTH}, \hyperpage{523}
\subitem {\tt SETLENGTH}, \hyperpage{522}
\item SCOPE option
\subitem {\tt INAME}, \hyperpage{522}
\item {\tt SD}, \hyperpage{472}
\item {\tt SD\underscore PART}, \hyperpage{554}
\item {\tt SDIV}, \hyperpage{498}
\item {\tt SEC}, \hyperpage{83}, \hyperpage{86}
\item {\tt SECH}, \hyperpage{83}, \hyperpage{86}
\item {\tt SECOND}, \hyperpage{60}
\item segmenting expressions, \hyperpage{357}
\item {\tt SELECT}, \hyperpage{93}
\item Selector, \hyperpage{205}
\item {\tt SEMANTIC}, \hyperpage{470}
\item Semicolon, \hyperpage{63}
\item {\tt SEMILINEAR}, \hyperpage{330}
\item SET, \hyperpage{616}, \hyperpage{634}
\item {\tt SET}, \hyperpage{65}, \hyperpage{92}
\item {\tt SET\underscore COFRAMING}, \hyperpage{326}
\item {\tt setdiff}, \hyperpage{527}
\item {\tt SETMOD}, \hyperpage{149}
\item {\tt SETP}, \hyperpage{249}
\item SETQ, \hyperpage{616}, \hyperpage{618}, \hyperpage{635}
\item {\tt SETS}, \hyperpage{196}, \hyperpage{525}
\item SGN
\subitem indeterminate sign, \hyperpage{338}
\item {\tt SHARE}, \hyperpage{204}
\item {\tt Shi}, \hyperpage{544}
\item {\tt SHORTEST}, \hyperpage{267}
\item {\tt SHOW}, \hyperpage{255}
\item {\tt SHOW\underscore GRID}, \hyperpage{373}
\item {\tt SHOWRULES}, \hyperpage{165}
\item {\tt SHOWTIME}, \hyperpage{78}
\item {\tt SHUT}, \hyperpage{169--171}
\item {\tt SI}, \hyperpage{471}
\item {\tt Si}, \hyperpage{544}
\item Side effect, \hyperpage{58}
\item side relations, \hyperpage{297}
\item {\tt SIGN}, \hyperpage{83}
\item {\tt SIMPLEX}, \hyperpage{404}, \hyperpage{412}
\item Simplex Algorithm, \hyperpage{412}
\item Simplification, \hyperpage{54}, \hyperpage{111}
\item {\tt SIMPLIFY}, \hyperpage{253}
\item {\tt simplify\underscore combinatorial}, \hyperpage{604}
\item {\tt simplify\underscore gamma}, \hyperpage{604}
\item {\tt simplify\underscore gamma2}, \hyperpage{604}
\item {\tt simplify\underscore gamman}, \hyperpage{605}
\item {\tt SIMPSYS}, \hyperpage{536}
\item {\tt SIN}, \hyperpage{83}, \hyperpage{86}
\item {\tt SINH}, \hyperpage{83}, \hyperpage{86}
\item {\tt SixJSymbol}, \hyperpage{543}
\item {\tt size}, \hyperpage{372}
\item {\tt SMACRO}, \hyperpage{203}
\item {\tt smithex}, \hyperpage{432}
\item {\tt smithex\underscore int}, \hyperpage{432}
\item {\tt SolidHarmonicY}, \hyperpage{543}
\item {\tt SOLVE}, \hyperpage{94, 95}, \hyperpage{99}
\item SOLVE package
\subitem with ROOTS package, \hyperpage{513}
\item {\tt SOLVESINGULAR}, \hyperpage{99}
\item {\tt SORTLIST}, \hyperpage{251}
\item {\tt SORTNUMLIST}, \hyperpage{251}
\item {\tt SORTOUTODE}, \hyperpage{450}
\item SPACEDIM command, \hyperpage{335}
\item {\tt SPADD\underscore COLUMNS}, \hyperpage{532}
\item {\tt SPADD\underscore ROWS}, \hyperpage{532}
