AI math handbook calculator - Fractional Calculus Computer Algebra System software
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Function
Usual keywords are lowercase, which are different from uppercase, e.g. sin is different from Sin.
1. Classification
Math function
Standard Function
Special Function :
beta
binomial
ci
chi
ei
eta
erf
erfc
erfi
gamma
harmonic
li
loggamma
polygamma
polylog
Phi
psi
si
shi
mittag
tani
zeta
Inverse function:
The inverse of trig function is denoted by prefix "a" onto function name, e.g. asin(x) is inverse of sin(x) for `sin^-1(x)` ,
other inverse function is denoted by prefix "inverse" onto function name, e.g. inversef(x) is inverse of f(x) for `f^-1(x)`.
The nth order derivative function:
the 0.5th order derivative of sin(x) is denoted by sin(0.5,x) for `sin^((0.5))(x)`.
the nthd () gives a nth derivative formula.
Calculus function:
lim
limit
d
diff
ds
dsolve
infint
infints
int
integral
integrate
integrates
odetest
semid
semiint
series
taylor
totald
Integral function:
Its last letter is "i" for integral, e.g. ei(x) is exp integral of exp(x)/x, tani(x) is tan(x)/x integral.
Discrete math function:
difference
differences
Delta
Deltas
sum
sums
sum0n
sum1n
sum0inf
sum1inf
infsum
partialsum
psum
infsum1
partialsum1
psum1
recurrence
rsolve
tosum
Inert function: Its last letter is "s", e.g. ds(), integrates().
Numeric function: Its first letter is "n" for numeric, e.g. nsum() is numeric sum.
Programming function
Conversion function: convert() convert to another form. Or its first two letters are "to".
Test function: Its first two letters are "is".
Internal Function - system function in the .class file.
External Function - user-defined function in text file, which is auto loaded. You can add your own new function.
2. Definition
Clicking or inputing a function enters it to the Calculator , then click the definition buttion to get its definition.
3. Add New Function
Add or define new function of a single character name by f(x)=sin(x), other new function by ff(x_):=sin(x).
4. Usage
It is similar to math function in Java, JavaScript and Maple. See manual .
convert
gamma
5. Function source
abs
acos
acosh
acot
acoth
acsc
acsch
arg
asec
asech
asin
asinh
assume
atan
atan2
atanh
beta
binomial
cbrt
ci
cis
combination
conjugate
convert
cos
cosh
csgn
d
def
define
definition
delta
diff
difference
digamma
doublefactorial
ds
dsolve
ei
eta
erf
erfc
erfi
exp
expand
expandexp
expandtrig
factor
factorial
factorialpower
fallingfactorial
For
gamma
gauss
gaussian
gcd
hypot
If
im
infint
infints
infsum
infsums
int
integral
integrate
integrates
inverse
inversef
inverselaplace
isatom
isconstant
iscomplex
isfloat
iseven
isfree
isfunction
isinteger
isnumber
isodd
isprime
laplace
lg
li
lim
limit
ln
log
log10
loggamma
max
min
mittag
n
nint
nlim
not
nsolve
nsum
odetest
parametricplot
plot
phi
pochhammer
polarplot
polycoff
polygamma
polylog
prime
prod
product
psi
psolve
random
re
recurrence
risingfactorial
rsolve
semid
semiint
series
sgn
sign
si
simplify
sin
sinc
sinh
solve
sqrt
sum
tan
tanh
tangent
taylor
theta
ti
todegree
toexp
togamma
tofactorial
tolog
toint
tosum
toparfrac
topolar
topower
toradian
totrig
totrigh
totald
trigamma
type
value
zeta
See Also