Function Index

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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'.

^: Basic Arithmetic: 111.
\: Basic Arithmetic: 122.
%: Basic Arithmetic: 129.
+: Basic Arithmetic: 6.
-: Basic Arithmetic: 65.
*: Basic Arithmetic: 70.
/: Basic Arithmetic: 90.
|: Building Vectors: 8.
!: Combinatorial Functions: 23.
_: Extracting Elements: 24.
=: Logical Operations: 20.
<: Logical Operations: 51.
>: Logical Operations: 51.
!: Logical Operations: 87.
: Logical Operations. 91.
?: Logical Operations: 91.
%: Percentages: 5.
!!: Combinatorial Functions: 33.
=>: Evaluates-To Operator: 6.
: =: Evaluates-To Operator: 89.
==: Logical Operations: 20.
!=: Logical Operations: 46.
<=: Logical Operations: 51.
>=: Logical Operations: 51.
&&: Logical Operations: 76.
||: Logical Operations: 82.
: : Other Features of Rewrite Rules. 73.
+/-: Error Forms: 46.
&&&: Other Features of Rewrite Rules: 78.
|||: Other Features of Rewrite Rules: 84.
!!!: Other Features of Rewrite Rules: 89.
abs: Basic Arithmetic: 150.
abs (vectors): Vector and Matrix Arithmetic: 18.
abssqr: Basic Arithmetic: 160.
accum: Reducing: 20.
acute: TeX Language Mode: 55.
add: Specifying Operators: 93.
afixp: Nesting and Fixed Points: 22.
agmean: Single-Variable Statistics: 108.
alog: Logarithmic Functions: 21.
an: Multiple Solutions: 35.
and: Binary Functions: 56.
anest: Nesting and Fixed Points: 13.
apart: Polynomials: 106.
append: Building Vectors: 21.
apply: Reducing and Mapping: 8.
apply (rewrites): Other Features of Rewrite Rules: 107.
arccos: Trigonometric and Hyperbolic Functions: 43.
arccosh: Trigonometric and Hyperbolic Functions: 43.
arcsin: Trigonometric and Hyperbolic Functions: 33.
arcsincos: Trigonometric and Hyperbolic Functions: 58.
arcsinh: Trigonometric and Hyperbolic Functions: 38.
arctan: Trigonometric and Hyperbolic Functions: 43.
arctan2: Trigonometric and Hyperbolic Functions: 48.
arctanh: Trigonometric and Hyperbolic Functions: 43.
arg: Complex Number Functions: 11.
arrange: Manipulating Vectors: 22.
as: Multiple Solutions: 35.
ash: Binary Functions: 96.
assign: Evaluates-To Operator: 89.
asum: Summations: 107.
badd: Business Days: 12.
bar: TeX Language Mode: 55.
bcount: Bit Counting Example: 6.
bern: Combinatorial Functions: 51.
besJ: Advanced Math Functions: 58.
besY: Advanced Math Functions: 58.
beta: Advanced Math Functions: 41.
betaB: Advanced Math Functions: 46.
betaI: Advanced Math Functions: 46.
breve: TeX Language Mode: 55.
bstring: Strings: 55.
bsub: Business Days: 12.
call: Specifying Operators: 101.
cascent: Information about Compositions: 18.
cbase: Vertical Compositions: 15.
cbbase: Vertical Compositions: 28.
cbspace: Other Compositions: 39.
cdescent: Information about Compositions: 18.
ceil: Integer Truncation: 19.
cflat: Other Compositions: 15.
check: TeX Language Mode: 55.
cheight: Information about Compositions: 15.
choose: Combinatorial Functions: 41.
choriz: Horizontal Compositions: 5.
clean: Conversions: 127.
clip: Binary Functions: 25.
clvert: Vertical Compositions: 58.
cnorm: Vector and Matrix Arithmetic: 31.
collect: Polynomials: 69.
condition: Other Features of Rewrite Rules: 73.
conj: Complex Number Functions: 6.
cons: Building Vectors: 91.
cons (rewrites): Other Features of Rewrite Rules: 94.
constant: Logical Operations: 144.
cos: Trigonometric and Hyperbolic Functions: 43.
