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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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