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\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{378} \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{378} \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{382} \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{378} \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{378} \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{376} \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}