cosh: Trigonometric and Hyperbolic Functions: 43.
cprec: Composition Basics: 70.
cross: Vector and Matrix Arithmetic: 37.
crule: Vertical Compositions: 45.
crvert: Vertical Compositions: 58.
cspace: Other Compositions: 20.
csub: Other Compositions: 10.
csup: Other Compositions: 6.
ctbase: Vertical Compositions: 28.
ctrn: Vector and Matrix Arithmetic: 15.
ctspace: Other Compositions: 39.
curve: Composing Patterns in Rewrite Rules: 43.
cvec: Building Vectors: 79.
cvert: Vertical Compositions: 6.
cvspace: Other Compositions: 33.
cwidth: Information about Compositions: 9.
date: Date Conversions: 6.
day: Date Functions: 24.
ddb: Depreciation Functions: 28.
decr: Basic Arithmetic: 215.
deg: Conversions: 56.
deriv: Differentiation: 6.
det: Vector and Matrix Arithmetic: 51.
deven: Functions for Declarations: 56.
dfact: Combinatorial Functions: 33.
diag: Building Vectors: 31.
diff: Binary Functions: 70.
dimag: Functions for Declarations: 37.
dint: Functions for Declarations: 21.
div: Specifying Operators: 93.
dnatnum: Functions for Declarations: 21.
dneg: Functions for Declarations: 40.
dnonneg: Functions for Declarations: 40.
dnonzero: Functions for Declarations: 48.
dnumint: Functions for Declarations: 21.
dodd: Functions for Declarations: 56.
dot: TeX Language Mode: 55.
dotdot: TeX Language Mode: 55.
dpos: Functions for Declarations: 40.
drange: Functions for Declarations: 62.
drat: Functions for Declarations: 30.
dreal: Functions for Declarations: 34.
dsadj: Time Zones: 196.
dscalar: Functions for Declarations: 71.
dyad: TeX Language Mode: 55.
efit: Error Estimates for Fits: 6.
egcd: Combinatorial Functions: 19.
Ei: Customizing the Integrator: 21.
elim: Solving Systems of Equations: 29.
ends: Composing Patterns in Rewrite Rules: 25.
eq: Logical Operations: 20.
erf: Advanced Math Functions: 52.
erfc: Advanced Math Functions: 52.
esimplify: Unsafe Simplifications: 6.
euler: Combinatorial Functions: 59.
eval: Other Features of Rewrite Rules: 187.
evalextsimp: Other Features of Rewrite Rules: 202.
evalsimp: Other Features of Rewrite Rules: 197.
evalto: Evaluates-To Operator: 6.
evalv: Algebraic Manipulation: 39.
evalvn: Algebraic Manipulation: 39.
exp: Logarithmic Functions: 10.
exp10: Logarithmic Functions: 15.
expand: Polynomials: 84.
expm1: Logarithmic Functions: 36.
fact: Combinatorial Functions: 23.
factor: Polynomials: 12.
factors: Polynomials: 57.
fceil: Integer Truncation: 19.
fdiv: Basic Arithmetic: 137.
ffinv: Multiple Solutions: 56.
ffloor: Integer Truncation: 14.
fib: Rewrites Tutorial: 183.
find: Manipulating Vectors: 15.
finv: Multiple Solutions: 56.
fit: Linear Fits: 6.
fitdummy: Curve Fitting Details: 157.
fitmodel: Curve Fitting Details: 157.
fitparam: Curve Fitting Details: 157.
fitsystem: Curve Fitting Details: 157.
fitvar: Curve Fitting Details: 157.
fixp: Nesting and Fixed Points: 18.
float: Conversions: 29.
floor: Integer Truncation: 14.
frac: Conversions: 52.
fround: Integer Truncation: 23.
frounde: Integer Truncation: 40.
froundu: Integer Truncation: 40.
fsolve: Multiple Solutions: 5.
ftrunc: Integer Truncation: 29.
fv: Future Value: 6.
fvb: Future Value: 14.
fvl: Future Value: 23.
gamma: Advanced Math Functions: 17.
gammaG: Advanced Math Functions: 24.