\item {\tt SPADD\underscore TO\underscore COLUMNS}, \hyperpage{532}
\item {\tt SPADD\underscore TO\underscore ROWS}, \hyperpage{532}
\item {\tt SPARSE}, \hyperpage{531}
\item {\tt SPARSE, Sparse matrices}, \hyperpage{531}
\item {\tt SPARSEMATP}, \hyperpage{533}
\item {\tt SPAUGMENT\underscore COLUMNS}, \hyperpage{532}
\item {\tt SPBAND\underscore MATRIX}, \hyperpage{532}
\item {\tt SPBLOCK\underscore MATRIX}, \hyperpage{532}
\item {\tt SPCHAR\underscore MATRIX}, \hyperpage{532}
\item {\tt SPCHAR\underscore POLY}, \hyperpage{532}
\item {\tt SPCHOLESKY}, \hyperpage{532}
\item {\tt SPCOEFF\underscore MATRIX}, \hyperpage{532}
\item {\tt SPCOL\underscore DIM}, \hyperpage{532}
\item {\tt SPCOMPANION}, \hyperpage{532}
\item {\tt SPCOPY\underscore INTO}, \hyperpage{532}
\item {\tt SPDE}, \hyperpage{196}, \hyperpage{535}
\item {\tt SPDIAGONAL}, \hyperpage{532}
\item {\tt SPECFN}, \hyperpage{85}, \hyperpage{196}, \hyperpage{539}
\item {\tt SPECFN2}, \hyperpage{196}, \hyperpage{545}
\item {\tt SPEXTEND}, \hyperpage{532}
\item {\tt SPFIND\underscore COMPANION}, \hyperpage{532}
\item {\tt SPGET\underscore COLUMNS}, \hyperpage{532}
\item {\tt SPGET\underscore ROWS}, \hyperpage{532}
\item {\tt SPGRAM\underscore SCHMIDT}, \hyperpage{532}
\item spherical coordinates, \hyperpage{453}
\item {\tt SphericalHarmonicY}, \hyperpage{543}
\item {\tt SPHERMITIAN\underscore TP}, \hyperpage{532}
\item {\tt SPHESSIAN}, \hyperpage{532}
\item {\tt SPJACOBIAN}, \hyperpage{532}
\item {\tt SPJORDAN\underscore BLOCK}, \hyperpage{532}
\item {\tt SPLIT\underscore FIELD}, \hyperpage{241}
\item {\tt SPLITPLUSMINUS}, \hyperpage{258}
\item {\tt SPLITTERMS}, \hyperpage{257}
\item {\tt SPLU\underscore DECOM}, \hyperpage{532}
\item {\tt SPMAKE\underscore IDENTITY}, \hyperpage{532}
\item {\tt SPMATRIX\underscore AUGMENT}, \hyperpage{532}
\item {\tt SPMATRIX\underscore STACK}, \hyperpage{532}
\item {\tt SPMINOR}, \hyperpage{532}
\item {\tt SPMULT\underscore COLUMNS}, \hyperpage{532}
\item {\tt SPMULT\underscore ROWS}, \hyperpage{532}
\item {\tt SPPIVOT}, \hyperpage{532}
\item {\tt SPPSEUDO\underscore INVERSE}, \hyperpage{532}
\item SPREAD
\subitem function type, \hyperpage{621}
\item {\tt SPREMOVE\underscore COLUMNS}, \hyperpage{532}
\item {\tt SPREMOVE\underscore ROWS}, \hyperpage{532}
\item {\tt SPROW\underscore DIM}, \hyperpage{532}
\item {\tt SPROWS\underscore PIVOT}, \hyperpage{532}
\item {\tt SPSTACK\underscore ROWS}, \hyperpage{532}
\item {\tt SPSUB\underscore MATRIX}, \hyperpage{532}
\item {\tt SPSWAP\underscore COLUMNS}, \hyperpage{532}
\item {\tt SPSWAP\underscore ENTRIES}, \hyperpage{532}
\item {\tt SPSWAP\underscore ROWS}, \hyperpage{532}
\item {\tt SpTT}, \hyperpage{589}
\item {\tt SPUR}, \hyperpage{216}
