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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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