gammag: Advanced Math Functions: 24.
gammaP: Advanced Math Functions: 24.
gammaQ: Advanced Math Functions: 24.
gcd: Combinatorial Functions: 8.
geq: Logical Operations: 51.
getdiag: Extracting Elements: 40.
gpoly: Decomposing Polynomials: 23.
grade: Manipulating Vectors: 53.
grave: TeX Language Mode: 55.
gt: Logical Operations: 51.
hasfitparams: Curve Fitting Details: 234.
hasfitvars: Curve Fitting Details: 234.
hat: TeX Language Mode: 55.
head: Building Vectors: 86.
histogram: Manipulating Vectors: 80.
hms: Conversions: 64.
holiday: Business Days: 117.
hour: Date Functions: 27.
hypot: Basic Arithmetic: 177.
idiv: Basic Arithmetic: 122.
idn: Building Vectors: 44.
ierf: Other Features of Rewrite Rules: 247.
if: Logical Operations: 91.
ilog: Logarithmic Functions: 28.
im: Complex Number Functions: 27.
import: Other Features of Rewrite Rules: 10.
in: Logical Operations: 111.
incmonth: Date Functions: 98.
incr: Basic Arithmetic: 215.
incyear: Date Functions: 108.
index: Building Vectors: 60.
inner: Generalized Products: 13.
integ: Integration: 6.
integer: Logical Operations: 144.
intv: Interval Forms: 69.
inv: Basic Arithmetic: 169.
inv (matrices): Vector and Matrix Arithmetic: 41.
irr: Related Financial Functions: 51.
irrb: Related Financial Functions: 56.
islin: Logical Operations: 186.
islinnt: Logical Operations: 186.
isqrt: Basic Arithmetic: 183.
istrue: Logical Operations: 217.
iterations: Nested Formulas with Rewrite Rules: 43.
julian: Date Conversions: 34.
lambda: Specifying Operators: 80.
land: Logical Operations: 76.
lcm: Combinatorial Functions: 15.
leq: Logical Operations: 51.
let: Other Features of Rewrite Rules: 204.
lin: Logical Operations: 186.
linnt: Logical Operations: 186.
ln: Logarithmic Functions: 6.
lnot: Logical Operations: 87.
lnp1: Logarithmic Functions: 40.
log: Logarithmic Functions: 21.
log10: Logarithmic Functions: 15.
lor: Logical Operations: 82.
lsh: Binary Functions: 77.
lt: Logical Operations: 51.
ltpb: Probability Distribution Functions: 21.
ltpc: Probability Distribution Functions: 39.
ltpf: Probability Distribution Functions: 43.
ltpn: Probability Distribution Functions: 48.
ltpp: Probability Distribution Functions: 52.
ltpt: Probability Distribution Functions: 56.
lud: Vector and Matrix Arithmetic: 54.
makemod: Modulo Forms: 60.
mant: Basic Arithmetic: 198.
map: Mapping: 6.
mapa: Mapping: 72.
mapc: Mapping: 38.
mapd: Mapping: 72.
mapeq: Algebraic Manipulation: 73.
mapeqp: Algebraic Manipulation: 98.
mapeqr: Algebraic Manipulation: 104.
mapr: Mapping: 23.
match: Matching Commands: 6.
matches: Matching Commands: 28.
matchnot: Matching Commands: 25.
max: Basic Arithmetic: 191.
maximize: Minimization: 6.
mcol: Extracting Elements: 44.
mdims: Manipulating Vectors: 10.
min: Basic Arithmetic: 191.
minimize: Minimization: 6.
minute: Date Functions: 32.
mod: Specifying Operators: 93.
mod (operator): Modulo Forms: 38.
moebius: Combinatorial Functions: 122.
month: Date Functions: 21.
mrcol: Extracting Elements: 44.
mrow: Extracting Elements: 6.
mrrow: Extracting Elements: 34.
mul: Specifying Operators: 93.
mysin: Sine Example: 6.
neg: Specifying Operators: 93.
negative: Logical Operations: 166.
neq: Logical Operations: 46.
nest: Nesting and Fixed Points: 6.
newmonth: Date Functions: 50.
