 Index Entry   Section 

!   
 ! :   Combinatorial Functions 
 ! :   Logical Operations 
 !! :   Combinatorial Functions 
 !!! :   Other Features of Rewrite Rules 
 != :   Logical Operations 

%   
 % :   Basic Arithmetic 
 % :   Percentages 

&   
 && :   Logical Operations 
 &&& :   Other Features of Rewrite Rules 

*   
 * :   Basic Arithmetic 

+   
 + :   Basic Arithmetic 
 +/ :   Error Forms 

   
  :   Basic Arithmetic 

/   
 / :   Basic Arithmetic 

:   
 : :   Logical Operations 
 :: :   Other Features of Rewrite Rules 
 := :   EvaluatesTo Operator 

<   
 < :   Logical Operations 
 <= :   Logical Operations 

=   
 = :   Logical Operations 
 == :   Logical Operations 
 => :   EvaluatesTo Operator 

>   
 > :   Logical Operations 
 >= :   Logical Operations 

?   
 ? :   Logical Operations 

\   
 \ :   Basic Arithmetic 

^   
 ^ :   Basic Arithmetic 

_   
 _ :   Extracting Elements 

   
  :   Building Vectors 
  :   Logical Operations 
  :   Other Features of Rewrite Rules 

A   
 abs :   Basic Arithmetic 
 abs (vectors) :   Vector and Matrix Arithmetic 
 abssqr :   Basic Arithmetic 
 accum :   Reducing 
 acute :   TeX and LaTeX Language Modes 
 Acute :   TeX and LaTeX Language Modes 
 add :   Specifying Operators 
 afixp :   Nesting and Fixed Points 
 agmean :   SingleVariable Statistics 
 alog :   Logarithmic Functions 
 an :   Multiple Solutions 
 and :   Binary Functions 
 anest :   Nesting and Fixed Points 
 apart :   Polynomials 
 append :   Building Vectors 
 apply :   Reducing and Mapping 
 apply (rewrites) :   Other Features of Rewrite Rules 
 arccos :   Trigonometric and Hyperbolic Functions 
 arccosh :   Trigonometric and Hyperbolic Functions 
 arcsin :   Trigonometric and Hyperbolic Functions 
 arcsincos :   Trigonometric and Hyperbolic Functions 
 arcsinh :   Trigonometric and Hyperbolic Functions 
 arctan :   Trigonometric and Hyperbolic Functions 
 arctan2 :   Trigonometric and Hyperbolic Functions 
 arctanh :   Trigonometric and Hyperbolic Functions 
 arg :   Complex Number Functions 
 arrange :   Manipulating Vectors 
 as :   Multiple Solutions 
 ash :   Binary Functions 
 assign :   EvaluatesTo Operator 
 asum :   Summations 

B   
 badd :   Business Days 
 bar :   TeX and LaTeX Language Modes 
 Bar :   TeX and LaTeX Language Modes 
 bcount :   Bit Counting Example 
 bern :   Combinatorial Functions 
 besJ :   Advanced Math Functions 
 besY :   Advanced Math Functions 
 beta :   Advanced Math Functions 
 betaB :   Advanced Math Functions 
 betaI :   Advanced Math Functions 
 breve :   TeX and LaTeX Language Modes 
 Breve :   TeX and LaTeX Language Modes 
 bstring :   Strings 
 bsub :   Business Days 

C   
 call :   Specifying Operators 
 cascent :   Information about Compositions 
 cbase :   Vertical Compositions 
 cbbase :   Vertical Compositions 
 cbspace :   Other Compositions 
 cdescent :   Information about Compositions 
 ceil :   Integer Truncation 
 cflat :   Other Compositions 
 check :   TeX and LaTeX Language Modes 
 Check :   TeX and LaTeX Language Modes 
 cheight :   Information about Compositions 
 choose :   Combinatorial Functions 
 choriz :   Horizontal Compositions 
 clean :   Conversions 
 clip :   Binary Functions 
 clvert :   Vertical Compositions 
 cnorm :   Vector and Matrix Arithmetic 
 collect :   Polynomials 
 condition :   Other Features of Rewrite Rules 
 conj :   Complex Number Functions 
 cons :   Building Vectors 
 cons (rewrites) :   Other Features of Rewrite Rules 
 constant :   Logical Operations 
 cos :   Trigonometric and Hyperbolic Functions 
 cosh :   Trigonometric and Hyperbolic Functions 
 cot :   Trigonometric and Hyperbolic Functions 
 coth :   Trigonometric and Hyperbolic Functions 
 cprec :   Composition Basics 
 cross :   Vector and Matrix Arithmetic 
 crule :   Vertical Compositions 
 crvert :   Vertical Compositions 
 csc :   Trigonometric and Hyperbolic Functions 
 csch :   Trigonometric and Hyperbolic Functions 
 cspace :   Other Compositions 
 csub :   Other Compositions 
 csup :   Other Compositions 
 ctbase :   Vertical Compositions 
 ctrn :   Vector and Matrix Arithmetic 
 ctspace :   Other Compositions 
 curve :   Composing Patterns in Rewrite Rules 
 cvec :   Building Vectors 
 cvert :   Vertical Compositions 
 cvspace :   Other Compositions 
 cwidth :   Information about Compositions 