\item {\tt SQFRF}, \hyperpage{517}
\item {\tt SQRDIST}, \hyperpage{367}
\item {\tt SQRT}, \hyperpage{83}, \hyperpage{86}
\item {\tt SQUAREP}, \hyperpage{404}, \hyperpage{533}
\item {\tt STACK\underscore ROWS}, \hyperpage{403}, \hyperpage{407}
\item standard devices, \hyperpage{655}
\item Standard form, \hyperpage{205}
\item standard input, \hyperpage{658}
\item {\tt Standard Lisp Report}, \hyperpage{613}
\item standard output, \hyperpage{659}
\item Standard quotient, \hyperpage{205}
\item STANDARD-LISP, \hyperpage{660}
\item {\tt STATE}, \hyperpage{463}
\item Statement, \hyperpage{63}
\item Stirling numbers, \hyperpage{542}
\item {\tt Stirling1}, \hyperpage{542}
\item {\tt Stirling2}, \hyperpage{542}
\item String, \hyperpage{47}
\item string, \hyperpage{617}
\item string
\subitem output, \hyperpage{628}
\item STRINGP, \hyperpage{625}
\item {\tt STRUCTR}, \hyperpage{126, 127}
\item {\tt STRUCTURE\underscore EQUATIONS}, \hyperpage{327},
\hyperpage{330}
\item structures, \hyperpage{619}
\item Structuring, \hyperpage{111}
\item Struve functions, \hyperpage{543}
\item {\tt StruveH}, \hyperpage{543}
\item StruveH transform, \hyperpage{307}
\item {\tt StruveL}, \hyperpage{543}
\item {\tt SUB}, \hyperpage{57}, \hyperpage{151}, \hyperpage{499}
\item SUB1, \hyperpage{646}
\item {\tt SUB\underscore MATRIX}, \hyperpage{403}
\item SUBLIS, \hyperpage{652}
\item {\tt SUBMAT}, \hyperpage{262}
\item SUBROUTINE, \hyperpage{357}
\item {\tt subset}, \hyperpage{528}
\item {\tt subset\underscore eq}, \hyperpage{528}
\item SUBST, \hyperpage{652}
\item Substitution, \hyperpage{151}
\item {\tt SUCH THAT}, \hyperpage{156}
\item {\tt SUdim}, \hyperpage{589}
\item {\tt SUM}, \hyperpage{67, 68}, \hyperpage{196},
\hyperpage{547}
\item SUM operator, \hyperpage{547}
\item {\tt SUM-SQ}, \hyperpage{548}
\item {\tt sumrecursion}, \hyperpage{601}
\item {\tt sumtohyper}, \hyperpage{603}
\item {\tt SUMVECT}, \hyperpage{259}
\item {\tt SUPPRESS}, \hyperpage{255}
\item {\tt surface}, \hyperpage{372}
\item {\tt SUSY2}, \hyperpage{551}
\item {\tt SVD}, \hyperpage{404}, \hyperpage{412}, \hyperpage{532}
\item {\tt SVEC}, \hyperpage{454}
\item {\tt SWAP\underscore COLUMNS}, \hyperpage{403},
\hyperpage{406}
\item {\tt SWAP\underscore ENTRIES}, \hyperpage{403},
\hyperpage{406}
\item {\tt SWAP\underscore ROWS}, \hyperpage{403}, \hyperpage{406}
\item Switch, \hyperpage{76, 77}
\item {\tt SWITCHES}, \hyperpage{243}
\item {\tt SWITCHORG}, \hyperpage{243}
\item {\tt SYMB\underscore TO\underscore ALG}, \hyperpage{256}
\item {\tt SYMBOL\underscore MATRIX}, \hyperpage{330}
\item {\tt SYMBOL\underscore RELATIONS}, \hyperpage{330}
\item {\tt SYMBOLIC}, \hyperpage{197}
\item Symbolic mode, \hyperpage{197}, \hyperpage{199},