newweek: Date Functions: 68.
newyear: Date Functions: 58.
nextprime: Combinatorial Functions: 103.
ninteg: Numerical Integration: 6.
nonvar: Logical Operations: 180.
not: Binary Functions: 74.
now: Date Functions: 6.
nper: Related Financial Functions: 20.
nperb: Related Financial Functions: 27.
nperl: Related Financial Functions: 32.
npv: Present Value: 45.
npvb: Present Value: 66.
nrat: Polynomials: 113.
nroot: Basic Arithmetic: 118.
nterms: Rewrites Answer 5: 6.
opt: Other Features of Rewrite Rules: 52.
or: Binary Functions: 62.
outer: Generalized Products: 5.
pack: Packing and Unpacking: 117.
pand: Other Features of Rewrite Rules: 78.
pclean: Conversions: 82.
pcont: Decomposing Polynomials: 82.
pdeg: Decomposing Polynomials: 65.
pdiv: Polynomials: 120.
pdivide: Polynomials: 141.
pdivrem: Polynomials: 141.
percent: Percentages: 5.
perm: Combinatorial Functions: 48.
pfloat: Conversions: 8.
pfrac: Conversions: 39.
pgcd: Polynomials: 148.
phase: Multi-Phase Rewrite Rules: 10.
plain: Other Features of Rewrite Rules: 41.
plead: Decomposing Polynomials: 76.
pmt: Related Financial Functions: 8.
pmtb: Related Financial Functions: 13.
pnot: Other Features of Rewrite Rules: 89.
polar: Conversions: 73.
polint: Interpolation: 5.
poly: Decomposing Polynomials: 6.
por: Other Features of Rewrite Rules: 84.
pow: Specifying Operators: 93.
pprim: Decomposing Polynomials: 101.
prem: Polynomials: 135.
prevprime: Combinatorial Functions: 115.
prfac: Combinatorial Functions: 93.
prime: Combinatorial Functions: 86.
Prime: TeX Language Mode: 55.
prod: Summations: 119.
pv: Present Value: 6.
pvb: Present Value: 27.
pvl: Present Value: 33.
pwday: Date Functions: 87.
quote: Other Features of Rewrite Rules: 31.
raccum: Reducing: 26.
rad: Conversions: 61.
random: Random Numbers: 6.
rash: Binary Functions: 101.
rate: Related Financial Functions: 38.
rateb: Related Financial Functions: 43.
ratel: Related Financial Functions: 43.
ratint: Interpolation: 35.
rcons: Building Vectors: 97.
rcons (rewrites): Other Features of Rewrite Rules: 102.
rdup: Set Operations: 34.
re: Complex Number Functions: 23.
real: Logical Operations: 144.
rect: Conversions: 73.
reduce: Reducing: 6.
reducea: Reducing: 30.
reducec: Reducing: 50.
reduced: Reducing: 30.
reducer: Reducing: 39.
refers: Logical Operations: 159.
relch: Percentages: 45.
remember: Other Features of Rewrite Rules: 297.
rev: Manipulating Vectors: 104.
rewrite: Rewrite Rules: 6.
rgrade: Manipulating Vectors: 53.
rhead: Building Vectors: 97.
rmeq: Logical Operations: 66.
rnorm: Vector and Matrix Arithmetic: 25.
root: Root Finding: 6.
roots: Multiple Solutions: 63.
rot: Binary Functions: 110.
round: Integer Truncation: 23.
rounde: Integer Truncation: 40.
roundu: Integer Truncation: 40.
rreduce: Reducing: 14.
rreducea: Reducing: 30.
rreducec: Reducing: 50.
rreduced: Reducing: 30.
rreducer: Reducing: 39.
rsh: Binary Functions: 92.
rsort: Manipulating Vectors: 39.
rsubvec: Extracting Elements: 74.
rtail: Building Vectors: 97.
scf: Basic Arithmetic: 209.
schedule: Multi-Phase Rewrite Rules: 52.
sdev: Error Forms: 65.
second: Date Functions: 35.
select: Other Features of Rewrite Rules: 149.
seq: Rewrites Answer 4: 6.
shuffle: Random Numbers: 66.
