Index of Algebraic Functions

This is a list of built-in functions and operators usable in algebraic expressions. Their full Lisp names are derived by adding the prefix ‘calcFunc-’, as in calcFunc-sqrt.

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	Index Entry	Section
***
_
	_	Extracting Elements
***
-
	-	Basic Arithmetic
***
:
	:	Logical Operations
	::	Other Features of Rewrite Rules
	:=	Evaluates-To Operator
***
!
	!	Combinatorial Functions
	!	Logical Operations
	!!	Combinatorial Functions
	!!!	Other Features of Rewrite Rules
	!=	Logical Operations
***
?
	?	Logical Operations
***
*
	*	Basic Arithmetic
***
/
	/	Basic Arithmetic
***
\
	\	Basic Arithmetic
***
&
	&&	Logical Operations
	&&&	Other Features of Rewrite Rules
***
%
	%	Basic Arithmetic
	%	Percentages
***
^
	^	Basic Arithmetic
***
+
	+	Basic Arithmetic
	+/-	Error Forms
***
<
	<	Logical Operations
	<=	Logical Operations
***
=
	=	Logical Operations
	==	Logical Operations
	=>	Evaluates-To Operator
***
>
	>	Logical Operations
	>=	Logical Operations
***
|
	|	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	Single-Variable 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	Evaluates-To 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	Evaluates-To 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	Multi-Phase 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
	rms	Single-Variable Statistics
	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	Multi-Phase 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	Paired-Sample Statistics
	vcount	Single-Variable Statistics
	vcov	Paired-Sample 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	Single-Variable Statistics
	vfloor	Set Operations
	vgmean	Single-Variable Statistics
	vhmean	Single-Variable Statistics
	vint	Set Operations
	vlen	Manipulating Vectors
	vmask	Manipulating Vectors
	vmatches	Matching Commands
	vmax	Single-Variable Statistics
	vmean	Single-Variable Statistics
	vmeane	Single-Variable Statistics
	vmedian	Single-Variable Statistics
	vmin	Single-Variable Statistics
	vpack	Set Operations
	vpcov	Paired-Sample Statistics
	vprod	Single-Variable Statistics
	vpsdev	Single-Variable Statistics
	vpvar	Single-Variable Statistics
	vsdev	Single-Variable Statistics
	vspan	Set Operations
	vsum	Single-Variable Statistics
	vunion	Set Operations
	vunpack	Set Operations
	vvar	Single-Variable 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
***

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