Function

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 infints int integral integrate integrates odetest semid semiint series taylor totald
   5. 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 the nth derivative formula.
   6. 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.
   7. Discrete math function:
      difference differences Delta Deltas 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(x) convert x to sum.
      
   9. Inert function: If add profix "s" to function name, it becomes to inert function, inactivative, e.g. ds(), integrates(). To activate by removing its last letter "s" or by clicking the simplify 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".
      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

3. Add New Function

4. Usage