Si: Programming Tutorial: 48.
sign: Basic Arithmetic: 163.
simplify: Simplifying Formulas: 6.
sin: Trigonometric and Hyperbolic Functions: 6.
sincos: Trigonometric and Hyperbolic Functions: 58.
sinh: Trigonometric and Hyperbolic Functions: 38.
sln: Depreciation Functions: 15.
solve: Solving Equations: 6.
sort: Manipulating Vectors: 39.
sqr: Scientific Functions: 22.
sqrt: Basic Arithmetic: 173.
stir1: Combinatorial Functions: 64.
stir2: Combinatorial Functions: 64.
string: Strings: 40.
sub: Specifying Operators: 93.
subscr: Extracting Elements: 24.
subst: Algebraic Manipulation: 109.
subvec: Extracting Elements: 57.
sum: Summations: 6.
syd: Depreciation Functions: 21.
table: Summations: 125.
tail: Building Vectors: 86.
tan: Trigonometric and Hyperbolic Functions: 43.
tanh: Trigonometric and Hyperbolic Functions: 43.
taylor: Taylor Series: 6.
tderiv: Differentiation: 6.
thecoefs: Polynomials: 38.
thefactors: Polynomials: 38.
tilde: TeX Language Mode: 55.
time: Date Functions: 47.
totient: Combinatorial Functions: 118.
tr: Vector and Matrix Arithmetic: 61.
trn: Manipulating Vectors: 99.
trunc: Integer Truncation: 29.
typeof: Logical Operations: 121.
tzconv: Date Conversions: 59.
tzone: Time Zones: 28.
under: TeX Language Mode: 55.
unixtime: Date Conversions: 49.
unpack: Packing and Unpacking: 170.
unpackt: Packing and Unpacking: 176.
usimplify: Basic Operations on Units: 30.
utpb: Probability Distribution Functions: 21.
utpc: Probability Distribution Functions: 39.
utpf: Probability Distribution Functions: 43.
utpn: Probability Distribution Functions: 48.
utpp: Probability Distribution Functions: 52.
utpt: Probability Distribution Functions: 56.
variable: Logical Operations: 175.
vcard: Set Operations: 98.
vcompl: Set Operations: 71.
vconcat: Specifying Operators: 93.
vcorr: Paired-Sample Statistics: 27.
vcount: Single-Variable Statistics: 36.
vcov: Paired-Sample Statistics: 12.
vdiff: Set Operations: 55.
Vec: TeX Language Mode: 55.
vec: Vectors and Matrices: 30.
venum: Set Operations: 86.
vexp: Manipulating Vectors: 119.
vflat: Single-Variable Statistics: 150.
vfloor: Set Operations: 77.
vgmean: Single-Variable Statistics: 103.
vhmean: Single-Variable Statistics: 99.
vint: Set Operations: 47.
vlen: Manipulating Vectors: 6.
vmask: Manipulating Vectors: 110.
vmatches: Matching Commands: 33.
vmax: Single-Variable Statistics: 48.
vmean: Single-Variable Statistics: 55.
vmeane: Single-Variable Statistics: 73.
vmedian: Single-Variable Statistics: 85.
vmin: Single-Variable Statistics: 48.
vpack: Set Operations: 114.
vpcov: Paired-Sample Statistics: 23.
vprod: Single-Variable Statistics: 42.
vpsdev: Single-Variable Statistics: 130.
vpvar: Single-Variable Statistics: 143.
vsdev: Single-Variable Statistics: 116.
vspan: Set Operations: 92.
vsum: Single-Variable Statistics: 42.
vunion: Set Operations: 42.
vunpack: Set Operations: 114.
vvar: Single-Variable Statistics: 143.
vxor: Set Operations: 65.
weekday: Date Functions: 40.
wmaximize: Minimization: 38.
wminimize: Minimization: 38.
wroot: Root Finding: 52.
xfit: Error Estimates for Fits: 51.
xor: Binary Functions: 66.
xpon: Basic Arithmetic: 198.
xy: Basic Graphics: 32.
xyz: Three Dimensional Graphics: 38.
year: Date Functions: 15.
yearday: Date Functions: 43.

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