D   
 date :   Date Conversions 
 day :   Date Functions 
 dbfield :   Logarithmic Units 
 dbpower :   Logarithmic Units 
 ddb :   Depreciation Functions 
 ddddot :   TeX and LaTeX Language Modes 
 dddot :   TeX and LaTeX Language Modes 
 decr :   Basic Arithmetic 
 deg :   Conversions 
 deriv :   Differentiation 
 det :   Vector and Matrix Arithmetic 
 deven :   Functions for Declarations 
 dfact :   Combinatorial Functions 
 diag :   Building Vectors 
 diff :   Binary Functions 
 dimag :   Functions for Declarations 
 dint :   Functions for Declarations 
 div :   Specifying Operators 
 dnatnum :   Functions for Declarations 
 dneg :   Functions for Declarations 
 dnonneg :   Functions for Declarations 
 dnonzero :   Functions for Declarations 
 dnumint :   Functions for Declarations 
 dodd :   Functions for Declarations 
 dot :   TeX and LaTeX Language Modes 
 Dot :   TeX and LaTeX Language Modes 
 dotdot :   TeX and LaTeX Language Modes 
 DotDot :   TeX and LaTeX Language Modes 
 dpos :   Functions for Declarations 
 drange :   Functions for Declarations 
 drat :   Functions for Declarations 
 dreal :   Functions for Declarations 
 dsadj :   Time Zones 
 dscalar :   Functions for Declarations 
 dyad :   TeX and LaTeX Language Modes 

E   
 efit :   Error Estimates for Fits 
 egcd :   Combinatorial Functions 
 Ei :   Customizing the Integrator 
 elim :   Solving Systems of Equations 
 ends :   Composing Patterns in Rewrite Rules 
 eq :   Logical Operations 
 erf :   Advanced Math Functions 
 erfc :   Advanced Math Functions 
 esimplify :   Unsafe Simplifications 
 euler :   Combinatorial Functions 
 eval :   Other Features of Rewrite Rules 
 evalextsimp :   Other Features of Rewrite Rules 
 evalsimp :   Other Features of Rewrite Rules 
 evalto :   EvaluatesTo Operator 
 evalv :   Algebraic Manipulation 
 evalvn :   Algebraic Manipulation 
 exp :   Logarithmic Functions 
 exp10 :   Logarithmic Functions 
 expand :   Polynomials 
 expm1 :   Logarithmic Functions 

F   
 fact :   Combinatorial Functions 
 factor :   Polynomials 
 factors :   Polynomials 
 fceil :   Integer Truncation 
 fdiv :   Basic Arithmetic 
 ffinv :   Multiple Solutions 
 ffloor :   Integer Truncation 
 fib :   Rewrites Tutorial 
 find :   Manipulating Vectors 
 finv :   Multiple Solutions 
 fit :   Linear Fits 
 fitdummy :   Curve Fitting Details 
 fitmodel :   Curve Fitting Details 
 fitparam :   Curve Fitting Details 
 fitsystem :   Curve Fitting Details 
 fitvar :   Curve Fitting Details 
 fixp :   Nesting and Fixed Points 
 float :   Conversions 
 floor :   Integer Truncation 
 frac :   Conversions 
 freq :   Musical Notes 
 fround :   Integer Truncation 
 frounde :   Integer Truncation 
 froundu :   Integer Truncation 
 fsolve :   Multiple Solutions 
 ftrunc :   Integer Truncation 
 fv :   Future Value 
 fvb :   Future Value 
 fvl :   Future Value 