\hyperpage{203, 204}
\item Symbolic procedure, \hyperpage{202}
\item {\tt SYMDIFF}, \hyperpage{249}
\item {\tt SYMLINE}, \hyperpage{367}
\item {\tt SYMMETRIC}, \hyperpage{106}, \hyperpage{320},
\hyperpage{409}
\item {\tt SYMMETRICP}, \hyperpage{404}, \hyperpage{533}
\item {\tt SYMMETRIZE}, \hyperpage{251}
\item {\tt SYMMETRY}, \hyperpage{196}, \hyperpage{557}
\item {\tt symmetrybasis}, \hyperpage{558}
\item {\tt symmetrybasispart}, \hyperpage{558}
\item {\tt SYMPOINT}, \hyperpage{367}
\item {\tt SYMTREE}, \hyperpage{320}
\item {\tt SYSTEM}, \hyperpage{327}
\indexspace
\item {\tt T}, \hyperpage{47}
\item T
\subitem cannot be changed, \hyperpage{634, 635}, \hyperpage{661}
\item T (global), \hyperpage{619}, \hyperpage{622}, \hyperpage{661}
\item {\tt TABLEAU}, \hyperpage{329}
\item {\tt TAN}, \hyperpage{83}, \hyperpage{86}, \hyperpage{90}
\item tangent vector, \hyperpage{336}
\item {\tt TANH}, \hyperpage{83}, \hyperpage{86}
\item {\tt TAYLOR}, \hyperpage{196}, \hyperpage{561}
\item TAYLOR package, \hyperpage{561}
\item Taylor Series, \hyperpage{561}
\item Taylor series
\subitem arithmetic, \hyperpage{563}
\subitem differentiation, \hyperpage{564}
\subitem integration, \hyperpage{564}
\subitem reversion, \hyperpage{564}
\subitem substitution, \hyperpage{564}
\item TAYLORAUTOCOMBINE switch, \hyperpage{564}
\item TAYLORAUTOEXPAND switch, \hyperpage{564, 565}
\item {\tt TAYLORCOMBINE}, \hyperpage{563}
\item {\tt TAYLORKEEPORIGINAL}, \hyperpage{563}
\item TAYLORKEEPORIGINAL switch, \hyperpage{562}, \hyperpage{565}
\item TAYLORPRINTORDER switch, \hyperpage{565}
\item TAYLORPRINTTERMS variable, \hyperpage{562}
\item {\tt TAYLORSERIESP}, \hyperpage{563}
\item {\tt TAYLORTEMPLATE}, \hyperpage{563}
\item {\tt TAYLORTOSTANDARD}, \hyperpage{563}
\item {\tt TCLEAR}, \hyperpage{266}
\item templates, \hyperpage{358}
\item {\tt TENSOP}, \hyperpage{463}
\item {\tt TENSOR}, \hyperpage{266}
\item tensor product, \hyperpage{410}
\item {\tt terminal}, \hyperpage{372}
\item Terminator, \hyperpage{63}
\item TERPRI, \hyperpage{656}, \hyperpage{659}
\item {\tt TESTBOOL}, \hyperpage{280}
\item {\tt TEX}, \hyperpage{577}
\item {\tt TEXBREAK}, \hyperpage{577}
\item {\tt TEXINDENT}, \hyperpage{577}
\item {\tt TeXitem}, \hyperpage{579}
\item {\tt TeXlet}, \hyperpage{578}
\item {\tt TeXsetbreak}, \hyperpage{578}
\item {\tt THIRD}, \hyperpage{60}
\item {\tt ThreeJSymbol}, \hyperpage{543}
\item {\tt TIME}, \hyperpage{76}
\item TIMES, \hyperpage{646}
\item TIMES2, \hyperpage{646}
\item {\tt title}, \hyperpage{372}
\item {\tt TOEPLITZ}, \hyperpage{404}, \hyperpage{410}
\item {\tt togamma}, \hyperpage{603}
\item {\tt TORDER}, \hyperpage{377}
\item {\tt TORSION}, \hyperpage{329}
