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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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A B C D E F G H I J K L M N O P Q R S T U V W X Y
Index EntrySection

_
_ 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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A B C D E F G H I J K L M N O P Q R S T U V W X Y

Next: Concept Index, Previous: Index of Calculator Commands, Up: The GNU Emacs Calculator [Contents][Index]

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