G   
 gamma :   Advanced Math Functions 
 gammag :   Advanced Math Functions 
 gammaG :   Advanced Math Functions 
 gammaP :   Advanced Math Functions 
 gammaQ :   Advanced Math Functions 
 gcd :   Combinatorial Functions 
 geq :   Logical Operations 
 getdiag :   Extracting Elements 
 gpoly :   Decomposing Polynomials 
 grade :   Manipulating Vectors 
 grave :   TeX and LaTeX Language Modes 
 Grave :   TeX and LaTeX Language Modes 
 gt :   Logical Operations 

H   
 hasfitparams :   Curve Fitting Details 
 hasfitvars :   Curve Fitting Details 
 hat :   TeX and LaTeX Language Modes 
 Hat :   TeX and LaTeX Language Modes 
 head :   Building Vectors 
 histogram :   Manipulating Vectors 
 hms :   Conversions 
 holiday :   Business Days 
 hour :   Date Functions 
 hypot :   Basic Arithmetic 

I   
 idiv :   Basic Arithmetic 
 idn :   Building Vectors 
 ierf :   Other Features of Rewrite Rules 
 if :   Logical Operations 
 ilog :   Logarithmic Functions 
 im :   Complex Number Functions 
 import :   Other Features of Rewrite Rules 
 in :   Logical Operations 
 incmonth :   Date Functions 
 incr :   Basic Arithmetic 
 incyear :   Date Functions 
 index :   Building Vectors 
 inner :   Generalized Products 
 integ :   Integration 
 integer :   Logical Operations 
 intv :   Interval Forms 
 inv :   Basic Arithmetic 
 inv (matrices) :   Vector and Matrix Arithmetic 
 irr :   Related Financial Functions 
 irrb :   Related Financial Functions 
 islin :   Logical Operations 
 islinnt :   Logical Operations 
 isqrt :   Basic Arithmetic 
 istrue :   Logical Operations 
 iterations :   Nested Formulas with Rewrite Rules 

J   
 julian :   Date Conversions 

K   
 kron :   Vector and Matrix Arithmetic 

L   
 lambda :   Specifying Operators 
 land :   Logical Operations 
 lcm :   Combinatorial Functions 
 leq :   Logical Operations 
 let :   Other Features of Rewrite Rules 
 lin :   Logical Operations 
 linnt :   Logical Operations 
 ln :   Logarithmic Functions 
 lnot :   Logical Operations 
 lnp1 :   Logarithmic Functions 
 log :   Logarithmic Functions 
 log10 :   Logarithmic Functions 
 lor :   Logical Operations 
 lsh :   Binary Functions 
 lt :   Logical Operations 
 ltpb :   Probability Distribution Functions 
 ltpc :   Probability Distribution Functions 
 ltpf :   Probability Distribution Functions 
 ltpn :   Probability Distribution Functions 
 ltpp :   Probability Distribution Functions 
 ltpt :   Probability Distribution Functions 
 lud :   Vector and Matrix Arithmetic 
 lufadd :   Logarithmic Units 
 lufdiv :   Logarithmic Units 
 lufmul :   Logarithmic Units 
 lufquant :   Logarithmic Units 
 lufsub :   Logarithmic Units 
 lupadd :   Logarithmic Units 
 lupdiv :   Logarithmic Units 
 lupmul :   Logarithmic Units 
 lupquant :   Logarithmic Units 
 lupsub :   Logarithmic Units 

M   
 makemod :   Modulo Forms 
 mant :   Basic Arithmetic 
 map :   Mapping 
 mapa :   Mapping 
 mapc :   Mapping 
 mapd :   Mapping 
 mapeq :   Algebraic Manipulation 
 mapeqp :   Algebraic Manipulation 
 mapeqr :   Algebraic Manipulation 
 mapr :   Mapping 
 match :   Matching Commands 
 matches :   Matching Commands 
 matchnot :   Matching Commands 
 max :   Basic Arithmetic 
 maximize :   Minimization 
 mcol :   Extracting Elements 
 mdims :   Manipulating Vectors 
 midi :   Musical Notes 
 min :   Basic Arithmetic 
 minimize :   Minimization 
 minute :   Date Functions 
 mod :   Specifying Operators 
 mod (operator) :   Modulo Forms 
 moebius :   Combinatorial Functions 
 month :   Date Functions 
 mrcol :   Extracting Elements 
 mrow :   Extracting Elements 
 mrrow :   Extracting Elements 
 mul :   Specifying Operators 
 mysin :   Sine Example 

