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Function

Usual keywords are lowercase, which are different from uppercase, e.g. sin is different from Sin.

1. Classification

  1. Math function
    1. Standard Function
    2. Special Function:
      beta binomial ci chi ei eta erf erfc erfi gamma harmonic lerch li loggamma polygamma polylog psi si shi mittag tani zeta
    3. 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)`.
    4. Calculus function:
      lim limit d diff ds dsolve infint int integral integrate integrates odetest semid semiint series taylor totald
    5. The nth order derivative function:
      The nthd() gives the nth derivative formula. It is higher derivative. The 0.5th order derivative of sin(x) is denoted by sin(0.5,x) for `sin^((0.5))(x)`. The minus order derivative is intergal, e.g. `sin^((-1))(x)` is `int` sin(x), it is different from `sin^-1(x)`, which is inverse of sin(x). A non-integer derivative is inert, e.g. `sin^((0.5))(x)`, to activate by clicking the evaluate button.
    6. Integral function:
      Its last letter is "i" for integral, e.g. ei(x) is exp integral of exp(x)/x, tani(x) is integral of tan(x)/x.
    7. Discrete math function:
      difference differences Delta sum sums sum0n sum1n sum0inf sum1inf infsum partialsum psum infsum1 partialsum1 psum1 recurrence rsolve tosum
    8. Conversion function: convert() convert to another form. Or its first two letters are "to", e.g. tosum convert x to sum.
    9. Inert function: If add profix "s" to function name, it becomes to inert function, inactivative, e.g. ds(), integrates(). A non-integer derivative is inert, e.g. `sin^((0.5))(x)`, to activate by removing its last letter "s" or by clicking the evaluate button.
    10. Numeric function: Its first letter is "n" for numeric, e.g. nsum() is numeric sum.
  2. Programming function
    1. Test function: Its first two letters are "is". e.g. isreal().
      block if for
  3. Internal Function - system function in the .class file.
  4. 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.
You can use first function as command and "to" as ",", e.g.
  • convert `Gamma(x)` to x!
    then hit the button or the ENTER key in your keybord.

    convert
    dsolve
    gamma

    5. Function source

    abs
    activate
    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
    dilog
    doublefactorial
    ds
    dsolve

    ei
    evaluate
    eta
    erf
    erfc
    erfi
    exp
    expand
    expandexp
    expandtrig

    factor
    factorial
    factorialpower
    fallingfactorial
    For

    gamma
    gauss
    gaussian
    gcd

    harmonic
    has
    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
    polyt
    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
    tani
    tanh
    tangent
    taylor
    theta
    tocos
    todegree
    toerf
    toexp
    togamma
    tofactorial
    tolog
    toint
    tosum
    toparfrac
    topolar
    topoly
    topower
    tosin
    toradian
    totrig
    totrigh
    totald
    trigamma
    type

    value

    zeta

    


    See Also

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