\item {\tt TP}, \hyperpage{181}
\item {\tt TPMAT}, \hyperpage{262}
\item {\tt TPS}, \hyperpage{196}, \hyperpage{567}
\item {\tt TRA}, \hyperpage{233}
\item {\tt TRACE}, \hyperpage{181}
\item {\tt TRACEFPS}, \hyperpage{350}
\item tracing
\subitem EXCALC, \hyperpage{342}
\item {\tt TRAD}, \hyperpage{555}
\item {\tt TRANSFORM}, \hyperpage{328}
\item {\tt TRFAC}, \hyperpage{136}
\item {\tt TRGROEB}, \hyperpage{382}
\item {\tt TRGROEB1}, \hyperpage{382}
\item {\tt TRGROEBS}, \hyperpage{382}
\item {\tt TRI}, \hyperpage{196}, \hyperpage{577}
\item TRI
\subitem page-width, \hyperpage{578}
\subitem tolerance, \hyperpage{578}
\item {\tt TRIANG\underscore ADJOINT}, \hyperpage{404},
\hyperpage{412}
\item {\tt TRIGEXPAND}, \hyperpage{258}
\item {\tt trigfactorize}, \hyperpage{585}
\item {\tt TRIGFORM}, \hyperpage{97}
\item {\tt triggcd}, \hyperpage{586}
\item {\tt trigonometric\underscore base}, \hyperpage{446}
\item {\tt TRIGREDUCE}, \hyperpage{258}
\item {\tt TRIGSIMP}, \hyperpage{85}, \hyperpage{196},
\hyperpage{583}
\item {\tt trigsimp}, \hyperpage{584}
\item trigsimp
\subitem combine, \hyperpage{584}
\subitem compact, \hyperpage{584}
\subitem cos, \hyperpage{584}
\subitem cosh, \hyperpage{584}
\subitem expand, \hyperpage{584}
\subitem expon, \hyperpage{584}
\subitem hyp, \hyperpage{584}
\subitem keepalltrig, \hyperpage{584}
\subitem sin, \hyperpage{584}
\subitem sinh, \hyperpage{584}
\subitem trig, \hyperpage{584}
\item {\tt TRUE}, \hyperpage{497}
\item truncated power series, \hyperpage{567}
\item {\tt TSYM}, \hyperpage{266}
\item TVECTOR command, \hyperpage{334}
\indexspace
\item UNFLUID, \hyperpage{616}, \hyperpage{635}
\item {\tt UNION}, \hyperpage{249}
\item {\tt union}, \hyperpage{526}
\item {\tt UNITMAT}, \hyperpage{260}
\item {\tt UNTIL}, \hyperpage{67}
\item UPBV, \hyperpage{640}
\item {\tt UPPER\underscore MATRIX}, \hyperpage{409}
\item User packages, \hyperpage{193}
\indexspace
\item values, \hyperpage{616}
\item {\tt VANDERMONDE}, \hyperpage{404}, \hyperpage{410}
\item {\tt VARDF}, \hyperpage{339}
\item Variable, \hyperpage{46}
\item variable scope, \hyperpage{633}
\item variational derivative, \hyperpage{339}
\item {\tt VARNAME}, \hyperpage{125, 126}
\item {\tt varopt}, \hyperpage{102}
\item {\tt VARPOINT}, \hyperpage{367}
\item {\tt VCONCMAT}, \hyperpage{262}
\item {\tt VDF}, \hyperpage{457}
\item VEC command, \hyperpage{269}
\item {\tt VECDIM}, \hyperpage{218}
\item {\tt VECOP}, \hyperpage{463}
\item {\tt VECTOR}, \hyperpage{214}
\item vector, \hyperpage{617}, \hyperpage{639}
\item vector
\subitem addition, \hyperpage{455}
\subitem cross product, \hyperpage{455}
\subitem differentiation, \hyperpage{271}
\subitem division, \hyperpage{455}
\subitem dot product, \hyperpage{456}