N   
 neg :   Specifying Operators 
 negative :   Logical Operations 
 neq :   Logical Operations 
 nest :   Nesting and Fixed Points 
 newmonth :   Date Functions 
 newweek :   Date Functions 
 newyear :   Date Functions 
 nextprime :   Combinatorial Functions 
 ninteg :   Numerical Integration 
 nonvar :   Logical Operations 
 not :   Binary Functions 
 now :   Date Functions 
 nper :   Related Financial Functions 
 nperb :   Related Financial Functions 
 nperl :   Related Financial Functions 
 npfield :   Logarithmic Units 
 nppower :   Logarithmic Units 
 npv :   Present Value 
 npvb :   Present Value 
 nrat :   Polynomials 
 nroot :   Basic Arithmetic 
 nterms :   Rewrites Answer 5 

O   
 opt :   Other Features of Rewrite Rules 
 or :   Binary Functions 
 outer :   Generalized Products 

P   
 pack :   Packing and Unpacking 
 pand :   Other Features of Rewrite Rules 
 pclean :   Conversions 
 pcont :   Decomposing Polynomials 
 pdeg :   Decomposing Polynomials 
 pdiv :   Polynomials 
 pdivide :   Polynomials 
 pdivrem :   Polynomials 
 percent :   Percentages 
 perm :   Combinatorial Functions 
 pfloat :   Conversions 
 pfrac :   Conversions 
 pgcd :   Polynomials 
 phase :   MultiPhase Rewrite Rules 
 plain :   Other Features of Rewrite Rules 
 plead :   Decomposing Polynomials 
 pmt :   Related Financial Functions 
 pmtb :   Related Financial Functions 
 pnot :   Other Features of Rewrite Rules 
 polar :   Conversions 
 polint :   Interpolation 
 poly :   Decomposing Polynomials 
 por :   Other Features of Rewrite Rules 
 pow :   Specifying Operators 
 pprim :   Decomposing Polynomials 
 prem :   Polynomials 
 prevprime :   Combinatorial Functions 
 prfac :   Combinatorial Functions 
 Prime :   TeX and LaTeX Language Modes 
 prime :   Combinatorial Functions 
 prod :   Summations 
 pv :   Present Value 
 pvb :   Present Value 
 pvl :   Present Value 
 pwday :   Date Functions 

Q   
 quote :   Other Features of Rewrite Rules 

R   
 raccum :   Reducing 
 rad :   Conversions 
 random :   Random Numbers 
 rash :   Binary Functions 
 rate :   Related Financial Functions 
 rateb :   Related Financial Functions 
 ratel :   Related Financial Functions 
 ratint :   Interpolation 
 rcons :   Building Vectors 
 rcons (rewrites) :   Other Features of Rewrite Rules 
 rdup :   Set Operations 
 re :   Complex Number Functions 
 real :   Logical Operations 
 rect :   Conversions 
 reduce :   Reducing 
 reducea :   Reducing 
 reducec :   Reducing 
 reduced :   Reducing 
 reducer :   Reducing 
 refers :   Logical Operations 
 relch :   Percentages 
 remember :   Other Features of Rewrite Rules 
 rev :   Manipulating Vectors 
 rewrite :   Rewrite Rules 
 rgrade :   Manipulating Vectors 
 rhead :   Building Vectors 
 rmeq :   Logical Operations 
 rnorm :   Vector and Matrix Arithmetic 
 root :   Root Finding 
 roots :   Multiple Solutions 
 rot :   Binary Functions 
 round :   Integer Truncation 
 rounde :   Integer Truncation 
 roundu :   Integer Truncation 
 rreduce :   Reducing 
 rreducea :   Reducing 
 rreducec :   Reducing 
 rreduced :   Reducing 
 rreducer :   Reducing 
 rsh :   Binary Functions 
 rsort :   Manipulating Vectors 
 rsubvec :   Extracting Elements 
 rtail :   Building Vectors 

