function name  note  example 
General  
Sqr  compute square root of a number/complex can also compute Sqr on all items of a list 
example 12 Sqr gives 1.4142135.. example 2 (with complex) (1;0) Sqr gives { (0;1) (0;1) } there are the two roots of 1 !! example 3 (a list) {1 2 3} Sqr gives {1 1.41.. 1.73..} 
x^y  x power y can be used as xroot usefull to get all roots of complex 
example 12 3 x^y compute 2^3 and gives : 8 example 2 2 3 1/x x^y compute 2^^{(1/3)} and gives 1.259..
example 3 (complex) (1;1) 3 x^y gives (2;2) example 4 (complex) (1;1) 3 1/x x^y gives {(1.08;0.29)(0.79;0.79)(0.29;1.08)} there are the 3 roots of (1;1) complex number, and are given in a list. (1;1)^^{1/3} 
e  exp 
exemple 12 e gives 7.389.. exemple 2 complex (2;1) e gives (3.99;6.21) 
Trigonometric  
SIN  compute a sine 
note that angles are given is radians. exemple 1 PI 3 / SIN gives 0.866.. now, just click on button (upperright) and now 0.866 is displayed as sqr(3)/2 yes : sin(pi/3) = sqr(3)/2 exemple 2 complex (2;1) SIN gives (1.403;0.489) 
Complex  
C>R@  explode a complex in rho theta  exemple(1;1) C>R@ gives 1.414213 0.78539 ok, now go into rational mode display (click on ) you will see the results displayed as : Sqr(2) pi/4 sqr(2) is the module and pi/4 is the angle. when you are in rational mode display, just the display is affected, value are stored with all digits. 
/  complex division  exemple(1;1) (0;1) / gives (1;1) means that (1+i)/i = 1+i 
<>(x;y) <>(r;@)  change complex display mode to switch polar/rect. mode 
exemple go into polar(1;1) <>(x;y) gives (1.4142 @:2.3561) if you are in rational mode display you will get (sqr(2) @:3*pi/4) exemple go into rect. (1.4142 @:2.3561) <>(r;@) gives (1;1) 
Matrix  
DET  Compute a DET on a real/complex matrix 
exemple 1[[1 2 3][1 1 1][2 3 3]] DET gives 5 exemple 2 complex [[1 2][(1;1) 1]] DET gives (3;2) 
/  vector / matrix system solving 
exemple How to solve this system ? { 3x + (1i)y = 1 { (2+i)x + iy = 1+iThat simple, just type that : [1 (1;1)] [[3 (1;1)][(2;1) (0;1)]] /
and you will get the x and y :[[(0.4;0.2)][(0.2;0.4)]] that mean that x = 0.4 + i*0.2 and y = 0.2  i*0.4 
String/File  
how to encode a file in base64 ? 
You can easily (and safely) decode an email attachment by selecting in email source the base64 attachement code, just draganddrop it into RPNEnh and use B64>. 

Arithmetics  
PRIMES  list of prime numbers  example a list of the 10 first prime numbers : 10 PRIMES gives { 2 3 5 7 11 13 17 19 23 29} 
Factors  split a number with prime numbers  example 63 Factors gives { 3 3 7 } because 63 = 3*3*7 
Category  functions  TODO (not yet handled)  status 
General  +  * / NEG ^2 x^y PI 1/x Sqr e 10^x MOD ABS ln log ax˛+bx+c  complete!  
Trigo  SIN COS TAN ASIN ACOS ATAN D>R R>D  complete!  
Complex  C>XY C>R@ XY>C <>(x;y) conj  complete!  
Bases  >DMS >DEC >BIN >HEX  complete!  
Matrix  DET []> >[] tr COMAT []>{} {}>[] PCAR ID RndMX DelRow  dim rank  89% 
Lists  list> >list add get sum reverse sort size head min max  complete!  
Strings  str> >str add len chr asc get md5 >B64 B64> head repl fill disp  CRC16  98% 
Pourcent  y%x d% xy% x+y% x%+y% S+x%n  complete  
Stack  SWAP DUP DUP2 CLEAR OVER ROT AROT PICK DEPTH ROLLD STKUP STKDWN  complete!  
Stat  sum mean Stdev  complete  
Arithm  Factors FACT PRIMES  PGCD/LCD PPCM/LCM nPr Cnp  not urgent 
File  FileRead FileWrite md5f FileReadCVS  complete!  
Vectors  PrdScal PrdVect PrdVect VectAngle  complete!  
Polynomials  poly>list list>poly Roots PolyDraw Roots>Poly  complete!  
Script  Serialize unSerialise SetMenu SendKeys Time FOR...NEXT list>script VARMenu  run  not urgent 