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
!
	!:		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
	:=:		Evaluates-To Operator
<
	<:		Logical Operations
	<=:		Logical Operations
=
	=:		Logical Operations
	==:		Logical Operations
	=>:		Evaluates-To 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:		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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