S   
 scf :   Basic Arithmetic 
 schedule :   MultiPhase Rewrite Rules 
 sdev :   Error Forms 
 sec :   Trigonometric and Hyperbolic Functions 
 sech :   Trigonometric and Hyperbolic Functions 
 second :   Date Functions 
 select :   Other Features of Rewrite Rules 
 seq :   Rewrites Answer 4 
 shuffle :   Random Numbers 
 Si :   Programming Tutorial 
 sign :   Basic Arithmetic 
 simplify :   Simplifying Formulas 
 sin :   Trigonometric and Hyperbolic Functions 
 sincos :   Trigonometric and Hyperbolic Functions 
 sinh :   Trigonometric and Hyperbolic Functions 
 sln :   Depreciation Functions 
 solve :   Solving Equations 
 sort :   Manipulating Vectors 
 spn :   Musical Notes 
 sqr :   Scientific Functions 
 sqrt :   Basic Arithmetic 
 stir1 :   Combinatorial Functions 
 stir2 :   Combinatorial Functions 
 string :   Strings 
 sub :   Specifying Operators 
 subscr :   Extracting Elements 
 subst :   Algebraic Manipulation 
 subvec :   Extracting Elements 
 sum :   Summations 
 syd :   Depreciation Functions 

T   
 table :   Summations 
 tail :   Building Vectors 
 tan :   Trigonometric and Hyperbolic Functions 
 tanh :   Trigonometric and Hyperbolic Functions 
 taylor :   Taylor Series 
 tderiv :   Differentiation 
 thecoefs :   Polynomials 
 thefactors :   Polynomials 
 tilde :   TeX and LaTeX Language Modes 
 Tilde :   TeX and LaTeX Language Modes 
 time :   Date Functions 
 totient :   Combinatorial Functions 
 tr :   Vector and Matrix Arithmetic 
 trn :   Manipulating Vectors 
 trunc :   Integer Truncation 
 typeof :   Logical Operations 
 tzconv :   Date Conversions 
 tzone :   Time Zones 

U   
 under :   TeX and LaTeX Language Modes 
 unixtime :   Date Conversions 
 unpack :   Packing and Unpacking 
 unpackt :   Packing and Unpacking 
 usimplify :   Basic Operations on Units 
 utpb :   Probability Distribution Functions 
 utpc :   Probability Distribution Functions 
 utpf :   Probability Distribution Functions 
 utpn :   Probability Distribution Functions 
 utpp :   Probability Distribution Functions 
 utpt :   Probability Distribution Functions 

V   
 variable :   Logical Operations 
 vcard :   Set Operations 
 vcompl :   Set Operations 
 vconcat :   Specifying Operators 
 vcorr :   PairedSample Statistics 
 vcount :   SingleVariable Statistics 
 vcov :   PairedSample Statistics 
 vdiff :   Set Operations 
 vec :   Vectors and Matrices 
 Vec :   TeX and LaTeX Language Modes 
 VEC :   TeX and LaTeX Language Modes 
 venum :   Set Operations 
 vexp :   Manipulating Vectors 
 vflat :   SingleVariable Statistics 
 vfloor :   Set Operations 
 vgmean :   SingleVariable Statistics 
 vhmean :   SingleVariable Statistics 
 vint :   Set Operations 
 vlen :   Manipulating Vectors 
 vmask :   Manipulating Vectors 
 vmatches :   Matching Commands 
 vmax :   SingleVariable Statistics 
 vmean :   SingleVariable Statistics 
 vmeane :   SingleVariable Statistics 
 vmedian :   SingleVariable Statistics 
 vmin :   SingleVariable Statistics 
 vpack :   Set Operations 
 vpcov :   PairedSample Statistics 
 vprod :   SingleVariable Statistics 
 vpsdev :   SingleVariable Statistics 
 vpvar :   SingleVariable Statistics 
 vsdev :   SingleVariable Statistics 
 vspan :   Set Operations 
 vsum :   SingleVariable Statistics 
 vunion :   Set Operations 
 vunpack :   Set Operations 
 vvar :   SingleVariable Statistics 
 vxor :   Set Operations 

W   
 weekday :   Date Functions 
 wmaximize :   Minimization 
 wminimize :   Minimization 
 wroot :   Root Finding 

X   
 xfit :   Error Estimates for Fits 
 xor :   Binary Functions 
 xpon :   Basic Arithmetic 
 xy :   Basic Graphics 
 xyz :   Three Dimensional Graphics 

Y   
 year :   Date Functions 
 yearday :   Date Functions 