\subitem exponentiation, \hyperpage{456}
\subitem inner product, \hyperpage{456}
\subitem integration, \hyperpage{271}
\subitem modulus, \hyperpage{456}
\subitem multiplication, \hyperpage{455}
\subitem subtraction, \hyperpage{455}
\item vector-notation, \hyperpage{618}
\item {\tt VECTORADD}, \hyperpage{455}
\item {\tt VECTORCROSS}, \hyperpage{455}
\item {\tt VECTORDIFFERENCE}, \hyperpage{455}
\item {\tt VECTOREXPT}, \hyperpage{456}
\item {\tt VECTORMINUS}, \hyperpage{455}
\item VECTORP, \hyperpage{625}
\item {\tt VECTORPLUS}, \hyperpage{455}
\item {\tt VECTORQUOTIENT}, \hyperpage{455}
\item {\tt VECTORRECIP}, \hyperpage{455}
\item {\tt VECTORTIMES}, \hyperpage{455}
\item {\tt VERBATIM}, \hyperpage{509}
\item {\tt view}, \hyperpage{372}
\item {\tt VINT}, \hyperpage{458}
\item {\tt VMOD}, \hyperpage{456}
\item VMOD operator, \hyperpage{270}
\item {\tt VOLINT}, \hyperpage{458}
\item VOLINTEGRAL function, \hyperpage{274}
\item VOLINTORDER vector, \hyperpage{274}
\item {\tt VORDER}, \hyperpage{458}
\item {\tt VOUT}, \hyperpage{454}
\item {\tt VSTART}, \hyperpage{453}
\item {\tt VTAYLOR}, \hyperpage{457}
\indexspace
\item {\tt W\underscore COMB}, \hyperpage{554}
\item {\tt WAR}, \hyperpage{554}
\item warning messages, \hyperpage{622}
\item {\tt WEB}, \hyperpage{416}
\item {\tt WEIGHT}, \hyperpage{167}
\item {\tt WHEN}, \hyperpage{161}
\item {\tt WHERE}, \hyperpage{161}
\item {\tt WHILE}, \hyperpage{69}, \hyperpage{71, 72},
\hyperpage{74}
\item Whittaker functions, \hyperpage{543}
\item {\tt WhittakerM}, \hyperpage{543}
\item {\tt WhittakerW}, \hyperpage{543}
\item Workspace, \hyperpage{113}
\item {\tt WRITE}, \hyperpage{120}
\item WRS, \hyperpage{659}
\item {\tt WS}, \hyperpage{39}, \hyperpage{174}
\item {\tt WTLEVEL}, \hyperpage{167}
\item {\tt WU}, \hyperpage{196}, \hyperpage{587}
\indexspace
\item {\tt XCOLOR}, \hyperpage{196}, \hyperpage{589}
\item {\tt XFULLREDUCE}, \hyperpage{595}
\item {\tt XIDEAL}, \hyperpage{196}, \hyperpage{593, 594}
\item {\tt xlabel}, \hyperpage{372}
\item {\tt XMODULO}, \hyperpage{594}
\item {\tt XMODULOP}, \hyperpage{595}
\item XPND
\subitem @, \hyperpage{337}
\subitem D, \hyperpage{337}
\item {\tt XSTATS}, \hyperpage{595}
\indexspace
\item Y-transform, \hyperpage{307}
\item {\tt ylabel}, \hyperpage{372}
\indexspace
\item {\tt ZEILBERG}, \hyperpage{196}, \hyperpage{599}
\item {\tt ZERO\underscore FORMS}, \hyperpage{327}
\item ZEROP, \hyperpage{625}
\item {\tt Zeta}, \hyperpage{542}
\item Zeta function (Riemann's), \hyperpage{542}
\item {\tt Zeta\underscore function}, \hyperpage{544}
\item {\tt zlabel}, \hyperpage{372}
\item {\tt ZTRANS}, \hyperpage{196}, \hyperpage{607}
\item {\tt ztrans}, \hyperpage{607}
\end{theindex}